THE CONSTITUTIVE LAW OF NONLINEAR VISCOUS AND POROUS MATERIALS
THE CONSTITUTIVE LAW OF NONLINEAR VISCOUS AND POROUS MATERIALS
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DOI：
10.1016/0022-5096(92)90004-l
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发表时间：
1992-05-01
影响因子：
5.3
通讯作者：
SUQUET, P
中科院分区：
文献类型：
--
作者：
MICHEL, JC;SUQUET, P
本文借助微观力学研究了含有空隙的非线性粘性材料的整体行为。作为对此处导出的变分界限以及最近文献中提出的几个模型的补充，我们导出了一个简单的模型，该模型完全满足静水张力下空心球的封闭形式解。更一般地，当球体的构成材料已经是多孔的时，我们考虑静水张力下的空心球体的问题。该解决方案采用自洽格式和微分格式，导出包含不同尺寸分布微孔群的多孔材料的本构定律。与基于单一尺寸孔隙的模型相比，这些方案预测相同孔隙率的损伤效应更高。本文考虑的所有模型都利用了应变率势，并且大多数模型都采用简单的“二次”形式。
THIS PAPER examines with the help of micromechanics the overall behaviour of nonlinear viscous materials containing voids. In complement to variational bounds derived here and to several models proposed in the recent literature we derive a simple model which meets exactly a closed-form solution of a hollow sphere under hydrostatic tension. More generally we consider the problem of a hollow sphere under hydrostatic tension when the constitutive material of the sphere is already porous. The solution is used in a self-consistent scheme and a differential scheme to derive a constitutive law for a porous material containing different populations of micro-voids with distributed sizes. These schemes predict a higher damage effect for the same porosity than the models based on a single size of voids. All the models considered in this paper make use of a strain-rate potential and most of them assumme a simple "quadratic" form for it.