Evolutionary variational-hemivariational inequalities with applications to dynamic viscoelastic contact mechanics

DOI10.1007/s00033-020-1260-6zbMath1431.49006OpenAlexW3003668782MaRDI QIDQ2300669

Liang Lu, Jiangfeng Han, Sheng-Da Zeng

Publication date: 27 February 2020

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-1260-6

zbMATH Keywords

weak solutionexistencehistory-dependent operatorparabolic variational-hemivariational inequalityClarke subgradientdynamic viscoelastic contact problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear parabolic equations (35K55) Contact in solid mechanics (74M15) Nonlinear constitutive equations for materials with memory (74D10) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

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History-dependent fractional hemivariational inequality with time-delay system for a class of new frictionless quasistatic contact problems, Dynamic viscoelastic unilateral constrained contact problems with thermal effects, Variational analysis of a dynamic thermoviscoelastic unilateral contact problem with normal damped response and friction, A fully-discrete finite element scheme and projection-iteration algorithm for a dynamic contact problem with multi-contact zones and unilateral constraint, Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

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