On the evolution equation for the rest stress in rate-dependent plasticity |
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| Institution: | 1. Department of Engineering Sciences and Mathematics, Luleå University of Technology, Luleå, Sweden;2. Department of Polymer Materials and Composites, Research Institutes of Sweden, Piteå, Sweden;3. Normandie Univ, UNIROUEN, INSA Rouen, CNRS, Groupe de Physique des Matériaux, 76000 Rouen, France;4. Materials Engineering Department, Federal University of Rio Grande do Sul, Porto Alegre, Brazil;5. Institute of Mechanics and Mechanical Engineering, Riga Technical University, Riga, Latvia;1. Yildiz Technical University, Department of Mechanical Engineering, Istanbul, Turkey;2. University de Strasbourg, ICUBE, Strasbourg, France;3. Istanbul Technical University, Department of Electronics and Communication Engineering, Istanbul, Turkey;1. Department of Aerospace and Mechanical Engineering, University of Liège, Computational & Multiscale Mechanical of Materials (CM3), Quartier Polytech 1, Allée de la Découverte 9, Liège B-4000, Belgium;2. Institute of Mechanics, Materials and Civil Engineering, Université catholique de Louvain, Pôle IMAP Place Sainte Barbe 2, Louvain-la-Neuve B-1348, Belgium |
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| Abstract: | Three different structures of the evolution equation for the rest stress are derived. They correspond to different models of viscoplastic response, constructed by three-dimensional generalization of simple one-dimensional rheological models. Isotropic, kinematic and combined isotropic–kinematic hardening, with an evolution equation for the back stress, are incorporated in the constitutive framework. The results may be of interest in the analytical and numerical studies of the rate-dependent inelastic response. |
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