Advances in Boundary Element Methods for Fracture Mechanics
M. H. Aliabadi, C. A. Brebbia
Computational Mechanics Publications, 1993 - Boundary element methods - 292 pages
This study presents advances in applications of the BEM to crack problems. Topics covered include BEM computations of elastodynamic fields in bodies containing internal, near-surface and surface-breaking cracks, and the BEM as a tool in the design of composite laminates.
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Aliabadi anisotropic applied traction auxiliary region basic density functions body force boundary conditions boundary element method boundary integral equation calculated collocation components composite laminates Computational crack faces crack front crack front elements crack length crack problems crack tip crack-extension increment defined delaminated denotes discretized displacement and traction displacement field domain dr(x dual boundary element edge crack elastic field elastodynamic Element type energy release rate evaluated Figure finite element finite element method force doublets formulation fracture mechanics fundamental fields fundamental solutions geometry given Green's function infinite body infinite plate intensity factor solutions isotropic J-integral layer linear elastic Load type Mech mesh mode Nisitani nodes normalised stress intensity notch obtained penny-shaped crack plane strain plastic zone point forces present procedure quarter-point elements ratio respectively shear shown in Fig special crack front stress concentration stress field stress intensity factor symmetric two-dimensional uniform tensile values variation vector weight functions