caa a22 4500 46316895X CHVBK 20180406164807.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10957-007-9176-2 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9176-2 On Abstract Variational Inequalities in Viscoplasticity with Frictional Contact [Elektronische Daten] [M. Delost, C. Fabre] In this paper, we study quasistatic abstract variational inequalities with time-dependent constraints. We prove existence results and present an approximation method valid for nonsmooth constraints. Then, we apply our results to the approximation of the quasistatic evolution of an elastic body in bilateral contact with a rigid foundation. The contact involves viscous friction of the Tresca or Coulomb type. Weprove existence results for approximate problems and give a full asymptotic analysis, proving strong or weak convergence results. Our work is motivated by the numerical study in the paper [Delost, M.: Quasistatic Problem with Frictional Contact: Comparison between Numerical Methods and Asymptotic Analysis Related to Semi Discrete and Fully Discrete Approximations. University of Nice, Nice (2007, to appear)] and explains the choice of the approximation made in it. Springer Science+Business Media, LLC, 2007 Frictional contacts nationallicence Viscoplasticity nationallicence Variational inequalities nationallicence Asymptotic analysis nationallicence Delost M. Observatoire Ocanologique, UMR 6526, UR 082 BP 48, 06235, Villefranche sur Mer, France aut Fabre C. Université Paris Sud, CNRS UMR 8628, Bat 425, 91405, Orsay, France aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/2(2007-05-01), 131-150 0022-3239 133:2<131 2007 133 10957 https://doi.org/10.1007/s10957-007-9176-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9176-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Delost M. Observatoire Ocanologique, UMR 6526, UR 082 BP 48, 06235, Villefranche sur Mer, France aut NATIONALLICENCE 700 1- Fabre C. Université Paris Sud, CNRS UMR 8628, Bat 425, 91405, Orsay, France aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/2(2007-05-01), 131-150 0022-3239 133:2<131 2007 133 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer