A review of extended/generalized finite element methods for material modeling

作者:Belytschko Ted*; Gracie Robert; Ventura Giulio
来源:Modelling and Simulation in Materials Science and Engineering, 2009, 17(4): 043001.
DOI:10.1088/0965-0393/17/4/043001

摘要

The extended and generalized finite element methods are reviewed with an emphasis on their applications to problems in material science: (1) fracture, (2) dislocations, (3) grain boundaries and (4) phases interfaces. These methods facilitate the modeling of complicated geometries and the evolution of such geometries, particularly when combined with level set methods, as for example in the simulation growing cracks or moving phase interfaces. The state of the art for these problems is described along with the history of developments.