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Meinhard Kuna � Andreas RicoeurEditors
of Fatigue, Damageand Fracture in SmartMaterials
Proceedings of the IUTAM Symposium onMultiscale Modelling of Fatigue, Damageand Fracture in Smart Materials, held inFreiberg, Germany, September 1–4, 2009
123
IUTAM Symposiumon Multiscale Modelling
EditorsMeinhard KunaTU Bergakademie FreibergInst. Mechanik und FluiddynamikLampadiusstr. 409596 FreibergGermanyMeinhard.Kuna@imfd.tu-freiberg.de
Andreas RicoeurUniversität KasselInst. MechanikMönchebergstr. 734109 KasselGermanyricoeur@uni-kassel.de
ISSN 1875-3507 e-ISSN 1875-3493ISBN 978-90-481-9886-3 e-ISBN 978-90-481-9887-0DOI 10.1007/978-90-481-9887-0Springer Dordrecht Heidelberg London New York
Library of Congress Control Number: 2010938713
c� Springer Science+Business Media B.V. 2011No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or byany means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without writtenpermission from the Publisher, with the exception of any material supplied specifically for the purposeof being entered and executed on a computer system, for exclusive use by the purchaser of the work.
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Springer is part of Springer Science+Business Media (www.springer.com)
Meinhard.Kuna@imfd.tu-freiberg.dericoeur@uni-kassel.dewww.springer.com
Contents
A Fracture Criterion for Piezoelectric Material . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1Leslie Banks-Sills and Yael Motola
What Do We Know About Surface Charges on Cracksin Ferroelectric Ceramics? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9Andrea R. Engert, Frank Felten, Hans Jelitto,and Gerold A. Schneider
Effects of Electric Field and Poling on Fatigue Behaviorof PZT Ceramics with Single-Edge Crack by Three-PointBending . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21Yasuhide Shindo and Fumio Narita
Shape Memory Alloys: Material Modeling and Device FiniteElement Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33Ferdinando Auricchio, Michele Conti, Simone Morganti,and Alessandro Reali
Effective Computational Methods for the Modelingof Ferroelectroelastic Hysteresis Behavior . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43Artem S. Semenov, Albrecht C. Liskowsky, Peter Neumeister,and Herbert Balke
Finite Element Simulation of the Non-remanent StrainingFerroelectric Material Behaviour Based on the ElectrostaticScalar Potential: Convergence and Stability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55Stephan Roth, Peter Neumeister, Artem S. Semenov,and Herbert Balke
Constitutive Behavior of Nano-particle Ferroelectric Ceramics . . . . . . . . . . . . . . 67Li Yu, Shouwen Yu, and Dietmar Gross
xi
xii Contents
An Optimization-Based Computational Modelfor Polycrystalline Ferroelastics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79Faxin Li
Modeling of Domain Structure Evolution in FerroelectricMaterials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89Ralf Müller, Bai Xiang Xu, David Schrade, and Dietmar Gross
Micromechanical Simulation of Ferroelectric DomainSwitching at Cracks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .101Qun Li, Marco Enderlein, and Meinhard Kuna
A Phenomenological Constitutive Model for FerroelectricCeramics and Ferromagnetic Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .111Sven Klinkel and Konrad Linnemann
The Concept of Material Forces in NonlinearElectro-elastostatics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .123Duc Khoi Vu and Paul Steinmann
Permeable Interfacial Crack in Electrostrictive Materials . . . . . . . . . . . . . . . . . . . .133Cun-Fa Gao and Yiu-Wing Mai
Some Numerical Studies with X-FEM for CrackedPiezoelectric Media . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .141Éric Béchet and Meinhard Kuna
Singularity Analysis of Electro-mechanical Fields in AngularlyInhomogeneous Piezoelectric Composites Wedges . . . . . . . . . . . . . . . . . . . . . . . . . . . . .153Jian-Shan Wang, Xiaoqiao He, and Qing-Hua Qin
Crack Propagation Simulations in Piezoelectric Structureswith an Efficient Adaptive Finite Element Tool . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .163Łukasz Jański, Peter Steinhorst, and Meinhard Kuna
Periodic Set of the Interface Cracks with LimitedElectric Permeability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .175V.V. Loboda and S.V. Kozinov
Interfacial Delamination of PZT Thin Films . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .189Fulin Shang, Yabin Yan, and Takayuki Kitamura
Mechanical Behavior of Thin Film Comprised of SculpturedNano-elements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .197Takayuki Kitamura, Takashi Sumigawa, and Taisuke Sueda
Contents xiii
Propagation of SAW and PSAW in a SmartAlN/Diamond/”-TiAl Structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .207L.M. Gao, Ch. Zhang, Z. Zhong, C.-P. Fritzen, X. Jiang,H.-J. Christ, and U. Pietsch
Experimental Investigation and Theoretical Modelingof Piezoelectric Actuators Used in Fuel Injectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .219M.S. Senousy, R.K.N.D. Rajapakse, and M. Gadala
Analytical Homogenizations of Piezoceramic d15 ShearMacro-fibre Composites . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .229Ayech Benjeddou and Mohammed Al-Ajmi
Influence of the Load Dependent Material Propertieson the Performance of Multilayer Piezoelectric Actuators . . . . . . . . . . . . . . . . . . . .243Hannes Grünbichler, Josef Kreith, Raúl Bermejo,Clemens Krautgasser, and Peter Supancic
Roles of Micro-cracking and Phase Transition on ElectricFatigue for [001]-Oriented Pb.Mg1=3Nb2=3/O3-PbTiO3 SingleCrystals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .255F. Fang, W. Yang, and X. Luo
Multiscale Modeling of Electro-mechanically CoupledMaterials: Homogenization Procedure and Computationof Overall Moduli . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .265Jörg Schröder and Marc-André Keip
A Boundary Element Method Coupled to Phase Fieldto Compute Ferroelectric Domains in Complex Geometries . . . . . . . . . . . . . . . . . .277Kaushik Dayal and Kaushik Bhattacharya
Low Energy Periodic Microstructure in FerroelectricSingle Crystals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .287Nien-Ti Tsou, Ingo Münch, and John E. Huber
1.jpg2.jpg3.jpg4.jpg5.jpg6.jpg7.jpg8.jpg9.jpgpap-24cd.pdfIUTAM-front-matter-m.pdfMultiscale Modelling of Fatigue, Damage and Fracture in Smart MaterialsPrefaceContentsList of ParticipantsScientific Program
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