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Micromechanically based stress and strain‐rate flow potentials for anisotropic polycrystals
Author(s) -
Tsotsova Rumena,
Böhlke Thomas
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010209
Subject(s) - strain rate , materials science , viscoplasticity , anisotropy , flow (mathematics) , stress (linguistics) , texture (cosmology) , flow stress , mechanics , thermodynamics , composite material , constitutive equation , physics , optics , linguistics , philosophy , image (mathematics) , finite element method , artificial intelligence , computer science
The dissipation of rigid‐viscoplastic material behaviour is related to the stress flow potential and its Legendre‐Fenchel conjugated strain‐rate flow potential. In this paper micromechanically based approximation of these flow potentials, expressed in terms of the deviatoric stresses and strain‐rates, is derived from texture measurements. The dual potentials for single face‐centered cubic crystals are approximated in terms of Fourier expansion with tensorial texture coefficients. The macroscopic flow stress and strain‐rate potentials for an aggregate of polycrystals can be deduced from those of single crystal under the assumption of either homogeneous strain‐rate, or homogeneous stress field from the codf measurements. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)