Green's functions of two-dimensional anisotropic body with a parabolic boundary

✍ Scribed by Hu Yuantai; Zhao Xinghua

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 467 KB
• Volume: 17
• Category: Article
• ISSN: 0253-4827
• DOI: 10.1007/bf00131087

✦ Synopsis

For two-dimensional anisotropic body with a parabolic boundary, the simple exphcit expressions of Green's functions are presented when a concentrated force f is applied at a point (x~, x °) in material for two kind boundary conditions, which are of free surJace and rigid surface, When parabolic curve degenerates into a 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 f is applied at a point on the parabolic boundary, its Green's functions are studied, too. By them and its integral, the arbitrary parabolic boundary value problems can be solved.

The l#nit case that the boundary degenerates into a crack is studied and the corresponding stress intensity factors are obtained.