Series Editor Professor Brian Derby,Professor of Materials Science Manchester Materials Science Centre,Grosvenor Street,Manchester,MI 7HS,UK Other titles published in this series: Fusion Bonding of Polymer Composites C.Ageorges and L.Ye Composite Materials D.D.L.Chung Titanium G.Lutjering and J.C.Williams Corrosion of Metals H.Kaesche Corrosion and Protection E.Bardal Intelligent Macromolecules for Smart Devices L.Dai Microstructure of Steels and Cast Irons M.Durand-Charre Phase Diagrams and Heterogeneous Equilibria B.Predel,M.Hoch and M.Pool Failure in Fibre Polymer Laminates M.Knops Publication due January 2005 Materials for Information Technology E.Zschech,C.Whelan and T.Mikolajick Publication due March 2005 Gallium Nitride Processing for Electronics,Sensors and Spintronics S.J.Pearton,C.R.Abernathy and F.Ren Publication due March 2005 Thermoelectricity J.P.Heremans,G.Chen and M.S.Dresselhaus Publication due August 2005 Computer Modelling of Sintering at Different Length Scales I.Pan Publication due October 2005 Computational Quantum Mechanics for Materials Engineers L.Vitos Publication due January 2006 Fuel Cell Technology N.Sammes Publication due January 2006
Series Editor Professor Brian Derby, Professor of Materials Science Manchester Materials Science Centre, Grosvenor Street, Manchester, M1 7HS, UK Other titles published in this series: Fusion Bonding of Polymer Composites C. Ageorges and L. Ye Composite Materials D.D.L. Chung Titanium G. Lu¨tjering and J.C. Williams Corrosion of Metals H. Kaesche Corrosion and Protection E. Bardal Intelligent Macromolecules for Smart Devices L. Dai Microstructure of Steels and Cast Irons M. Durand-Charre Phase Diagrams and Heterogeneous Equilibria B. Predel, M. Hoch and M. Pool Failure in Fibre Polymer Laminates M. Knops Publication due January 2005 Materials for Information Technology E. Zschech, C. Whelan and T. Mikolajick Publication due March 2005 Gallium Nitride Processing for Electronics, Sensors and Spintronics S.J. Pearton, C.R. Abernathy and F. Ren Publication due March 2005 Thermoelectricity J.P. Heremans, G. Chen and M.S. Dresselhaus Publication due August 2005 Computer Modelling of Sintering at Different Length Scales J. Pan Publication due October 2005 Computational Quantum Mechanics for Materials Engineers L. Vitos Publication due January 2006 Fuel Cell Technology N. Sammes Publication due January 2006
M.M.Kaminski Computational Mechanics of Composite Materials Sensitivity,Randomness and Multiscale Behaviour ②Springer
M.M. Kamin´ski Computational Mechanics of Composite Materials Sensitivity, Randomness and Multiscale Behaviour
M.M.Kaminski,MSc,PhD Division of Mechanics of Materials,Technical University of Lodz, Al.Politechniki 6,93-590 Lodz,Poland British Library Cataloguing in Publication Data Kaminiski,M.M. Computational mechanics of composite materials Sensitivity,randomness and multiscale behaviour.- (Engineering materials and processes) 1.Composite materials-Mathematical models 2.Mechanics, Applied-Data processing I.Title 620.001518 ISBN1852334274 Library of Congress Cataloging-in-Publication Data Kaminiski,M.M.(Marcin M.),1969- Computational mechanics of composite materials:sensitivity,randomness,and Multiscale behaviour M.M.Kaminski p.cm.-(Engineering materials and processes,ISSN 1619-0181) Includes bibliographical references and index. ISBN 1-85233-427-4 (alk.Paper) 1.Composite materials-Mechanical properties-Mathematical models.I.Title.II. Series. TA418.9.C6K3452002 621.1'892-dc21 2002033327 Apart from any fair dealing for the purposes of research or private study,or criticism or review,as permitted under the Copyright,Designs and Patents Act 1988,this publication may only be repro- duced,stored or transmitted,in any form or by any means,with the prior permission in writing of the publishers,or in the case of reprographic reproduction in accordance with the terms of licences issued by the Copyright Licensing Agency.Enquiries concerning reproduction outside those terms should be sent to the publishers. Engineering Materials and Processes ISSN 1619-0181 ISBN1-85233-427-4 Springer Science+Business Media springeronline.com Springer-Verlag London Limited 2005 Printed in the United States of America Whilst we have made considerable efforts to contact all holders of copyright material contained in this book,we have failed to locate some of these.Should holders wish to contact the Publisher,we will be happy to come to some arrangement with them. The use of registered names,trademarks,etc.in this publication does not imply,even in the absence of a specific statement,that such names are exempt from the relevant laws and regulations and therefore free for general use. The publisher makes no representation,express or implied,with regard to the accuracy of the infor- mation contained in this book and cannot accept any legal responsibility or liability for any errors or omissions that may be made. Typesetting:Electronic text files prepared by author 69/3830-543210 Printed on acid-free paper SPIN 10791506
M.M. Kamin´ski, MSc, PhD Division of Mechanics of Materials, Technical University of Ło´dz, Al. Politechniki 6, 93 - 590 Ło´dz, Poland British Library Cataloguing in Publication Data Kamin´ski, M.M. Computational mechanics of composite materials : Sensitivity, randomness and multiscale behaviour. — (Engineering materials and processes) 1. Composite materials — Mathematical models 2. Mechanics, Applied — Data processing I. Title 620′.001518 ISBN 1852334274 Library of Congress Cataloging-in-Publication Data Kamin´ski, M. M. (Marcin M.), 1969– Computational mechanics of composite materials: sensitivity, randomness, and Multiscale behaviour / M.M. Kamin´ski p. cm.—(Engineering materials and processes, ISSN 1619-0181) Includes bibliographical references and index. ISBN 1-85233-427-4 (alk. Paper) 1. Composite materials—Mechanical properties—Mathematical models. I. Title. II. Series. TA418.9.C6 K345 2002 621.1′892—dc21 2002033327 Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms of licences issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers. Engineering Materials and Processes ISSN 1619-0181 ISBN 1-85233-427-4 Springer Science+Business Media springeronline.com © Springer-Verlag London Limited 2005 Printed in the United States of America Whilst we have made considerable efforts to contact all holders of copyright material contained in this book, we have failed to locate some of these. Should holders wish to contact the Publisher, we will be happy to come to some arrangement with them. The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant laws and regulations and therefore free for general use. The publisher makes no representation, express or implied, with regard to the accuracy of the information contained in this book and cannot accept any legal responsibility or liability for any errors or omissions that may be made. Typesetting: Electronic text files prepared by author 69/3830-543210 Printed on acid-free paper SPIN 10791506
Acknowledgements Chapter 2 includes material,Civil-Comp Press,2001 previously published in M. Kaminski,"Homogenization Method in Stochastic Finite Element Analysis of some 1D Composite Structures",in Proc.8h Int.Conf.on Civil Structural Engineering Computational Technology,B.H.V.Topping,ed.,(paper no 60),Civil-Comp Press,Stirling, United Kingdom,2001.This material is reprinted with permission from Civil-Comp Press, Stirling,United Kingdom. Chapter 5 includes material,Civil-Comp Press,2001 previously published in L.Figiel,M. Kaminski,"Mechanical and Thermal Fatigue of Curved Composite Beams",in Proc.8 Int. Conf.on Civil Struct.Engineering Computational Technology,B.H.V.Topping,ed., (paper no 61),Civil-Comp Press,Stirling,United Kingdom,2001.This material is reprinted with permission from Civil-Comp Press,Stirling,United Kingdom. Chapter 5 includes material,Civil-Comp Press,2002 previously published in L.Figiel,M. Kaminski,"Numerical Analysis of Fatigue Damage Evolution in Composite Pipe Joints",in Proc.6 Int.Conf.on Computational Structures Technology,B.H.V.Topping and Z. Bittnar,eds.,(paper no 134),Civil-Comp Press,Stirling,United Kingdom,2002.This material is reprinted with permission from Civil-Comp Press,Stirling,United Kingdom. Chapter 7 includes material,Civil-Comp Press,2002 previously published in M. Kaminski,"Multiresolutional Homogenization Technique in Transient Heat Transfer for Unidirectional Composites",in Proc.6th Int.Conf.on Computational Structures Technology,B.H.V.Topping and Z.Bittnar,eds.,(paper no 138),Civil-Comp Press, Stirling,United Kingdom,2002.This material is reprinted with permission from Civil- Comp Press,Stirling,United Kingdom. Figures 2.38-2.41 are reproduced from M.Kaminski,M.Kleiber,Stochastic finite element method in random non-homogeneous media,in Numerical Methods in Engineering '96,J.A. Desideri et al.,eds.pp.35-41,1996,John Wiley Sons Limited.Reproduced with permission. Figures 2.98-2.119 are reproduced from M.Kaminski,M.Kleiber,Numerical homogenization of n-component composites including stochastic interface defects,Int.J. Num.Meth.Engrg.,47:1001-1027,2000,John Wiley Sons Limited.Reproduced with permission. Figures 7.16-7.21 and 7.54 -7.60 are reproduced from M.Kaminski,Stochastic perturbation approach to wavelet-based multiresolutional analysis,Num.Linear Algebra with Applications,11(4):355-370,2004,John Wiley Sons Limited.Reproduced with permission. Figures 2.65 and 2.66 reprinted from International Journal of Engineering Science,Vol 38. Kaminski,M.,Homogenized properties of n-components composites,pp.405-427, Copyright (2000),with permission from Elsevier. Figures 2.4-2.13 reprinted from International Journal of Solids and Structures,Vol 33. Kaminski,M.and Kleiber,M.,Stochastic structural interface defects in composite materials, pp.3035-3056,Copyright(1996),with permission from Elsevier. Figures 2.1 -2.3 and 2.30-2.40 reprinted from Computers and Structures,Vol 78, Kaminski,M.and Kleiber,M.,Perturbation-based stochastic finite element method for homogenization of two-component elastic composites,pp.811-826,Copyright(2000),with permission from Elsevier
Acknowledgements Chapter 2 includes material, © Civil-Comp Press, 2001 previously published in M. KamiĔski, “Homogenization Method in Stochastic Finite Element Analysis of some 1D Composite Structures”, in Proc. 8th Int. Conf. on Civil & Structural Engineering Computational Technology, B.H.V. Topping, ed., (paper no 60), Civil-Comp Press, Stirling, United Kingdom, 2001. This material is reprinted with permission from Civil-Comp Press, Stirling, United Kingdom. Chapter 5 includes material, © Civil-Comp Press, 2001 previously published in à. Figiel, M. KamiĔski, “Mechanical and Thermal Fatigue of Curved Composite Beams”, in Proc. 8th Int. Conf. on Civil & Struct. Engineering Computational Technology, B.H.V. Topping, ed., (paper no 61), Civil-Comp Press, Stirling, United Kingdom, 2001. This material is reprinted with permission from Civil-Comp Press, Stirling, United Kingdom. Chapter 5 includes material, © Civil-Comp Press, 2002 previously published in à. Figiel, M. KamiĔski, “Numerical Analysis of Fatigue Damage Evolution in Composite Pipe Joints”, in Proc. 6th Int. Conf. on Computational Structures Technology, B.H.V. Topping and Z. Bittnar, eds., (paper no 134), Civil-Comp Press, Stirling, United Kingdom, 2002. This material is reprinted with permission from Civil-Comp Press, Stirling, United Kingdom. Chapter 7 includes material, © Civil-Comp Press, 2002 previously published in M. KamiĔski, “Multiresolutional Homogenization Technique in Transient Heat Transfer for Unidirectional Composites”, in Proc. 6th Int. Conf. on Computational Structures Technology, B.H.V. Topping and Z. Bittnar, eds., (paper no 138), Civil-Comp Press, Stirling, United Kingdom, 2002. This material is reprinted with permission from CivilComp Press, Stirling, United Kingdom. Figures 2.38 – 2.41 are reproduced from M. KamiĔski, M. Kleiber, Stochastic finite element method in random non-homogeneous media, in Numerical Methods in Engineering ’96, J.A. Desideri et al., eds. pp. 35 – 41, 1996, © John Wiley & Sons Limited. Reproduced with permission. Figures 2.98 – 2.119 are reproduced from M. KamiĔski, M. Kleiber, Numerical homogenization of n-component composites including stochastic interface defects, Int. J. Num. Meth. Engrg., 47: 1001-1027, 2000, © John Wiley & Sons Limited. Reproduced with permission. Figures 7.16 – 7.21 and 7.54 – 7.60 are reproduced from M. KamiĔski, Stochastic perturbation approach to wavelet-based multiresolutional analysis, Num. Linear Algebra with Applications, 11(4): 355-370, 2004, © John Wiley & Sons Limited. Reproduced with permission. Figures 2.65 and 2.66 reprinted from International Journal of Engineering Science, Vol 38, KamiĔski, M., Homogenized properties of n-components composites, pp. 405-427, Copyright (2000), with permission from Elsevier. Figures 2.4 – 2.13 reprinted from International Journal of Solids and Structures, Vol 33, KamiĔski, M. and Kleiber, M., Stochastic structural interface defects in composite materials, pp. 3035-3056, Copyright (1996), with permission from Elsevier. Figures 2.1 – 2.3 and 2.30 – 2.40 reprinted from Computers and Structures, Vol 78, KamiĔski, M. and Kleiber, M., Perturbation-based stochastic finite element method for homogenization of two-component elastic composites, pp. 811-826, Copyright (2000), with permission from Elsevier
Acknowledgements Figures 4.1-4.9 reprinted from International Journal of Engineering Science,Vol 41, Kaminski,M.,Homogenization of transient heat transfer problems for some composite materials,pp.1-29,Copyright(2003),with permission from Elsevier. Figures 2.67 -2.69,2.77,2.78,2.88,2.89 and 4.17-4.52 reprinted from Computer Methods in Applied Mechanics and Engineering,Vol 192,Kaminski,M.,Sensitivity analysis of homogenized characteristics of some elastic composites,pp.1973-2005 Copyright(2003),with permission from Elsevier. Figures 3.1 -3.12 reprinted from Computational Materials Science,Vol 22,Figiel,L. Kaminski,M.,Effective elastoplastic properties of the periodic composites,pp.221-239, Copyright(2001),with permission from Elsevier. Figures 2.129-2.140 reprinted from Computational Materials Science,Vol 11,Kaminski, M.,Probabilistic bounds on effective elastic moduli for the superconducting coils,pp.252- 260,Copyright(1998),with permission from Elsevier. Figures 5.1-5.4 and 5.66-5.73 reprinted from International Journal of Fatigue,Vol 24, Kaminski,M.,On probabilistic fatigue models for composite materials,pp.477-495, Copyright(2002),with permission from Elsevier. Figures 7.2-7.15 are reprinted from Computational Materials Science,Vol.27,Kaminski M.,Wavelet-based homogenization of unidirectional multiscale composites,pp.613-622, Copyright(2001),with permission from Elsevier. Figures 7.30-7.43 and 7.46-7.53 reprinted from Computer Methods in Applied,Mechanics and Engineering,Kaminski,M.,Homogenization-based finite element analysis of unidirectional composites by classical and multiresolutional techniques,in press,Copyright (2005),with permission from Elsevier. Figure 2.49 reprinted from Kaminski,M.,Stochastic computational mechanics of composite materials",in Advances in Composite Materials and Structures VIl,de Wilde,W.P.,Blain, W.R.and Brebbia,C.A.,eds.,pp.219-228,Copyright(2000)WIT Press,Ashurst Lodge, Ashurst,Southampton,UK.Used with permission. Figures 2.42 and 4.10-4.16 reprinted from Archives of Applied Mechanics,Material sensitivity analysis in homogenization of the linear elastic composites,Kaminski,M., 71(10):679-694,2001,copyright Springer-Verlag Heidelberg.Used with permission. Figure 2.143 is reproduced from Kaminski,M.,Stochastic finite element in homogenization of linear elastic composites.Arch.Civil Engrg.3(XLVID):291-325,2001.Copyright property of the Polish Academy of Science.Used with permission. Figures in Chapter 6 are reproduced from Kaminski,M.,Stochastic reliability in contact problems for spherical particle reinforced composites.Journal of Theoretical and Applied Mechanics,3(39):539-562,2001.Used with permission. Figure 7.1 appeared in Kaminski,M.,Multiresolutional wavelet-based homogenization of random composites in Proceedings of the European Conference on Computational Mechanics Cracow,26-29 June 2001
vi Acknowledgements Figures 4.1 – 4.9 reprinted from International Journal of Engineering Science, Vol 41, KamiĔski, M., Homogenization of transient heat transfer problems for some composite materials, pp. 1-29, Copyright (2003), with permission from Elsevier. Figures 2.67 – 2.69, 2.77, 2.78, 2.88, 2.89 and 4.17 – 4.52 reprinted from Computer Methods in Applied Mechanics and Engineering, Vol 192, KamiĔski, M., Sensitivity analysis of homogenized characteristics of some elastic composites, pp. 1973-2005, Copyright (2003), with permission from Elsevier. Figures 3.1 – 3.12 reprinted from Computational Materials Science, Vol 22, Figiel, à., KamiĔski, M., Effective elastoplastic properties of the periodic composites, pp. 221-239, Copyright (2001), with permission from Elsevier. Figures 2.129 – 2.140 reprinted from Computational Materials Science, Vol 11, KamiĔski, M., Probabilistic bounds on effective elastic moduli for the superconducting coils, pp. 252- 260, Copyright (1998), with permission from Elsevier. Figures 5.1 – 5.4 and 5.66 –5.73 reprinted from International Journal of Fatigue, Vol 24, KamiĔski, M., On probabilistic fatigue models for composite materials, pp. 477-495, Copyright (2002), with permission from Elsevier. Figures 7.2 – 7.15 are reprinted from Computational Materials Science, Vol. 27, KamiĔski M., Wavelet-based homogenization of unidirectional multiscale composites, pp. 613-622, Copyright (2001), with permission from Elsevier. Figures 7.30-7.43 and 7.46-7.53 reprinted from Computer Methods in Applied, Mechanics and Engineering, KamiĔski, M., Homogenization-based finite element analysis of unidirectional composites by classical and multiresolutional techniques, in press, Copyright (2005), with permission from Elsevier. Figure 2.49 reprinted from KamiĔski, M., Stochastic computational mechanics of composite materials”, in Advances in Composite Materials and Structures VII, de Wilde, W.P., Blain, W.R. and Brebbia, C.A., eds., pp. 219 – 228, Copyright (2000) WIT Press, Ashurst Lodge, Ashurst, Southampton, UK. Used with permission. Figures 2.42 and 4.10 – 4.16 reprinted from Archives of Applied Mechanics, Material sensitivity analysis in homogenization of the linear elastic composites, KamiĔski, M., 71(10): 679 – 694, 2001, copyright Springer-Verlag Heidelberg. Used with permission. Figure 2.143 is reproduced from KamiĔski, M., Stochastic finite element in homogenization of linear elastic composites. Arch. Civil Engrg. 3(XLVII): 291-325, 2001. Copyright property of the Polish Academy of Science. Used with permission. Figures in Chapter 6 are reproduced from KamiĔski, M., Stochastic reliability in contact problems for spherical particle reinforced composites. Journal of Theoretical and Applied Mechanics, 3(39): 539-562, 2001. Used with permission. Figure 7.1 appeared in KamiĔski, M., Multiresolutional wavelet-based homogenization of random composites in Proceedings of the European Conference on Computational Mechanics Cracow, 26 - 29 June 2001