Thermoelastic waves in a constrained isotropic plate: Incompressibility at uniform temperature

Valeriy Salnikov; Nigel Scott

doi:10.1093/qjmam/hbl006

Thermoelastic waves in a constrained isotropic plate: Incompressibility at uniform temperature

Valeriy Salnikov, Nigel Scott

Faculty of Science

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Thermoelastic waves are investigated which propagate through an isotropic plate which is constrained to be incompressible at uniform temperature. This is an example of a deformation–temperature constraint, also known as a strain–temperature constraint. The boundaries of the plate are taken to be traction free and either isothermal or insulated. Dispersion relations are derived and expanded asymptotically in the long-wave low-frequency limit. The short-wave limit is also discussed. The higher modes are investigated numerically. Graphical comparison with the unconstrained material is also presented.

Original language	English
Pages (from-to)	359-375
Number of pages	17
Journal	Quarterly Journal of Mechanics and Applied Mathematics
Volume	59
Issue number	3
DOIs	https://doi.org/10.1093/qjmam/hbl006
Publication status	Published - 2006

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10.1093/qjmam/hbl006

Cite this

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title = "Thermoelastic waves in a constrained isotropic plate: Incompressibility at uniform temperature",

abstract = "Thermoelastic waves are investigated which propagate through an isotropic plate which is constrained to be incompressible at uniform temperature. This is an example of a deformation–temperature constraint, also known as a strain–temperature constraint. The boundaries of the plate are taken to be traction free and either isothermal or insulated. Dispersion relations are derived and expanded asymptotically in the long-wave low-frequency limit. The short-wave limit is also discussed. The higher modes are investigated numerically. Graphical comparison with the unconstrained material is also presented.",

author = "Valeriy Salnikov and Nigel Scott",

year = "2006",

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language = "English",

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journal = "Quarterly Journal of Mechanics and Applied Mathematics",

issn = "0033-5614",

publisher = "Oxford University Press",

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TY - JOUR

T1 - Thermoelastic waves in a constrained isotropic plate: Incompressibility at uniform temperature

AU - Salnikov, Valeriy

AU - Scott, Nigel

PY - 2006

Y1 - 2006

N2 - Thermoelastic waves are investigated which propagate through an isotropic plate which is constrained to be incompressible at uniform temperature. This is an example of a deformation–temperature constraint, also known as a strain–temperature constraint. The boundaries of the plate are taken to be traction free and either isothermal or insulated. Dispersion relations are derived and expanded asymptotically in the long-wave low-frequency limit. The short-wave limit is also discussed. The higher modes are investigated numerically. Graphical comparison with the unconstrained material is also presented.

AB - Thermoelastic waves are investigated which propagate through an isotropic plate which is constrained to be incompressible at uniform temperature. This is an example of a deformation–temperature constraint, also known as a strain–temperature constraint. The boundaries of the plate are taken to be traction free and either isothermal or insulated. Dispersion relations are derived and expanded asymptotically in the long-wave low-frequency limit. The short-wave limit is also discussed. The higher modes are investigated numerically. Graphical comparison with the unconstrained material is also presented.

U2 - 10.1093/qjmam/hbl006

DO - 10.1093/qjmam/hbl006

M3 - Article

VL - 59

SP - 359

EP - 375

JO - Quarterly Journal of Mechanics and Applied Mathematics

JF - Quarterly Journal of Mechanics and Applied Mathematics

SN - 0033-5614

IS - 3

ER -