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Micromechanical Generalization of the Mises‐Hill Anisotropy Yield Criterion
Author(s) -
Tsotsova R.,
Böhlke T.
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810473
Subject(s) - quartic function , anisotropy , von mises yield criterion , ansatz , quadratic equation , yield (engineering) , locus (genetics) , generalization , mathematics , mathematical analysis , mathematical physics , physics , geometry , pure mathematics , thermodynamics , chemistry , optics , finite element method , biochemistry , gene
This paper proposes a new micromechanically motivated yield criterion expressed in terms of the leading tensorial texture coefficient of the crystallite orientation distribution function. The central finding is that although only a 4th–order anisotropy tensor occurs in the expression for the yield locus, the ansatz provides significantly better results in comparison to the quadratic Hill condition. The improvement is due to cubic and quartic tensorial contributions in terms of the stress direction. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)