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Approximate yield criteria for anisotropic metals with prolate or oblate voids

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2006
auteur(s) Monchiet Vincent; Gruescu Ion-Cosmin; Charkaluk Eric; Kondo Djimédo
journal (abréviation) Comptes Rendus Mécanique (Compt Rendus Mec)
volume (numéro) 334 (7)
pages 431 – 439
résumé Following the study of Gologanu et al. (1997) which has extended the well-known approach of Gurson (1975), we propose approximate yield criteria for anisotropic plastic voided metals containing non spherical cavities. The plastic anisotropy of the matrix is described by means of Hill's quadratic criterion. The procedure to establish the closed form expression of approximate macroscopic criteria, in which void shape and plastic anisotropic effects are included, is detailed. The new criteria allow us to recover existing results in the cases of spherical and cylindrical voids in an Hill type plastic matrix. Moreover, they agree with previous criteria for non spherical voids in an isotropic plastic matrix. Finally, for validation purposes, we provide, in the general case of non spherical cavities in the anisotropic matrix, a comparison with the numerical exact two field criteria.
mots clés Computational solid mechanics; Ductile porous metals; Anisotropy; Hill criterion; Prolate and oblate voids
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