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Bi-potential plasticity and parametric hypoplasticity

Joe Goddard (University of California, SD)

SES Medal Symposium in honor of D.J. Steigmann

Mon 9:00 - 10:30

MacMillan 115

It is shown how a comprehensive model of evolutionary, rate-independent elasto-plasticity can be obtained from two potentials, the standard hyperelastic potential and a dissipation potential of the type derived by Edelen. When combined with a set of rate-independent evolution equations for various internal variables, the model describes phenomena such as flow-induced hardening and anisotropy. It is a straightforward matter to include Cosserat elasto-plasticity and the effects of plastic spin. The elastoplastic moduli introduced in a previous model of Cosserat plasticity [1] are now given by the above potentials. A brief comparison is made with existing models of plasticity, including hypoplastic models and models that depend on elastic strain and internal variables through a single potential function. [1] J. D. Goddard. Granular hypoplasticity with Cosserat effects. In J. D. Goddard, J. T. Jenkins, and P. Giovine, editors, IUTAM-ISIMM Symposium: Mathematical Modeling and Physical Instances of Granular Flows, AIP Conference Proceedings v. 1227, pages 323–32, Reggio Calabria, Italy, 2010. American Institute of Physics; New York.