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- Publisher
- Springer Journals
- Copyright
- Copyright © 2007 by Springer
- Subject
- Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Methods
- ISSN
- 0095-4616
- eISSN
- 1432-0606
- DOI
- 10.1007/s00245-007-0878-5
- Publisher site
- See Article on Publisher Site
Abstract
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 micropolar 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.
Journal
Applied Mathematics and Optimization – Springer Journals
Published: Jun 1, 2007