Wavelet-enriched adaptive crystal plasticity finite element model for polycrystalline microstructures

Yan Azdoud, Jiahao Cheng, Somnath Ghosh

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

Micromechanical analysis of polycrystalline microstructures of metals and alloys, using crystal plasticity finite element (CPFE) models is extensively used for predicting deformation and failure under various conditions of strain-rates, creep and fatigue loading. Many CPFE models involve a large number of degrees of freedom for accurate representation of realistic polycrystalline microstructures. This can lead to prohibitively high computational costs to conduct meaningful analyses of phenomena of interest. To overcome this limitation, the authors have recently developed a wavelet enrichment adapted finite element model in Azdoud and Ghosh (2017) for elastic materials. The method adaptively creates an optimal discretization space conforming to the solution profile by projecting the solution field onto a set of scaling and multi-resolution wavelet basis functions. This paper extends this wavelet adapted FE model to finite deformation, crystal plasticity analysis of polycrystalline microstructures. After presenting the formulations, various validation tests are conducted to examine the convergence rates and computational efficiency of this method.

Original languageEnglish
Pages (from-to)36-57
Number of pages22
JournalComputer Methods in Applied Mechanics and Engineering
Volume327
DOIs
StatePublished - Dec 1 2017
Externally publishedYes

Funding

The authors would like to thank the Air Force Office of Scientific Research for sponsorship of this work under the grant FA9550-13-1-0062 (Program managers Dr. David Stargel, Mr. James Fillerup and Dr. Jaimie Tiley) for their continued support of this work. Computing resources were provided by the Homewood High Performance Compute Cluster (HHPC) and Maryland Advanced Research Computing Center (MARCC) and is gratefully acknowledged.

Keywords

  • Adaptive enrichment
  • Crystal plasticity FE
  • Finite deformation
  • Hierarchical finite elements
  • Second generation wavelets

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