Finite element methods in fracture mechanics

Finite element methodology specific to the analysis of fracture mechanics problems is reviewed. Primary emphasis is on the important algorithmic developments which have enhanced the numerical modeling of fracture processes. Methodologies to address elasto-static problems in two- and three-dimensions, elasto-dynamic problems, elasto-plastic problems, special considerations for three-dimensional nonlinear problems and the modeling of stable crack growth are reviewed. In addition, the future needs of the fracture community are discussed and open questions are identified. The need for theoretical advancements in continuum mechanics and constitutive fracture laws coupled with improved numerical algorithms is emphasized. Extensive reference is made to the open literature base for further details.