Advances in Computational Coupling and Contact ...

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Advances in Computational Coupling and Contact Mechanics

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Computational and Experimental Methods in Structures ISSN: 2044-9283

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Series Editor:  Ferri M. H. Aliabadi (Imperial College London, UK) This series will include books on state-of-the-art developments in computational and experimental methods in structures, and as such it will comprise several volumes covering the latest developments. Each volume will consist of singleauthored work or several chapters written by the leading researchers in the field. The aim will be to provide the fundamental concepts of experimental and computational methods as well as their relevance to real world problems. The scope of the series covers the entire spectrum of structures in engineering. As such it will cover both classical topics in mechanics, as well as emerging scientific and engineering disciplines, such as: smart structures, nanoscience and nanotechnology; NEMS and MEMS; micro- and nano-device modelling; functional and smart material systems. Published: Vol. 11 Advances in Computational Coupling and Contact Mechanics edited by Luis Rodríguez-Tembleque (Universidad de Sevilla, Spain) and M. H. Ferri Aliabadi (Imperial College London, UK) Vol. 10

Vibration-Based Techniques for Damage Detection and Localization in Engineering Structures edited by Ali S. Nobari (Imperial College London, UK & Amirkabir University of Technology, Iran) and M. H. Ferri Aliabadi (Imperial College London, UK)

Vol. 9

Buckling and Postbuckling Structures II: Experimental, Analytical and Numerical Studies edited by B. G. Falzon (Queen’s University Belfast, UK) and M. H. Ferri Aliabadi (Imperial College London, UK)

Vol. 8 Structural Health Monitoring for Advanced Composite Structures edited by M. H. Aliabadi and Z. Sharif Khodaei (Imperial College London, UK) Vol. 7 Active Control of Aircraft Cabin Noise by I. Dimino (CIRA, The Italian Aerospace Research Centre, Italy) and M. H. Aliabadi (Imperial College London, UK) More information on this series can also be found at http://www.worldscientific.com/series/cems

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Computational and Experimental Methods in Structures – Vol. 11

Advances in Computational Coupling and Contact Mechanics Editors

Luis Rodríguez-Tembleque Universidad de Sevilla, Spain

M H Ferri Aliabadi Imperial College London, UK

World Scientific NEW JERSEY

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LONDON

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SINGAPORE

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BEIJING

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SHANGHAI

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HONG KONG

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TAIPEI

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CHENNAI

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TOKYO

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Published by World Scientific Publishing Europe Ltd. 57 Shelton Street, Covent Garden, London WC2H 9HE Head office: 5 Toh Tuck Link, Singapore 596224

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USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601

Library of Congress Cataloging-in-Publication Data Names: Rodríguez-Tembleque, Luis, editor. | Aliabadi, M. H., editor. Title: Advances in computational coupling and contact mechanics / edited by Luis Rodríguez-Tembleque (Universidad de Sevilla, Spain), M.H. Ferri Aliabadi (Imperial College London, UK). Description: [Hackensack?] New Jersey : World Scientific, 2018. | Series: Computational and experimental methods in structures ; volume 11 | Includes bibliographical references. Identifiers: LCCN 2017053360 | ISBN 9781786344779 (hc : alk. paper) Subjects: LCSH: Contact mechanics--Mathematics. | Joints (Engineering)--Mathematical models. Classification: LCC TA353 .A37 2018 | DDC 620.1/05--dc23 LC record available at https://lccn.loc.gov/2017053360

British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library.

Copyright © 2018 by World Scientific Publishing Europe Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher.

For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher.

Desk Editors: Chandrima Maitra/Jennifer Brough/Shi Ying Koe Typeset by Stallion Press Email: [email protected] Printed in Singapore

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About the Editors L. Rodr´ıguez-Tembleque is an Associate Professor in the Department Continuum Mechanics and Theory of Structures at the Escuela T´ecnica Superior de Ingenier´ıa (ETSI) at the Universidad de Sevilla, Spain. His research interests are focused on Computational Mechanics (based on the Finite Element Method and the Boundary Element Method), with emphasis on computational contact mechanics (including friction, rolling and wear simulation), substructure coupling techniques using Lagrange multipliers and integrity problems in advanced multifield materials (i.e. piezoelectric and magnetoelectroelastic materials) or fiber reinforced materials (i.e. carbon nanotube reinforced composites). He has co-edited books on wear and contact mechanics and he has published several chapters and papers in scientific journals and conference proceedings. M. H. Ferri Aliabadi is a Professor of Aerospace Structures and Head of Aerostructures, Department of Aeronautics, Imperial College, London (UK) and has served as a Professor of Computational Mechanics and Director of Research, Department of Engineering, Queen Mary, University of London (UK); Reader and Head of Damage Tolerance Division, Wessex Institute of Technology, Southampton; Director of the Aerospace Engineering Programme, Queen Mary, London; and is currently Editor of the International Journal for Structural Integrity and Durability, Editor in Chief of Computational and Experimental Methods in Structures, and Editor of Electronic Journal for Boundary Elements. He has published numerous books, chapters and papers in technical journals and conference proceedings and obtained several grants from different institutions.

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b2530   International Strategic Relations and China’s National Security: World at the Crossroads

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Preface This volume presents recent advances in the field of computational coupling and contact mechanics with particular emphasis on the numerical methodologies necessary to solve advanced engineering applications. As such, the book covers formulations based on the finite element method (FEM) and their variants (e.g. isogeometric analysis or standard and generalized high-order FEM: hp-FEM and GFEM, respectively), the boundary element method (BEM), the material point method (MPM) or the recently proposed finite block method (FBM). A number of topics are addressed, such as computational contact modelling in large deformation, high-order mortar-based methods, treatment of nonmatching interfaces in partitioned fluid–structure interaction (FSI) problems, thermoelastic frictional contact or multifield magneto-electro-elastic contact modelling, indentation of functionally graded media (FGM), cohesive-frictional contact for microstructural analysis or recent approaches of MPM with applications on impact or fragmentation and comminution processes. Contributions from leading experts in these fields and active researchers give a detailed overview of different modern numerical schemes that can be considered by main numerical methodologies to simulate interaction problems in continuum mechanics. All chapters are self-contained and can be read independently. This book is written for Ph.D. students in computational mechanics but serves also as an introduction into recent numerical interaction techniques for researchers and practicing engineers. The first chapter provides a detailed introduction to 3D frictional mortar contact formulation for nonmatching interfaces coupling techniques, explained in the context of finite strains with inelastic material behaviour. Chapter 2 presents a higher-order mortar-based finite element approximation for 2D standard and generalized high-order FEM, i.e. hp-FEM and GFEM, respectively. The numerical treatment of large deformation contact problems by isogeometric analysis vii

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Preface

is presented in Chapter 3. Chapter 4 presents the dynamic non-matching contact interaction of incompressible fluids with flexible structures. More particular methodologies in the context of advanced engineering applications are presented in Chapters 5–10. Chapter 5 proposes an Eulerian-based thermo-flexible multi-body approach in order to simulate ring testing of disc brake systems. Chapter 6 presents the recently proposed FBM to study the frictional indentation response of functionally graded materials. Chapter 7 introduces the MPM and gives a state-of-the-art review of the coupled finite element material point (CFEMP) method for large deformation problems such as contact and impact problems. New approaches and applications of MPM to model complex behaviours such as fragmentation and comminution are presented in Chapter 8. A cohesive-frictional grain-boundary element technique for the analysis of degradation and failure in polycrystalline materials is reviewed in Chapter 9. Finally, an interface BEM contact formulation for multifield piezoelectric and magneto-electro-elastic materials is presented in Chapter 10. The editors are grateful to all the contributors and all the staff at World Scientific Publishing who provided all the encouragement, help and support during the process of producing this book. Luis Rodr´ıguez-Tembleque M. H. Ferri Aliabadi

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List of Contributors T. Doca Department of Mechanical Engineering, Faculty of Technology University of Brasilia, Campus Darcy Ribeiro, 70910-900 Brasilia, DF, Brazil [email protected] F. M. A. Pires Department of Mechanical Engineering, Faculty of Engineering University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal [email protected] A. P. C. Dias Department of Integrated Systems, Faculty of Mechanical Engineering University of Campinas, 13083-860, Campinas, SP, Brazil [email protected] S. P. B. Proenca Structural Engineering Department, S˜ao Carlos School of Engineering University of S˜ ao Paulo, Av Trabalhador S˜ aocarlense, 400, CEP 13566-590, S˜ao Carlos, SP, Brazil [email protected] M. L. Bittencourt Department of Integrated Systems, Faculty of Mechanical Engineering University of Campinas, 13083-860, Campinas, SP, Brazil [email protected]

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J. Kopaˇ cka Institute of Thermomechanics of the CAS v. v. i. Dolejˇskova 1402/5, 182 00 Praha 8, Czech Republic [email protected] D. Gabriel Institute of Thermomechanics of the CAS v. v. i. Dolejˇskova 1402/5, 182 00 Praha 8, Czech Republic [email protected] R. Kolman Institute of Thermomechanics of the CAS v. v. i. Dolejˇskova 1402/5, 182 00 Praha 8, Czech Republic [email protected] J. Pleˇ sek Institute of Thermomechanics of the CAS v. v. i. Dolejˇskova 1402/5, 182 00 Praha 8, Czech Republic [email protected] J. A. Gonz´ alez Escuela T´ecnica Superior de Ingenier´ıa, Universidad de Sevilla Camino de los Descubrimientos s/n, E-41092, Sevilla, Spain [email protected] K. C. Park Department of Aerospace Engineering Sciences and Center for Aerospace Structures University of Colorado Boulder, CO 80309, USA [email protected] N. Str¨ omberg ¨ Orebro University, Department of Mechanical Engineering ¨ SE–71 82 Orebro, Sweden [email protected] J. Li School of Mathematics and Statistics Changsha University of Technology, 410004, China [email protected]

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J. Jin School of Communication and Transportation Engineering Changsha University of Technology, 410004, China J. J. Yang School of Communication and Transportation Engineering Changsha University of Technology, 410004, China [email protected] T. Huang School of Communication and Transportation Engineering Changsha University of Technology, 410004, China [email protected] P. H. Wen School of Engineering and Materials Science Queen Mary University of London, London, E1 4NS, UK [email protected] Y. Lian Northwestern University, Mechanical Department 2145 Sheridan Road, IL 60208, USA [email protected] X. Zhang Tsinghua University, School of Aerospace Beijing 100084, China [email protected] M. A. Homel Atmospheric, Earth and Energy Division, Lawrence Livermore National Laboratory (LLNL), Livermore, CA 94550, USA [email protected] E. B. Herbold Atmospheric, Earth and Energy Division, Lawrence Livermore National Laboratory (LLNL), Livermore, CA 94550, USA [email protected]

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I. Benedetti Dipartimento di Ingegneria Civile, Ambientale Aerospaziale, dei Materiali DICAM Universit` a degli Studi di Palermo Viale delle Scienze, 90128, Palermo, Italy [email protected] L. Rodr´ıguez-Tembleque Escuela T´ecnica Superior de Ingenier´ıa, Universidad de Sevilla Camino de los Descubrimientos s/n Sevilla E-41092, Spain [email protected] F. C. Buroni Escuela T´ecnica Superior de Ingenier´ıa, Universidad de Sevilla Camino de los Descubrimientos s/n Sevilla E-41092, Spain [email protected] A. S´ aez Escuela T´ecnica Superior de Ingenier´ıa, Universidad de Sevilla Camino de los Descubrimientos s/n Sevilla E-41092, Spain [email protected] M. H. Ferri Aliabadi Department of Aeronautics, Faculty of Engineering Imperial College of London, South Kensington Campus London SW7 2AZ, UK [email protected]

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Contents

About the Editors

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Preface

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List of Contributors

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Chapter 1.

Frictional Mortar Formulation for Large Inelastic Deformation Problems

1

T. Doca and F. M. A. Pires Chapter 2.

Standard and Generalized High-order Mortar-based Finite Elements in Computational Contact Mechanics

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A. P. C. Dias, S. P. B. Proenca and M. L. Bittencourt Chapter 3.

A Large Deformation Frictionless Contact Treatment in NURBS-based Isogeometric Analysis

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J. Kopaˇcka, D. Gabriel, R. Kolman and J. Pleˇsek Chapter 4.

Treatment of Non-matching Interfaces in Partitioned Fluid–Structure Interaction Problems J. A. Gonz´ alez and K. C. Park xiii

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Chapter 5.

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An Eulerian-based Thermo-flexible Multi-body Approach for Simulating Rig Testing of Disc Brakes

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N. Str¨ omberg Chapter 6.

Nonlinear Analysis With Functionally Graded Materials by Finite Block Method

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J. Li, J. Jin, J. J. Yang, T. Huang and P. H. Wen Chapter 7.

A Coupled Finite Element Material Point Method for Large Deformation Problems

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Y. Lian and X. Zhang Chapter 8.

Fracture and Contact in the Material Point Method: New Approaches and Applications

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M. A. Homel and E. B. Herbold Chapter 9.

A Cohesive-frictional Grain-boundary Technique for Microstructural Analysis of Polycrystalline Materials

327

I. Benedetti Chapter 10. Piezoelectric and Magneto-electro-elastic Frictional Contact Modelling

357

L. Rodr´ıguez-Tembleque, F. C. Buroni, A. S´ aez and M. H. Ferri Aliabadi Index

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