摘要
为揭示SH波作用下半空间中覆盖层对圆孔及夹杂动力的影响,基于大圆弧假定法求解所述散射问题,将原问题转化为曲面边界问题.借助Helmholtz定理先写出问题波函数的一般形式解,在满足边界条件的情况下再利用复变函数法把问题化为求解波函数中未知系数的无穷线性代数方程组.算例结果表明,覆盖层刚度和厚度的变化及夹杂的存在可显著改变圆孔周边动应力集中的分布。
For the purpose of revealing the impact caused by the surface elastic layer in a half-space on the dynamic of the circular cavity and inclusion under the action of the SH-wave, the solution to the mentioned scattering prob-lem was attained through the large-arc assumption method, in which we transformed the original problem into the curved-surface boundary problem. By using the Helmholtz theorem, the general solution of the Biot＆#39;s wave function was achieved. Under the case of meeting the boundary conditions, by utilizing the complex function method, we converted the present problem into an infinite linear algebraic equation for seeking the solutions to the unknown co-efficients of the wave function. The calculation results in examples show that different stiffness and thickness of the layer and the existence of inclusion can remarkably change the distribution of the dynamic stress concentration a-round the circular cavity.
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
北大核心
2014年第2期171-176,共6页
Journal of Harbin Engineering University
基金
中央高校基本科研业务费资助项目(HEUCF130212)
关键词
地表覆盖层
圆孔
圆夹杂
SH波散射
大圆弧假定法
动应力集中
覆盖层半空间
surface elastic layer
circular cavity
circular inclusion
SH-wave scattering
large arc assumed meth-od
dynamic stress concentration
layered half-space
