PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Powiadomienia systemowe
  • Sesja wygasła!
  • Sesja wygasła!
Tytuł artykułu

Basic solution for three parallel non-symmetric permeable mode-Ill cracks in a functionally graded piezoelectric material plate

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The behavior of three parallel permeable cracks with different lengths in a functionally graded piezoelectric material plane subjected to anti-plane shear stress loading was studied by the Schmidt method. The problem was formulated through the Fourier transform into three pairs of dual integral equations. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded in a series of Jacobi polynomials. The results show that the stress and the electric displacement intensity factors at the crack tips depend on the lengths, spacing of the cracks and the material parameters. It is also revealed that the crack shielding effect is present in functionally graded piezoelectric materials.
Rocznik
Strony
137--165
Opis fizyczny
Bibliogr. 39 poz.
Twórcy
autor
  • Center for Composite Materials and Structures Harbin Institute of Technology P.O. Box 3010, No.2 Yikuang Street Harbin 150001, P.R.China, liangj@hit.edu.cn
Bibliografia
  • 1. H.G. BEOM, S.N. ATLURI, Near-tip fields and intensity factors for interfacial cracks in dissimilar anisotropic piezoelectric media, International Journal of Fracture, 75, 163-183, 1996.
  • 2. H. GAO, T.Y. ZHANG, P. TONG, Local and global energy rates for an elastically yielded crack in piezoelectric ceramics, Journal of Mechanics and Physics of Solids, 45, 491-510, 1997.
  • 3. XUE-Ll HAN, TZUCHIANG WANG, Interacting multiple cracks in piezoelectric materials, International Journal of Solids and Structures, 36, 4183-4202, 1999.
  • 4. K. NARITA, Y. SHINDO, K. WATANABE, Anti-plane shear crack in a piezoelectric layered to dissimilar half-spaces, JSME International Journal, Ser. A, 42, 66-72, 1999.
  • 5. S.W. Yu, Z.T. CHEN, Transient response of a cracked infinite piezoelectric strip under anti-plane impact, Fatigue of Engineering Materials and Structures, 21, 1381-1388, 1998.
  • 6. T.Y. ZHANG, J.E. HACK, Mode-Ill cracks in piezoelectric materials, Journal of Applied Physics, 71, 5865-5870, 1992.
  • 7. K. TAKAGI, J.F. Li, S. YOKOYAMA, R. WATANABE, Fabrication and evaluation of PZT/Pt piezoelectric composites and functionally graded actuators, Journal of the European Ceramic Society, 10, 1577-1583, 2003.
  • 8. D.R. JlN, Functionally graded PZT/ZnO piezoelectric composites, Journal of Materials Science Letters, 22, 971-974, 2003.
  • 9. G.J. WENG, C.Y. Li, Anti-plane crack problem in functionally graded piezoelectric materials, Journal of Applied Mechanics, 69, No. 4, 481-488, 2002.
  • 10. S. UEDA, Transient response of a center crack in a functionally graded piezoelectric strip under electromechanical impact, Engineering Fracture Mechanics, 73, 1455-1471, 2006.
  • 11. J. CHEN, Z.X. Liu, Z.Z. Zou, Electriomechanical impact of a crack in a functionally graded piezoelectric medium, Theoretical and Applied Fracture Mechanics, 39, 47-60, 2003.
  • 12. B. JlN, Z. ZHONG, A moving mode-Ill crack in functionally graded piezoelectric material: permeable problem, Mechanics Research Communications, 29, 217-224, 2002.
  • 13. B.L. WANG, A mode-Ill crack in functionally graded piezoelectric materials, Mechanics Research Communications, 30, 151-159, 2003.
  • 14. SOON MAN KWON, Electrical nonlinear anti-plane shear crack in a functionally graded piezoelectric strip, International Journal of Solids and Structures, 40, 5649-5667, 2003.
  • 15. L.Y. JIANG, The fracture behavior of functionally graded piezoelectric materials with dielectric cracks, International Journal of Fracture, 149, 87-104, 2008.
  • 16. Z.G. ZHOU, Z.T. CHEN, Basic solution of a Mode-I limited-permeable crack in functionally graded piezoelectric/piezomagnetic materials, International Journal of Solids and Structures, 45, No. 7-8, 2265-2296, 2008.
  • 17. J. SLADEK, V. SLADEK, C.H. ZHANG, P. SOLEK, E. PAN, Evaluation of fracture parameters in continuously nonhomogeneous piezoelectric solids, International Journal of Fracture, 145, 313-326, 2007.
  • 18. B.N. RAO, M. KUNA, Interaction integrals for fracture analysis of functionally graded piezoelectric materials, International Journal of Solids and Structures, 45, 5237-5257, 2008.
  • 19. Z.G. ZHOU, B. WANG, The behavior of two parallel symmetry permeable interface cracks in a piezoelectric layer bonded to two half piezoelectric materials planes, International Journal of Solids and Structures, 39, 17, 4485-4500, 2002.
  • 20. Z.G. ZHOU, B. WANG, The behavior of two parallel symmetric permeable cracks in piezoelectric materials, Applied Mathematics and Mechanics, 23, 1357-1366, 2002.
  • 21. Z.G. ZHOU, S.Y. Du, B. WANG, Dynamic behavior of two parallel symmetric permeable cracks in a piezoelectric material strip, Acta Mechanica Solida Sinica, 15, 1, 294-302, 2002.
  • 22. J.L. SUN, Z.G. ZHOU, B. WrANG, Dynamic behavior of two unequal parallel permeable interface cracks in a piezoelectric layer bonded to two half piezoelectric materials planes, Applied Mathematics and Mechanics, 26, 2, 160-170, 2005.
  • 23. J.L. SUN, Z.G. ZHOU, B. WANG, Dynamic behavior of unequal parallel permeable interface multi-cracks in a piezoelectric layer bonded to two piezoelectric materials half-planes, European Journal of Mechanics and Solids, 23, 6, 993-1005, 2004.
  • 24. Z.G. ZHOU, B. WANG, Two parallel symmetric permeable cracks in functionally graded piezoelectric/piezomagnetic materials under anti-plane shear loading, International Journal of Solids and Structures, 41, 4407-4422, 2004.
  • 25. Z.H. TONG, C.P. JIANG, S.H. Lo, Y.K. CHEUNG, A closed form solution to the antiplane problem of doubly periodic cracks of unequal size in piezoelectric materials, Mechanics of Materials, 38, 269-286, 2006.
  • 26. J. CHEN, Z.X. LlU, On the dynamic behavior of a functionally graded piezoelectric strip with periodic cracks vertical to the boundary, International Journal of Solids and Structures, 42, 3133-3146, 2005.
  • 27. B.L. WANG, J.C. HAN, Multiple surface cracks in a piezoelectric layer bonded to an elastic substrate under transient electromechanical loads, Mechanics of Materials, 39, 291-304, 2007.
  • 28. J.J. HAN, Y.H. CHEN, Multiple parallel cracks interaction problem in piezoelectric ceramics, International Journal of Solids and Structures, 36, 3375-3390, 1999.
  • 29. P.M. MORSE, H. FESHBACH, Methods of Theoretical Physics, McGraw-Hill, New York, 1, 828-930, 1958.
  • 30. A.K. Son, D.N. FANG, K.L. LEE, Analysis of a bi-piezoelectric ceramic layer with an in-terfacial crack subjected to anti-plane shear and in-plane electric loading, European Journal of Mechanics. A/Solid, 19, 6, 961-977, 2000.
  • 31. F. DELALE, F. ERDOGAN, On the mechanical modeling of the interfacial region in bonded half-planes, ASME Journal of Applied Mechanics, 55, 317-324, 1988.
  • 32. H. FlLDlS, O.S. YAHSI, The axisymmetric crack problem in a non-homogeneous interfacial region between homogeneous half-spaces, International Journal of Fracture, 78, 139-163, 1996.
  • 33. L.C. Guo, N. NODA, Modeling method for a crack problem of functionally graded materials with arbitrary properties—piecewise-exponential model, International Journal of Solids and Structures, 44, 6768-6790, 2007.
  • 34. I.S. GRADSHTEYN, I.M. RYZHIK, Table of Integral, Series and Products, Academic Press, New York, 1035-1037, 1980.
  • 35. A. ERDELYI, Tables of Integral Transforms, Vol. 1, McGraw-Hill, New York. 34-89, 1954.
  • 36. S. ITOU, Three dimensional waves propagation in a cracked elastic solid, Journal of Applied Mechanics, 45, 5, 807-811, 1978.
  • 37. Z.G. ZHOU, Y.Y. BAI, X.W. ZHANG, Two collinear Griffith cracks subjected to uniform tension in infinitely long strip, International Journal of Solids and Structures, 36, 36, 5597-5609, 1999.
  • 38. M. RATWANI, G.D. GUPTA, Interaction between parallel cracks in layered composites, International Journal of Solids and Structures, 10, 7, 701-708, 1974.
  • 39. N.I. SHBEEB, W.K. BINIENDA, Analysis of an interface crack for a functionally graded strip sandwiched between two homogeneous layers of finite thickness, Engineering Fracture Mechanics, 64 3, 693-720, 1999.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT7-0016-0003
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.