Method for predicting periodic porous material equivalent shear modulus

A technology of shear modulus and porous materials, which is applied in the direction of testing the strength of materials by applying a stable shear force, and can solve the problem of predicting the equivalent shear modulus of materials that cannot reflect changes in cell size

Inactive Publication Date: 2010-06-09
NORTHWESTERN POLYTECHNICAL UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] In order to overcome the deficiency that the equivalent shear modulus of materials predicted by the prior art method cannot reflect the change in cell size, the present invention provides a method for predicting the equivalent shear modulus of periodic porous materials, through the equivalent method of torsional strain energy , which can accurately reflect the effect of cell size changes on the mechanical properties of the unit cell when predicting the equivalent shear modulus of periodic porous materials

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  • Method for predicting periodic porous material equivalent shear modulus
  • Method for predicting periodic porous material equivalent shear modulus
  • Method for predicting periodic porous material equivalent shear modulus

Examples

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Embodiment 1

[0024] Example 1: Equivalent shear modulus of rectangular hole unit cell.

[0025] 1) Establish a periodic rectangular hole porous cylinder structure, the parameters of which are the length of the cylinder L=240, the outer diameter of the cylinder R=40, and the inner diameter r=20. The period of a single rectangular hole cylinder microstructure unit cell in the circumferential direction is The volume ratio of the rectangular hole is υ=0.4, and the span of the rectangular hole in the circumferential direction is φ=π / 6. The physical material properties are: Young's modulus E=70e9, Poisson's ratio v=0.34, shear modulus G=2.6119e10, density ρ=2774; set the scale scaling factor n=1 at this time.

[0026] 2) Perform torsion loading on the periodic rectangular hole porous cylindrical structure, according to the periodicity of the structure along the circumferential direction, a single cycle Bending strain energy for:

[0027]

[0028] Where G s (θ)=G, I P (θ) is

[0029] I p ( ...

Embodiment 2

[0049] Example 2: Equivalent shear modulus of round hole unit cell.

[0050] 1) Establish a periodic circular hole porous cylinder structure, the parameters of which are the length of the cylinder L=240, the outer diameter of the cylinder R=40, and the inner diameter r=20. Period is The volume ratio of the circular hole is υ=0.25. The physical material properties are: Young's modulus E=70e9, Poisson's ratio v=0.34, shear modulus G=2.6119e10, density ρ=2774; set the scale scaling factor n=1 at this time.

[0051] 2) Perform torsion loading on the periodic circular hole porous cylindrical structure, according to the periodicity of the structure along the circumferential direction, a single period Bending strain energy for:

[0052]

[0053] Where G s (θ)=G, I P (θ) is

[0054] I P ( θ ) = π 2 ( R 4 - r 4 ) - 8 [ π 2 ( r cm ) 4 + π ( r cm ) 4 ( R + r 2 ) 2 ]

[0055] ...

Embodiment 3

[0073] Example 3: The equivalent shear modulus of the triangular support unit cell.

[0074] 1) Establish a periodic triangular supporting cylinder structure, the parameters of which are the length of the cylinder L=240, the outer diameter of the cylinder R=40, and the inner diameter r=20. The period of a single triangular supporting cylinder microstructure unit cell in the circumferential direction is The thickness of the outer wall of the triangular support cylinder microstructure unit cell is t o =4, the wall thickness of the sandwich layer is t c =4, the inner wall thickness is t i = 4. The physical material properties are: Young's modulus E=70e9, Poisson's ratio v=0.34, shear modulus G=2.6119e10, density ρ=2774; set the scale scaling factor n=1 at this time.

[0075] 2) Perform torsion loading on the periodic triangular support cylinder structure, according to the periodicity of the structure along the circumferential direction, a single cycle Bending strain energy for:

[00...

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Abstract

The invention discloses a method for predicting periodic porous material equivalent shear modulus. The method includes a physical model of periodic porous twisted barrel structure is established and twisting loading is carried out on the physical model of the periodic porous twisted barrel structure. As twisting stress energy equivalent method is adopted, the problem that dimensional effect of periodic porous material equivalent shear modulus changed along with dimension of microstructure can not be reflected when predicting periodic porous material equivalent shear modulus in the prior art is solved, analytic function relation between the periodic porous material equivalent shear modulus and dimension scaling factor n is provided, and the dimensional effect that the periodic porous material shear modulus is changed along with the dimension scaling factor n of microstructure is really reflected.

Description

Technical field [0001] The invention relates to a method for predicting the equivalent shear modulus of a material, in particular to a method for predicting the equivalent shear modulus of a periodic porous material. Background technique [0002] Literature 1 "Composite Materials Encyclopedia. Woding Zhu et al. Beijing: Chemical Industry Press, 2000." discloses a method for predicting the macroscopic properties of single-layer composite materials. This method establishes a mathematical description relationship between the equivalent performance of the material at the macro scale and the microstructure configuration at the material scale, the mechanical properties of the component materials, and the material volume ratio. However, the equivalent mechanical properties calculated by this method only depend on the volume fraction and elastic modulus of different material phases, and have nothing to do with the size of the somatic cell, which cannot reflect the influence of the size o...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01N3/24
Inventor 张卫红戴高明张进
Owner NORTHWESTERN POLYTECHNICAL UNIV
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