Explicit transient solutions for a mode III crack subjected to dynamic concentrated loading in a piezoelectric material

International Journal of Solids and Structures

Volumn 41, Issue 14, 2004, Pages 3849-3864

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

^a TAMKANG UNIVERSITY   (Taiwan)

Author keywords

Crack; Dynamic fracture; Piezoelectric material; Wave propagation

Indexed keywords

CRACK PROPAGATION; ELECTRODES; LAPLACE TRANSFORMS; STRESS ANALYSIS; TRANSIENTS;

ANTI-PLANE CONCENTRATED LOADING; MODE III CRACKS; SEMI-INFINITE CRACKS; TRANSIENT SOLUTIONS;

PIEZOELECTRIC MATERIALS;

FRACTURE MECHANICS;

EID: 2442655594     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.02.038     Document Type: Article

References (50)

1. Achenbach J.D. Wave Propagation in Elastic Solids 1973 Elsevier New York
2. Bleustein J.L. A new surface wave in piezoelectric materials Applied Physics Letters 13 1968 412-413
3. Cagniard, L., 1939. Reflexion et Refraction des Ondes Seismiques Progressives. Cauthiers-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)
4. Chen Z.T. Crack tip field of an infinite piezoelectric strip under anti-plane impact Mechanics Research Communications 25 1998 313-319
5. 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
6. 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
7. Freund L.B. Energy flux into the tip of an extending crack in an elastic solid Journal of Elasticity 2 1972 341-349
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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
14. 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
15. 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
16. 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
17. 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
18. Ing, Y.S., Ma, C.C., 2003b. Full-field analysis of an anisotropic finite crack subjected to an anti-plane point impact loading (submitted)
19. 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
20. 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
21. Li S. On global energy release rate of a permeable crack in a piezoelectric ceramic Journal of Applied Mechanics 70 2003 246-252
22. 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
23. 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
24. Ma C.C. Ing Y.S. Transient analysis of dynamic crack propagation with boundary effect Journal of Applied Mechanics 62 1995 1029-1038
25. Ma C.C. Ing Y.S. Dynamic crack propagation in a layered medium under antiplane shear Journal of Applied Mechanics 64 1997 66-72
26. Ma C.C. Ing Y.S. Transient analysis of a crack in a composite layered medium subjected to dynamic loadings AIAA Journal 35 1997 706-711
27. 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
28. 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
29. Narita F. Shindo Y. Layered piezoelectric medium with interface crack under anti-plane shear Theoretical and Applied Fracture Mechanics 30 1998 119-126
30. Narita F. Shindo Y. Dynamic anti-plane shear of a cracked piezoelectric ceramic Theoretical and Applied Fracture Mechanics 29 1998 169-180
31. Narita F. Shindo Y. Scattering of antiplane shear waves by a finite crack in piezoelectric laminates Acta Mechanica 134 1999 27-43
32. Pak Y.E. Crack extension force in a piezoelectric material Journal of Applied Mechanics 57 1990 647-653
33. Park S.B. Sun C.T. Effect of electric field on fracture of piezoelectric ceramics International Journal of Fracture 70 1995 203-216
34. Park S.B. Sun C.T. Fracture criteria of piezoelectric ceramics Journal- American Ceramic Society 78 1995 1475-1480
35. Qin Q.H. Mai Y.W. Multiple cracks in thermoelectroelastic bimaterials Theoretical and Applied Fracture Mechanics 29 1998 141-150
36. 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
37. 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
38. 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
39. 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
40. Sosa H. On the fracture mechanics of piezoelectric solids International Journal of Solids and Structures 29 1992 2613-2622
41. 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
42. 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
43. 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
44. Wang X.D. On the dynamic behaviour of interacting interfacial cracks in piezoelectric media International Journal of Solids and Structures 38 2001 815-831
45. Wang X.D. Meguid S.A. Modelling and analysis of the dynamic behaviour of piezoelectric materials containing interacting cracks Mechanics of Materials 32 2000
46. Yang F. Fracture mechanics for a mode I crack in piezoelectric materials International Journal of Solids and Structures 38 2001 3813-3830
47. Yang F. Kao I. Crack problem in piezoelectric materials: general anti-plane mechanical loading Mechanics of Materials 31 1999 395-406
48. 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
49. 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
50. 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