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Thermal stresses – advanced theory and applications. (English) Zbl 1165.74004

Solid Mechanics and Its Applications 158. Dordrecht: Springer (ISBN 978-1-4020-9246-6/hbk; 978-1-4020-9247-3/ebook). xxxii, 559 p. (2009).
This book is self-contained, so that the reader should not need to consult other sources while studying an isolated topic. The book starts from basic concepts and principles, and these are developed to more advanced levels as the text progresses. The book has ten chapters.
Chapter 1 treats, among other topics, the basic laws of thermoelasticty, with descriptions and mathematical formulations of stresses, deformations, constitutive laws, equations of equilibrium and motion, compatibility conditions, and the introduction of two-dimensional elasticity.
Chapter 2 presents the thermodynamics. Detailed attention is given to the first and second laws of thermodynamics, Fourier law of heat conduction, and more advanced topics like generalized thermoelasticity and second-sound phenomenon, thermoelasticity without energy dissipation, etc. The Lord-Shulman, Green-Lindsay and Green-Naghdi models are presented separately and within a unified formulation for heterogeneous/anisotropic materials.
Chapter 3 discusses basic problems of thermoelasticity. The analogy between thermal gradient and body forces is presented, and general solutions are derived in rectangular Cartesian, cylindrical and spherical coordinate systems.
Chapter 4 presents problems of heat conduction treated in various coordinate systems. Steady-state problems are discussed, and Fourier and Bessel functions are introduced. Engineering applications given in chapter 5 and 6 present thermal stresses in disks, cylinders and spheres.
Chapter 7 presents an analysis of thermal expansion in piping systems, a rare introduction to this frequently encountered engineering application.
In chapter 8 the theories of coupled and generalized thermoelasticity are presented. Finite and boundary element methods are the topics of chapter 9. The final chapter 10 is devoted to the analysis of creep. This chapter presents useful and efficient numerical techniques to handle creep problems for structures subjected to thermal stresses.
This book should be considered as a handbook to those interested in applied mathematics, continuum mechanics, thermal stress analysis and mechanical design.

MSC:

74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids
74F05 Thermal effects in solid mechanics
74A15 Thermodynamics in solid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
74S05 Finite element methods applied to problems in solid mechanics
74S15 Boundary element methods applied to problems in solid mechanics
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