caa a22 4500 445843535 CHVBK 20180317145352.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s00526-010-0336-0 doi (NATIONALLICENCE)springer-10.1007/s00526-010-0336-0 Quasistatic evolution for Cam-Clay plasticity: a weak formulation via viscoplastic regularization and time rescaling [Elektronische Daten] [Gianni Dal Maso, Antonio DeSimone, Francesco Solombrino] Cam-Clay nonassociative plasticity exhibits both hardening and softening behaviour, depending on the loading. For many initial data the classical formulation of the quasistatic evolution problem has no smooth solution. We propose here a notion of generalized solution, based on a viscoplastic approximation. To study the limit of the viscoplastic evolutions we rescale time, in such a way that the plastic strain is uniformly Lipschitz with respect to the rescaled time. The limit of these rescaled solutions, as the viscosity parameter tends to zero, is characterized through an energy-dissipation balance, that can be written in a natural way using the rescaled time. As shown in Dal Maso and DeSimone (Math Models Methods Appl Sci 19:1-69, 2009) and Dal Maso and Solombrino (Netw Heterog Media 5:97-132, 2010), the proposed solution may be discontinuous with respect to the original time. Our formulation allows us to compute the amount of viscous dissipation occurring instantaneously at each discontinuity time. Springer-Verlag, 2010 Dal Maso Gianni SISSA, Via Bonomea 265, 34136, Trieste, Italy aut DeSimone Antonio SISSA, Via Bonomea 265, 34136, Trieste, Italy aut Solombrino Francesco SISSA, Via Bonomea 265, 34136, Trieste, Italy aut Calculus of Variations and Partial Differential Equations Springer-Verlag 40/1-2(2011-01-01), 125-181 0944-2669 40:1-2<125 2011 40 526 https://doi.org/10.1007/s00526-010-0336-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00526-010-0336-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dal Maso Gianni SISSA, Via Bonomea 265, 34136, Trieste, Italy aut NATIONALLICENCE 700 1- DeSimone Antonio SISSA, Via Bonomea 265, 34136, Trieste, Italy aut NATIONALLICENCE 700 1- Solombrino Francesco SISSA, Via Bonomea 265, 34136, Trieste, Italy aut NATIONALLICENCE 773 0- Calculus of Variations and Partial Differential Equations Springer-Verlag 40/1-2(2011-01-01), 125-181 0944-2669 40:1-2<125 2011 40 526 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer