Search results for: thermoelasticity

Theory of thermoelasticity with applications

Author : J.L. Nowinski
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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.

Evolution Equations in Thermoelasticity

Author : Reinhard Racke
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Although the study of classical thermoelasticity has provided information on linear systems, only recently have results on the asymptotic behavior completed our basic understanding of the generic behavior of solutions. Through systematic work that began in the 80s, we now also understand the basic features of nonlinear systems. Yet some questions remain open, and the field has lacked a comprehensive survey that explores these past results and presents recent developments. Evolution Equations in Thermoelasticity presents a modern treatment of initial value problems and of initial boundary value problems in both linear and nonlinear thermoelasticity, in one- and multi-dimensional spatial configurations. The authors provide the first self-contained presentation of the subject that offers both introductory parts accessible to graduate students and sophisticated sections valuable to experts.

Thermoelasticity

Author : Witold Nowacki
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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.

Dynamic Problems of Thermoelasticity

Author : W. Nowacki
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Magneto Thermoelasticity

Author : Heinz Parkus
File Size : 47.93 MB
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Thermoelasticity with Finite Wave Speeds

Author : Józef Ignaczak
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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

Author : Heinz Parkus
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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.

Applied Mechanics Reviews

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Thermal Stresses Advanced Theory and Applications

Author : Richard B. Hetnarski
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The authors are pleased to present Thermal Stresses – Advanced Theory and Applications. This book will serve a wide range of readers, in particular, gr- uate students, PhD candidates, professors, scientists, researchers in various industrial and government institutes, and engineers. Thus, the book should be considered not only as a graduate textbook, but also as a reference handbook to those working or interested in areas of Applied Mathematics, Continuum Mechanics, Stress Analysis, and Mechanical Design. In addition, the book p- vides extensive coverage of great many theoretical problems and numerous references to the literature. The ?eld of Thermal Stresses lies at the crossroads of Stress Analysis, T- ory of Elasticity, Thermodynamics, Heat Conduction Theory, and advanced methods of Applied Mathematics. Each of these areas is covered to the extend it is necessary. Therefore, the book is self-contained, so that the reader should not need to consult other sources while studying the topic. The book starts from basic concepts and principles, and these are developed to more advanced levels as the text progresses. Nevertheless, some basic preparation on the part of the reader in Classical Mechanics, Stress Analysis, and Mathematics, - cluding Vector and Cartesian Tensor Analysis is expected. While selecting material for the book, the authors made every e?ort to present both classical topics and methods, and modern, or more recent, dev- opments in the ?eld. The book comprises ten chapters.

Progress in Thermoelasticity

Author : Witold Nowacki
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