Study of a propagating finite crack in functionally graded piezoelectric materials considering dielectric medium effect

International Journal of Solids and Structures

Volumn 46, Issue 6, 2009, Pages 1362-1372

  Yan, Z ^a   Jiang, L Y ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

Dielectric crack; Functionally graded piezoelectric materials (FGPMs); Propagating crack

Indexed keywords

CHEBYSHEV APPROXIMATION; CONTROL THEORY; CRITICAL CURRENT DENSITY (SUPERCONDUCTIVITY); DIELECTRIC MATERIALS; ELECTRIC FIELDS; FOURIER TRANSFORMS; FUNCTIONALLY GRADED MATERIALS; MATERIALS; MEMS; PIEZOELECTRIC DEVICES; PIEZOELECTRIC MATERIALS; PIEZOELECTRICITY;

ANALYTICAL FORMULATIONS; CHEBYSHEV POLYNOMIALS; CRACK MODELS; CRACK OPENING DISPLACEMENTS; CRITICAL STATE; DIELECTRIC CRACK; DIELECTRIC MEDIUMS; DIELECTRIC MODELS; ELECTRIC BOUNDARY CONDITIONS; ELECTRIC DISPLACEMENTS; ELECTROMECHANICAL LOADINGS; FINITE CRACKS; FRACTURE PARAMETERS; FUNCTIONALLY GRADED PIEZOELECTRIC MATERIALS (FGPMS); IN-PLANE LOADINGS; INTENSITY FACTORS; LOWER BOUNDS; MATERIAL PROPERTIES; NUMERICAL SIMULATIONS; PROPAGATING CRACK; SINGULAR INTEGRAL EQUATIONS;

CRACKS;

EID: 59349109762     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.11.005     Document Type: Article

References (44)

1. Barsoum R.G.S. Active materials and adaptive structures. Smart Materials and Structures 6 (1997) 117-122
2. Chiang C.R., and Weng G.J. Nonlinear behavior and critical state of a penny-shaped dielectric crack in a piezoelectric solid. Journal of Applied Mechanics 74 (2007) 852-860
3. Chen Z.T., and Yu S.W. Antiplane Yoffe crack problem in piezoelectric materials. International Journal of Fracture 84 (1997) L41-L45
4. Chen J., Liu Z.X., and Zou Z.Z. The central crack problem for a functionally graded piezoelectric strip. International Journal of Fracture 121 (2003) 81-94
5. Dascalu C., and Homontcovschi D. An intermediate crack model for flaws in piezoelectric solids. Acta Mechanica 154 (2002) 85-100
6. Dascalu C., and Maugin G.A. On the dynamic fracture of piezoelectric materials. Quarterly Journal of Mechanics and Applied Mathematics 48 (1995) 237-255
7. Deeg, W.F.J., 1980. The analysis of dislocation, crack and inclusion problems in piezoelectric solids. PhD thesis, Stanford University.
8. Dunn M.L. The effects of crack face boundary conditions on the fracture mechanics of piezoelectric solids. Engineering Fracture Mechanics 48 (1994) 25-39
9. Gu B., Yu S.W., and Feng X.Q. Transient response of an interface crack between dissimilar piezoelectric layers under mechanical impacts. International Journal of Solids and Structures 39 (2002) 1743-1756
10. Hao T.H., and Shen Z.Y. A new electric boundary condition of electric fracture mechanics and its applications. Engineering Fracture Mechanics 47 (1994) 793-802
11. Hudnut S., Almajid A., and Taya M. Functionally gradient piezoelectric bimorph type actuator. Proc. SPIE 3992 (2000) 376-386
12. Jiang L.Y. The fracture behavior of functionally graded piezoelectric materials with dielectric cracks. International Journal of Fracture 149 (2008) 87-104
13. Koizumi M. FGM activities in Japan. Composites Part B-Engineering 28 (1997) 1-4
14. Li C.Y., and Weng G.J. Antiplane crack problem in functionally graded piezoelectric materials. Journal of Applied Mechanics - Transactions of the ASME 69 (2002) 481-488
15. Li C.Y., and Weng G.J. Yoffe-type moving crack in a functionally graded piezoelectric material. Proceedings of the Royal Society of London, Series A 458 (2002) 381-399
16. Li S., and Mataga P.A. Dynamic crack propagation in piezoelectric materials - Part I. Electrode solution. Journal of the Mechanics and Physics of Solids 44 (1996) 1799-1830
17. Li X.F., Fan T.Y., and Wu X.F. A moving mode-III crack at the interface between two dissimilar piezoelectric materials. International Journal of Engineering Science 38 (2000) 1219-1234
18. Liang J. Scattering of harmonic anti-plane shear stress waves by a crack in functionally graded piezoelectric/piezomagnetic materials. Acta Mechanica Solida Sinica 20 (2007) 75-86
19. Ma L., Wu L.Z., Zhou Z.G., and Guo L.C. Fracture analysis of a functionally graded piezoelectric strip. Composite Structures 69 (2005) 294-300
20. McMeeking R.M. Electrostrictive stresses near crack-like flaws. Journal of Applied Mathematics and Physics 40 (1989) 615-627
21. Meguid S.A., and Wang X.D. Dynamic antiplane behaviour of interacting cracks in a piezoelectric medium. International Journal of Fracture 91 (1998) 391-403
22. Mikhailov G.K., and Parton V.Z. Electromagnetoelasticity (1990), Hemisphere, New York
23. Obata Y., and Noda N. Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally graded material. Journal of Thermal Stresses 17 (1994) 471-487
24. Pak Y.E. Crack extension force in a piezoelectric material. Journal of Applied Mechanics 57 (1990) 647-653
25. Park S.B., and Sun C.T. Effect of electric field on fracture of piezoelectric ceramics. International Journal of Fracture 70 (1995) 203-216
26. Parton V.Z. Fracture mechanics of piezoelectric materials. Acta Astronautica 3 (1976) 671-683
27. Parton V.Z., and Kudryavtsev B.A. Electromagnetoelasticity: Piezoelectrics and Electrically Conductive Solids (1988), Gordon and Breach Science Publishers, New York
28. Ravichandran K.S. Thermal residual stresses in a functionally graded material system. Materials Science and Engineering A 201 (1995) 269-276
29. Shindo, Y., Ozawa, E., 1990. Dynamic analysis of cracked piezoelectric material. In: Hsieh, R.K.T. (Ed.), Mechanical Modeling of New Electromagnetic Materials, pp. 297-304.
30. Shindo Y., Ozawa E., and Nowacki J.P. Singular stress and electric fields of a cracked piezoelectric strip. Applied Electromagnetic Materials 1 (1990) 77-87
31. Sosa H. Plane problems in piezoelectric media with defects. International Journal of Solids and Structures 28 (1991) 491-505
32. Suo Z., Kuo C.M., Barnett D.M., and Willis J.R. Fracture mechanics for piezoelectric ceramics. Journal of Mechanics and Physics of Solids 40 (1992) 739-765
33. Takagi K., Li J.F., Yokoyama S., Watanabe R., Almajid A., and Taya M. Design and fabrication of functionally graded PZT/Pt piezoelectric bimorph actuator. Science and Technology of Advanced Materials 3 (2002) 217-224
34. Wang X.D., and Jiang L.Y. Fracture behavior of cracks in piezoelectric media with electromechanically coupled boundary conditions. Proceedings of the Royal Society of London, Series A 458 (2002) 2545-2560
35. Wang X.D., and Jiang L.Y. The nonlinear fracture behaviour of an arbitrarily oriented dielectric crack in piezoelectric materials. Acta Mechanica 172 (2004) 195-210
36. Wang X.D., and Meguid S.A. Effect of electromechanical coupling on the dynamic interaction of cracks in piezoelectric materials. Acta Mechanica 143 (2000) 1-15
37. Winzer S.R., Shanker N., and Ritter A.P. Designing cofired multilayer electrostrictive actuators for reliability. Journal of the American Ceramic Society 72 (1989) 2246-2257
38. Wu C.M., Kahn M., and Moy W. Piezoelectric ceramics with functional gradients: a new application in material design. Journal of the American Ceramic Society 79 (1996) 809-812
39. Xu X.L., and Rajapakse R.K.N.D. On a plane crack in piezoelectric solids. International Journal of Solids and Structures 38 (2001) 7643-7658
40. Yong H.D., and Zhou Y.H. Transient anti-plane crack problem for two bonded functionally graded piezoelectric materials. Archive of Applied Mechanics 76 (2006) 497-509
41. Zhang T.Y., and Tong P. Fracture mechanics for a mode-III crack in a piezoelectric materials. International Journal of Solids and Structure 33 (1996) 343-359
42. Zhang T.Y., Qian C.F., and Tong P. Linear electro-elastic analysis of a cavity or a crack in a piezoelectric material. International Journal of Solids and Structures 35 (1998) 2121-2149
43. Zhou Z., and Wang B. Two parallel symmetry permeable cracks in functionally graded piezoelectric/piezomagnetic materials under anti-plane shear loading. International Journal of Solids and Structures 41 (2004) 4407-4422
44. Zhu X., Xu J., and Meng Z. Microdisplacement characteristics and microstructures of functionally graded piezoelectric ceramic actuator. Materials and Design 21 (2000) 561-566