Abstract
The first part of the publication concerns the special program πCRACK for crack propagation simulations in piezoelectric structures. In the kernel of the program, the piezoelectric boundary value problem is solved with the adaptive finite element method. The solution is applied, inter alia, to the computation of the dielectric and mechanical intensity factors with the interaction integral technique. The intensity factors are used in the fracture criterion of the maximum modified hoop stress intensity factor. The criterion takes into account the anisotropic behaviour of the fracture toughness of piezoelectric ceramics. In the second part of the publication, computation results obtained with the program πCRACK are presented. Thereby crack propagation starts in one of the crack tips of a straight crack located in an electromechanically loaded plate. The influence of both the isotropic and anisotropic fracture toughness is considered and analysed.
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Acknowledgements
The support of this work by the German Research Foundation under grants KU929/12-2 and ME1224/5-2 is gratefully acknowledged.
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Jański, Ł., Steinhorst, P., Kuna, M. (2011). Crack Propagation Simulations in Piezoelectric Structures with an Efficient Adaptive Finite Element Tool. In: Kuna, M., Ricoeur, A. (eds) IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials. IUTAM Bookseries, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9887-0_16
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DOI: https://doi.org/10.1007/978-90-481-9887-0_16
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