Mathematical justification of viscoelastic beam models by asymptotic methods

DOI10.1016/J.JMAA.2010.04.067zbMath1425.74266OpenAlexW2008996444MaRDI QIDQ984821

Á. D. Rodríguez-Arós, Juan M. Viaño

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.04.067

zbMATH Keywords

asymptotic analysisviscoelasticityvariational equalitybeam model

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (6)

Models of Debonding Caused by Vibrations, Heat and Humidity ⋮ Mathematical justification of Kelvin-Voigt beam models by asymptotic methods ⋮ A bending-stretching model in adhesive contact for elastic rods obtained by using asymptotic methods ⋮ On the justification of Koiter's equations for viscoelastic shells ⋮ On the justification of viscoelastic elliptic membrane shell equations ⋮ A model for bending and stretching of piezoelectric rods obtained by asymptotic analysis

Cites Work

• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• A class of integro-differential variational inequalities with applications to viscoelastic contact
• Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods
• Les equations de von Kármán
• A justification of the von Kármán equations
• Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory
• Numerical analysis of a frictional contact problem for viscoelastic materials with long-term memory
• Existence results for dynamic adhesive contact of a rod
• Lectures on viscoelasticity theory
• Existence for a thermoviscoelastic beam model of brakes
• Une justification des équations de la thermoélasticité des poutres à section variable par des méthodes asymptotiques
• A justification of the one‐dimensional linear model of elastic beam
• Quasistatic viscoelastic contact with friction and wear diffusion
• A CLASS OF EVOLUTIONARY VARIATIONAL INEQUALITIES WITH VOLTERRA-TYPE TERM
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