The extended/generalized finite element method: An overview of the method and its applications |
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| Authors: | Thomas‐Peter Fries Ted Belytschko |
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| Affiliation: | 1. Computational Analysis of Technical Systems, RWTH Aachen University, Schinkelstr. 2, 52062 Aachen, Germany;2. Chair.;3. Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208, U.S.A. |
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| Abstract: | 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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| Keywords: | review extended finite element method XFEM generalized finite element method GFEM partition of unity method PUM |
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