Transient analysis of a mode-III crack propagating in a piezoelectric medium

International Journal of Solids and Structures

Volumn 41, Issue 22-23, 2004, Pages 6197-6214

  Ing, Yi Shyong ^a   Wang, Mau Jung ^a  

^a TAMKANG UNIVERSITY   (Taiwan)

Author keywords

Dynamic fracture; Piezoelectric material; Propagating crack; Surface wave

Indexed keywords

BOUNDARY CONDITIONS; CRACK PROPAGATION; ELASTICITY; FRACTURE MECHANICS; LAPLACE TRANSFORMS; LOADS (FORCES); STRESS ANALYSIS; STRESS INTENSITY FACTORS; SURFACE WAVES;

DYNAMIC FRACTURES; ELECTRIC DISPLACEMENT INTENSITY FACTORS; ENERGY RELEASE RATES;

PIEZOELECTRIC MATERIALS;

EID: 4544325249     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.05.019     Document Type: Article

References (67)

1. Achenbach J.D. Brittle and ductile extension of a finite crack by a horizontally polarized shear wave. International Journal of Engineering Science. 8:1970;947-966.
2. Achenbach J.D. Extension of a crack by a shear wave. Zeitschrift fur Angewandte Mathematik und Physik (ZAMP). 21:1970;887-900.
3. Achenbach J.D. Wave Propagation in Elastic Solids. 1973;Elsevier, New York.
4. Bleustein J.L. A new surface wave in piezoelectric materials. Applied Physics Letters. 13:1968;412-413.
5. Cagniard L. Reflexion et Refraction des Ondes Seismiques Progressives. 1939;Gauthiers-Villars, Paris. Translated into English and revised by Flinn, E.A., Dix, C.H., 1962. Reflection and Refraction of Progressive Seismic Waves. McGraw-Hill, New York.
6. Cagniard L. Reflexion et Refraction des Ondes Seismiques Progressives. 1939;Gauthiers-Villars, Paris. Translated into English and revised by Flinn, E.A., Dix, C.H., 1962. Reflection and Refraction of Progressive Seismic Waves. McGraw-Hill, New York.
7. Chen Z.T. Crack tip field of an infinite piezoelectric strip under anti-plane impact. Mechanics Research Communications. 25:1998;313-319.
8. Chen Z.T., Karihaloo B.L. Dynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact. International Journal of Solids and Structures. 36:1999;5125-5133.
9. Chen Z.T., Yu S.W. Antiplane Yoffe crack problem in piezoelectric materials. International Journal of Fracture. 84:1997;L41-L45.
10. Chen Z.T., Karihaloo B.L., Yu S.W. A Griffith crack moving along the interface of two dissimilar piezoelectric materials. International Journal of Fracture. 91:1998;197-203.
11. Freund L.B. Crack propagation in an elastic solid subjected to general loading - I. Constant rate of extension. Journal of the Mechanics and Physics of Solids. 20:1972;129-140.
12. Freund L.B. Crack propagation in an elastic solid subjected to general loading - II. Non-uniform rate of extension. Journal of the Mechanics and Physics of Solids. 20:1972;141-152.
13. Freund L.B. Energy flux into the tip of an extending crack in an elastic solid. Journal of Elasticity. 2:1972;341-349.
14. Freund L.B. Crack propagation in an elastic solid subjected to general loading - III. Stress wave loading. Journal of the Mechanics and Physics of Solids. 21:1973;47-61.
15. Freund L.B. Crack propagation in an elastic solid subjected to general loading - IV. Obliquely incident stress pulse. Journal of the Mechanics and Physics of Solids. 22:1974;137-146.
16. Gao C.F., Fan W.X. A general solution for the plane problem in piezoelectric media with collinear cracks. International Journal of Engineering Science. 37:1999;347-363.
17. Gao C.F., Fan W.X. Exact solutions for the inplane problem in piezoelectric materials with an elliptic or a crack. International Journal of Solids and Structures. 36:1999;2527-2540.
18. Gao C.F., Wang M.Z. Green's functions of an interfacial crack between two dissimilar piezoelectric media. International Journal of Solids and Structures. 38:2001;5323-5334.
19. Ing Y.S., Lin J.T. Dynamic full-field analysis of a surface crack subjected to an antiplane moving loading. Journal of the Chinese Institute of Engineers. 25:2002;639-651.
20. Ing Y.S., Ma C.C. Transient response of a finite crack subjected to dynamic antiplane loading. International Journal of Fracture. 82:1996;345-362.
21. Ing Y.S., Ma C.C. Dynamic fracture analysis of a finite crack subjected to an incident horizontally polarized shear wave. International Journal of Solids and Structures. 34:1997;895-910.
22. Ing Y.S., Ma C.C. Transient analysis of a subsonic propagating interface crack subjected to anti-plane dynamic loading in dissimilar isotropic materials. Journal of Applied Mechanics. 64:1997;546-556.
23. Ing Y.S., Ma C.C. Transient analysis of a propagating crack with finite length subjected to a horizontally polarized shear wave. International Journal of Solids and Structures. 36:1999;4609-4627.
24. Ing Y.S., Ma C.C. Transient response of a surface crack subjected to dynamic anti-plane concentrated loadings. International Journal of Fracture. 109:2001;239-261.
25. Ing Y.S., Ma C.C. Dynamic fracture analysis of finite cracks by horizontally polarized shear waves in anisotropic solids. Journal of the Mechanics and Physics of Solids. 51:2003;1987-2021.
26. Ing, Y.S., Ma, C.C., submitted for publication. Full-field analysis of an anisotropic finite crack subjected to an anti-plane point impact loading.
27. Ing Y.S., Wang M.J. Explicit transient solutions for a mode III crack subjected to dynamic concentrated loading in a piezoelectric material. International Journal of Solids and Structures. 41:2004;3849-3864.
28. Kostrov B.V. Self-similar problems of propagation of shear cracks. Applied Mathematics and Mechanics (PMM). 28:1964;1077-1087.
29. Kostrov B.V. Unsteady propagation of longitudinal shear cracks. Prikladnaya Matematika I Mekhanika. 30:1966;1241-1248.
30. Kwon S.M., Lee K.Y. Analysis of stress and electric field in a rectangular piezoelectric body with a center crack under anti-plane shear loading. International Journal of Solids and Structures. 37:2000;4859-4869.
31. Kwon S.M., Lee K.Y. Transient response of a rectangular piezoelectric medium with a center crack. European Journal of Mechanics A/Solids. 20:2001;457-468.
32. Kwon J.H., Lee K.Y., Kwon S.M. Moving crack in a piezoelectric ceramic strip under anti-plane shear loading. Mechanics Research Communications. 27:2000;327-332.
33. Li S. On global energy release rate of a permeable crack in a piezoelectric ceramic. Journal of Applied Mechanics. 70:2003;246-252.
34. Li S., 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.
35. Li S., Mataga P.A. Dynamic crack propagation in piezoelectric materials - Part II. Vacuum solution. Journal of the Mechanics and Physics of Solids. 44:1996;1831-1866.
36. Li X.F. Transient response of a piezoelectric material with a semi-infinite mode-III crack under impact loads. International Journal of Fracture. 111:2001;119-130.
37. Ma C.C. Initiation, propagation, and kinking of an in-plane crack. Journal of Applied Mechanics. 55:1988;587-595.
38. Ma C.C. Dynamic mixed mode I-II crack kinking under oblique stress wave loading in brittle solids. Journal of Applied Mechanics. 57:1990;117-127.
39. Ma C.C., Burgers P. Mode III kinking with delay time: an analytical approximation. International Journal of Solids and Structures. 22:1986;883-899.
40. Ma C.C., Burgers P. Dynamic mode I and mode II crack kinking including delay time effects. International Journal of Solids and Structures. 23:1987;897-918.
41. Ma C.C., Burgers P. Initiation, propagation, and kinking of an antiplane crack. Journal of Applied Mechanics. 55:1988;111-119.
42. Ma C.C., Ing Y.S. Dynamic crack propagation in a layered medium under antiplane shear. Journal of Applied Mechanics. 64:1997;66-72.
43. Meguid S.A., Chen Z.T. Transient response of a finite piezoelectric strip containing coplanar insulating cracks under electromechanical impact. Mechanics of Materials. 33:2001;85-96.
44. Meguid S.A., Zhao X. The interface crack problem of bonded piezoelectric and elastic half-space under transient electromechanical loads. Journal of Applied Mechanics. 69:2002;244-253.
45. Narita F., Shindo Y. Layered piezoelectric medium with interface crack under anti-plane shear. Theoretical and Applied Fracture Mechanics. 30:1998;119-126.
46. Narita F., Shindo Y. Dynamic anti-plane shear of a cracked piezoelectric ceramic. Theoretical and Applied Fracture Mechanics. 29:1998;169-180.
47. Narita F., Shindo Y. Scattering of antiplane shear waves by a finite crack in piezoelectric laminates. Acta Mechanica. 134:1999;27-43.
48. Pak Y.E. Crack extension force in a piezoelectric material. Journal of Applied Mechanics. 57:1990;647-653.
49. Park S.B., Sun C.T. Effect of electric field on fracture of piezoelectric ceramics. International Journal of Fracture. 70:1995;203-216.
50. Park S.B., Sun C.T. Fracture criteria of piezoelectric ceramics. Journal of the American Ceramic Society. 78:1995;1475-1480.
51. Qin Q.H., Mai Y.W. Multiple cracks in thermoelectroelastic bimaterials. Theoretical and Applied Fracture Mechanics. 29:1998;141-150.
52. Ru C.Q. Exact solution for finite electrode layers embedded at the interface of two piezoelectric half-planes. Journal of Mechanics and Physics of Solids. 48:2000;693-708.
53. Shen S., Kuang Z.B., Hu S. Interface crack problems of a laminated piezoelectric plate. European Journal of Mechanics A/Solids. 18:1999;219-238.
54. Shin J.W., Kwon S.M., Lee K.Y. An eccentric crack in a piezoelectric strip under anti-plane shear impact loading. International Journal of Solids and Structures. 38:2001;1483-1494.
55. Shindo Y., Ozawa E. Dynamic analysis of a piezoelectric material. Hsieh R.K.T. Mechanical Modeling of New Electromagnetic Materials. 1990;297-304 Elsevier, Amsterdam.
56. Sosa H. On the fracture mechanics of piezoelectric solids. International Journal of Solids and Structures. 29:1992;2613-2622.
57. Suo Z., Kuo C.M., Barnett D.M., Willis J.R. Fracture mechanics of piezoelectric ceramics. Journal of the Mechanics and Physics of Solids. 40:1992;739-765.
58. Ueda S. Diffraction of antiplane shear waves in a piezoelectric laminate with a vertical crack. European Journal of Mechanics A/Solids. 22:2003;413-422.
59. Wang B.L., Han J.C., Du S.Y. Electroelastic fracture dynamics for multilayered piezoelectric materials under dynamic anti-plane shearing. International Journal of Solids and Structures. 37:2000;5219-5231.
60. Wang X.D. On the dynamic behaviour of interacting interfacial cracks in piezoelectric media. International Journal of Solids and Structures. 38:2001;815-831.
61. Wang X.D., Meguid S.A. Modelling and analysis of the dynamic behaviour of piezoelectric materials containing interacting cracks. Mechanics of Materials. 32:2000;723-737.
62. Yang F. Fracture mechanics for a mode I crack in piezoelectric materials. International Journal of Solids and Structures. 38:2001;3813-3830.
63. Yang F., Kao I. Crack problem in piezoelectric materials: general anti-plane mechanical loading. Mechanics of Materials. 31:1999;395-406.
64. Yoffe E.H. The moving Griffith crack. Philosophical Magazine. 42:1951;739-750.
65. Zhang T.Y., Tong P. Fracture mechanics for mode III crack in a piezoelectric material. International Journal of Solids and Structures. 33:1996;343-359.
66. Zhao X., Meguid S.A. On the dynamic behaviour of a piezoelectric laminate with multiple interfacial collinear cracks. International Journal of Solids and Structures. 39:2002;2477-2494.
67. Zhou Z.G., Wang B., Sun Y.G. Investigation of the dynamic behavior of two parallel symmetric cracks in piezoelectric materials use of non-local theory. International Journal of Solids and Structures. 40:2003;747-762.