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Theory of Thermoelasticity with Applications

Theory of Thermoelasticity with Applications
Author: J.L. Nowinski
Publisher: Springer
Total Pages: 860
Release: 1978-06-30
Genre: Science
ISBN:

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Although the theory of thermoelasticity has a long history, its foun dations having been laid in the first half of the nineteenth century by Duhamel and Neumann, wide-spread interest in this field did not develop until the years subsequent to World War Two. There are good reasons for this sudden and continuing revival of interest. First, in the field of aeronautics, the high velocities of modern aircraft have been found to give rise to aerodynamic heating; in turn, this produces intense thermal stresses and, by lowering the elastic limit, reduces the strength of the aircraft structure. Secondly, in the nuclear field, the extremely high temperatures and temperature gradients originating in nuclear reactors influence their design and operation. Likewise, in the technology of modern propulsive systems, such as jet and rocket engines, the high temperatures associated with combustion processes are the origin of unwelcome thermal stresses. Similar phenomena are encountered in the technologies of space vehicles and missiles, in the mechanics of large steam turbines, and even in shipbuilding, where, strangely enough. ship fractures are often attributed to thermal stres ses of moderate intensities. The investigations of these, and similar, problems have brol!ght forth a remarkable number of research papers, both theoretical and experimental, in which various aspects of thermal stresses in engineering structures are described.


Thermoelasticity

Thermoelasticity
Author: Heinz Parkus
Publisher: Springer Science & Business Media
Total Pages: 127
Release: 2012-12-06
Genre: Science
ISBN: 3709184479

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THERMOELASTICITY-the generalization of elasticity to nonisothermal deformations-has made considerable progress during the last two decades. Its basic theory is now well established, and many applications to problems in engineering have been successfully made. In writing this book it has been my aim to give, in a relatively small volume, an up-to-date presentation of those parts of thermoelasticity which, in my opinion, are of basic importance in the field. The theoretical back ground, together with the corresponding methods of solution, is developed first in each chapter and is followed by 'carefully selected examples intended to serve not only as illustrations of the theory but also as sources for useful results of engineering interest. Following a brief introductory chapter, the linearized, uncoupled theory is presented. Frequent reference is made here to the theory of isothermal elas ticity. A short review of the theory of heat conduction is included. The third and fourth chapters are concerned with special cases: plane thermo elastic stress and strain, and thermal bending and buckling of plates, respec tively. The real function method and the complex function approach are introduced simultaneously in Chapter 3 in order to exhibit and delineate the respective merits of the two procedures. In Chapter 5 the theory of thermo elasticity is developed in its most general form. Several particular cases are considered. This chapter also provides a rigorous foundation for the linearized theory of the preceding chapters.


Thermoelasticity with Finite Wave Speeds

Thermoelasticity with Finite Wave Speeds
Author: Józef Ignaczak
Publisher: Oxford University Press
Total Pages: 432
Release: 2010
Genre: Language Arts & Disciplines
ISBN: 0199541647

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A unique monograph in a fast developing field of generalized thermoelasticity, an area of active research in continuum mechanics, focusing on thermoelasticity governed by hyperbolic equations, rather than on a wide range of continuum theories.


Thermoelasticity

Thermoelasticity
Author: Witold Nowacki
Publisher: Elsevier
Total Pages: 579
Release: 2013-10-22
Genre: Science
ISBN: 1483162486

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Thermoelasticity, Second Edition reviews advances in thermoelasticity and covers topics ranging from stationary problems of thermoelasticity to variational theorems of stationary thermoelasticity; stresses due to the action of a discontinuous temperature field in an infinite elastic body; the action of heat sources in the elastic space; and thermal inclusions in an infinite disc and semi-infinite disc. Three different sets of differential equations describing the fields of strain and temperature are presented. This book is comprised of 12 chapters and begins with a discussion on basic relations and equations of thermoelasticity. Thermoelasticity is treated as a synthesis of the theory of elasticity and the theory of heat conduction. Some particular cases of thermoelasticity are then investigated, including stationary problems, the theory of thermal stresses, and classical dynamic elasticity. Dynamic effects due to the action of a non-stationary temperature field are examined, along with plane harmonic waves in an elastic space and thermal stresses in plates, shells, and viscoelastic bodies. The final chapter focuses on micropolar thermoelasticity, magnetothermoelasticity, and thermopiezoelectricity. This monograph will be of interest to physicists and mechanical engineers.


Theory of thermoelasticity with applications

Theory of thermoelasticity with applications
Author: J.L. Nowinski
Publisher: Springer
Total Pages: 0
Release: 2014-01-14
Genre: Science
ISBN: 9789400999299

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Although the theory of thermoelasticity has a long history, its foun dations having been laid in the first half of the nineteenth century by Duhamel and Neumann, wide-spread interest in this field did not develop until the years subsequent to World War Two. There are good reasons for this sudden and continuing revival of interest. First, in the field of aeronautics, the high velocities of modern aircraft have been found to give rise to aerodynamic heating; in turn, this produces intense thermal stresses and, by lowering the elastic limit, reduces the strength of the aircraft structure. Secondly, in the nuclear field, the extremely high temperatures and temperature gradients originating in nuclear reactors influence their design and operation. Likewise, in the technology of modern propulsive systems, such as jet and rocket engines, the high temperatures associated with combustion processes are the origin of unwelcome thermal stresses. Similar phenomena are encountered in the technologies of space vehicles and missiles, in the mechanics of large steam turbines, and even in shipbuilding, where, strangely enough. ship fractures are often attributed to thermal stres ses of moderate intensities. The investigations of these, and similar, problems have brol!ght forth a remarkable number of research papers, both theoretical and experimental, in which various aspects of thermal stresses in engineering structures are described.


Thermoelastic Models of Continua

Thermoelastic Models of Continua
Author: D. Iesan
Publisher: Springer Science & Business Media
Total Pages: 309
Release: 2013-03-19
Genre: Science
ISBN: 1402023103

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This volume is concerned with the basic problems of the theory of thermoelasticity for three models of continuous bodies: materials with voids, micropolar solids and nonsimple bodies. Beginning with the basic laws of thermodynamics, the theory of thermoelastic materials with voids is treated. Two subsequent chapters cover the analysis of the linear theory of micropolar thermoelastic bodies. The book concludes with a study of nonsimple thermoelastic materials, which are characterised by the inclusion of higher gradients of displacement in the basic postulates. Relevant examples and exercises which illustrate the theory are given throughout the text. The book should be of interest to mathematicians and specialists working in the fields of elasticity, thermoelasticity, civil engineering and geophysics.


Thermal Stresses—Advanced Theory and Applications

Thermal Stresses—Advanced Theory and Applications
Author: Richard B. Hetnarski
Publisher: Springer
Total Pages: 636
Release: 2019-04-11
Genre: Science
ISBN: 3030104362

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This is an advanced modern textbook on thermal stresses. It serves a wide range of readers, in particular, graduate and postgraduate students, scientists, researchers in various industrial and government institutes, and engineers working in mechanical, civil, and aerospace engineering. This volume covers diverse areas of applied mathematics, continuum mechanics, stress analysis, and mechanical design. This work treats a number of topics not presented in other books on thermal stresses, for example: theory of coupled and generalized thermoelasticity, finite and boundary element method in generalized thermoelasticity, thermal stresses in functionally graded structures, and thermal expansions of piping systems. The book starts from basic concepts and principles, and these are developed to more advanced levels as the text progresses. Nevertheless, some basic knowledge on the part of the reader is expected in classical mechanics, stress analysis, and mathematics, including vector and cartesian tensor analysis. This 2nd enhanced edition includes a new chapter on Thermally Induced Vibrations. The method of stiffness is added to Chapter 7. The variational principle for the Green-Lindsay and Green-Naghdi models have been added to Chapter 2 and equations of motion and compatibility equations in spherical coordinates to Chapter 3. Additional problems at the end of chapters were added.


The Mathematical Theory of Elasticity, Second Edition

The Mathematical Theory of Elasticity, Second Edition
Author: Richard B. Hetnarski
Publisher: CRC Press
Total Pages: 840
Release: 2010-10-18
Genre: Science
ISBN: 1439828881

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Through its inclusion of specific applications, The Mathematical Theory of Elasticity, Second Edition continues to provide a bridge between the theory and applications of elasticity. It presents classical as well as more recent results, including those obtained by the authors and their colleagues. Revised and improved, this edition incorporates additional examples and the latest research results. New to the Second Edition Exposition of the application of Laplace transforms, the Dirac delta function, and the Heaviside function Presentation of the Cherkaev, Lurie, and Milton (CLM) stress invariance theorem that is widely used to determine the effective moduli of elastic composites The Cauchy relations in elasticity A body force analogy for the transient thermal stresses A three-part table of Laplace transforms An appendix that explores recent developments in thermoelasticity Although emphasis is placed on the problems of elastodynamics and thermoelastodynamics, the text also covers elastostatics and thermoelastostatics. It discusses the fundamentals of linear elasticity and applications, including kinematics, motion and equilibrium, constitutive relations, formulation of problems, and variational principles. It also explains how to solve various boundary value problems of one, two, and three dimensions. This professional reference includes access to a solutions manual for those wishing to adopt the book for instructional purposes.