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On constitutive relations at finite strain: Hypo-elasticity and elasto- plasticity with isotropic or kinematic hardening. (English) Zbl 0571.73001
Author reconsiders ”generalizing” of the constitutive relations of infinitesimal strain theories of classical plasticity with isotropic or kinematic hardening, and elasto-plasticity, to the finite strain case in order to develop theories that are physically plausible and overcome such anomalies as stresses that are oscillatory in time. Such stresses arise in some treatments of the topic. Paper has mostly to do with choice of stress rates in such generalizations. Hypo-elastic materials are also considered. Detailed numerical examples are presented.
A thorough, detailed treatment of interest to research engineers familiar with other fundamental works in the field.
Reviewer: R.H.Lance

MSC:
74A20 Theory of constitutive functions in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74C99 Plastic materials, materials of stress-rate and internal-variable type
74B20 Nonlinear elasticity
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