颗粒/纳米复合材料细观损伤及本构关系分析

Micro-Damage and Constitutive Relation Analysis of Particulate-Reinforced Composites

摘要: 本文得到了带有弱化表面的颗粒增强复合材料的本构模型，其可以描述颗粒的脱黏破坏以及基体的塑性和颗粒对复合材料损伤的影响。此损伤模型是基于Eshelby等效夹杂方法和自洽方法，假设基体、完整颗粒和带有弱化表面的颗粒都属于复合材料的夹杂体，根据Eshelby细观力学的方法，通过数值计算估算出三相颗粒增强复合材料的有效弹性模量。得出在复合材料损伤过程中，颗粒体积分数变化对颗粒复合材料有效刚度的影响，并且通过分析计算说明颗粒的体积分数与尺寸对复合材料应力–应变关系的影响。

Abstract: This paper deals with a constitutive model of particulate-reinforced composites (PRCs) with weakened interfaces, which can describe the evolution of debonding damage, matrix plasticity and particle effects on deformation and damage. This damage model is based on the Eshelby’s equivalent inclusion method and self-consistent method. It is assumed that the intact particle, the particle with a weakened interface and matrix are all inclusions of composites. According to the Eshelby’s micromechanics method, the effective elastic modulus of three-phase composites is estimated through a numerical calculation. The influence of particle volume fraction change on the effective stiffness of particle composites can be predicted during the material damage process. This article also illustrates the influences of particle volume fraction and size on the stress-strain relation of composites.