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Elastic constitutive model suitable for rubber materials, and application thereof

A constitutive model and elasticity technology, applied in the fields of engineering and scientific applications, can solve the problems of less parameters, inconvenient application, and many model parameters, and achieve the effect of good reliability and convenient engineering application.

Inactive Publication Date: 2018-03-06
ANHUI UNIVERSITY OF TECHNOLOGY
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Chinese patent application number 201710045691.0, patent name: an isotropic incompressible hyperelastic constitutive model and its application; it is an invention patent applied by the applicant on January 22, 2017, which discloses a The constitutive model of isotropic incompressible hyperelastic body, the constitutive model disclosed in this application has good application ability and reliability, but there are many model parameters, which is relatively inconvenient in application. The constitutive model is a new constitutive model that uses fewer parameters to achieve accuracy and reliability similar to this model

Method used

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  • Elastic constitutive model suitable for rubber materials, and application thereof
  • Elastic constitutive model suitable for rubber materials, and application thereof
  • Elastic constitutive model suitable for rubber materials, and application thereof

Examples

Experimental program
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Effect test

Embodiment 1

[0035] 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:

[0036]

[0037] In the formula, T i In any triaxial stress state (λ i ,λ j ,λ k ) under λ i Nominal stress in the direction (any direction of the two directions with larger elongation); λ i ,λ j is the main elongation of the two larger values ​​among the three main elongations; T planar Expressed as a function of the nominal stress determined by planar tension experiments as a function of the sum of principal elongations in the same direction as the stress.

[0038] Equation (1) is the most general form of the constitutive model proposed in this example, which describes the constitutive...

Embodiment 2

[0054] The 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 to identify parameters is as follows:

[0055] 1) Perform all three types of material experiments to obtain nominal stress-elongation curves during the experiment, such as image 3 The uniaxial tensile curves and planar tensile curves shown in ;

[0056] 2) Substituting into the model of formula (1) to directly fit all parameters;

[0057] 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

[0059] 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:

[0060] 2) based on the corresponding experimental data, fitting the parameters of the model;

[0061] 3) Use the models of formula (1), formula (2), formula (3) and formula (4) to construct the material constitutive relation similar to formula (1).

[0062] 4) Use this constitutive relation to carry out numerical simulation and stress analysis.

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Abstract

The invention discloses an elastic constitutive model suitable for rubber materials, and application thereof, and belongs to the technical field of solid mechanics, computational mechanics and experimental mechanics. The constitutive model which is put forward can adopt a single type of experiment data to obtain an accurate model of rubber incompressible hyperelastic materials. Compared with an existing model, the elastic constitutive model is high in accuracy and reliability and can obtain the accurate and comprehensive rubber material characteristic model only by a simple uniaxial elongationexperiment test, an equal biaxial drawing and plane drawing test which is difficult to be carried out in China at present does not need to be adopted, and the model has an extremely high engineeringapplication value and a computational mechanics use scene.

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): G06F17/50G01N33/44
CPCG01N33/445G06F30/20G06F30/23G06F2119/06
Inventor 魏志刚
Owner ANHUI UNIVERSITY OF TECHNOLOGY
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