A review of extended/generalized finite element methods for material modeling
Belytschko, Ted; Gracie, Robert; Ventura, Giulio; Belytschko, Ted; Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, USA;; Gracie, Robert; Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, USA;; Ventura, Giulio; Department of Structural Engineering and Geotechnics, Politecnico di Torino, 10129 Torino, Italy;
Журнал:
Modelling and Simulation in Materials Science and Engineering
Дата:
2009-06-01
Аннотация:
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.
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