Green's function: a numerical generation for fracture mechanics problems via boundary elements

The paper discusses the application of the hyper-singular boundary integral equation to obtain Green's function solution to general geometry fracture mechanics problems, such as curved multifracture crack simulation, static a nd harmonic (extended to transient dynamic through inverse numerical transf orms), in 2D and 3D. The numerical Green's function (NGF) can be implemente d into a boundary element computer program, as the fundamental solution, to produce an accurate and efficient boundary element procedure. The complete formulation is presented in a unified manner, generalizing previous proble m oriented procedures proposed by the authors. The results to some typical linear fracture mechanics problems are presented. (C) 2000 Elsevier Science S.A. All rights reserved.