Dynamics of elastic bodies connected by a thin soft viscoelastic layer

DOI10.1016/j.matpur.2012.10.005zbMath1296.74060OpenAlexW2005580803MaRDI QIDQ387981

Ahmed Ould Khaoua, Christian Licht, Somsak Orankitjaroen, Alain Léger

Publication date: 18 December 2013

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2012.10.005

zbMATH Keywords

existenceuniquenessvariational convergencegeneralized Kelvin-Voigt viscoelasticityTrotter's theory

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Nonlinear constitutive equations for materials with memory (74D10) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74) Junctions (74K30)

Related Items (3)

Dynamics of two linearly elastic bodies connected by a heavy thin soft viscoelastic layer ⋮ Higher order interfacial effects for elastic waves in one dimensional phononic crystals via the Lagrange-Hamilton's principle ⋮ An asymptotic model for a thin, soft and imperfectly bonded elastic joint

Cites Work

• Approximation of semi-groups of operators
• Nonlinear boundary conditions in Kirchhoff-Love plate theory
• Acoustical validation of the rheological models for a structural bond
• The Derivation of Constitutive Relations from the Free Energy and the Dissipation Function
• Transmission of Elastic Waves through a Stratified Solid Medium
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