On modelling of piece-wise smooth cracks in two-dimensional finite bodies

✍ Scribed by W. L. Zang

• Publisher: Springer Netherlands
• Year: 1990
• Tongue: English
• Weight: 671 KB
• Volume: 46
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00034167

✦ Synopsis

An integral equation method for the solution to problems of piece-wise smooth cracks in two-dimensional finite bodies is presented. The method is based on an integral equation for the resultant forces along the crack line, coupling to an integral equation for the displacements on the outer boundary. Two kinds of integral kernels have been derived. One is based on the fundammltal solutions for an infinite plane and the other is based on the fundamental solutions for a half-plane. The latter can be directly applied to both internal crack problems and surface crack problems. Four numerical examples are presented and compared either to existing results or to the author's FEM calculations.