×

zbMATH — the first resource for mathematics

An element-free Galerkin method for three-dimensional fracture mechanics. (English) Zbl 0888.73066
Summary: The application of a coupled finite element-element-free Galerkin (EFG) method to problems in three-dimensional fracture is presented. The EFG method is based on moving least square approximations and uses only a set of nodal points and a CAD-like description of the body to formulate the discrete model. The EFG method is coupled with the finite element method which allows for the use of the EFG method in the crack region and the finite element method to model the remainder of the problem. Domain integral methods are used to evaluate stress intensity factors along the three-dimensional crack front.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74R99 Fracture and damage
Software:
PETSc
PDF BibTeX XML Cite
Full Text: DOI