Analytical and Computational Aspects of Finite Plasticity

Professor Panos Papadopoulos
Associate Professor
Department of Mechanical Engineering
University of California
Berkeley, CA  94720-1704
 
Sponsored by the University Research Council

Date:  Monday, October 19, 1998
Time:  3:30 p.m.
Place:  W128 Nebraska Hall


A general framework is presented for the analysis of initial/boundary-value problems of rate-independent finite plasticity based on the continuum theory of Green and Naghdi. A family of constitutive models is developed within the context of the above theory employing generalized measures of Lagrangian strain and work-conjugate measures of stress. Both isotropic and anisotropic material response is considered. Certain computational aspects of the equations governing the plastic flow are discussed. Representative finite element simulations demonstrate the applicability and predictive capacity of the theory in the case of large plastic deformations of metals.