首页|Dynamic viscoelastic unilateral constrained contact problems with thermal effects

Dynamic viscoelastic unilateral constrained contact problems with thermal effects

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  • NSTL
  • Elsevier
A new model that describes a dynamic frictional contact between a viscoelastic body and an obstacle is investigated in this paper. We consider a nonlinear viscoelastic constitutive law which involves a convex subdifferential inclusion term and thermal effects. The contact condition is modeled with unilateral constraint condition for a version of normal velocity. The boundary conditions that describe the contact, friction and heat flux are govern by the generalized Clarke multivalued subdifferential. We derive a coupled system of two nonlinear first order evolution inclusions problems, which consists of a parabolic variational-hemivariational inequality for the displacement and a hemivariational inequality of parabolic type for the temperature. Then, the unique weak solvability of the contact problem is obtained by virtue of a fixed point theorem and the surjectivity result of multivalued maps. Finally, we deliver a continuous dependence result on a coupled system when the data are subjected to perturbations. (C) 2022 Elsevier Inc. All rights reserved.

Variational-hemivariational inequalityHemivariational inequalityUnilateral constraintConvergenceFrictional contact problemDIFFERENTIAL VARIATIONAL-INEQUALITIESHEMIVARIATIONAL INEQUALITIESTHERMOVISCOELASTIC CONTACTBILATERAL CONTACTFRICTIONSYSTEM

Guo, Furi、Wang, JinRong、Han, Jiangfeng

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Guizhou Univ

Guangxi Univ Finance & Econ

2022

10.1016/j.amc.2022.127034

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN：0096-3003
年,卷(期)：2022.424
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