双相介质空间含有偏心裂纹的界面圆柱夹杂对SH波的散射  

Scattering of SH Waves by Interface Cylindrical Inclusion with Eccentric Crack in Bi-material Space

作　　者：杨杰[1] 

机构地区：[1]上海电机学院机械学院,上海200245

出　　处：《上海电机学院学报》2014年第6期311-316,323,共7页Journal of Shanghai Dianji University

基　　金：国家自然科学基金项目资助(10972064);上海高校青年教师培养资助计划项目资助(14AZ14);上海电机学院重点学科资助项目(12xk501)

摘　　要：采用Green函数和"裂纹切割"方法,对全空间双相介质界面上含有偏心径向裂纹的圆柱形弹性夹杂,在入射SH波作用下的散射情况进行动应力分析。首先,构造所需的Green函数表达式;其次,采用"裂纹切割"方法及"界面契合"技术构造理论模型裂纹,然后,根据连续性条件建立第一类Fredholm积分方程组,考虑弱奇异积分方程组可以直接离散及散射波的衰减特性求解此方程组;最后,通过算例,分析裂纹长度、入射波数及介质参数等对裂纹尖端动应力强度因子的影响。A dynamic stress analysis of cylindrical elastic inclusion with an eccentric radial crack at the bi-material interface in the whole space impacted by incident SH-waves is made using the Green function and crack cutting methods.First,the Green function expression is constructed. Secondly,The crack of the theoretical model is constructed using the crack cutting method and the interface conj unction technique.Then,the Fredholm integral equations of the first kind are estab-lished under the continuity condition.The equations are solved with the direct discrete method of integral equations and the attenuation characteristic of scattering waves.Finally,Distribution of the dynamic stress intensity factors at the tip of the crack is studied from the numerical results in-fluenced by the length of the crack,incident wave numbers,the medium parameters,and so on.

关 键 词：SH 波 偏心裂纹 圆柱夹杂 裂纹切割 动应力强度因子 

分 类 号：O347.4[理学—固体力学] O348[理学—力学]