Viscoplasticity with frictional contact and rapid growth

Łukasz Gleń


We consider a problem in the inelastic deformation theory with a quasistatic deformation process of the gradientmonotone type. We assume that the body has contact with a rigid foundation: the body moves on the foundation with friction. The frictional contact is modelled by a velocity-dependent dissipation functional. This makes an evolution problemwith two nonlinear monotone operators.We consider the gradient-monotone inelastic constitutive functionwith a rapid growth at infinity. This leads us to a nonreflexive Orlicz space as an operational base. The frictional dissipation potential brings about a minimalization problem in this nonreflexive Orlicz space.
Author Łukasz Gleń WMiNI
Łukasz Gleń,,
- Faculty of Mathematics and Information Science
Journal seriesMathematical Methods in the Applied Sciences, ISSN 0170-4214
Issue year2016
Publication size in sheets0.6
Keywords in Englishinelastic deformation theory, viscoplasticity, contact theory, friction law, Orlicz space, minimization problem
Abstract in PolishRozważamy zagadnienie z teorii odkształceń nieelaastycznych
Languageen angielski
Score (nominal)25
ScoreMinisterial score = 25.0, 28-11-2017, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, 28-11-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 1.017 (2) - 2016=1.031 (5)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.