International journal for numerical methods in engineering, 2006-08, Vol.67 (8), p.1122-1145
2006
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- Autor(en) / Beteiligte
- Titel
- A Generalized Finite Element Method for polycrystals with discontinuous grain boundaries
- Ist Teil von
- International journal for numerical methods in engineering, 2006-08, Vol.67 (8), p.1122-1145
- Ort / Verlag
- Chichester, UK: John Wiley & Sons, Ltd
- Erscheinungsjahr
- 2006
- Quelle
- Wiley Online Library Journals Frontfile Complete
- Beschreibungen/Notizen
- 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 © 2006 John Wiley & Sons, Ltd.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0029-5981eISSN: 1097-0207DOI: 10.1002/nme.1658Titel-ID: cdi_proquest_miscellaneous_29277263
- Format
- –
- Schlagworte
- Computational techniques, Condensed matter: structure, mechanical and thermal properties, Cracks, Defects and impurities in crystals, microstructure, Exact sciences and technology, eXtended Finite Element Method, Finite element method, Fundamental areas of phenomenology (including applications), Generalized Finite Element Method, Grain and twin boundaries, Grain boundaries, grain boundary sliding, INT, Loci, Mathematical analysis, Mathematical methods in physics, partition of unity, Physics, Polycrystals, Shape functions, Structure of solids and liquids, crystallography