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
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IUTAM Symposiumon Multiscale Modelling
EditorsMeinhard KunaTU Bergakademie FreibergInst. Mechanik und FluiddynamikLampadiusstr. 409596 [email protected]
Andreas RicoeurUniversität KasselInst. MechanikMönchebergstr. 734109 [email protected]
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
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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
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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
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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
