【摘要】 采用复变函数法和Green函数法研究了在水平界面承受出平面线源荷载时弹性半空间内半圆形凸起的圆柱形弹性夹杂对浅埋圆孔的动力作用。该问题采用"分区"、"契合"思想求解。首先,将整个求解区域分割成两部分,其一为含半圆形凹陷和圆孔的弹性半空间,其二为圆柱形弹性夹杂;其次,构造满足含半圆形凹陷半空间水平界面应力自由和圆孔边界应力自由的散射波,构造满足圆形夹杂上半表面应力自由下半表面应力连续条件的驻波和散射波;最后,在两个区域的"公共边界"上实施"契合",满足公共边界处位移和应力的连续性条件,同时满足圆孔边界应力自由的边界条件,建立起求解该问题的无穷代数方程组,并就具体算例分析讨论了浅埋圆孔边缘动应力集中系数(DSCF)的数值结果。结果表明:圆柱形弹性夹杂的"软"、"硬"对浅埋圆孔孔边动应力集中系数有不同的影响。更多还原

【Abstract】 The dynamic effects of a subsurface circular cavity by a cylindrical elastic inclusion with a semi-cylindrical hill above subsurface circular cavity in half space with out-of-plane harmonic line source load on horizontal interface have been considered using the methods of complex function and Green’s function.The solution to dynamic effects is given by the idea of "partitioning"and "conjunction".Firstly,we divide the solution domain into two.The one is an elastic half space with the semi-circular canyon and circular cavity,and the other is a cylindrical elastic inclusion.Secondly,the scattering wave field,which satisfies the free stress boundary conditions of the half space on the horizontal interface and circular cavity boundary could be constructed,moreover,the standing waves in the inclusion and the scattering waves outside it are formulated separately.Finally,we conjoin the two domains to satisfy the continuity condition of displacement and stress around the common boundary and the stress free boundary condition of circular cavity boundary,and a series of infinite algebraic equations could be obtained to solve this problem.In the examples,numerical results for dynamic stress concentration factor(DSCF) around the subsurfacecircular cavity edge are presented and discussed.Numerical results show that the softness and hardness of cylindrical inclusion have different effects on DSCF around the subsurface circular cavity edge.更多还原