Isotropy incompressible hyperelastic body constitutive model and application thereof

An isotropic and constitutive model technology, applied in the fields of engineering and scientific applications, can solve the problems of low fitting accuracy and unreliability of the model, save the cost of multi-axis testing of materials, high reliability, high engineering application value and Effects of Computational Mechanics Using Prospects

Active Publication Date: 2017-06-09
ANHUI UNIVERSITY OF TECHNOLOGY
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0006] In order to solve the problems in the above-mentioned prior art, the present invention proposes a constitutive model of an isotropic incompressible hyperelastic body and its application. The model proposed by the present invention can not only fit all experimental curves well, but also only use One type of material experiment can obtain more accurate and reliable material mechanical properties in any state, which can effectively solve the difficulties in plane tension and equibiaxial tension experiments of rubber materials in engineering practice, and the low fitting accuracy of existing models , unreliable problem

Method used

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  • Isotropy incompressible hyperelastic body constitutive model and application thereof
  • Isotropy incompressible hyperelastic body constitutive model and application thereof
  • Isotropy incompressible hyperelastic body constitutive model and application thereof

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Embodiment 1

[0030] This embodiment proposes a relationship model between the stress-elongation function and the plane tensile stress-elongation function in any plane deformation state. Through this relationship model, the constitutive relationship of rubber-like incompressible hyperelastic materials can be directly established and identified Model parameters, specifically in the following form:

[0031]

[0032] In the formula, T i In any triaxial stress state (λ i ,λ j ,λ k ) under λ i Nominal stress in direction; T i (λ i ,λ j ) means that in the plane stress state (λ i ,λ j ,1 / λ i λ j ) under λ i Nominal stress in direction (force / initial area); λ i ,λ j ,λ k are the principal elongation (λ i ,λ j In the state of plane stress, it is the first and second principal elongation), the subscripts i, j, k are an arrangement of numbers 1, 2, and 3; k is a material parameter to be identified, in general, it can be set which is equal to 0, at the elongation λ j When it is gr...

Embodiment 2

[0056] The incompressible hyperelastic constitutive model of this embodiment is basically the same as that of Embodiment 1, and the specific process of using the constitutive model of this embodiment for parameter identification is as follows:

[0057] 1) Perform all three types of material experiments to obtain nominal stress-elongation curves during the experiment, such as figure 2 The uniaxial tensile curves and planar tensile curves shown in ;

[0058] 2) Substituting into the model of formula (1) to directly fit all parameters;

[0059] 3) The complete constitutive model of the material is obtained from formula (1) and formula (2), especially it can be used as the hyperelastic model part of the visco-hyperelastic model.

Embodiment 3

[0061] In this embodiment, the models of formula (1), formula (2), formula (3) and formula (4) are embedded in analysis software such as finite element, or go in other material mechanical property analysis calculation software:

[0062] 1) Construct T using polynomials or other functional formulas uniaxial (λ) or T planar (λ) or T biaxial function of (λ);

[0063] 2) based on the corresponding experimental data, fitting the parameters of the model;

[0064] 3) Use the models of formula (1), formula (2), formula (3) and formula (4) to construct the material constitutive relation similar to formula (1).

[0065] 4) Use this constitutive relation to carry out numerical simulation and stress analysis.

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Abstract

The invention discloses an isotropy incompressible hyperelastic body constitutive model and application thereof, and belongs to the technical field of solid mechanics, computational mechanics, and experimental mechanics. According to the constitutive model, a precise model with a rubber type incompressible hyperelastic material can be obtained by merely adopting single type experimental data, the precision and reliability of the obtained model are higher than any existing model, a precise and comprehensive rubber material characteristic model can be obtained by merely conducting a simple uniaxial tension experiment test, a current equal biaxial tension and plane tension test which is hard to conduct in our country does not need to be adopted, and thus the isotropy incompressible hyperelastic body constitutive model has an extremely high computational mechanics use prospect and high engineering application value.

Description

technical field [0001] The invention relates to the description and modeling of the mechanical properties of various rubber materials and biological tissue materials in engineering and scientific research, as well as the engineering and scientific applications based on this, especially the related fields of computational mechanics and experimental mechanics. Background technique [0002] Materials such as rubber, muscles, and ligaments can be described by incompressible hyperelastic models. It is a major issue in engineering and scientific research to establish a constitutive model that can fully describe the mechanics of such materials. Although the invariant model based on strain, the model based on three principal elongations, and the model based on molecular chains have been proposed, the above-mentioned rubber and biological tissue materials lack a complete and concise model, which is specifically manifested in: or The description ability of the existing models is not e...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20G06F30/23G06F2119/06
Inventor 魏志刚王孝义
Owner ANHUI UNIVERSITY OF TECHNOLOGY
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