The extended/generalized finite element method: An overview of the method and its applications | Zendy

Fries ThomasPeter | Zendy; Belytschko Ted | Zendy

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The extended/generalized finite element method: An overview of the method and its applications

Author(s) -

Fries ThomasPeter,

Belytschko Ted

Publication year - 2010

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.2914

Subject(s) - extended finite element method , finite element method , gravitational singularity , space (punctuation) , element (criminal law) , mixed finite element method , polynomial , mathematics , shear (geology) , variety (cybernetics) , mathematical analysis , computer science , structural engineering , engineering , materials science , law , political science , composite material , operating system , statistics

An overview of the extended/generalized finite element method (GEFM/XFEM) with emphasis on methodological issues is presented. This method enables the accurate approximation of solutions that involve jumps, kinks, singularities, and other locally non‐smooth features within elements. This is achieved by enriching the polynomial approximation space of the classical finite element method. The GEFM/XFEM has shown its potential in a variety of applications that involve non‐smooth solutions near interfaces: Among them are the simulation of cracks, shear bands, dislocations, solidification, and multi‐field problems. Copyright © 2010 John Wiley & Sons, Ltd.

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