Advances in Boundary Element Methods for Fracture MechanicsM. H. Aliabadi, C. A. Brebbia |
Common terms and phrases
Aliabadi anisotropic applied traction auxiliary region basic density functions body force boundary conditions boundary element method boundary integral equations calculated collocation components composite laminates Computational crack faces crack front crack front elements crack problems crack surface crack tip crack-extension increment defined delaminated denotes discretized displacement and traction displacement field domain dual boundary element edge crack elastic field elastodynamic Element type Energy release rate evaluated Figure finite element force doublets formulation fracture mechanics fundamental fields fundamental solutions geometry given Green's function infinite body intensity factor solutions J-integral layer linear elastic Load type Mech mesh mode nodes normalised stress intensity notch obtained penny-shaped crack plane strain planes x3 point forces present procedure quarter-point elements ratio respectively Rooke shear shown in Fig special crack front stress concentration stress field stress intensity factor symmetric t₁ two-dimensional u₁ uniform tensile values variation vector weight functions