Boundary Element Advances in Solid Mechanics pp 167-204 | Cite as

# The Symmetric Galerkin BEM in Linear and Non-Linear Fracture Mechanics

## Abstract

The symmetric Galerkin boundary element method is applied to the analysis of fracture processes involving also heterogeneous (zonewise homogeneous) domains accounting for the presence of interfaces between different subdomains. This method is characterized by the combined use of static and kinematic sources (i.e. traction and displacement discontinuities) to generate a symmetric integral operator and its space-discretization in the Galerkin weighted-residual sense. By virtue of this procedure and in analogy with the analysis of fractures in homogeneous bodies, some meaningful properties (e.g. symmetry and sign definiteness) of key continuum operators are preserved in the discrete form. Some numerical examples are presented, concerning both two-dimensional and threedimensional analyses.

## Keywords

Boundary Element Boundary Element Method Crack Front Process Zone External Action## Preview

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