System and method for predicting physical properties of a multi-layer material

Abstract

In the case of developing a multi-layer material having a laminated structure, the present technology can predict physical properties of the entire laminate, such as the elastic modulus, the shear modulus, and the Poisson's ratio, and can extract not only the homogenized stiffness of the entire laminate of the multi-layer material but also the physical property values or thicknesses of the undetermined layers.

Description

Technical Field

[0001] This application claims priority and benefit to Korean Patent Application No. 10-2021-0138914, filed on October 19, 2021; Korean Patent Application No. 10-2021-0138918, filed on October 19, 2021; and Korean Patent Application No. 10-2022-0086160, filed on July 13, 2022, the disclosures of which are incorporated herein by reference in their entirety.

[0002] This invention relates to systems and methods for predicting the physical properties of multilayer materials. Background Technology

[0003] Polymer films refer to non-fibrous flat plastic molded products that are lightweight, have good insulation properties, high transparency, and are relatively inexpensive, making them suitable for many applications such as packaging materials, household goods, electronic devices, automobiles, and aircraft.

[0004] For example, synthetic polymers such as polyethylene (PE), polypropylene (PP), polyvinyl chloride (PVC) and polyethylene terephthalate (PET) are processed into polymer films and are widely used in South Korea and abroad. Currently, many synthetic polymers are used as polymer film materials, either alone or in combination.

[0005] Multilayer film is a composite film in which different types of films are laminated for the purpose of multifunctionality, and various types of multilayer films are used as packaging materials. The multilayer film is formed by a combination of films such as polyethylene (PE) with excellent mechanical properties and cellophane with printable aesthetics, and nylon and ethylene alcohol-ethylene copolymer.

[0006] When developing such multilayer films into materials, it is necessary to predict the physical properties of the entire laminate, such as elastic modulus, shear modulus, and Poisson's ratio.

[0007] When the elastic modulus is referred to as "E", the shear modulus as "G", and Poisson's ratio as "υ", their relationship is as follows:

[0008]

[0009] The material has the property that the lateral deformation (deformation in a direction proportional to the load) and the longitudinal deformation (deformation in the direction of the load) are proportional to each other within the elastic limit, and the ratio of these two deformations has a specific value depending on the material within the elastic limit, and is called Poisson's ratio.

[0010] Furthermore, when the elastic modulus represents the degree of strain that occurs when an elastic material is subjected to stress, and the elastic modulus is called "E", the stress is called "σ", and the strain is called "ε", the relationship between them is as follows.

[0011]

[0012] Meanwhile, since the materials used for multilayer films are anisotropic in the longitudinal direction (MD) and transverse direction (TD) during the manufacturing process, for robust material design, it is necessary not only to receive the uniform stiffness of the entire laminate of the multilayer film, but also to receive only one of the undetermined physical property value and thickness as a range value, and extract the other values ​​through algorithms.

[0013] For example, Korean Unexamined Patent Application Publication No. 2005-0112788 (published on December 1, 2005), entitled "Evaluation of the Effective Stiffness of a Composite Beam and Method for Optimizing its Lamination Angle," discloses a method for evaluating the effective stiffness of a composite beam made by laminating sheets composed of novel materials, comprising: (a) calculating the stiffness of each of the sheets; (b) calculating the stiffness matrix of the entire laminated composite beam; and (c) obtaining the effective stiffness value of the composite beam by applying the stiffness matrix and strain to the resulting stress component formula.

[0014] However, the technology disclosed in Korean Unexamined Patent Application Publication No. 2005-0112788 does not reset the stiffness matrix, so the problem is that the technology is not suitable for the development of multilayer film materials such as those in this invention. Summary of the Invention

[0015] [Technical Issues]

[0016] To address the technical problem of this invention, the present invention aims to provide a system and method for predicting the physical properties of multilayer materials. When developing multilayer materials with laminated structures, the system and method can predict physical properties of the entire laminate, such as elastic modulus, shear modulus, and Poisson's ratio. Furthermore, it can extract not only the homogenized stiffness of the entire laminate of the multilayer material but also the physical property values ​​or thickness of undetermined layers.

[0017] [Technical Solution]

[0018] As an aspect for achieving the above objectives, the present invention provides a system for predicting the physical properties of multilayer materials.

[0019] In one embodiment, the system of the present invention includes: an input unit for inputting (a) any one or more physical properties of each layer other than the undetermined layer, such as elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle and number of set regions, and (b) any one or more physical properties of the elastic modulus and thickness of the undetermined layer;

[0020] The control unit is connected to the input unit and includes a unit for calculating the properties of the entire laminate and a unit for calculating the properties of undetermined layers.

[0021] The display, which is connected to the control unit; and

[0022] The storage unit is connected to the control unit.

[0023] In another aspect for achieving the above objectives, the present invention provides a method for predicting the physical properties of multilayer materials.

[0024] In one embodiment, the method according to the invention for predicting the physical properties of a multilayer material in which two or more materials are laminated includes:

[0025] Input one or more physical properties of each layer except the undetermined layer, including the elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle, and number of set regions, as well as one or more physical properties of the elastic modulus and thickness of the undetermined layer as input values;

[0026] Calculate the physical properties of the multilayer material as a whole laminate using the input physical properties; and

[0027] Determine whether the calculated physical properties converge to the final target physical properties.

[0028] [Beneficial Effects]

[0029] When developing multilayer materials with laminated structures, this invention can predict physical properties of the entire laminate, such as elastic modulus, shear modulus and Poisson's ratio, and can extract not only the homogenized stiffness of the entire laminate of the multilayer material, but also the physical property values ​​or thickness of undetermined layers. Attached Figure Description

[0030] Figure 1 This is a diagram illustrating the configuration of a system for predicting the physical properties of multilayer materials according to a first embodiment of the present invention.

[0031] Figure 2 This is a flowchart of a method for predicting the physical properties of multilayer materials according to a second embodiment of the present invention.

[0032] Figure 3This is a flowchart of a method for predicting the physical properties of multilayer materials according to a third embodiment of the present invention.

[0033] Figure 4 This illustrates the elastic modulus (E) of the undetermined layer according to the present invention. 1,2 A graph showing the correlation between thickness (z) and z. Detailed Implementation

[0034] As one aspect of achieving the above objectives, the present invention provides a system for predicting the physical properties of multilayer materials.

[0035] In one embodiment, the system of the present invention includes: an input unit for inputting (a) any one or more physical properties of each layer other than the undetermined layer, including the elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle, and number of set regions; and (b) any one or more physical properties of the elastic modulus and thickness of the undetermined layer.

[0036] The control unit is connected to the input unit and includes a unit for calculating the properties of the entire laminate and a unit for calculating the properties of undetermined layers.

[0037] The display, which is connected to the control unit; and

[0038] The storage unit is connected to the control unit.

[0039] In an exemplary embodiment, the control unit uses the input physical properties to set a flexibility matrix for the stiffness matrix of the multilayer material as the entire laminate, uses the value of the set flexibility matrix to calculate the physical properties of the multilayer material as the entire laminate, and determines whether the calculated physical properties converge to the final target physical properties.

[0040] In one exemplary implementation

[0041] The system of the present invention includes: an input unit for inputting (a) the elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle and number of set regions for each layer except for the undetermined layer, and (b) any one or more of the elastic modulus and thickness of the undetermined layer;

[0042] The control unit is connected to the input unit and includes a unit for calculating the properties of the entire laminate and a unit for calculating the properties of undetermined layers.

[0043] The display, which is connected to the control unit; and

[0044] The storage unit is connected to the control unit.

[0045] In another exemplary embodiment, for a multilayer material in which two or more materials are laminated, the control unit receives (a) the elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle, and number of set regions for each layer other than the undetermined layer, and (b) any one or more of the elastic modulus and thickness of the undetermined layer.

[0046] Here, the control unit calculates the stiffness matrix of each layer using the elastic modulus, Poisson's ratio, and shear modulus of each layer except for the undetermined layer. The stiffness matrix of each layer is reset by reflecting the lamination angle of each layer in the obtained stiffness matrix. The stiffness matrix of the multilayer material as a whole laminate is calculated using the value of the stiffness matrix reset by receiving the thickness information of each layer. A compliance matrix is ​​set for the calculated stiffness matrix of the multilayer material as a whole laminate, and the elastic modulus ( / E) of the multilayer material as a whole laminate is calculated using the total thickness of the multilayer material as a whole laminate and the value of the set compliance matrix. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y any one or more of ), and

[0047] Determine the elastic modulus ( / E) of the calculated multilayer material. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y Whether any one or more of them converge to the target elastic modulus (target / E) received as the final target physical property x,y ), target Poisson's ratio (target / υ) x,y ) and target shear modulus (target / G x,y Any one or more of them.

[0048] In this invention, only one of the physical property value and thickness of the undetermined layer is input as a range value, and the other values ​​can be extracted using an algorithm. In another example, this invention can simultaneously input the physical property value and thickness of the undetermined layer as range values, and extract or verify values ​​within these ranges. Furthermore, when there are no values ​​that satisfy the range of physical property value and thickness of the undetermined layer, each range value can be fixed, other values ​​can be extracted, and presented to the user.

[0049] In one implementation method

[0050] When selecting and inputting the elastic modulus without ever determining the elastic modulus and thickness of the layers, the calculated elastic modulus of the multilayer material ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,yAny one or more of these do not converge to the target elastic modulus (target / E) received as the final target physical property. x,y ), target Poisson's ratio (target / υ) x,y ) and target shear modulus (target / G x,y When any one or more of the following conditions are met, the control unit can update the elastic modulus value of the undetermined layer.

[0051] In another embodiment,

[0052] When selecting and inputting the thickness without determining the elastic modulus and thickness of the layers, the calculated elastic modulus ( / E) of the multilayer material is... x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y Any one or more of these do not converge to the target elastic modulus (target / E) received as the final target physical property. x,y ), target Poisson's ratio (target / υ) x,y ) and target shear modulus (target / G x,y When any one or more of the following conditions are met, the control unit can update the value of the thickness of the undetermined layer.

[0053] In yet another implementation,

[0054] When calculating the elastic modulus of multilayer materials ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y Any one or more of them converge to the target elastic modulus (target / E) received as the final target physical property. x,y ), target Poisson's ratio (target / υ) x,y ) and target shear modulus (target / G x,y When any one or more of the following are present, the control unit may output any one or more of the elastic modulus, Poisson's ratio, shear modulus, and thickness of the undetermined layer.

[0055] In another embodiment, the control unit can plot the correlation between the elastic modulus and thickness of an undetermined layer in the graph.

[0056] In another aspect of achieving the above objectives, the present invention provides a method for predicting the physical properties of multilayer materials.

[0057] In one implementation method

[0058] The method according to the present invention for predicting the physical properties of multilayer materials in which two or more materials are laminated includes:

[0059] Input one or more physical properties of each layer except the undetermined layer, including the elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle, and number of set regions, as well as one or more physical properties of the elastic modulus and thickness of the undetermined layer as input values;

[0060] Calculate the physical properties of the multilayer material as a whole laminate using the input physical properties; and

[0061] Determine whether the calculated physical properties converge to the final target physical properties.

[0062] In one exemplary embodiment, the method for predicting the physical properties of multilayer materials according to the present invention includes:

[0063] Enter any one or more of the following for each layer, excluding the undetermined layer: elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle, and number of set regions;

[0064] Enter one or more physical properties, such as the elastic modulus and thickness of the undetermined layer;

[0065] Calculate the physical properties of the multilayer material as a whole laminate using the input physical properties; and

[0066] Determine whether the calculated physical properties converge to the final target physical properties.

[0067] In an exemplary embodiment, calculating the physical properties of a multilayer material includes:

[0068] Set the compliance matrix for the stiffness matrix of the multilayer material as the entire laminate; and

[0069] The physical properties of the multilayer material as a whole laminate are calculated using the set flexibility matrix value.

[0070] In one implementation, the inputs as input values ​​include:

[0071] Input the elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle, and number of regions for each layer except the undetermined layer (first step); and

[0072] Enter any one or more of the elastic modulus and thickness of the undetermined layer (second step).

[0073] In another embodiment, calculating the physical properties of multilayer materials includes:

[0074] Calculate the stiffness matrix of each layer except the undetermined layer using the elastic modulus, Poisson's ratio, and shear modulus (third step);

[0075] The stiffness matrix of each layer is reset by reflecting the lamination angle of each layer in the obtained stiffness matrix (step four);

[0076] The stiffness matrix of the multilayer material as a whole laminate is calculated using the value of the stiffness matrix that is reset by receiving the thickness information of each layer (step 5).

[0077] Set the compliance matrix for the calculated stiffness matrix of the multilayer material as the entire laminate (step 6); and

[0078] Using the total thickness of the multilayer material as the entire laminate and the set value of the compliance matrix, calculate the elastic modulus, Poisson's ratio, and shear modulus of the multilayer material as the entire laminate (step 7).

[0079] In yet another implementation, determining whether the calculated property converges to the final target physical property includes:

[0080] Input the elastic modulus, Poisson's ratio, and shear modulus as the final target physical properties (step eight); and

[0081] Determine the calculated elastic modulus ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y Does it converge to the target elastic modulus (target / E) received as the final target physical property? x,y ), target Poisson's ratio (target / υ) x,y ) and target shear modulus (target / G x,y (Ninth step).

[0082] In an exemplary embodiment, in the third step, the elastic modulus (E) can be used. k 1,2 Poisson's ratio (υ) k 1,2 ) and shear modulus (G k 1,2 To calculate the stiffness matrix ([Q]) of each layer (k) in the longitudinal direction (1) and the transverse direction (2). k 1,2 As shown in Equation 1 below.

[0083] [Formula 1]

[0084]

[0085] Q 66 =G 12

[0086] In Equation 1, for isotropic materials, G = E / 2(1+υ).

[0087] In an exemplary embodiment, in the fourth step, the stiffness matrix ([Q]) can be obtained. k 1,2 The lamination angle (θ) of each layer (k) is reflected in the data. k To reset the stiffness matrix ([Q]) of each layer (k). k x , y As shown in Equation 2 below.

[0088] [Equation 2]

[0089]

[0090] In an exemplary embodiment, according to the method of the present invention, in the fifth step, the stiffness matrix ([A]) of the multilayer material as the entire laminate can be calculated using the value of the stiffness matrix reset by receiving the thickness information of each layer (k). x,y [B] x,y [D] x,y As shown in Equation 3 below.

[0091] [Formula 3]

[0092]

[0093] In Equation 3, k represents each layer, and the multilayer material is formed by a total of n layers. For example, n is an integer from 2 to 10.

[0094] In an exemplary embodiment, in the sixth step, the calculated stiffness matrix ([A]) of the multilayer material as the entire laminate can be considered. x,y [B] x,y [D] x,y Set the compliance matrix ([a]) x,y [b] x,y [c] x,y , [d] x,y As shown in Equation 4 below.

[0095] [Formula 4]

[0096]

[0097] In an exemplary embodiment, in the seventh step, the total thickness (h) of the multilayer material as the entire laminate and the set compliance matrix ([a]) can be used. x,y [b] x,y [c] x,y , [d] x,y The value of ) is used to calculate the elastic modulus ( / E) of the multilayer material as the entire laminate. x,y Poisson's ratio ( / υ)x,y ) and shear modulus ( / G x,y As shown in Equation 5 below.

[0098] [Formula 5]

[0099]

[0100] In one embodiment, the method of the present invention further includes updating the value of the elastic modulus of the undetermined layer when, in the case of selecting and inputting the elastic modulus of the undetermined layer, the calculated elastic modulus, Poisson's ratio, and shear modulus do not converge to the elastic modulus, Poisson's ratio, and shear modulus received as the final target physical properties.

[0101] In another embodiment, the method of the present invention further includes updating the value of the thickness of the undetermined layer when, in the case of selecting and inputting a thickness from the elastic modulus and thickness of the undetermined layer, the calculated elastic modulus, Poisson's ratio, and shear modulus do not converge to the elastic modulus, Poisson's ratio, and shear modulus received as the final target physical properties.

[0102] In another embodiment, the method of the present invention further includes outputting the elastic modulus, Poisson's ratio, shear modulus, and thickness of the undetermined layer when the calculated elastic modulus, Poisson's ratio, and shear modulus do not converge to the elastic modulus, Poisson's ratio, and shear modulus received as the final target physical properties.

[0103] In yet another embodiment, the method of the present invention further includes plotting the correlation between the elastic modulus and thickness of an undetermined layer in a graph.

[0104] In the following description, exemplary embodiments of the invention will be described with reference to the accompanying drawings in order to provide a detailed description of the invention for easy implementation by those skilled in the art. Other objects, features, and operational advantages, including the objectives, actions, and effects of the invention, will become more apparent from the description of the exemplary embodiments.

[0105] For reference, the embodiments disclosed herein are presented only by selecting the most typical embodiments from among various possible embodiments to aid those skilled in the art in understanding, and the technical spirit of the invention is not necessarily limited to the presented embodiments. Various changes, additions, and modifications, including equivalents or substitutions, are possible without departing from the technical spirit of the invention.

[0106] Furthermore, the terms or words used in the specification and claims should not be construed as limited to their general or dictionary meanings, and should not be interpreted based on the inventor having appropriately defined the concepts of the terms in order to best interpret the principles of the invention, utilizing the meaning and concepts of the technical concept according to the invention. In one example, unless explicitly indicated otherwise in the context, singular expressions include plural expressions; for ease of description, expressions relating to direction are set based on the positions shown in the drawings; and the expressions “connection” or “proximity” include not only direct connection or proximity, but also connection or proximity through different components between two parts. Additionally, the expression “unit” includes a unit implemented using hardware, a unit implemented using software, or a unit implemented using both hardware and software; and a unit may be implemented using one or more pieces of hardware or software, and two or more units may be implemented using one piece of hardware or software.

[0107] First Implementation Method

[0108] Figure 1 This is a diagram illustrating the configuration of a system for predicting the physical properties of multilayer materials according to a first embodiment of the present invention.

[0109] like Figure 1 As shown, the configuration of the system for predicting the physical properties of multilayer materials according to a first embodiment of the present invention includes: an input unit 10, which is used for inputting by a user the elastic modulus (E) of each layer (k) in the longitudinal direction (1) and the transverse direction (2) of each layer (k) excluding the undetermined layer. k 1,2 ), Poisson's ratio (υ) in the longitudinal direction (1) and the transverse direction (2) of each layer (k) except for the undetermined layer. k 1,2 ), the shear modulus (G) of each layer (k) except for the undetermined layer in the longitudinal direction (1) and the transverse direction (2) in the transverse direction. K 1,2 The thickness (Z) of each layer (k) except for the undetermined layer. k The number of regions (N) and the elastic modulus (E) of the undetermined layers. 1,2 The input unit 10 includes a physical property calculation unit 21 for the entire laminate and a physical property calculation unit 22 for undetermined layers; a display 30 connected to the input unit 20; and a storage unit 40 connected to the input unit 20.

[0110] In this invention, multilayer material refers to a laminate, such as a multilayer film, having a structure in which two or more materials are laminated, for example, a polymer. Multilayer material can also refer to composite materials of different materials, such as fiber-reinforced plastics (FRP) and aluminum bags. For example, multilayer material can refer to a multilayer film.

[0111] Meanwhile, the input unit 10 is used for users to input actual physical property values, but the present invention is not necessarily limited to this. For example, the input unit 10 can access a database (DB) in which information to be input to the input unit 10 is stored.

[0112] Furthermore, the Poisson's ratio (υ) in the longitudinal direction (1) and the transverse direction (2) of each layer (k) k 1,2 In ), υ 1,2 This refers to the Poisson's ratio related to the deformation in the transverse direction (2) when a force is applied to the material in the longitudinal direction (1), and υ 2,1 This refers to the Poisson's ratio related to the deformation in the longitudinal direction (1) when a force is applied to the material in the transverse direction (2). Meanwhile, when the material is isotropic, υ 1,2 =υ 2,1 =υ is possible.

[0113] At the same time, angle (θ) k () can refer to the angle of each layer's counterclockwise direction relative to the x-direction of the multilayer material.

[0114] In addition, the thickness (Z) of each layer (k) k This can refer to information about coordinates starting from the center of the thickness of the entire laminate in a multilayer material.

[0115] The display 30 can provide an input screen in which name input field, thickness input field and angle input field are arranged for each layer, and longitudinal direction (MD) elastic modulus input field, transverse direction (TD) elastic modulus input field, Poisson's ratio input field, coefficient of thermal expansion input field, sample size (length, width) input field, X-axis tensile strength input field, Y-axis tensile strength input field, shear strength input field and temperature change input field are arranged for each layer.

[0116] The display 30 can provide an output screen in which the x-axis elastic modulus, y-axis elastic modulus, Poisson's ratio, shear modulus, bulk modulus, and coefficient of thermal expansion are arranged.

[0117] Second Implementation Method

[0118] Figure 2 This is a flowchart of a method for predicting the physical properties of multilayer materials according to a second embodiment of the present invention.

[0119] like Figure 2 As shown, a method for predicting the physical properties of a multilayer material in which two or more materials are laminated, according to a second embodiment of the present invention, includes:

[0120] Input the elastic modulus (E) of each layer (k) except for the undetermined layer in the longitudinal direction (1) and the transverse direction (2). k 1,2 ), Poisson's ratio (υ) in the longitudinal direction (1) and the transverse direction (2) of each layer (k) except for the undetermined layer. k 1,2 ), the shear modulus (G) of each layer (k) except for the undetermined layer in the longitudinal direction (1) and the transverse direction (2) in the transverse direction. K 1,2 The thickness (Z) of each layer (k) except for the undetermined layer. k ), and set the number of regions (N) (S11),

[0121] Set the variable (i) representing the number of regions to 1 (S12).

[0122] Input the elastic modulus (E) of the undetermined layer 1,2 (S13), and

[0123] Using the elastic modulus (E) k 1,2 Poisson's ratio (υ) k 1,2 ) and shear modulus (G K 1,2 )Calculate the stiffness matrix ([Q]) of each layer (k) in the longitudinal direction (1) and the transverse direction (2). k 1,2 (S14).

[0124] [Formula 1]

[0125]

[0126] Q 66 =G 12

[0127] In Equation 1, for isotropic materials, G = E / 2(1+υ).

[0128] Methods for predicting the physical properties of multilayer materials include calculating the stiffness matrix ([Q]) in the longitudinal direction (1) and transverse direction (2) of each layer (k). k 1,2 Set the compliance matrix ([S]) k 1,2 (S15),

[0129] Input the lamination angle (θ) of each layer in the longitudinal direction (1). k (S16), and

[0130] By obtaining the stiffness matrix ([Q]) k 1,2 The lamination angle (θ) of each layer (k) is reflected in the data. k To reset the stiffness matrix of each layer (k) ([Q]) k x , y As shown in Equation 2 below (S17).

[0131] [Equation 2]

[0132]

[0133] Additionally, input the thickness (Z) of each layer (k). k (S18), and

[0134] The stiffness matrix of the multilayer material as a whole laminate is calculated using the values ​​of the stiffness matrix reset by receiving the thickness information of each layer (k). x,y [B] x,y [D] x,y As shown in Equation 3 (S19).

[0135] [Formula 3]

[0136]

[0137] In Equation 3, k represents each layer, and the multilayer material is formed by a total of n layers. For example, n is an integer from 2 to 10.

[0138] For the calculated stiffness matrix of the multilayer material as the entire laminate ([A]), x,y [B] x,y [D] x,y Set the compliance matrix ([a]) x,y [b] x,y [c] x,y , [d] x,y As shown in Equation 4 below (S20).

[0139] [Formula 4]

[0140]

[0141] Calculate and input the total thickness (h) of the multilayer material as the entire laminate (S21), and

[0142] Using the total thickness (h) of the multilayer material as the entire laminate and the set compliance matrix ([a]) x,y [b] x,y [c] x,y , [d] x,y The value of ) is used to calculate the elastic modulus ( / E) of the multilayer material as the entire laminate. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y As shown in Equation 5 below (S22).

[0143] [Formula 5]

[0144]

[0145] Next, input the elastic modulus ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y As the final target physical property (S23),

[0146] Determine the calculated elastic modulus ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y Does it converge to the elastic modulus ( / E) received as the final target physical property? x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y (S24),

[0147] When the calculated elastic modulus ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y It does not converge to the elastic modulus ( / E) received as the final target physical property. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y When updating the elastic modulus (E) of the undetermined layer. 1,2 The value of ) is determined, and then the process jumps to S13 (S25).

[0148] When the calculated elastic modulus ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y It converges to the elastic modulus ( / E) received as the final objective physical property. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y When outputting the physical property values ​​(elastic modulus (E) of the undetermined layer), the output will be the physical property values ​​of the undetermined layer. 1,2 Poisson's ratio (υ)k x,y ) and shear modulus (G k x,y )) and thickness (Z k (S26),

[0149] Increase the variable (i) of the number of regions by 1 (S27).

[0150] Plot the elastic modulus (E) of the undetermined layer in the figure. 1,2 The correlation between ) and thickness (z) (S28),

[0151] Determine whether the variable (i) for the number of regions is set to the number of regions (N) or less, and if the variable (i) for the number of regions is set to the number of regions (N) or less, jump to S13 (S29), and

[0152] When the variable (i) of the number of regions exceeds the set number of regions (N), the termination operation is performed (S30).

[0153] The elastic modulus (E) of each layer (k) k 1,2 Poisson's ratio (υ) k 1,2 ) and shear modulus (G K 1,2 In the input (S11), typically, the shear modulus (G) of each layer (k) is... K 1,2 Measuring the elastic modulus (E), shear modulus (G), and Poisson's ratio (υ) of the isotropic material is very difficult. Therefore, it is assumed that the layer is an isotropic material, and the control unit 20 uses the relationship between the elastic modulus (E), shear modulus (G), and Poisson's ratio (υ) of the isotropic material (G = E / 2(1+υ)). k 1,2 ) and Poisson's ratio (υ) k 1,2 ) Calculate the shear modulus (G) K 1,2 ).

[0154] Third Implementation Method

[0155] Figure 3 This is a flowchart of a method for predicting the physical properties of multilayer materials according to a third embodiment of the present invention.

[0156] like Figure 3 As shown,

[0157] A method for predicting the physical properties of a multilayer material in which two or more materials are laminated, according to a third embodiment of the present invention, includes:

[0158] Input the elastic modulus (E) of each layer (k) except for the undetermined layer in the longitudinal direction (1) and the transverse direction (2). k 1,2 ), Poisson's ratio (υ) in the longitudinal direction (1) and the transverse direction (2) of each layer (k) except for the undetermined layer. k 1,2 ), the shear modulus (G) of each layer (k) except for the undetermined layer in the longitudinal direction (1) and the transverse direction (2) in the transverse direction. K 1,2 The thickness (Z) of each layer (k) except for the undetermined layer. k ), and set the number of regions (N) (S41),

[0159] Set the variable (i) representing the number of regions to 1 (S42).

[0160] Input the thickness (z) of the undetermined layer (S43), and

[0161] Using the elastic modulus (E) k 1,2 Poisson's ratio (υ) k 1,2 ) and shear modulus (G K 1,2 )Calculate the stiffness matrix ([Q]) of each layer (k) in the longitudinal direction (1) and the transverse direction (2). k 1,2 As shown in Equation 1 below (S44).

[0162] [Formula 1]

[0163]

[0164] Q 66 =G 12

[0165] In Equation 1, for isotropic materials, G = E / 2(1+υ).

[0166] Reset the calculated stiffness matrix ([Q]) of each layer (k) in the longitudinal direction (1) and the transverse direction (2). k 1,2 The flexibility matrix (inverse matrix) of [S] k 1,2 (S45),

[0167] Input the lamination angle (θ) in the longitudinal direction (1) of each layer. k (S46), and

[0168] Perform the process by obtaining the stiffness matrix ([Q)). k 1,2The lamination angle (θ) of each layer (k) is reflected in the data. k To reset the stiffness matrix of each layer (k) ([Q]) k x,y As shown in Equation 2 below (S47).

[0169] [Equation 2]

[0170]

[0171] Input the thickness (Z) of each layer (k) k (S48), and

[0172] The stiffness matrix of the multilayer material as a whole laminate is calculated using the values ​​of the stiffness matrix reset by receiving the thickness information of each layer (k). x,y [B] x,y [D] x,y As shown in Equation 3 below (S49).

[0173] [Formula 3]

[0174]

[0175] In Equation 3, k represents each layer, and the multilayer material is formed by a total of n layers. For example, n is an integer from 2 to 10, and specifically, n is an integer from 3 to 5.

[0176] For the calculated stiffness matrix of the multilayer material as the entire laminate ([A]), x,y [B] x,y [D] x,y Set the compliance matrix ([a]) x,y [b] x,y [c] x,y , [d] x,y As shown in Equation 4 below (S50).

[0177] [Formula 4]

[0178]

[0179] Additionally, calculate the total thickness (h) of the multilayer materials that make up the entire laminate, and input this total thickness (h) (S51), and

[0180] The total thickness (h) of the multilayer material used as the entire laminate and the set compliance matrix ([a]) are determined. x,y [b] x,y [c] x,y , [d] x,y The value of ) is used to calculate the elastic modulus ( / E) of the multilayer material as the entire laminate.x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y As shown in Equation 5 below (S52).

[0181] [Formula 5]

[0182]

[0183] Next, input the elastic modulus ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y As the ultimate target physical property (S53),

[0184] Determine the calculated elastic modulus ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y Does it converge to the elastic modulus ( / E) received as the final target physical property? x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y (S54),

[0185] When the calculated elastic modulus ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y It does not converge to the elastic modulus ( / E) received as the final target physical property. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y When the value of the undetermined layer thickness (z) is updated, the process jumps to S43 (S55).

[0186] When the calculated elastic modulus ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y It converges to the elastic modulus ( / E) received as the final objective physical property. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y When outputting the physical property values ​​(elastic modulus (E) of the undetermined layer), the output will be the physical property values ​​of the undetermined layer. 1,2 Poisson's ratio (υ) k x,y ) and shear modulus (G k x,y And thickness (z)(S56),

[0187] Increase the variable (i) of the number of regions by 1 (S57).

[0188] Plot the elastic modulus (E) of the undetermined layer in the figure. 1,2 The correlation between ) and thickness (z) (S58),

[0189] Determine whether the variable (i) for the number of regions is set to the number of regions (N) or less, and if the variable (i) for the number of regions is set to the number of regions (N) or less, jump to S43 (S59), and

[0190] When the variable (i) of the number of regions exceeds the set number of regions (N), a termination operation is performed (S60).

[0191] The elastic modulus (E) of each layer (k) k 1,2 Poisson's ratio (υ) k 1,2 ) and shear modulus (G K 1,2 In the input (S41), typically, due to the shear modulus (G) of each layer (k), K 1,2 Measuring the elastic modulus (E), shear modulus (G), and Poisson's ratio (υ) of the isotropic material is very difficult. Therefore, it is assumed that the layer is an isotropic material, and the control unit 20 uses the relationship between the elastic modulus (E), shear modulus (G), and Poisson's ratio (υ) of the isotropic material (G = E / 2(1+υ)). k 1,2 ) and Poisson's ratio (υ) k 1,2 ) Calculate the shear modulus (G) K 1,2 ).

[0192] The system and method for predicting the physical properties of multilayer materials, configured as described above according to embodiments of the present invention, function as follows.

[0193] To predict the physical properties of multilayer materials, the user inputs the elastic modulus (E) of each layer (k, k = 1, 2, 3) in the longitudinal direction (1) and the transverse direction (2) while viewing the input screen on the display 30. k 1,2 ), the Poisson's ratio (υ) of each layer (k, k = 1, 2, 3) in the longitudinal direction (1) and the transverse direction (2). k 1,2 ), the shear modulus (G) of each layer (k, k = 1, 2, 3) in the longitudinal direction (1) and the transverse direction (2) K 1,2 ), the thickness of each layer (k) (Z) k And set the number of regions (N) (S11, S41).

[0194] The input screen provided by the display 30 displays name input fields, thickness input fields, angle input fields, longitudinal (MD) modulus of elasticity input fields, transverse (TD) modulus of elasticity input fields, Poisson's ratio input fields, coefficient of thermal expansion input fields, sample size (length, width) input fields, X-axis tension input fields, Y-axis tension input fields, shear force input fields, and temperature change input fields for each layer. The control unit 20 automatically calculates information not shown on the input screen based on the information input through the input unit 10 and stores it in the storage unit 40. For example, when the longitudinal (MD) modulus of elasticity (E) is input for each layer through the input unit 10 and the input screen of the display 30... k 1) Lateral (TD) modulus of elasticity (E) k 2) and Poisson's ratio (υ) k 1,2 When the elastic modulus (E), shear modulus (G), and Poisson's ratio (υ) of isotropic materials are used, the entire laminate physical property calculation unit 21 in the control unit 20 automatically calculates the shear modulus (G) using the relationship between the elastic modulus (E), shear modulus (G), and Poisson's ratio (υ) of isotropic materials. K 1,2 ), and then store it in storage unit 40.

[0195]

[0196] Next, the undetermined layer physical property calculation unit 22 in the control unit 20 sets the variable (i) of the number of regions to 1 (S12, S42).

[0197] Subsequently, the elastic modulus (E) of the undetermined layer is input into the undetermined layer physical property calculation unit 22 in the control unit 20. 1,2 (S13), or input the thickness (z) of the undetermined layer (S43).

[0198] Next, the physical property calculation unit 21 of the entire laminate in the control unit 20 uses the elastic modulus (E) k 1,2 Poisson's ratio (υ) k 1,2 ) and shear modulus (G K 1,2 )Calculate the stiffness matrix ([Q]) of each layer (k) in the longitudinal direction (1) and the transverse direction (2). k 1,2 As shown in Equation 1 below (S14, S44).

[0199] [Formula 1]

[0200]

[0201] Q66 =G 12

[0202] In Equation 1, the relationship of isotropic materials is used (G = E / 2(1+υ)).

[0203] Subsequently, the physical property calculation unit 21 of the entire laminate in the control unit 20 calculates the stiffness matrix ([Q]) of each layer (k) in the longitudinal direction (1) and the transverse direction (2). k 1,2 The inverse matrix of ([S]) k 1,2 ), and set them as flexibility matrices (S15, S45). This is used to transform the stiffness matrix, which is a singular matrix, into an invertible matrix with an inverse matrix.

[0204] Next, the lamination angle (θ) of each layer in the longitudinal direction (1) is input into the physical property calculation unit 21 of the entire laminate in the control unit 20. k (S16, S46).

[0205] Subsequently, the physical property calculation unit 21 of the entire laminate in the control unit 20 calculates the stiffness matrix ([Q]) of each layer (k). k 1,2 The lamination angle (θ) of multilayer materials is reflected in the data. k To reset the stiffness matrix ([Q]) of each layer (k) in the x or y direction. k x , y As shown in Equation 2 below (S17, S47).

[0206] [Equation 2]

[0207]

[0208] Subsequently, the thickness (Z) of each layer (k) is input into the physical property calculation unit 21 of the entire laminate in the control unit 20. k (S18, S48).

[0209] Next, the overall laminate physical property calculation unit 21 in the control unit 20 uses the value of the stiffness matrix, which is reset by receiving the thickness information of each layer (k), to calculate the stiffness matrix ([A]) of the multilayer material as the entire laminate. x,y [B] x,y [D] x,y As shown in Equation 3 below (S19, S49).

[0210] [Formula 3]

[0211]

[0212] In Equation 3, k represents each layer, and the multilayer material is formed by a total of n layers. For example, n is an integer from 2 to 10.

[0213] Subsequently, the physical property calculation unit 21 of the entire laminate in the control unit 20 calculates the stiffness matrix ([A]) of the multilayer materials of the entire laminate. x,y [B] x,y [D] x,y Set the compliance matrix ([a]) x,y [b] x,y [c] x,y , [d] x,y As shown in Equation 4 below (S20, S40).

[0214] [Formula 4]

[0215]

[0216] Next, the total thickness (h) of the multilayer material as the whole laminate is calculated based on the thickness information of each layer (k) and input into the physical property calculation unit 21 of the whole laminate in the control unit 20 (S21, S51).

[0217] Subsequently, the physical property calculation unit 21 of the entire laminate in the control unit 20 uses the total thickness (h) of the multilayer material of the entire laminate and the set compliance matrix ([a]). x,y [b] x,y [c] x,y , [d] x,y The value of ) is used to calculate the elastic modulus ( / E) of the multilayer material as the entire laminate. x,y ), shear modulus ( / G) x,y ) and Poisson's ratio ( / υ) x,y As shown in Equation 5 below (S22, S52).

[0218] [Formula 5]

[0219]

[0220] Next, while viewing the input screen of display 30, the user inputs the elastic modulus ( / E) using input unit 10. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y As the final target physical property, the undetermined layer physical property calculation unit 22 in the control unit 20 reads the elastic modulus ( / E) as the final target physical property. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y(S23, S53).

[0221] Subsequently, the undetermined layer physical property calculation unit 22 in the control unit 20 determines the calculated elastic modulus ( / E). x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y Does it converge to the elastic modulus ( / E) received as the final target physical property? x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y (S24, S54).

[0222] When the calculated elastic modulus ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y It does not converge to the elastic modulus ( / E) received as the final target physical property. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y )hour,

[0223] (i) When selecting and inputting the elastic modulus in terms of the elastic modulus and thickness of the undetermined layer, the undetermined layer physical property calculation unit 22 in the control unit 20 updates the elastic modulus (E) of the undetermined layer. 1,2 The value of ) is obtained and the process is repeated to S13 (S25).

[0224] (ii) If the thickness is selected and entered when the elastic modulus or thickness of the undetermined layer is not determined, the undetermined layer physical property calculation unit 22 in the control unit 20 updates the value of the thickness (z) of the undetermined layer and jumps to S43 (S55) to repeat the process.

[0225] In contrast, when calculating the elastic modulus ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y It converges to the elastic modulus ( / E) received as the final objective physical property. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y When the undetermined layer physical property calculation unit 22 in the control unit 20 outputs the physical property value of the undetermined layer (elastic modulus (E)). 1,2 Poisson's ratio (υ) k x,y ) and shear modulus (G k x,y )) and thickness (Z k (S26, S56).

[0226] Next, the undetermined layer physical property calculation unit 22 in the control unit 20 increases the variable (i) of the number of regions by 1 (S27, S57), and then plots the elastic modulus (E) of the undetermined layer in the figure. 1,2 The correlation between thickness (z) and thickness (z) (S28, S58). Figure 4 This illustrates the elastic modulus (E) of the undetermined layer according to the present invention. 1,2 A graph showing the correlation between thickness (z) and z.

[0227] Subsequently, the undetermined layer physical property calculation unit 22 in the control unit 20 determines whether the variable (i) of the number of regions is the set number of regions (N) or less, and if the variable is the set number of regions (N) or less, it jumps to S13 or S43 and repeats the above process until the variable (i) of the number of regions exceeds the set number of regions (N) (S29, S59).

[0228] If the variable (i) of the number of regions is higher than the set number of regions (N), the control unit 10 ends the operation (S30, S60).

[0229] Fourth Implementation Method

[0230] In one embodiment of the invention, when the values ​​input to the input unit are not immediately obtained, they can be derived by using conversion processes of other physical property values.

[0231] The elastic modulus (E) of each layer (k) is input. k ) and the Poisson ratio (υ) of each layer (k) k In the processing of ), Lame's first parameter (λ) can be used. k ), shear modulus (G) k ) and bulk modulus of elasticity (K k These values ​​can be calculated using one or more physical property values. For example, these values ​​can be converted into the elastic modulus (E) using the following formulas 1 through 9. k ) and Poisson's ratio (υ) k ).

[0232] When the available combination is (λ) k G k When ), it is represented by the following formula 1.

[0233] [Formula 1]

[0234]

[0235] When the available combination is (λ) k E kWhen ), it is represented by the following formula 2.

[0236] [Formula 2]

[0237]

[0238] When the available combination is (λ) k υ k When ), it is represented by the following formula 3.

[0239] [Formula 3]

[0240]

[0241] When the available combination is (λ) k K k When ), it is represented by the following formula 4.

[0242] [Formula 4]

[0243]

[0244] When the available combination is (G) k E k When ), it is represented by the following formula 5.

[0245] [Formula 5]

[0246]

[0247] When the available combination is (G) k υ k When ), it is represented by the following formula 6.

[0248] [Formula 6]

[0249] E k =2G k (1+v k ), v k

[0250] When the available combination is (G) k K k When ), it is represented by the following formula 7.

[0251] [Formula 7]

[0252]

[0253] When the available combinations are (K) k E k When ), it is represented by the following formula 8.

[0254] [Formula 8]

[0255]

[0256] When the available combinations are (K) k υ k When ), it is represented by the following formula 9.

[0257] [Formula 9]

[0258] E k =3K k (1-2v k ), v k

[0259] Formulas 1 through 9 above are examples, and two or more formulas can be combined as needed.

[0260] [Explanation of reference numerals in the attached figures]

[0261] 10: Input Unit

[0262] 20: Control Unit

[0263] 21: Calculation unit for physical properties of the entire laminate

[0264] 22: Calculation unit for physical properties of undetermined layers

[0265] 30: Monitor

[0266] 40: Storage unit

Claims

1. A system for predicting the physical properties of multilayer materials, comprising: An input unit is used to input (a) any one or more physical properties of each layer other than the undetermined layer, including the elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle, and number of set regions, and (b) any one or more physical properties of the elastic modulus and thickness of the undetermined layer. A control unit, which is connected to the input unit, and includes a whole laminate property calculation unit and an undetermined layer property calculation unit; A display, which is connected to the control unit; as well as Storage unit, which is connected to the control unit, Wherein, for the multilayer material in which two or more materials are laminated, the control unit: Receive (a) the elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle, and number of set regions for each layer other than the undetermined layer, and (b) any one or more of the elastic modulus and thickness of the undetermined layer. The stiffness matrix of each layer is calculated using the elastic modulus, Poisson's ratio, and shear modulus of each layer except the undetermined layer. The stiffness matrix of each layer is reset by reflecting the lamination angle of each layer in the obtained stiffness matrix. The stiffness matrix of the multilayer material as a whole laminate is calculated using the value of the stiffness matrix reset by receiving the thickness information of each layer. A compliance matrix is ​​set for the calculated stiffness matrix of the multilayer material as a whole laminate, and the elastic modulus ( / E) of the multilayer material as a whole laminate is calculated using the total thickness of the multilayer material as a whole laminate and the value of the set compliance matrix. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y any one or more of ), and Determine the calculated elastic modulus ( / E) of the multilayer material. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y Whether any one or more of them converge to the target elastic modulus (target / E) received as the final target physical property x,y ), target Poisson's ratio (target / υ) x,y ) and target shear modulus (target / G x,y Any one or more of them.

2. The system according to claim 1, wherein, The input unit is used to input: (a) The elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle, and number of areas for each layer except for the undetermined layers, and (b) any one or more of the elastic modulus and thickness of the undetermined layer.

3. The system according to claim 1, wherein, When selecting the elastic modulus from the elastic modulus and thickness of the undetermined layer and inputting the elastic modulus. When the calculated elastic modulus of the multilayer material ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y Any one or more of these do not converge to the target elastic modulus (target / E) received as the final target physical property. x,y ), target Poisson's ratio (target / υ) x,y ) and target shear modulus (target / G x,y When any one or more of ) The control unit updates the value of the elastic modulus of the undetermined layer.

4. The system according to claim 1, wherein, When the thickness is selected from the elastic modulus and thickness of the undetermined layer and the thickness is entered, When the calculated elastic modulus of the multilayer material ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y Any one or more of these do not converge to the target elastic modulus (target / E) received as the final target physical property. x,y ), target Poisson's ratio (target / υ) x,y ) and target shear modulus (target / G x,y When any one or more of ) The control unit updates the thickness value of the undetermined layer.

5. The system according to claim 1, wherein, When the calculated elastic modulus of the multilayer material ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y Any one or more of them converge to the target elastic modulus (target / E) received as the final target physical property. x,y ), target Poisson's ratio (target / υ) x,y ) and target shear modulus (target / G x,y When any one or more of ) The control unit outputs any one or more of the elastic modulus, Poisson's ratio, shear modulus, and thickness of the undetermined layer.

6. A method for predicting the physical properties of a multilayer material in which two or more materials are laminated, comprising: Input one or more physical properties of each layer other than the undetermined layer, including the elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle, and number of set regions, as well as one or more physical properties of the elastic modulus and thickness of the undetermined layer as input values; The physical properties of the multilayer material as a whole laminate are calculated using the input physical properties. as well as Determine whether the calculated physical properties converge to the final target physical property. The calculation of the physical properties of the multilayer material includes: The stiffness matrix of each layer, except for the undetermined layer, is calculated using the elastic modulus, Poisson's ratio, and shear modulus. The stiffness matrix of each layer is reset by reflecting the lamination angle of each layer in the obtained stiffness matrix; The stiffness matrix of the multilayer material as a whole laminate is calculated using the value of the stiffness matrix, which is reset by receiving the thickness information of each layer. A compliance matrix is ​​set for the calculated stiffness matrix of the multilayer material as the entire laminate; and The elastic modulus, Poisson's ratio, and shear modulus of the multilayer material as a whole laminate are calculated using the total thickness of the multilayer material as a whole laminate and the value of the set compliance matrix.

7. The method according to claim 6, wherein, The inputs that serve as input values ​​include: Input the elastic modulus, Poisson's ratio, shear modulus, thickness, lamination angle, and number of regions for each layer except the undetermined layer; and Enter any one or more of the elastic modulus and thickness of the undetermined layer.

8. The method according to claim 6, wherein, Determining whether the calculated property converges to the final target physical property includes: Input the elastic modulus, Poisson's ratio, and shear modulus as the final target physical properties; and Determine the calculated elastic modulus ( / E) x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y Does it converge to the target elastic modulus (target / E) that is used as the input for the final target physical property? x,y ), target Poisson's ratio (target / υ) x,y ) and target shear modulus (target / G x,y ).

9. The method according to claim 6, wherein, The stiffness matrix for each layer is calculated as follows: According to Equation 1 below, using the elastic modulus (E) k 1,2 Poisson's ratio (υ) k 1,2 ) and shear modulus (G k 1,2 To calculate the stiffness matrix ([Q]) of each layer (k) in the longitudinal direction (1) and the transverse direction (2). k 1,2 ): Formula 1 Q 66 =G 12 In Equation 1, for isotropic materials, G = E / 2(1+υ).

10. The method according to claim 6, wherein, The stiffness matrix of each layer is reset as follows: Based on Equation 2 below, through the obtained stiffness matrix ([Q) k 1,2 The lamination angle (θ) in the figure reflects the lamination angle of each layer (k). k To reset the stiffness matrix of each layer (k) ([Q]) k x,y ): Formula 2 11. The method according to claim 6, wherein, The stiffness matrix of the multilayer material is calculated as follows: According to Equation 3 below, the thickness (Z) of each layer (k) is used. k The stiffness matrix of the multilayer material as a whole laminate is calculated by resetting the value of the stiffness matrix based on the information. x,y [B] x,y [D] x,y ): Formula 3 In Equation 3, k represents each layer, and the multilayer material is formed from a total of n layers.

12. The method according to claim 6, wherein, The flexibility matrix is ​​set as follows: According to Equation 4 below, the calculated stiffness matrix of the multilayer material as a whole laminate ([A]) is... x,y [B] x,y [D] x,y Set the compliance matrix ([a]) x,y [b] x,y [c] x,y , [d] x,y ): Formula 4 13. The method according to claim 6, wherein, The elastic modulus, Poisson's ratio, and shear modulus of the multilayer material are calculated as follows: Based on Equation 5 below, using the total thickness (h) of the multilayer material as the entire laminate and the set compliance matrix ([a]), x,y [b] x,y [c] x,y , [d] x,y The value of ) is used to calculate the elastic modulus ( / E) of the multilayer material as the entire laminate. x,y Poisson's ratio ( / υ) x,y ) and shear modulus ( / G x,y ): Formula 5

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