List of Journal Publications
2006
1.
Simone, A., Duarte, C. A., der Giessen, E. Van
A Generalized Finite Element Method for polycrystals with discontinuous grain boundaries Journal Article
In: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, vol. 67, no. 8, pp. 1122–1145, 2006.
Abstract | BibTeX | Tags: Extended Finite Element Method, generalized finite element method, Grain boundary sliding, Partition of unity, polycrystals | Links:
@article{Simone2006,
title = {A Generalized Finite Element Method for polycrystals with discontinuous grain boundaries},
author = {A. Simone and C. A. Duarte and E. Van der Giessen},
doi = {10.1002/nme.1658},
year = {2006},
date = {2006-01-01},
journal = {INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING},
volume = {67},
number = {8},
pages = {1122–1145},
abstract = {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).},
keywords = {Extended Finite Element Method, generalized finite element method, Grain boundary sliding, Partition of unity, polycrystals},
pubstate = {published},
tppubtype = {article}
}
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).
