Continuum Thermomechanics: The Art And Science Of Modelling Material Behaviour

CONTINUUM THERMOMECHANICS SOLID MECHANICS AND ITS APPLICATIONS Volume 76 Series Editor: G.M.L. GLADWELL Department of Civil Engineering University of Waterloo Waterloo, Ontario, Canada N2L 3GI Aims and Scope of the Series The fundamental questions arising in mechanics are: Why?, How?, and How much? The aim of this series is to provide lucid accounts written by authoritative researchers giving vision and insight in answering these questions on the subject of mechanics as it relates to solids. The scope of the series covers the entire spectrum of solid mechanics. Thus it includes the foundation of mechanics; variational formulations; computational mechanics; statics, kinematics and dynamics of rigid and elastic bodies: vibrations of solids and structures; dynamical systems and chaos; the theories of elasticity, plasticity and viscoelasticity; composite materials; rods, beams, shells and membranes; structural control and stability; soils, rocks and geomechanics; fracture; tribology; experimental mechanics; biomechanics and machine design. The median level of presentation is the first year graduate student. Some texts are monographs defining the current state of the field; others are accessible to final year undergraduates; but essentially the emphasis is on readability and clarity. Continuum Thermomechanics The Art and Science of Modelling Material Behaviour Paul Germain’s Anniversary Volume Edited by GÉRARD A. MAUGIN (co-ordinator) Laboratoire de Modélisation en Mécanique, Université Pierre et Marie Curie, Paris, France RAYMONDE DROUOT Centre de Mécanique de Milieux Continus, Université de Versailles-St Quentin, Versailles, France and FRANÇOIS SIDOROFF Laboratoire de Tribologie et Dynamique des Systèmes, Ecole Centrale de Lyon, Ecully, France KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW eBook ISBN: Print ISBN: 0-306-46946-4 0-792-36407-4 ©2002 Kluwer Academic Publishers New York, Boston, Dordrecht, London, Moscow All rights reserved No part of this eBook may be reproduced or transmitted in any form or by any means, electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America Visit Kluwer Online at: and Kluwer's eBookstore at: http://www.kluweronline.com http://www.ebooks.kluweronline.com CONTENTS Foreword My Discovery of Mechanics P.Germain A Selection of Scientific Works and Publications by Paul Germain ix 1 25 Contributions Double Diffusive Aspects of the Convection in Moist-saturated Air P.A.Bois and A. Kubicki Application of the Theory of Cosserat Media to the Elasto-plastic Behaviour of Polycrystals 29 43 M.Brocato, A.Ehrlacher and P. Tamagny From Clausius to Finite Elasticity, via Bridgman, Eckart and Ziegler L.C.J. Brun 55 On Viscous Fluid Flow Near a Moving Crack H. D. Bui, C. Guyon and B. Thomas 63 Elastoplasticity with Aging in Aluminium Alloys 75 G.Cailletaud, C.Depoid,D.Massinon, E.Nicouleau-Bourles The Application of the Irreversible Thermodynamics to the Development of Constitutive Equations J.L. Chaboche On Micromechanics of Martensite Transformation in SMA and TRIP Steels M.Cherkaoui, M.Berveiller and E.Patoor 87 101 Modelling of Coupled Effects of Damage by Microcracking and Friction In Closed Cracks A. Dragon and D. Halm 113 Structural Plastic Microbuckling and Compressive Strength of Long-fibre Composite Materials S.Drapier, J.C.Grandidier, JC.Jochum and M.Potier-Ferry 125 A New Method of Optimisation for Composite Structures G.Duvaut and G. Terrel 137 Material Evolution