下部脱胶界面圆夹杂的弹性动力学反平面分析  

Anti-plane analysis for steady state elastodynamics of interfacial debonding-bottomed circular inclusions

作　　者：齐辉[1] 高春[1,2] 周亚东[1,3] 潘向南 蔡立明[1] 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,黑龙江哈尔滨150001 [2]哈尔滨学院土木工程系,黑龙江哈尔滨150086 [3]济宁市建筑设计研究院,山东济宁272000

出　　处：《中南大学学报（自然科学版）》2016年第3期959-966,共8页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(51379048)~~

摘　　要：针对下部脱胶的界面圆柱夹杂对SH波的散射问题进行稳态研究。按照"分割"和"契合"思想,采用复变函数法、Green函数法与多极坐标法相结合实现边值问题的求解。首先,分别求解沿双相介质交界面剖分的上、下半空间的Green函数;其次,在界面上附加未知力系,将上、下半空间契合在一起,按交界面上的位移和应力的连续条件构造定解积分方程组;再次,采用直接离散法求解积分方程组,反推得到位移和应力场的表达式;最后,按应力场的表达式求得界面夹杂边沿的动应力集中因子。数值研究2个界面脱胶夹杂之间的相互作用,给出夹杂边沿动应力集中因子的分布情况。研究结果表明,界面脱胶夹杂之间的相互影响十分显著。SH wave scattering problem of interfacial debonding-bottomed circular inclusions was steadily analyzed, by using ＂split＂ and ＂conjunction＂, with complex function method, Green function method, and multi-polar coordinate method. Firstly, Green functions of two split half spaces were constructed, respectively. Secondly, the determined integral equations of unknown forces along conjunctive interface were expressed through the ＂conjunction＂ condition which claims displacement and stress continuous on the conjunctive interface. Thirdly, displacement and stress fields were presented by using solved integral equations with direct discrete method. Lastly, dynamic stress concentrations factor around the interfacial inclusion was formulated with expressions of stress fields. Numerical examples were calculated to study the interaction of two interfacial debonding-bottomed circular inclusions, and distributions of dynamic stress concentrations factor around inclusion were displayed. The results show that there are significant effects between interfacial debonding inclusions.

关 键 词：SH波散射 GREEN函数 界面夹杂 脱胶 动应力集中 

分 类 号：O343.1[理学—固体力学] P315.3[理学—力学]