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Duality in constitutive formulation of finite-strain elastoplasticity based on F=FeFp and F=FpFe decompositions
Institution:1. Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003, USA;2. BAM, Bundesanstalt für Materialforschung und -prüfung, Unter den Eichen 87, D-12205 Berlin, Germany;3. Institute of Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24-25, 14476 Potsdam, Germany;1. Civil Engineering Department, Tsinghua University, 100084 Beijing, PR China;2. Université Paris-Est, Laboratoire Navier (UMR 8205), CNRS, Ecole des Ponts ParisTech, IFSTTAR, Champs-sur-Marne 77455, France;3. Université Paris-Est, Laboratoire Navier (UMR 8205), CNRS, Ecole des Ponts ParisTech, IFSTTAR, Marne-la-Vallée 77420, France;4. Université Paris-Est, MAST, FM2D, IFSTTAR, Marne-la-Vallée 77447, France;1. Institut Jacques Monod (IJM), CNRS UMR 7592 et Université Paris Diderot, Paris 75013, France;2. Department of Mechanics, University of Zaragoza, 50018, Spain;1. Tampere University of Technology, Department of Mechanical Engineering and Industrial Systems, P.O. Box 589, FI-33101 Tampere, Finland;2. Research & Development, Wärtsilä Finland Oy;1. Department of Civil Engineering, University of New Mexico, MSC01 1070, 1 University of New Mexico, Albuquerque, NM 87131-0001, USA;2. Sandia National Laboratories, PO Box 5800, Albuquerque, NM 87185, USA
Abstract:A constitutive theory for large elastic–plastic deformations is presented by employing F=FpFe decomposition of the total deformation gradient. A duality in constitutive formulation based on this and the well-known Lee's decomposition F=FeFp is established for isotropic polycrystalline and single crystal plasticity.
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