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Problem of multiple solutions in the Taylor model
Author(s) -
Wierzbanowski K.
Publication year - 1989
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.2170240205
Subject(s) - slip (aerodynamics) , crystal plasticity , anisotropy , hardening (computing) , lattice (music) , materials science , rotation (mathematics) , taylor series , plasticity , geometry , computer science , physics , mathematics , mathematical analysis , thermodynamics , optics , composite material , layer (electronics) , acoustics
The Taylor model of polycrystal plasticity gives multiple solutions for some crystal orientations. This means that the slip systems, slip shears and crystal rotations are not unique. In such a case the unique prediction of crystal rotation is impossible and consequently some limitations for the texture study are imposed. We propose to eliminate this degeneration using an energetic criterion based on the anisotropic latent hardening of slip systems. We present a few examples of unique choice of slip systems and of crystal rotation.