Upper and lower bounds analysis of electric induction intensity factors for multiple piezoelectric cracks by the BEM

Engineering Analysis with Boundary Elements

Volumn 29, Issue 6, 2005, Pages 533-550

  Denda, M ^a   Mansukh, M ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

Boundary element method; Electrically impermeable and permeable cracks; Numerical Green's function; Piezoelectricity; Upper lower bounds of electric induction intensity factor

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; CRACKS; GREEN'S FUNCTION; ITERATIVE METHODS; PERMITTIVITY;

ELECTRIC BOUNDARY CONDITIONS; ELECTRIC INDUCTION; MODELLING TOOLS; OPEN CRACKS;

PIEZOELECTRIC DEVICES;

EID: 18844407098     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2005.01.009     Document Type: Article

References (45)

1. N. Setter, and R. Waser Electroceramic materials Acta Mater 48 2000 151 178
2. T.H. Hao, and Z.Y. Shen A new electric boundary condition of electric fracture mechanics and its applications Eng Fract Mech 47 1994 793 802
3. Deeg WF. The analysis of dislocation, crack and inclusion in piezoelectric solids. PhD thesis, Stanford University; 1980.
4. H.A. Sosa, and Y.E. Pak Three-dimensional eigenfunction analysis of a crack in a piezoelectric material Int J Solids Struct 26 1990 1 15
5. H.A. Sosa Plane problems in piezoelectric media with defects Int J Solids Struct 28 1991 491 505
6. H.A. Sosa On the fracture mechanics of piezoelectric solids Int J Solids Struct 29 1992 2613 2622
7. Y.E. Pak Linear electro-elastic fracture mechanics of piezoelectric materials Int J Fract 54 1992 79 100
8. P.B. Park, and C.T. Sun Effect of electric field on fracture of piezoelectric ceramics Int J Fract 70 1995 203 216
9. P.B. Park, and C.T. Sun Fracture criteria for piezoelectric ceramics J Am Ceram Soc 78 1995 1475 1480
10. S. Kumar, and R.N. Singh Energy release rate and crack propagation in piezoelectric materials. Part I: mechanical/electrical load Acta Mater 45 1997 849 857
11. S. Kumar, and R.N. Singh Energy release rate and crack propagation in piezoelectric materials. Part II: combined mechanical and electrical loads Acta Mater 45 1997 859 868
12. S. Kumar, and R.N. Singh Influence of applied electric field and mechanical boundary condition on the stress distribution at the crack tip in piezoelectric material Mater Sci Eng A 231 1997 1 9
13. S. Kumar, and R.N. Singh Effect of mechanical boundary condition at the crack surfaces on the stress distribution at he crack tip in piezoelectric material Mater Sci Eng A 231 1998 64 77
14. R.N. Singh, and S. Kumar Electromechanical response of cracks in piezoelectric materials under combined mechanical and electrical loadings Key Eng Mater 145-149 1998 1005 1010
15. Q.H. Qin, and Y.W. Mai A closed crack model for interface cracks in thermopiezoelectric materials Int J Solids Struct 36 1999 2463 2479
16. Q.H. Qin General solutions for thermopiezoelectrics with various holes under thermal loading Int J Solids Struct 37 2000 5561 5578
17. B.L. Wang, J.C. Han, and S.Y. Du Electroelastic fracture dynamics for multilayered piezoelectric materials under dynamic anti-plane shearing Int J Solids Struct 37 2000 4969 4986
18. B.L. Wang, and N. Noda Mixed mode crack initiation in piezoelectric ceramic strip Theor Appl Fract Mech 34 2000 35 47
19. B.L. Wang, and N. Noda Axisymmetric deformation of piezoelectric mutilayers Phil Mag A 81 4 2001 1009 1019
20. H. Gao, and D.M. Barnett An invariance property of local energy release rate in a strip saturation model of piezoelectric fracture Int J Fract 79 1996 R25 R29
21. C.C. Fulton, and H. Gao Electrical nonlinearity in fracture of piezoelectric ceramics Appl Mech Rev 50 11 1997 556 563
22. H. Gao, T.Y. Zhang, and P. Tong Local and global energy release rate for an electrically yielded crack in a piezoelectric ceramic J Mech Phys Solids 45 1997 491 510
23. K.P. Herrmann, V.V. Loboda, and V.B. Govorukha On contact zone model for an electrically impermeable interface crack in a piezoelectric bimaterial Int J Fract 111 2001 203 227
24. R.N. McMeeking Electrostrictive stresses near crack-like flaws J Appl Math Phys 40 1989 615 627
25. G.K. Mikahailov, and V.Z. Parton Electromagnetoelasticity 1990 Hemisphere New York
26. S.M. Kwon, and K.Y. Lee Analysis of stress and electric fields in a rectangular piezoelectric body with a center crack under anti-plane shear loading Int J Solids Struct 37 2000 4859 4869
27. Y. Shindo, E. Ozawa, and J.P. Nowacki Singular stress and electric fields of a cracked piezoelectric strip Int J Appl Electromagn Mater 1 1990 77 87
28. Y. Shindo, K. Watanabe, and F. Narita Electroelastic analysis of a piezoelectric ceramic strip with a central crack Int J Eng Sci 38 2000 1 19
29. F. Narita, Y. Shindo, and K. Horiguchi Electroelastic fracture mechanics of piezoelectric ceramics Y. Shindo Mechanics of electromagnetic material systems and structures 2002 WIT Press Southampton 89 101
30. M.L. Dunn The effects of crack face boundary conditions on the fracture of piezoelectric solids Eng Fract Mech 48 1994 25 39
31. T.Y. Zhang, and P. Tong Fracture mechanics for a mode-III crack in a piezoelectric material Int J Solids Struct 33 1996 343 359
32. H. Sosa, and N. Khutoryansky New developments concerning piezoelectric materials with defects Int J Solids Struct 33 1996 3399 3414
33. C.F. Gao, and W.X. Fan Exact solutions for the plane problem in piezoelectric materials with an elliptic or a crack Int J Solids Struct 36 1999 2527 2540
34. R.M. McMeeking Crack tip energy release rate for a piezoelectric compact tension specimen Eng Fract Mech 64 1999 217 244
35. B.J. Wang, J.C. Han, and S.Y. Du New considerations for the fracture of piezoelectric materials under electromechanical loading Mech Res Commun 27 2000 435 444
36. C.C. Fulton, and H. Gao Effect of local polarization on piezoelectric fracture J Mech Phys Solids 49 2001 927 952
37. R.M. McMeeking Towards a fracture mechanics for brittle piezoelectric and dielectric materials Int J Fract 108 2001 25 41
38. T.Y. Zhang, C.F. Qian, and P. Tong Linear electro-elastic analysis of a cavity or a crack in a piezoelectric material Int J Solids Struct 35 1998 2122 2149
39. T.Y. Zhang, M. Zhao, and P. Tong Fracture of piezoelectric ceramics Adv Appl Mech 38 2001 148 289
40. B.L. Wang, and Y.W. Mai On the electrical boundary conditions on the crack surfaces in piezoelectric ceramics Int J Eng Sci 41 2003 633 652
41. O. Gruebner, M. Kamlah, and D. Munz Finite element analysis of cracks in piezoelectric materials taking into account the permittivity of the crack medium Eng Frac Mech 70 2003 1399 1413
42. M. Denda, and E. Mattingly The whole crack singular element for 2-D boundary element analysis of multiple straight cracks in the general anisotropic solids Electron J Boundary Elem 1 3 2003 404 417
43. Denda M, Araki Y, Yong YK. Time-harmonic BEM for 2-D piezoelectricity applied to eigenvalue problems. Int J Solids Struct 2004;41(26):7241-7265.
44. M. Denda Mixed mode I, II and III analysis of multiple cracks in plane anisotropic solids by the BEM: a dislocation and point force approach Int J Eng Anal Boundary Elem 25 4-5 2001 267 278
45. B.A. Auld Acoustic fields and waves in solids vol. 1 1973 Wiley New York