Viscoplasticity with frictional contact and rapid growth
AbstractWe 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.
|Journal series||Mathematical Methods in the Applied Sciences, ISSN 0170-4214|
|Publication size in sheets||0.6|
|Keywords in English||inelastic deformation theory, viscoplasticity, contact theory, friction law, Orlicz space, minimization problem|
|Abstract in Polish||Rozważamy zagadnienie z teorii odkształceń nieelaastycznych|
|Score|| = 25.0, 28-11-2017, ArticleFromJournal|
= 25.0, 28-11-2017, ArticleFromJournal
|Publication indicators||: 2016 = 1.017 (2) - 2016=1.031 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.