Rate-independent systems and their viscous regularizations: analysis, simulation, and optimal control
This chapter provides a survey on the analysis, simulation, and optimal control of a class of non-smooth evolution systems that appears in the modeling of dissipative solids. Our focus is on models that include internal constraints, such as a flow rule in plasticity, and that account for the tempera...
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| Main Authors: | , , , , , |
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| Format: | Chapter/Article |
| Language: | English |
| Published: |
2022
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| In: |
Non-smooth and complementarity-based distributed parameter systems
Year: 2022, Pages: 121-144 |
| DOI: | 10.1007/978-3-030-79393-7_6 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/978-3-030-79393-7_6
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| Author Notes: | Roland Herzog, Dorothee Knees, Christian Meyer, Michael Sievers, Ailyn Stötzner, and Stephanie Thomas |
| Summary: | This chapter provides a survey on the analysis, simulation, and optimal control of a class of non-smooth evolution systems that appears in the modeling of dissipative solids. Our focus is on models that include internal constraints, such as a flow rule in plasticity, and that account for the temperature dependence of the respective materials. We discuss here two cases, namely purely rate-independent models and viscously regularized models coupled to the temperature equation. |
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| Item Description: | Online veröffentlicht: 22. Juni 2021 Gesehen am 30.06.2026 |
| Physical Description: | Online Resource |
| ISBN: | 9783030793937 |
| DOI: | 10.1007/978-3-030-79393-7_6 |