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Macroscopic theory of evolution of deformation textures. (English) Zbl 0768.73064
This paper contains the derivation of a new equation for the orientation distribution function (texture evolution) in metallic polycrystals undergoing large plastic deformations in the range of low temperatures. In contrast to other theories, the equation proposed in this paper is hyperbolic. It is shown that solutions of this equation qualitatively reflect properties of textures very well, such as saturation at large plastic deformations. It is also demonstrated that plastic rotations play a particularly important role in time changes of textures.

MSC:
74A60 Micromechanical theories
74M25 Micromechanics of solids
74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
74C20 Large-strain, rate-dependent theories of plasticity
74C99 Plastic materials, materials of stress-rate and internal-variable type
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