具有抛物线边界的二维弹性介质的Green函数

文章求解了具有抛物线边界的二维弹性介质的两种Ｇｒｅｅｎ函数，一种是自由边界问题，另一种是刚性边界问题。我们还求得了当抛物线边界退化成半无限裂纹或半无限刚性裂纹时裂纹尖端的奇异场，得到了集中力作用于边界的基本解，这个基本解使得我们可以通过沿边界积分确定任意分布荷载的弹性解．

Green's Functions of Two-Dimensional Anisotropic Body with a Parabolic Boundary

For two-dimsional anisotropic body with a parabolic boundary, the simple explicit expressions of Green is funct ions are presented when a concentrated force is applied at a point in material for two kind boundary conditions, which are of free suface and r ibid surface. When parabolic curve degenerates into e'half-infinite crack or a half-infinite rigid defect the stress singular fields near the crack tip are obtained by using the results obtained. Specially. when the concentrated force is applied a.t a point on the parabolic boundo.ry, its Greenls functions are studied, too. By them and their integrals the arbitrary parabolic bounday yalue problems can be soly6d. The limit case that the boundary degenerates into a crack is studied and the corresponding stress intensitic factors are obtained