Applied Mathematics and Optimization, Vol.56, No.1, 19-35, 2007
Well-posedness of dynamic cosserat plasticity
We investigate the regularizing properties of generalized continua of micropolar type for dynamic elasto-plasticity. To this end we propose an extension of classical infinitesimal elasto-plasticity to include consistently non-dissipative rnicropolar effects and we show that the dynamic model allows for a unique, global in-time solution of the corresponding rate-independent initial boundary value problem of pure Dirichlet-type. The methods of choice are the Yosida approximation and a passage to the limit.