Asymptotic Analysis of a Dynamical System Arising in Thermoelastic Contact

DOI10.1137/18M1191191zbMath1403.37093WikidataQ128862169 ScholiaQ128862169MaRDI QIDQ4558061

P. D. Howell

Publication date: 28 November 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsasymptotic analysisthermoelastic instability

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Thermal effects in solid mechanics (74F05) Dynamical systems in solid mechanics (37N15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (1)

Axisymmetric thermoelastic contact vibration between a viscoelastic half-space and a rotating spherical punch

Uses Software

• DLMF

Cites Work

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• The thermoelastic Aldo contact model with frictional heating
• Interaction of thermal contact resistance and frictional heating in thermoelastic instability.
• Piecewise-smooth dynamical systems. Theory and applications
• Bifurcation phenomena in non-smooth dynamical systems
• Eigenvalue solution of thermoelastic instability problems using Fourier reduction
• Stick-slip vibrations and chaos
• Bifurcations in Nonsmooth Dynamical Systems
• A model for thermoelastic contact oscillations
• Dynamics with Inequalities
• Modelling elastic structures with strong nonlinearities with application to stick–slip friction

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