A Computational Method for Predicting the Elastic Behavior of Compressible-Incompressible Composites

Abstract

The invention discloses a calculation method for predicting the elastic behavior of a compressible-incompressible composite material, which belongs to the field of composite material calculation, and includes: step 1, marking unit material properties and assigning unit variables to be solved; step 2, obtaining compressible ‑Discrete format of the elastic equation of incompressible bilayer composites; step 3, to obtain the element center stress. The present invention can avoid the shear self-locking that occurs when FEM solves the problem of incompressible materials and the false stress concentration problem that occurs when solving composite materials, and can realize the elastic behavior prediction of incompressible-compressible double-layer composite materials, and the elastic distribution of different material domains It can be passed directly without iterative calculation, the calculation result is stable, the program is simple to implement, and it can be directly solved for functional incompressible-compressible materials.

Description

A computational method for predicting elastic behavior of compressible-incompressible composites technical field The present invention relates to composite material calculation field, more specifically, relate to a kind of prediction compressible-incompressible composite material Calculation method for elastic behavior. Background technique [0002] With the increasing use of rubber-like materials (polymers, living tissue, functional materials) in the engineering and biomedical fields development, and incompressible materials may exhibit very different mechanical properties than compressible materials, the incompressible material line The study of elasticity problem has become a hot issue concerned by scholars from all walks of life. Incompressible means that an object is under any state of stress The volume of is kept constant (isovolumetric deformation). For isotropic incompressible elastomers with finite modulus, the Poisson's ratio ν, etc. Below 0.5, the elasti...

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Problems solved by technology

[0003] At present, the research on the linear elasticity of incompressible materials mostly uses analytical methods, finite element (FEM), and lattice-type / lattice-type finite volume methods (CC-FVM / CV-FVM) for calculation, mainly for isotropic homogeneous The existing problems of mass / functional gradient incompressible materials mainly include: 1. When FEM calculates the elastic problems of composite materials or incompressible materials, there will be non-physical oscillation of the stress along the thickness direction near the material interface or the self-locking problem of unit shear ;2. The analytical method is only suitable for simple structure distribution and material distribution, and the real material structure cannot be calculated; 3. When CC-FVM calculates the elastic problem of composite materials, false stress jumps appear at the material interface

Compared with the above methods, CV-FEM shows better calculation performance in calculating functional materials and compressible materials, which can effectively avoid false stress and shear self-locking phenomenon. However, this method is currently suitable for calculating compressible or compressible materials. Elasticity problems with incompressible material distributions cannot yet be calculated for elastic problems with compressible-incompressible (or compressible-nearly incompressible) bilayer composite structures (see figure 1 )

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