【摘要】 本文使用有限部积分原理和两相材料空间弹性力学问题的点力基本解导出了与界面垂直相融的三维平片裂纹的超奇异积分方程组;然后以这组方程为基础,进一步采用二维超奇异积分的主部分析法得到了平片裂纹与两相材料界面垂直相触时两者交线上的应力奇性指数,这些结果将为精确建立交线前沿附近奇性应力场和应力强度因子的计算公式奠定基础。更多还原

【Abstract】 In this paper the principles of finite-part integrals and the fundamental solutions for a point force of space elastostatic problems of bimaterial were employed to derive hypersingular integral equations of a three-dimensional planar crack terminating at an interface of bimaterial, and then on the basis of the equations, the stress singularities of intersectionline between the planar crack and the interface were further obtanined by the dominant-part analysis of two-dimensional hypersingular integrals. The solutions will lay a foundation of expressions to calculate the singular stress fields and the stress intensity factors near the intersectionline.更多还原