Heat Conduction Within Linear Thermoelasticity
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Heat Conduction Within Linear Thermoelasticity
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Author : William A. Day
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-07
Heat Conduction Within Linear Thermoelasticity written by William A. Day and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Science categories.
J-B. J. FOURIER'S immensely influential treatise Theorie Analytique de la Chaleur [21J, and the subsequent developments and refinements of FOURIER's ideas and methods at the hands of many authors, provide a highly successful theory of heat conduction. According to that theory, the growth or decay of the temperature e in a conducting body is governed by the heat equation, that is, by the parabolic partial differential equation Such has been the influence of FOURIER'S theory, which must forever remain the classical theory in that it sets the standard against which all other theories are to be measured, that the mathematical investigation of heat conduction has come to be regarded as being almost identicalt with the study of the heat equation, and the reader will not need to be reminded that intensive analytical study has t But not entirely; witness, for example, those theories which would replace the heat equation by an equation which implies a finite speed of propagation for the temperature. The reader is referred to the article [9] of COLEMAN, FABRIZIO, and OWEN for the derivation of such an equation from modern Continuum Thermody namics and for references to earlier work in this direction. viii Introduction amply demonstrated that the heat equation enjoys many properties of great interest and elegance.
Thermoelasticity
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Author : Heinz Parkus
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Thermoelasticity written by Heinz Parkus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
The Linear Theory Of Thermoelasticity
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Author : I.N. Sneddon
language : en
Publisher: Springer
Release Date : 2014-05-04
The Linear Theory Of Thermoelasticity written by I.N. Sneddon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.
Thermoelasticity
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Author : Witold Nowacki
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Thermoelasticity written by Witold Nowacki and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
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.
Thermoelasticity With Finite Wave Speeds
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Author : Józef Ignaczak
language : en
Publisher: Oxford University Press
Release Date : 2010
Thermoelasticity With Finite Wave Speeds written by Józef Ignaczak and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Language Arts & Disciplines categories.
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.
Inverse Heat Conduction
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Author : Hamidreza Najafi
language : en
Publisher: John Wiley & Sons
Release Date : 2023-03-02
Inverse Heat Conduction written by Hamidreza Najafi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-02 with Technology & Engineering categories.
Inverse Heat Conduction A comprehensive reference on the field of inverse heat conduction problems (IHCPs), now including advanced topics, numerous practical examples, and downloadable MATLAB codes. The First Edition of the classic book Inverse Heat Conduction: III-Posed Problems, published in 1985, has been used as one of the primary references for researchers and professionals working on IHCPs due to its comprehensive scope and dedication to the topic. The Second Edition of the book is a largely revised version of the First Edition with several all-new chapters and significant enhancement of the previous material. Over the past 30 years, the authors of this Second Edition have collaborated on research projects that form the basis for this book, which can serve as an effective textbook for graduate students and as a reliable reference book for professionals. Examples and problems throughout the text reinforce concepts presented. The Second Edition continues emphasis from the First Edition on linear heat conduction problems with revised presentation of Stolz, Function Specification, and Tikhonov Regularization methods, and expands coverage to include Conjugate Gradient Methods and the Singular Value Decomposition method. The Filter Matrix concept is explained and embraced throughout the presentation and allows any of these solution techniques to be represented in a simple explicit linear form. Two direct approaches suitable for non-linear problems, the Adjoint Method and Kalman Filtering, are presented, as well as an adaptation of the Filter Matrix approach applicable to non-linear heat conduction problems. In the Second Edition of Inverse Heat Conduction: III-Posed Problems, readers will find: A comprehensive literature review of IHCP applications in various fields of engineering Exact solutions to several fundamental problems for direct heat conduction problems, the concept of the computational analytical solution, and approximate solution methods for discrete time steps using superposition of exact solutions which form the basis for the IHCP solutions in the text IHCP solution methods and comparison of many of these approaches through a common suite of test problems Filter matrix form of IHCP solution methods and discussion of using filter-form Tikhonov regularization for solving complex IHCPs in multi-layer domain with temperature-dependent material properties Methods and criteria for selection of the optimal degree of regularization in solution of IHCPs Application of the filter concept for solving two-dimensional transient IHCP problems with multiple unknown heat fluxes Estimating the heat transfer coefficient, h, for lumped capacitance body and bodies with temperature gradients Bias in temperature measurements in the IHCP and correcting for temperature measurement bias Inverse Heat Conduction is a must-have resource on the topic for mechanical, aerospace, chemical, biomedical, or metallurgical engineers who are active in the design and analysis of thermal systems within the fields of manufacturing, aerospace, medical, defense, and instrumentation, as well as researchers in the areas of thermal science and computational heat transfer.
Internal Variables In Thermoelasticity
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Author : Arkadi Berezovski
language : en
Publisher: Springer
Release Date : 2017-05-05
Internal Variables In Thermoelasticity written by Arkadi Berezovski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-05 with Science categories.
This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material’s reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables. The cornerstones of this framework are the material representation of continuum mechanics, a weak nonlocality, a non-zero extra entropy flux, and a consecutive employment of the dissipation inequality. Examples of thermoelastic phenomena are provided, accompanied by detailed procedures demonstrating how to simulate them.
Moving Heat Sources In Thermoelasticity
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Author : T. Rożnowski
language : en
Publisher: Ellis Horwood
Release Date : 1989
Moving Heat Sources In Thermoelasticity written by T. Rożnowski and has been published by Ellis Horwood this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.
Theory Of Thermoelasticity With Applications
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Author : J.L. Nowinski
language : en
Publisher: Springer
Release Date : 1978-06-30
Theory Of Thermoelasticity With Applications written by J.L. Nowinski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-06-30 with Science categories.
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
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Author : Reinhard Racke
language : en
Publisher: CRC Press
Release Date : 2000-06-21
Evolution Equations In Thermoelasticity written by Reinhard Racke and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-21 with Mathematics categories.
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.