Thermoelasticity
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Author | : Witold Nowacki |
Publisher | : Elsevier |
Total Pages | : 579 |
Release | : 2013-10-22 |
Genre | : Science |
ISBN | : 1483162486 |
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.
Author | : W. Nowacki |
Publisher | : Springer Science & Business Media |
Total Pages | : 462 |
Release | : 1975-12-31 |
Genre | : Science |
ISBN | : 9789028600454 |
Author | : Reinhard Racke |
Publisher | : CRC Press |
Total Pages | : 322 |
Release | : 2000-06-21 |
Genre | : Mathematics |
ISBN | : 9781584882152 |
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.
Author | : Józef Ignaczak |
Publisher | : Oxford University Press |
Total Pages | : 432 |
Release | : 2010 |
Genre | : Language Arts & Disciplines |
ISBN | : 0199541647 |
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.
Author | : Yuriy Povstenko |
Publisher | : Springer Nature |
Total Pages | : 457 |
Release | : |
Genre | : |
ISBN | : 3031645871 |
Author | : Arkadi Berezovski |
Publisher | : Springer |
Total Pages | : 222 |
Release | : 2017-05-05 |
Genre | : Science |
ISBN | : 3319569341 |
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.
Author | : Clifford Truesdell |
Publisher | : Springer |
Total Pages | : 755 |
Release | : 2013-12-17 |
Genre | : Technology & Engineering |
ISBN | : 3662397765 |
Author | : William A. Day |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2012-01-16 |
Genre | : Science |
ISBN | : 9781461395577 |
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.
Author | : D. Iesan |
Publisher | : Springer Science & Business Media |
Total Pages | : 309 |
Release | : 2013-03-19 |
Genre | : Science |
ISBN | : 1402023103 |
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.
Author | : Jan Awrejcewicz |
Publisher | : Springer Science & Business Media |
Total Pages | : 432 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 3642556779 |
From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration