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Zbl 1152.74030
Delost, M.; Fabre, C.
On abstract variational inequalities in viscoplasticity with frictional contact. (English)
[J] J. Optim. Theory Appl. 133, No. 2, 131-150 (2007). ISSN 0022-3239; ISSN 1573-2878/e

From the summary: 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 quasistatic evolution of an elastic body in bilateral contact with a rigid foundation. The contact involves viscous friction of Tresca or Coulomb type. We prove existence results for approximate problems and give a full asymptotic analysis, proving strong or weak convergence results.

MSC 2000:: *74M15 Contact
74M10 Friction
74C10 Small-strain, rate-dependent theories
74H10 Analytic approximation of solutions
49J40 Variational methods including variational inequalities

Keywords: asymptotic analysis; existence; convergence

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Zentralblatt MATH Berlin [Germany]