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Adaptive finite element modeling of stationary and propagating cracks in piezoelectric structures

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Języki publikacji
EN
Abstrakty
EN
In the present paper, simulation results of stationary and propagating cracks in piezoelectric test specimens are presented. The simulations have been carried out with a self-developed adaptive finite element computer program. Two specimen configurations are investigated, i.e. the compact tension and three-point bending specimens. In the analysis of the propagating crack in the compact tension specimen, the fracture toughness change due to the change of the electric field in the test domain is taken into account. To prove the importance of the fracture toughness anisotropy assumption, crack growth simulations for the three-point bending specimens are reported.
Rocznik
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599--619
Opis fizyczny
Bibliogr. 18 poz.
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Bibliografia
  • 1. A.M. Alshoaibi, M.S.A. Hadi, A.K. Ariffin, An adaptive finite element procedure for crack propagation analysis, Journal of Zhejiang University Science A, 8, 228–236, 2007.
  • 2. H. Balke, J. Drescher, G. Kemmer, Investigation of the mechanical strain energy release rate with respect to a fracture criterion for piezoelectric ceramics, International Journal of Fracture, 89, L59–L64, 1998.
  • 3. L. Banks-Sills, Y. Motola, L. Shemesh, The m-integral for calculating intensity factors of an impermeable crack in a piezoelectric material., Engineering Fracture Mechanics, 75, 901–925, 2008.
  • 4. T. Belytschko, T. Black, Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering, 45, 601–620, 1999.
  • 5. M. Enderlein, A. Ricoeur, M. Kuna, Finite element techniques for dynamic crack analysis, International Journal of Fracture, 134, 191–208, 2005.
  • 6. Ł. Jański, M. Scherzer, P. Steinhorst, M. Kuna, Adaptive finite element computation of dielectric and mechanical intensity factors in piezoelectrics with impermeable cracks, International Journal for Numerical Methods in Engineering, 81, 1492–1513, 2010.
  • 7. Ł. Jański, P. Steinhorst, A. Meyer, Adaptive finite element computer program with preconditioned iterative algebraic solver for crack propagation simulations in piezo electric structures, Computational Mechanics, submitted.
  • 8. M. Kuna, Finite element analyses of cracks in piezoelectric structures: a survey, Archives of Applied Mechanics, 76, 725–745, 2006.
  • 9. M. Kuna, Fracture mechanics of piezoelectric materials - where are we right now?, Engineering Fracture Mechanics, 77, 309–326, 2010.
  • 10. M. Kuna, A. Ricoeur [Eds.], Proceedings of the IUTAM Symposium on Multiscale Fatigue, Damage and Fracture in Smart Materials, Springer, Heidelberg, 2011.
  • 11. S.B. Park, C.T. Sun, Effect of electric field on fracture of piezoelectric ceramics, International Journal of Fracture, 70, 203–216, 1995.
  • 12. G.G. Pisarenko, V.M. Chushko, S.P. Kovalev, Anisotropy of fracture toughness of piezoelectric ceramics, Journal of the American Ceramic Society, 68, 259–265, 1985.
  • 13. Q.-H. Qin, Fracture Mechanics of Piezoelectric Materials, WIT Press, Southampton, 2001.
  • 14. F. Rabold, A. Meyer, M. Scherzer, Efficient finite element simulation of crack propagation using adaptive iterative solvers, Communications in Numerical Methods in Engineering, 22, 93–108, 2006.
  • 15. C.T. Sun, S.B. Park, Fracture criteria for piezoelectric ceramics, Journal of the American Ceramic Society, 78, 1475–1480, 1995.
  • 16. K. Uchino, Materials issues in design and performance of piezoelectric actuators: An overview, Acta Materialia, 48, 3745–3753, 1998.
  • 17. P. Wriggers, Nichtlineare Finite-Elemente-Methoden, Springer-Verlag, Berlin, 2001.
  • 18. X.-L. Xu, R.K.N.D. Rajapakse, A theoretical study of branched cracks in piezoelectrics, Acta Materialia, 48, 1865–1882, 2000.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0009-0059
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