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Thermoelasticity with Finite Wave Speeds
Józef Ignaczak and Martin Ostoja-Starzewski
432 pages
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26 illustrations
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234x156mm
978-0-19-954164-5
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Hardback
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24 September 2009
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- Expounds the dynamic thermoelasticity governed by hyperbolic equations
- Extensively covers the mathematics of two leading theories of hyperbolic thermoelasticity: the Lord-Shulman (or one relaxation time) theory, and the Green-Lindsay (or two relaxation times) theory
- In-depth coverage of: thermoelastic polynomials, existence and uniqueness theorems, variational principles, central equation of hyperbolic thermoelasticity, solution methods for periodic and aperiodic cases, and moving discontinuity surfaces
- Makes connections to several other generalized thermoelasticity theories and models, including the nonlinear hyperbolic rigid heat conductor of the Coleman type
- Reviews several applications of hyperbolic thermoelasticity, such as thermoelastic damping, chiral and fractal materials, and surface waves
- Extensive bibliography
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 either unsatisfactory 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 the field, 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 equations are 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 the methods for various initial/boundary value problems are explained and illustrated in detail and several applications of generalized thermoelasticity are reviewed.Readership:
Graduates and researchers in mathematics and engineering.
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Józef Ignaczak, Professor Emeritus, Institute of Fundamental Technological Research, Polish Academy of Sciences, and Martin Ostoja-Starzewski, Professor, Department of Mechanical Science & Engineering, University of Illinois at Urbana-Champaign
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Preface
Introduction
1: Fundamentals of linear thermoelasticity with finite wave speeds
2: Formulations of initial-boundary value problems
3: Existence and uniqueness theorems
4: Domain of influence theorems
5: Convolutional variational principles
6: Central equation of thermoelasticity with finite wave speeds
7: Exact aperiodic-in-time solutions of Green-Lindsay theory
8: Kirchhoff type formulas and integral equations in Green- Lindsay theory
9: Thermoelastic polynomials
10: Moving discontinuity surfaces
11: Time-periodic solutions
12: Physical aspects and applications of hyperbolic thermoelasticity
13: Nonlinear hyperbolic rigid heat conductor of the Coleman type
References
Index
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The specification in this catalogue, including without limitation price, format, extent, number of illustrations, and month of publication, was as accurate as possible at the time the catalogue was compiled. Occasionally, due to the nature of some contractual restrictions, we are unable to ship a specific product to a particular territory. Jacket images are provisional and liable to change before publication.
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