微极介质混合物的等效本构方程

对微极介质混合物引入代表性体积的等效均匀体,用代表性体积边界上的面力和面力偶定义等效应力和等效偶应力,提出了建立微极介质混合物的等效本构方程的一般原理和方法.讨论了以十字形框架为胞元的多胞材料面内变形问题的等效本构方程,给出合理的解析结果.

Equivalent Constitutive Equations of Mixture of Micro-pole Media

Uniformity method is often used in multi-scale analysis of multiphase media, For the mixture of micro-pole media, the equivalent homogeneous body of the representational volume is introduced, the equivalent stress and equivalent couple stress are defined by the surface force and body force on the boundary of the volume respectively. Based on these conceptions, the general principle and method of the equivalent constitutive equation of the mixture of micro-pole media are proposed As an example, the equivalent constitutive equation of multi-cell material which representative cell (RUC) constructed by crisscross frame is discussed, and a rational results thus are presented.