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

โœ Scribed by Thomas-Peter Fries; Ted Belytschko

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
648 KB
Volume
84
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

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 nonโ€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 nonโ€smooth solutions near interfaces: Among them are the simulation of cracks, shear bands, dislocations, solidification, and multiโ€field problems. Copyright ยฉ 2010 John Wiley & Sons, Ltd.

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