Effective Flow Potentials for Anisotropic Polycrystals |
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Authors: | Rumena Tsotsova Thomas Böhlke |
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Institution: | University of Karlsruhe, Institute of Engineering Mechanics, Chair of Continuum Mechanics, P.O. Box 6980, 76128 Karlsruhe, Germany |
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Abstract: | In this paper a micromechanically based flow potential for anisotropic fcc polycrystals is derived that takes into account the crystallite orientation distribution function (codf) in terms of tensorial texture coefficients. The effective flow potential is based on a representation theorem for anisotropic scalar functions depending on a 2nd-order tensor. A priori unknown functions in the representation are determined by defining and solving explicitly a minimization problem over SO(3). Important analytical properties of the coefficient matrix of the minimization problem are discussed. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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