Ill-posedness at the boundary for elastic solids sliding under Coulomb friction

DOI10.1007/BF00041691zbMath0755.73084OpenAlexW2048599987MaRDI QIDQ1198447

Michael Renardy

Publication date: 16 January 1993

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00041691

zbMATH Keywords

Agmon's conditionrigid surfaceincompressible neo-Hookean elastic solidsliding velocity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Ill-posed problems for PDEs (35R25) Theories of friction (tribology) (74A55)

Related Items (11)

Homogenization in non-linear dynamics due to frictional contact ⋮ Dynamic anti-plane sliding of dissimilar anisotropic linear elastic solids ⋮ Stick-slip waves between elastic and rigid half-spaces ⋮ Dynamic sliding of frictionally held bimaterial interfaces subjected to impact shear loading ⋮ Effect of wall slip on the stability of viscoelastic plane shear flow ⋮ Subsonic slip waves and steady sliding at the interface between two anisotropic elastic half-spaces in frictional contact with stick-slip ⋮ Frictional sliding modes along an interface between identical elastic plates subject to shear impact loading ⋮ Slip dynamics at an interface between dissimilar materials. ⋮ Rate and state dependent friction and the stability of sliding between elastically deformable solids ⋮ Dynamic ruptures in recent models of earthquake faults ⋮ Dynamic instabilities of frictional sliding at a bimaterial interface

Cites Work

• Necessary conditions at the boundary for minimizers in finite elasticity

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