Author | Day, William Alan. author |
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Title | Heat Conduction Within Linear Thermoelasticity [electronic resource] / by William Alan Day |
Imprint | New York, NY : Springer New York, 1985 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9555-3 |
Descript | VIII, 84 p. online resource |
1 Preliminaries -- ยง1.1 One-dimensional linear thermoelasticity -- ยง1.2 An energy integral -- 2 The Coupled and Quasi-static Approximation -- ยง2.1 An integro-differential equation -- ยง2.2 Construction of solutions -- ยง2.3 Failure of the Maximum Principle -- ยง2.4 Behaviour of the kernel -- ยง2.5 Initial sensitivity to the boundary -- ยง2.6 A monotone property of the entropy -- 3 Trigonometric Solutions of the Integro-differential Equation -- ยง3.1 Maximum Principles for the pointwise mean total energy density and the pointwise mean square heat flux -- ยง3.2 The effect of coupling on trigonometric solutions -- 4 Approximation by Way of the Heat Equation or the Integro-differential Equation -- ยง4.1 Status of the heat equation -- ยง4.2 Comments on Theorem 13 -- ยง4.3 Proof of Theorem 13 -- ยง4.4 Mean and recurrence properties of the temperature -- ยง4.5 Status of the integro-differential equation -- 5 Maximum and Minimum Properties of the Temperature Within the Dynamic Theory -- ยง5.1 Maximum and minimum properties with prescribed heat fluxes -- ยง5.2 Maximum and minimum properties with prescribed temperatures -- References