IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials

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319 стр. Series Editors G.M.L. Gladwell, University of Waterloo, Waterloo, Ontario, Canada R. Moreau, INPG, Grenoble, France Editorial Board J. Engelbrecht, Institute of Cybernetics, Tallinn, Estonia L.B. Freund, Brown University, Providence, USA A. Kluwick, Technische Universitt, Vienna, Austria H.K. Moffatt, University of Cambridge, Cambridge, UK N. Olhoff, Aalborg University, Aalborg, Denmark K. Tsutomu, IIDS, Tokyo, Japan D. van Campen, Technical University Eindhoven, Eindhoven, The Netherlands Z. Zheng, Chinese Academy of Sciences, Beijing, China Aims and Scope of the Series The IUTAM Bookseries publishes the proceedings of IUTAM symposia under the auspices of the IUTAM Board.Editors Meinhard Kuna TU Bergakademie Freiberg Inst. Mechanik und Fluiddynamik Lampadiusstr. 4 09596 Freiberg Germany [email protected] Andreas Ricoeur Universit¨at Kassel Inst. Mechanik M¨onchebergstr. 7 34109 Kassel Germany [email protected] ISSN 1875-3507 e-ISSN 1875-3493 ISBN 978-90-481-9886-3 e-ISBN 978-90-481-9887-0 DOI 10.1007/978-90-481-9887-0 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2010938713Proceedings of the IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials, held in Freiberg, Germany, September 1–4, 2009 A fracture criterion for piezoelectric ceramics is proposed which is based upon the energy release rate and two phase angles determined from the ratio between the intensity factors. It is assumed that the crack plane is at an angle to the poling direction within a symmetry plane of the body. The special cases of a crack perpendicular and parallel to the poling direction are presented. This criterion was implemented with experimental results from the literature in which the crack faces were perpendicular to the poling direction and the applied electric field. Excellent agreement was found between the fracture curve and the experimental results.