摘要
采用G reen函数法研究SH波入射时在圆形孔洞附近存在裂纹的情况下圆孔散射动应力集中系数的求解.取含有圆形孔洞的弹性全空间上任意一点承受时间谐和的出平面线源荷载作用时位移函数的基本解作为G reen函数.首先求解圆形孔洞在SH波作用下的散射问题,然后利用G reen函数在裂纹实际存在位置实施裂纹的“人工切割”,以恢复存在的裂纹.建立圆孔周边动应力的求解积分,得到动应力集中系数的解答.最后对圆形孔洞附近单裂纹问题进行了研究.
Using Green＇s Function method, the problem of SH- wave scattering by cracks near a cylindrical hole is investigated, and the solutions of dynamic stress concentration factor was given. That means a special Green＇ s Function, which is a fundamental solution of displacement field for an elastic space possessing a cylindrical gap while bearing out-of-plane harmonic line source force at any point,is constructed for the present problem. Firstly, the scattering problem of SH-wave by a cylindrical hole is solved. Then using Green＇ s Function, applying the method of crack-division at actual position of crack, the existent crack is reverted. Integration for solution is established, and the solution of dynamic stress concentration factor is given. Finally, the problem of single crack near a cylindrical hole is studied.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2005年第8期1077-1079,共3页
Journal of Harbin Institute of Technology
基金
国家自然科学基金资助项目(59578003)
关键词
裂纹
GREEN函数
SH波散射
动应力集中系数
crack
Green＇s Function
SH-wave scattering
dynamic stress concentration factor
