Thermoelasticity With Finite Wave Speeds

Thermoelasticity with Finite Wave Speeds PDF
Author: Józef Ignaczak
Publisher: Oxford University Press
ISBN: 0199541647
Size: 16.78 MB
Format: PDF
Category : Language Arts & Disciplines
Languages : un
Pages : 413
View: 2212

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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 PDF
Author: D. Iesan
Publisher: Springer Science & Business Media
ISBN: 9401735174
Size: 17.63 MB
Format: PDF, ePub, Docs
Category : Science
Languages : un
Pages : 310
View: 4268

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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.

Numerical Analysis Of One Dimensional Waves In Generalized Thermoelasticity

Numerical Analysis of One dimensional Waves in Generalized Thermoelasticity PDF
Author: Mark J. Gorman
Publisher:
ISBN:
Size: 77.93 MB
Format: PDF, Mobi
Category : Thermoelasticity
Languages : un
Pages : 206
View: 6776

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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.

Thermoelastic Models Of Continua

Thermoelastic Models of Continua PDF
Author: D. Iesan
Publisher: Springer Science & Business Media
ISBN: 1402023103
Size: 53.98 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 304
View: 6140

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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.

Thermoelastic Deformations

Thermoelastic Deformations PDF
Author: Dorin Iesan
Publisher: Springer
ISBN: 9789401735186
Size: 10.34 MB
Format: PDF, Docs
Category : Science
Languages : un
Pages : 310
View: 2111

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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.

Thermal Stresses

Thermal Stresses PDF
Author: Richard B. Hetnarski
Publisher: North Holland
ISBN: 9780444704474
Size: 64.87 MB
Format: PDF, ePub, Mobi
Category : Thermal stresses
Languages : en
Pages : 573
View: 1613

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The publication of this volume, the third in a series, is a major event for those interested in Applied Mechanics in general, and in Thermal Stresses in particular. Many advances in the theory and in applications of thermal stresses have been made in recent years. Modern requirements in design and construction of a multitude of products make necessary the evaluation of stresses and displacements caused by the temperature fields which change in time and space. The number of scientists and engineers specializing in or acquainted with the theory of thermal stresses has been steadily increasing; it is to all of them, and to all interested in this subject, that this series of volumes is dedicated. This unique collection of state-of-the-art articles written by eminent specialists and now being published for the first time in this volume, is intended to stimulate further interest in this field of research and also to be of assistance to practising engineers in their every day work.

Bulletin

Bulletin PDF
Author: Polska Akademia Nauk
Publisher:
ISBN:
Size: 10.46 MB
Format: PDF, Mobi
Category : Technology
Languages : en
Pages :
View: 863

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