Asymptotic derivation of quasistatic frictional contact models with wear for elastic rods

DOI10.1016/J.JMAA.2012.12.064zbMath1263.35064OpenAlexW2071353151MaRDI QIDQ1947454

Juan M. Viaño, Á. D. Rodríguez-Arós, Mircea Sofonea

Publication date: 22 April 2013

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.2012.12.064

zbMATH Keywords

asymptotic analysisnormal compliancelimit modelbeams contactscaling of the unknowns

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (13)

On the asymptotic behavior of solutions of anisotropic viscoelastic body ⋮ Mathematical and numerical analysis of an obstacle problem for elastic piezoelectric beams ⋮ Mathematical justification of the obstacle problem for elastic elliptic membrane shells ⋮ Numerical analysis of a contact problem with wear ⋮ Models of elastic shells in contact with a rigid foundation: an asymptotic approach ⋮ Numerical analysis and simulations of contact problem with wear ⋮ A bending-stretching model in adhesive contact for elastic rods obtained by using asymptotic methods ⋮ Asymptotic analysis of linearly elastic shells in normal compliance contact: convergence for the elliptic membrane case ⋮ A mixed variational formulation of a contact problem with wear ⋮ Mathematical and asymptotic analysis of thermoelastic shells in normal damped response contact ⋮ Analysis of a contact problem with wear and unilateral constraint ⋮ A study of the anisotropic static elasticity system in thin domain ⋮ A model for bending and stretching of piezoelectric rods obtained by asymptotic analysis

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