直角平面内弹性圆夹杂对入射平面SH波的散射  

Scattering of Circular Inclusion in Right-angle Plane to Incident Plane SH-Wave

作　　者：史文谱[1] 陈瑞平[1] 张春萍[1] 

机构地区：[1]烟台大学,烟台264005

出　　处：《应用力学学报》2007年第1期154-159,共6页Chinese Journal of Applied Mechanics

基　　金：烟台大学博士启动资金资助项目(JX03B5)

摘　　要：利用复变函数法、多极坐标移动技术及傅立叶级数展开求解二维直角平面内圆形弹性夹杂对稳态入射平面SH波的散射问题。首先写出直角平面内不含夹杂时的入射波场和反射波场;其次建立直角平面内含夹杂时夹杂外的散射波解和夹杂内的驻波解,并利用叠加原理写出问题的总波场,借助夹杂边界处应力和位移的连续条件建立求解散射波解和驻波解中未知系数的无穷代数方程组并求解,通过算例具体讨论了直角平面水平边界点的位移幅度比和夹杂边界处径向应力集中系数随不同无量纲波数、入射角及圆孔位置的变化情况,结果表明了算法的有效实用性。Complex function method and multi-polar coordinate and Fourier series expansion technology are used to investigate the scattering of circular elastic inclusion in right-angle plane space to steady incident plane SH-wave.The incident waves and the reflection waves in complete right-angle plane space are constructed,then the scattering wave solution outside the inclusion and the standing wave solution inside the inclusion are formulated and the total wave solutions outside the inclusion and inside the inclusion can be obtained with superposition principle.An infinite algebraic equations of unknown coefficients appearing in the scattering wave and standing wave solution can be formulated with multi-polar coordinate transformation and the Fourier series expansion technology and the conditions of displacement/stress at the boundary of the circular inclusion.An example is given to illustrate the variations of the displacement ratio of the points on the horizontal boundary of the right-angle plane space and the radial stress concentration factor of the points at the boundary of the inclusion with different dimensionless wave numbers and the incident angle and the location of the circular inclusion.

关 键 词：直角平面 圆形弹性夹杂 SH波散射 复变函数法 多极坐标 应力集中系数 位移幅度比 

分 类 号：O343.1[理学—固体力学] P315.3[理学—力学]