Thermoelasticity with Finite Wave Speeds

Hardcover | November 1, 2009

byJozef Ignaczak, Martin Ostoja-Starzewski

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Generalized dynamic thermoelasticity is a vital area of research in continuum mechanics, free of the classical paradox of infinite propagation speeds of thermal signals in Fourier-type heat conduction. Besides that paradox, the classical dynamic thermoelasticity theory offers eitherunsatisfactory or poor descriptions of a solid's response at low temperatures or to a fast transient loading (say, due to short laser pulses). Several models have been developed and intensively studied over the past four decades, yet this book, which aims to provide a point of reference in thefield, is the first monograph on the subject since the 1970s.Thermoelasticity with Finite Wave Speeds focuses on dynamic thermoelasticity governed by hyperbolic equations, and, in particular, on the two leading theories: that of Lord-Shulman (with one relaxation time), and that of Green-Lindsay (with two relaxation times). While the resulting field equationsare linear partial differential ones, the complexity of the theories is due to the coupling of mechanical with thermal fields. The mathematical aspects of both theories - existence and uniqueness theorems, domain of influence theorems, convolutional variational principles - as well as with themethods for various initial/boundary value problems are explained and illustrated in detail and several applications of generalized thermoelasticity are reviewed.

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Generalized dynamic thermoelasticity is a vital area of research in continuum mechanics, free of the classical paradox of infinite propagation speeds of thermal signals in Fourier-type heat conduction. Besides that paradox, the classical dynamic thermoelasticity theory offers eitherunsatisfactory or poor descriptions of a solid's respo...

Jozef Ignaczak has been at the Polish Academy of Sciences since 1957. He was also a research associate at Brown University in USA from 1961 to 1962; a senior lecturer at Monash University in Australia from 1965 to 1969; and held several other visiting posts. Before retiring from the Polish Academy of Sciences in 2005 he was also a mem...
Format:HardcoverDimensions:496 pages, 9.21 × 6.14 × 0.98 inPublished:November 1, 2009Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199541647

ISBN - 13:9780199541645

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Table of Contents

PrefaceIntroduction1. Fundamentals of linear thermoelasticity with finite wave speeds2. Formulations of initial-boundary value problems3. Existence and uniqueness theorems4. Domain of influence theorems5. Convolutional variational principles6. Central equation of thermoelasticity with finite wave speeds7. Exact aperiodic-in-time solutions of Green-Lindsay theory8. Kirchhoff type formulas and integral equations in Green- Lindsay theory9. Thermoelastic polynomials10. Moving discontinuity surfaces11. Time-periodic solutions12. Physical aspects and applications of hyperbolic thermoelasticity13. Nonlinear hyperbolic rigid heat conductor of the Coleman typeReferencesIndex