Journal
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Volume 51, Issue -, Pages 1-10Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.euromechsol.2014.11.004
Keywords
Single crystal; Porosity; Plasticity; Limit-analysis
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This study is devoted to the derivation of an approximate yield function for voided single crystals deforming by crystallographic slip. By making use of a regularized form of the Schmid law and solving approximately the hydrostatic case with a limit-analysis calculation, a Gurson-type yield criterion is proposed. It is obtained by a heuristic extension of existing limit-analysis results for a matrix obeying a quadratic Hill-type criterion. The proposed yield function is successfully compared with numerical results from the literature for face-centered cubic crystals. (C) 2014 Elsevier Masson SAS. All rights reserved.
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