On constitutive relations at finite strain: Hypo-elasticity and elasto- plasticity with isotropic or kinematic hardening (Q1061520)

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.