Limitations of the coupled/ quasi-static approximation in multi-dimensional linear thermoelasticity

DOI10.1080/00036819908840764zbMath1054.74595OpenAlexW2034088272WikidataQ58129960 ScholiaQ58129960MaRDI QIDQ4487820

Benjamin F. jun. Esham, Richard J. Weinacht

Publication date: 25 June 2000

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819908840764

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Thermal effects in solid mechanics (74F05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

On the Quasi-Static Approximation to the Initial Traction Boundary Problem of Linear Elastodynamics ⋮ On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics

Cites Work

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• A comment on approximations to the temperature in dynamic linear thermoelasticity
• Justification of the uncoupled and quasi-static approximations in a problem of dynamic thermoelasticity
• Further justification of the uncoupled and quasi-static approximations in thermoelasticity
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• Singular Perturbations and the Coupled/Quasi-Static Approximation in Linear Thermoelasticity
• The coupled/quasi-static approximation in one-dimensional linear thermoelasticity
• Decomposition of the Displacement Vector Field and Decay Rates in Linear Thermoelasticity

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