A Generalized Finite Element Method for polycrystals with discontinuous grain boundaries

A. Simone*, C. A. Duarte, E. Van der Giessen

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

165 Citaten (Scopus)
342 Downloads (Pure)


We present a Generalized Finite Element Method for the analysis of polycrystals with explicit treatment of grain boundaries. Grain boundaries and junctions, understood as loci of possible displacement discontinuity, are inserted into finite elements by exploiting the partition of unity property of finite element shape functions. Consequently, the finite element mesh does not need to conform to the polycrystal topology. The formulation is outlined and a numerical example is presented to demonstrate the potential and accuracy of the approach. The proposed methodology can also be used for branched and intersecting cohesive cracks, and comparisons are made to a related approach (Int. J. Numer Meth. Engng. 2000; 48:1741). Copyright (c) 2006 John Wiley & Sons, Ltd.

Originele taal-2English
Pagina's (van-tot)1122-1145
Aantal pagina's24
TijdschriftInternational Journal for Numerical Methods in Engineering
Nummer van het tijdschrift8
StatusPublished - 20-aug.-2006

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