Solvability of a pseudodifferential linear complementarity problem related to a viscoelastodynamic contact model

DOI10.1080/00036811.2017.1376250zbMath1470.74049OpenAlexW2755148375MaRDI QIDQ4567873

Adrien Petrov

Publication date: 20 June 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1376250

zbMATH Keywords

convolutionvariational inequalitydiagonal processpenalty methodSignorini conditionFourier method

Mathematics Subject Classification ID

Variational inequalities (49J40) Contact in solid mechanics (74M15) Linear constitutive equations for materials with memory (74D05) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Un problème hyperbolique du 2eme ordre avec contrainte unilaterale: la corde vibrante avec obstacle ponctuel
• A hyperbolic problem of second order with unilateral constraints: The vibrating string with a concave obstacle
• Regularity of solutions to a dynamic frictionless contact problem with normal compliance
• A wave problem in a half-space with a unilateral constraint at the boundary
• Convergence of mass redistribution method for the one-dimensional wave equation with a unilateral constraint at the boundary
• Sul moto di una corda vibrante in presenza di un ostacolo puntiforme
• Mathematical Results on Existence for Viscoelastodynamic Problems with Unilateral Constraints
• A boundary thin obstacle problem for a wave equation
• Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
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