Constitutive modeling of porous hyperelastic materials
Constitutive modeling of porous hyperelastic materials
复制标题
DOI：
10.1016/s0167-6636(03)00064-4
复制
发表时间：
2004-04-01
影响因子：
3.9
通讯作者：
Boyce, MC
中科院分区：
文献类型：
--
作者：
Danielsson, M;Parks, DM;Boyce, MC
提出了一个多孔超弹性材料大应变变形连续本构模型的细观力学框架。一个运动学允许的变形场假设，使多孔材料的应变能密度函数的推导。应变能密度函数依赖于不可压缩超弹性基体材料的性质、初始孔隙度和宏观变形。应变能密度函数关于变形的微分提供了多孔超弹性材料的应力-应变行为的表达式。示例计算进行，多孔超弹性材料与新胡克矩阵。本构模型用于预测含孔基质的应力-应变行为，作为初始孔隙率和宏观载荷条件的函数。预测的小应变弹性响应对孔隙度的依赖性相比，在文献中发现的多孔材料的有效弹性模量的各种估计。本构模型预测的小到大的应变变形行为比较以及从数值三维微观力学多空隙单元模型的结果。(C)2003爱思唯尔有限公司。保留所有权利。
A micromechanics framework for the development of continuum-level constitutive models for the large-strain deformation of porous hyperelastic materials is presented. A kinematically admissible deformation field is assumed which enables the derivation of a strain energy density function for the porous material. The strain energy density function depends on the properties of the incompressible hyperelastic matrix material, the initial level of porosity, and the macroscopic deformation. Differentiation of the strain energy density function, with respect to deformation, provides an expression for the stress-strain behavior of the porous hyperelastic material. Example calculations are carried, out for porous hyperelastic materials with a Neo-Hookean matrix. The constitutive model is used to predict the stress-strain behavior of the pore-containing matrix as a function of initial porosity and macroscopic loading conditions. Predictions of the dependence of the small-strain elastic response on porosity are compared to various estimates of effective elastic moduli for porous materials found in the literature. Constitutive model predictions of the small to large-strain deformation behavior compare well with results from numerical three-dimensional micromechanical multi-void cell models. (C) 2003 Elsevier Ltd. All rights reserved.