压剪应力作用下复杂形状多裂纹应力强度因子

探讨了压剪条件下复杂形状裂隙间的相互作用对应力强度因子的影响．利用裂纹孤立原理将原始问题分解为5个只含单一直裂纹的问题．根据裂纹表面应力自由的边界条件，利用伪力的Legendre多项式展开和连续分布位错使相互作用裂隙边界条件得以满足，最后推导了第1种Cauchy型和第1种Fredholm型奇异积分方程．该方法可以解决弯折裂纹、周期性排列的裂纹相互作用对应力强度因子的影响．数值结果表明，本文解与精确解、BEM解吻合较好，表明本方法是正确、可行的．

The Influence of Interaction of Complex Multicracks on Stress Intensity Factors

An extremly accurate and efficient numerical method for solving the problem was presented, which is mainly by means of the crack isolating analysis technique, stress superposition principle ,the Legendre polynomial expansion of the pseudo-traction as well as the segmental average collocation technique. The singular equations of the Cauchy type and Fredholm integral equations of the first type were deduced. In the process of dealing with the superposition of infinite number of kinked cracks, the crack boundary conditions are satisfied. Many complex computing examples were given, and for some typical examples, numerical results were compared with the analytic solutions and the numerical solutions obtained by a boundary element method. The numerical results show that the stress intensity factors depend on the crack configuration,and on the geometrical and physical parameters.