Heat Conduction in Thermoelastic Materials
One of the main properties of thermoelastic bodies is their ability to transport the energy in the form of the heat flux. As we have already seen during the analysis of the second law of thermodynamics this property is connected with the appearance of the
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AND
LECTURES
. No.
262
RECENT DEVELOPMENTS IN THERMOMECHANICS OF SOLIDS
EDITED BY
G. LEBON UN1VERS ITY OF LIEGE
P. PERZYNA POLiSH ACADEMY OF SCIENCES
SPRINGER· VERLAG
,
WIEN
GMBH
SCIENCES
This work is subject to copyrigtlt. Ali rigtlts are reaerved, whether the whole or part of the material i.e concerned specifically thoae of translation, reprinting, re-use of illustrations, broadcuting, reproduction by photocopying machine or similar means, and storage in data banks.
©
1980 by Springer- Vcrlag Wien
ISBN 978-3-211-81597-7 ISBN 978-3-7091-3351-4 (eBook) DOI 10.1007/978-3-7091-3351-4
PREFACE
The main objective of the contributions contained in this volume is to present the thermodynamic foundations of the response of elastic and dissipative materials. In particular, the governing equations of non linear thermoelasticity and thermoinelasticity as well as the basic properties of these equations as resulting from the primary assumptions of continuum thermodynamics are derived. The global formulation of thermodynamics of continua is discussed. A special attention is paid to the properties of the balance equations on a singular surface. The possible forms of the second law of thermodynamics are discussed within the framework ofaxiomatic thermodynamics. Furthermore, the thermodynamiG requirements for different kinds of materials are examined. The secondary purpose of the Course was to discuss some connections between rational and classical formulations of the principles of thermodynamics. The present volume contains the texts of three (of the four delivered) Course lectures. I hope it will constitute a useful source of information on the problems presented and discussed in Udine. Special thanks are due to the International Centre for Mechanical Sciences whose direction encouraged us to prepare and to deliver the lectures.
P. Perzyna
Udine, August 1980.
List of Contributors
G. Lebon, Liege University, Department of Mechanics, B-4000 Sart Tilman, Liege (Belgium)
P. Perzyna, Institute of ~undamental Technological Research, Polish Academy of Sciences, ul. Swietokrzyska 21, Warsaw (Po land) K.Wilmanski, Institute of fundamental Technological Research, Polish Academy of Sciences, ul. Swietokrzyska 21, Warsaw (Poland).
CONTENTS Page Thermodynamic Foundations oi Thermoelasticity by K. Wilmanski Preface . . . . . . . . . . . . . . . . . . . . . . . 1. The Notion of a Thermodynamic Process in Continua 2. Balance Laws . . . . . . . . . . . . . . . . 3. Thermoelastic Materials . . . . . . . . . . . 4. Heat Conduction in Thermoelastic Materials 5. Waves in Thermoelastic Materials References Contents . . . . . . . . . . . . . . Thermodynamics oi Dissipative Materials by P. Perzyna Preface . . . . . . . . . . . . . . . . . . Contents . . . . . . . . . . . . . . . . . . . . . . . . . 1. Global Formulation of Thermodynamics of Continua 2. General Material Structure . . . . . . . . 3. Internal State Variable Material Structure 4. Rate Type Material Structure . . . . . . . 5. Isomorphie Material Structures Osotherm
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