Viscoplasticity with frictional contact and rapid growth | Zendy

Gleń Łukasz | Zendy

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Viscoplasticity with frictional contact and rapid growth

Author(s) -

Gleń Łukasz

Publication year - 2016

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.3761

Subject(s) - quasistatic process , monotone polygon , dissipation , mathematics , viscoplasticity , nonlinear system , mathematical analysis , deformation (meteorology) , monotonic function , classical mechanics , constitutive equation , geometry , physics , finite element method , quantum mechanics , meteorology , thermodynamics

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 © 2016 John Wiley & Sons, Ltd.

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