On nonlocal rate-independent plasticity |
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| Institution: | 1. State Key Laboratory for Advanced Metals and Materials (SKLAMM), University of Science and Technology Beijing, Beijing 100083, China;2. Depart of Metallurgical and Materials Engineering, K U Leuven, B-3001 Heverlee, Belgium;3. Application and Engineering, Research and Development, Tata Steel, 1970 CA IJmuiden, The Netherlands;4. Steel Institute, RWTH Aachen University, Intzestrasse 1, 52072 Aachen, Germany;5. Eötvös Loránd University, Faculty of Informatics, Savaria Institute of Technology, Károlyi Gáspár ter 4, Szombathely 9700, Hungary;1. Department of Materials Science and Engineering, Delft University of Technology, Delft, the Netherlands;2. Department of Maritime and Transport Technology, Delft University of Technology, Delft, the Netherlands;3. Structural Dynamics, TNO, Delft, the Netherlands |
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| Abstract: | A nonlocal rate-independent large strain theory for elastic-plastic bodies consistent with thermodynamic theory is derived. The theory is based on a strain space formulation, where plastic strain is regarded as a primitive variable, characterised by an appropriate constitutive equation for its rate. Stress and free energy are assumed to be functions of a set of nonlocal variables, constructed from a collection of basic state functions, constituted by strain, plastic strain and a scalar measure of strain hardening. A yield function is introduced depending on the same set of independent, nonlocal variables. Yield criteria, flow rules, and loading conditions are formulated. The consistency condition is not, as in local theory, expressed by an algebraic equation, but by an integral equation defined throughout the region of plastic loading. |
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