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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.


Thermoelastic Deformations

Thermoelastic Deformations
Author: D. Iesan
Publisher: Springer Science & Business Media
Total Pages: 317
Release: 2013-06-29
Genre: Science
ISBN: 9401735174

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The theory of thermoelasticity studies the interaction between thermal and mechan ical fields in elastic bodies. This theory is of interest both for the mathematical and technical point of view. Intense interest has been shown recently in this field owing to the great practical importance of dynamical effects in aeronautics, nu clear reactors, and its potential importance in cryogenic applications. This work is concerned mainly with basic problems of the theory of thermoelasticity. Ther moelasticity of polar materials and the theories of thermoelasticity with finite wave speeds are not considered here. The reader interested in these subjects will find a full account in the works of Nowacki [280], Chandrasekharaiah [60] and Ignaczak [195]. Our purpose in this work is to present a systematic treatment of some results established in the theory of thermoelasticity. On the whole, the subject matter is directed towards recent developments. Chapter 1 is concerned mainly with the development of the fundamental equa tions of the theory of thermoelasticity. The kinematics and primitive concepts associated with the basic principles are developed and emphasized only to the ex tent that they are needed in our treatment of the subject. Chapter 2 is devoted to a study of linear thermoelastic deformations for prestressed bodies. We have at tempted to isolate those conceptual and mathematical difficulties which arise over and above those inherent in the problems concerned with unstressed bodies.


Fractional Thermoelasticity

Fractional Thermoelasticity
Author: Yuriy Povstenko
Publisher: Springer Nature
Total Pages: 457
Release:
Genre:
ISBN: 3031645871

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Numerical Analysis of One-dimensional Waves in Generalized Thermoelasticity

Numerical Analysis of One-dimensional Waves in Generalized Thermoelasticity
Author: Mark J. Gorman
Publisher:
Total Pages: 206
Release: 1993
Genre: Thermoelasticity
ISBN:

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"Classical thermoelasticity theory is based on Fourier's Law of heat conduction, which, when combined with the other fundamental field equations, leads to coupled hyperbolic-parabolic governing equations. These equations imply that thermal effects are to be felt instantaneously, far away from the external thermomechanieal load. Therefore, this theory admits infinite speeds of propagation of thermoelastic disturbances. This paradox becomes especially evident in problems involving very short time intervals, or high rates. of heat flux. Since infinite wave speeds are physically unrealistic in some situations, and since experiments have shown the existence of wavetype thermoelastic interactions, like in the observation of thermal pulses in dielectric crystals, "generalized" thermoelasticity theories have been developed. This thesis concentrates on one generalized thermoelasticity theory, proposed by Green and Lindsay, in which a generalized thermoelastic coupling constant, e, and two relaxation times, t0 and t, account for finite speed thermoelastic waves . A numerical analysis of an exact analytical solution, involving an instantaneous plane source of heat in an infinite body, is performed. The analysis reveals two finite speed wave fronts for each of the four fields: displacement, stress, temperature, and heat flux. The results are complimentary to previous analysis, and improve upon them, because a large range of parameters is involved, and the exact solution to the problem has been used."--Abstract.


Applied Mechanics Reviews

Applied Mechanics Reviews
Author:
Publisher:
Total Pages: 952
Release: 1975
Genre: Mechanics, Applied
ISBN:

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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.


Internal Variables in Thermoelasticity

Internal Variables in Thermoelasticity
Author: Arkadi Berezovski
Publisher: Springer
Total Pages: 222
Release: 2017-05-05
Genre: Science
ISBN: 3319569341

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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.


Thermal Stresses in Severe Environments

Thermal Stresses in Severe Environments
Author: D. P. Hasselman
Publisher: Springer Science & Business Media
Total Pages: 727
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461331560

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This volume of Thermal Stresses in ~~terials and Structures in Severe Thermal Environments constitutes the proceedings of an international conference held at Virginia Polytechnic Institute and State University in Blacksburg, Virginia, USA, on ~1arch 19, 20 and 21, 1980. The purpose of the conference was to bring together experts in the areas of heat transfer, theoretical and applied mechanics amd materials science and engineering, with a.common interest in the highly interdisciplinary nature of the thermal stress problem. It is the hope of the program chairmen that the resulting interac tion has led to a greater understanding of the underlying prin ciples of the thermal stress problem and to an improved design and selection of materials for structures subjected to high thermal stresses. The program chairmen gratefully acknowledge the financial assistance for the conference provided by the Department of Energy, the National Science Foundation, the Army Research Office and the Office of Naval Research as well as the Departments of Engineering Science and Mechanics and Materials Engineering at Virginia Poly technic Institute and State University. A number of professional societies also provided mailing lists for the program at no nominal cost The Associate Director, Mr. R. J. Harshberger and his staff at the Conference Center for Continuing Education at VPI and SU should be recognized especially for their coordination of the con ference activities, lunches and banquet. Provost John D. Wilson gave a most enlightening and provocative after-dinner speech.


Waves And Stability In Continuous Media - Proceedings Of The Vii Conference

Waves And Stability In Continuous Media - Proceedings Of The Vii Conference
Author: Salvatore Rionero
Publisher: World Scientific
Total Pages: 449
Release: 1994-10-24
Genre:
ISBN: 9814550450

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This volume presents an up-to-date overview of some of the most important topics in waves and stability in continuous media. The topics are: Discontinuity and Shock Waves; Linear and Non-Linear Stability in Fluid Dynamics; Kinetic Theories and Comparison with Continuum Models; Propagation and Non-Equilibrium Thermodynamics; and Numerical Applications.


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.