THE EFFECT OF IMPERFECT INTERFACE ON THE STRESS FIELD OFTHREE-PHASE COMPOSITES
非理想界面对三相复合材料应力场的影响

A micromechanical model is presented for the prediction of the stress field in the threephase composite with imperfect interface between the interphase and the matrix. The method is based on the concept of the average stress in matrix of Mori and Tanaka. The imperfect interface is modeled by a linear spring-layer of vanishing thickness. Based on a reasonable assumption the solution for calculating stress field of the particle and fiber reinforced composites with interphase is obtained. Those found when the coated inclusion is embedded in unbounded matrix medium subjected to the average matrix stresses at infinity approximate the local stress fields in a coated inclusion. The advantage of this approach is that the local fields in the coating and inclusion, and in the adjacent matrix can be evaluated by using the solution of a single coated inclusion in an infinite matrix and inclusion interaction is take into account through the yet unknown average matrix stress. The numerical examples of three-phase composite under shear loading are given. The numerical results show that imperfect interface has the larger effect on the stresses of the composites.