Mathematical Results on Existence for Viscoelastodynamic Problems with Unilateral Constraints

DOI10.1137/070695101zbMath1179.35198OpenAlexW2087930433MaRDI QIDQ3398272

Michelle Schatzman, Adrien Petrov

Publication date: 28 September 2009

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070695101

zbMATH Keywords

convolutionSignorini conditionspenalty methoddamped wave equationKelvin-Voigt materialunilateral boundary conditions

Mathematics Subject Classification ID

Variational inequalities (49J40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Linear constitutive equations for materials with memory (74D05) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (6)

Solvability of a pseudodifferential linear complementarity problem related to a viscoelastodynamic contact model ⋮ On the numerical approximation of a viscoelastodynamic problem with unilateral constraints ⋮ Thermodynamics and analysis of rate-independent adhesive contact at small strains ⋮ Coupling Rate-Independent and Rate-Dependent Processes: Existence Results ⋮ Solvability of a rational contact model with limited interpenetration in viscoelastodynamics ⋮ A robust finite element redistribution approach for elastodynamic contact problems

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