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A finite deformation second gradient theory of plasticity
Affiliation:1. Laboratoire 3S, Université Joseph Fourier, Institut National Polytechnique, CNRS, UMR 5521, BP 53, 38041 Grenoble cedex 9, France;2. Università degli Studi di Perugia, via G. Duranti, 93, 06125 Perugia, Italy;1. Institute for Problems in Mechanical Engineering, Bolshoy 61, V.O., St. Petersburg 199178, Russia;2. Peter the Great St. Petersburg Polytechnic University (SPbPU), Polytechnicheskaya st., 29, St. Petersburg 195251, Russia;1. Department of Mathematics, Hangzhou Normal University, Hangzhou, 310036, PR China;2. School of Mathematics & Physics, Anhui Jianzhu University, Hefei, 230601, PR China;1. Department of Mathematical and Physical Sciences, Nizwa University, Nizwa -611, P.O. Box 1357, Oman;2. Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt
Abstract:Extending the previous work by Chambon et al. [2] to the finite deformation regime, a local second gradient theory of plasticity for isotropic materials with microstructure is developed based on the multiplicative decomposition of the deformation gradient, the additive decomposition of the second deformation gradient and the principle of maximum dissipation.
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