Micromechanically based stress and strain-rate flow potentials for anisotropic polycrystals |
| |
Authors: | Rumena Tsotsova Thomas Böhlke |
| |
Institution: | Karlsruhe Institute of Technology, Institute of Engineering Mechanics, Chair for Continuum Mechanics P.O.Box 6980, 76128 Karlsruhe, Germany |
| |
Abstract: | 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) |
| |
Keywords: | |
|
|