Mathematical Analysis of Thermoplasticity with Linear Kinematic Hardening
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| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Chełmiński, Krzysztof; Racke, Reinhard |
| Year of publication: | 2006 |
| Published in: | Journal of Applied Analysis ; 12 (2006), 1. - pp. 37-57. - ISSN 1425-6908. - eISSN 1869-6082 |
| DOI (citable link): | https://dx.doi.org/10.1515/JAA.2006.37 |
| Summary: |
We study thermoplasticity with the Prandtl-Reuss flow rule and with a linear evolution equation for the kinematic hardening. The yield function associated with the system under consideration depends explicitly on the temperature. To have a control on the temperature, we slightly modify the heat equation and prove that an approximation process, based on the Yosida approximation, converges to a global in time solution of the (modified) system of thermoplasticity.
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| Subject (DDC): | 510 Mathematics |
| Bibliography of Konstanz: | Yes |
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CHEŁMIŃSKI, Krzysztof, Reinhard RACKE, 2006. Mathematical Analysis of Thermoplasticity with Linear Kinematic Hardening. In: Journal of Applied Analysis. 12(1), pp. 37-57. ISSN 1425-6908. eISSN 1869-6082. Available under: doi: 10.1515/JAA.2006.37
@article{Cheminski2006-01Mathe-40935, title={Mathematical Analysis of Thermoplasticity with Linear Kinematic Hardening}, year={2006}, doi={10.1515/JAA.2006.37}, number={1}, volume={12}, issn={1425-6908}, journal={Journal of Applied Analysis}, pages={37--57}, author={Chełmiński, Krzysztof and Racke, Reinhard} }
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