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The elasto-plastic exquisite corpse: A Suquet legacy |
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| Institution: | 1. Laboratoire Navier, UMR 8205, École des Ponts, IFSTTAR, CNRS, UPE, Champs-sur-Marne, France;2. School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA, USA;1. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China;2. Humboldt Fellow, Faculty of Civil and Environmental Engineering, Ruhr-Universität Bochum, Bochum 44801, Germany;3. Institute of Structural Analysis, Poznan University of Technology, Piotrowo 5, Poznan 60-965, Poland |
| Abstract: | Pierre Marie Suquet's pioneering work on plasticity paved the way for the mathematical theory of plasticity as we know it today. In this contribution we propose to review the most recent advances on that front and to illustrate how those impact classical problems of quasi-static elasto-plastic evolutions. Most notably, we exhibit new flow rules and derive conditions that prohibit the onset of plastic slips. From these, we obtain new uniqueness results for such evolutions. |
| Keywords: | Plasticity Quasi-static evolutions Plastic slips Uniqueness Space of bounded deformation |
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