On the partition of rate of deformation in crystal plasticity |
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| Institution: | 1. University of Padova, Department of Management and Engineering, Stradella S. Nicola 3, 36100 Vicenza Italy;2. Department of Mechanical and Aerospace Engineering, Western Michigan University, Kalamazoo, MI 49008, USA;1. Department of Metallurgical and Materials Engineering, Visvesvaraya National Institute of Technology (VNIT), South Ambazari Road, Nagpur 440010, Maharashtra, India;2. Department of Mechanical Engineering, Sardar Vallabhbhai National Institute of Technology (SVNIT), Surat 395007, Gujarat, India;3. Department of Materials Engineering, Indian Institute of Science (IISc), Bengaluru 560012, Karnataka, India |
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| Abstract: | Two different partitions of the rate of deformation tensor into its elastic and plastic parts are derived for elastic–plastic crystals in which crystallographic slip is the only cause of plastic deformation. One partition is associated with the Jaumann, and the other with convected rate of the Kirchhoff stress. Different expressions for the plastic part of the rate of deformation are obtained, and corresponding constitutive inequalities discussed. Relationship with the plastic part of the rate of the Lagrangian strain is also given. |
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