关于非线性基体中Eshelby等效夹杂方法适用性的讨论

ON THE APPLICABILITY OF ESHELBY′S EQUIVALENT INCLUSION METHOD IN NONLINEAR CONTINUMM MECHANICS

摘要

摘要:本文是对１９９３年力学学报第２５卷第５期“刚性微粒填充的高聚物非线性粘弹性本构关系的微力学分析”的讨论，以远场球对称应力作用下非线性基体中含单个球形刚性粒子或单个球形孔洞为例，给出了问题的精确解．分析表明，关于材料线性的Ｅｓｈｅｌｂｙ等效夹杂方法不能简单地推广应用于研究非线性基体中含刚性粒子或孔洞的力学分析中．

Abstract:This note actually is a discussion on the paper′ A Micromechanical Analysis of The Nonlinear Elastic and Viscoelastics Constitutive Relation of a Polymer Filled With Rigid Particles′ published in Acta Mechanica Sinica, Vol.25, No.5, 1993(or Vol.10, No.2, 1994, English Edition). In order to verify the validity of the statement concluded by the paper, two illustrative examples are considered. Analytical solutions for problems of a rigid spherical particle and a spherical void embedded in an infinite...