SH波作用下圆形衬砌与直线形裂纹的相互作用

研究SH波入射情况下圆形衬砌结构与直线形裂纹的相互作用问题.在含有圆形衬砌弹性空间上,考虑仅含衬砌结构的情况,求出应力,取时间谐和的出平面线源载荷作用时的位移函数基本解作为Green函数,利用裂纹的"人工切割",在裂纹实际存在区域加置与所求应力大小相等、方向相反的应力,从而构造出裂纹.文中给出圆形衬砌与裂纹同时存在情况下的位移、应力表达式,求解衬砌边的动应力集中问题.最后利用算例讨论裂纹对衬砌结构的动应力集中系数的影响.

Interaction of SH-wave on linear crack near circular lining

The interaction between a linear crack and circular lining impacted by an incident SH-wave was investigated.A suitable Green's function,which is a fundamental solution of displacement field for an elastic space possessing a circular lining while bearing out-of-plane harmonic line source force at any point, was constructed for the present problem.The stress of the circular lining was also determined.Using the method of crack-division and applying stress with the same counter orientation and size of the unknown stress at the actual position of the crack,the existing crack was reverted.After determining displacement and stress while a circular lining and crack both exists,the problem of dynamic stress concentration was solved.An example is also provided to show the effect of a crack on the dynamic stress concentration around a circular lining.