One-dimensional viscoelastodynamics with Signorini boundary conditions

DOI10.1016/S1631-073X(02)02399-3zbMath1043.35119OpenAlexW2002019682MaRDI QIDQ1608723

Adrien Petrov, Michelle Schatzman

Publication date: 14 October 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02399-3

zbMATH Keywords

variational inequalityenergy lossesunilateral boundary conditionsone-dimensional viscoelastic problem

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (10)

Fractional index convolution complementarity problems ⋮ Energy balance for viscoelastic bodies in frictionless contact ⋮ A rod-beam system with dynamic contact and thermal exchange condition ⋮ Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles ⋮ A generalized Duffing equation with the Coulomb's friction law and Signorini-type contact conditions ⋮ Existence of a solution to a dynamic unilateral contact problem for a cracked viscoelastic body. ⋮ Thick obstacle problems with dynamic adhesive contact ⋮ Differential variational inequalities ⋮ HIGH FREQUENCY ANALYSIS OF FAMILIES OF SOLUTIONS TO THE EQUATION OF VISCOELASTICITY OF KELVIN–VOIGT ⋮ Solvability of a rational contact model with limited interpenetration in viscoelastodynamics

Cites Work

• A wave problem in a half-space with a unilateral constraint at the boundary
• Semi-groups of nonlinear contractions and dissipative sets
• A boundary thin obstacle problem for a wave equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: One-dimensional viscoelastodynamics with Signorini boundary conditions