含有多个涂层压电纤维复合材料的平面问题研究  

Plane Problem of Composite Material Containing Multiple Coated Piezoelectric Fibers

作　　者：杨宾华 

机构地区：[1]上海飞机客户服务有限公司维修工程部,上海200241

出　　处：《力学季刊》2016年第2期412-420,共9页Chinese Quarterly of Mechanics

摘　　要：压电纤维在未来的复合材料结构健康监测中具有重要作用.本文基于横观各向同性压电材料位移和应力连续条件以及经典的复势函数理论,讨论了同时受到平面内机械载荷和出平面电载荷作用时含有多个带涂层压电纤维的无限大线弹性基体的平面力学问题.首先将线弹性基体、涂层和压电纤维的应力场、位移场表示成复势函数,然后通过横观各向同性压电材料和线弹性材料的位移和应力连续条件确定复势函数表达式.将得到的复势函数表达式代入线弹性基体、涂层和压电纤维的的应力场、位移场公式可确定其应力场和位移场.最后,通过定量的案例讨论了涂层的材料属性对线弹性基体应力场的影响.案例分析表明涂层的材料属性对压电复合材料的应力场有重要的影响.Piezoelectric fibers will play a significant role in composite structure health monitoring in the future. Based on the displacement and stress boundary conditions of transverse isotropic piezoelectric material and the complex potential theory, the plane problem of a composite containing multiple coated piezoelectric fibers is investigated. First, the unknown stress and displacement fields are represented by the complex functions for the matrix, coating and piezoelectric fibers, respectively. The composite is subjected to a remote in-plane mechanical load and a remote out-of-plane electric load simultaneously. Then the stress and displacement fields of the components are obtained according to the continuous conditions. Furthermore, the quantitative effect of different coatings＇ on the electric-elastic fields of piezoelectric composite is discussed using several numerical examples. The results show that the coating properties have significant effects on the stress fields in the investigated piezoelectric composite.

关 键 词：复合材料 压电纤维 多连通域 涂层 

分 类 号：O346.1[理学—固体力学]