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  “EXACT” SOLUTION OF A MODEL PROBLEM FOR THE COUPLED THERMOELASTIC EQUATIONS WITH NONSMALL TEMPERATURE CHANGES
 
 
Titel: “EXACT” SOLUTION OF A MODEL PROBLEM FOR THE COUPLED THERMOELASTIC EQUATIONS WITH NONSMALL TEMPERATURE CHANGES
Auteur: Atkinson, C.
Verschenen in: Journal of thermal stresses
Paginering: Jaargang 14 (1991) nr. 2 pagina's 215-225
Jaar: 1991-04-01
Inhoud: The coupled thermoelastic equations are derived for a material with Helmholtz free energy quadratic in the strains but with a temperature term that does not depend on (T — T0) /T0 being small, where T is the temperature and T0 the temperature of the body in its undeformed state. A solution is then derived for a thin-plane plate, a parabolic platelet, or a paraboloid, moving at a constant speed V in a thermoelastic medium, the constant plate temperature being T1, and (T1 — T0 ) /T0 is not necessarily small. The speed V of the plate is assumed to be small relative to elastic wave speeds of the thermoelastic medium and the plate itself is assumed to be rigid. The problem could be thought of as a model of a thin transformed plate in a solid-solid phase transformation (for a model in which elastic stresses are not considered) or as the inner solution for a plate that is not thin (for a nonlinear thermal problem of a thick rectangular rod) or as a model of a parabolic platelet or paraboloid shaped dendrite.
Uitgever: Taylor & Francis
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

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