Surface integral and finite element hybrid method for two- and three-dimensional fracture mechanics analysis

✍ Scribed by W. D. Keat; B. S. Annigeri; M. P. Cleary

• Publisher: Springer Netherlands
• Year: 1988
• Tongue: English
• Weight: 903 KB
• Volume: 36
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00034816

✦ Synopsis

This paper summarizes the development of the surface integral and finite element hybrid method for two and three dimensional fracture mechanics analysis. The fracture, which is a discontinuity in the displacement field, is modeled explicitly and efficiently by use of dislocations for two dimensional analysis and by dipoles of point forces for three dimensional applications. The boundary value problem of a fracture in a finite domain is solved by (incremental) superposition of a finite element model of the finite body without the crack and a surface integral model of an infinite body with the crack, ensuring proper traction and displacement matching at the boundaries. Finite elements are also used to model nonhomogeneity and plasticity, though isotropic kernels are used for the integral equation. A variety of two and three dimensional problems have been modeled and excellent agreement with analytical solutions has been obtained. Propagation problems in two dimensions have also been modeled and the predicted results agree very we!l with experimental observations.