远处载荷作用下自由表面附近裂纹问题

采用连续分布位错模型讨论和分析了受远处载荷下半无限平面自由边界附近任意方位的裂纹问题，问题求解最后归结为求解一组Cauchy型奇异积分方程。在数值求解这组奇异积分方程中未知位错分布密度近似的基本密度函数与Chebyshev多项式之积，计算表明，本文方法的数值结果不但收敛快而且精度高。

Fracture Problems Near a Free Boundary of a Half-plane Subjected to Remote Loading

With a continuously distributed dislocation model,this paper deals with cracks inclined to a free surface of a semi-infinite plane under remote loadings.Solution of the problems reduces to solving a set of Cauchy type singular equations.In the numerical calculations,the unknown density of dislocation is approximated with the product of fundamental function and Chebyshev polynomials.The calculations show the present method yields rapidly converging and high accurate numerical results.