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Inelastic deformation of polycrystalline face centered cubic materials by slip and twinning. (English) Zbl 0971.74024

From the summary: For the title problem, we formulate a rate-independent constitutive model which accounts for both slip and twinning. We also develop a scheme to determine active systems and shear increments on the active slip and twin systems. We implement our constitutive equations and computational procedures in the finite element program ABAQUS/Explicit (1995).
By using comparisons between model predictions and macroscopically-measured stress-strain curves and texture evolution, we deduce information about the values of the single crystal parameters associated with slip and twin system deformation resistances and hardening due to slip and twinning. We show that the model is able to reproduce both experimentally measured pole figures and stress-strain curves in plane strain compression for \(\alpha\)-brass. With the model so calibrated, we show that the predictions for the texture and stress-strain curves from the model are in reasonably good agreement with experiments in simple compression.

MSC:

74E15 Crystalline structure
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
74S05 Finite element methods applied to problems in solid mechanics
82D25 Statistical mechanics of crystals
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