Viscoplasticity with frictional contact and rapid growth

摘要

We consider a problem in the inelastic deformation theory with a quasistatic deformation process of the gradient-monotone 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 problem with two nonlinear monotone operators. We consider the gradient-monotone inelastic constitutive function with 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. Copyright (c) 2016 John Wiley & Sons, Ltd.