Three-dimensional BEM for piezoelectric fracture analysis

Engineering Analysis with Boundary Elements

Volumn 29, Issue 6, 2005, Pages 586-596

  Sanz, J A ^a   Ariza, M P ^a   Dominguez, J ^a  

^a UNIVERSIDAD DE SEVILLA   (Spain)

Author keywords

Boundary element method; Piezoelectric solids; Stress intensity factors; Three dimensional fracture mechanics

Indexed keywords

BOUNDARY ELEMENT METHOD; INTEGRAL EQUATIONS; LEAD COMPOUNDS; PIEZOELECTRIC DEVICES; STRAIN; STRESS INTENSITY FACTORS; THREE DIMENSIONAL;

ELECTRICAL LOADING; ISOPARAMETRIC ELEMENTS; PIEZOELECTRIC SOLIDS; THREE-DIMENSIONAL FRACTURE MECHANICS;

FRACTURE MECHANICS;

EID: 18844425184     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2004.12.014     Document Type: Article

References (35)

1. D.M. Barnett, and J. Lothe Dislocations and line charges in anisotropic piezoelectric insulators Physica Status Solidi (b) 67 1975 105 111
2. Deeg WF. The analysis of dislocation, crack and inclusion problems in piezoelectric solids. PhD Thesis, Stanford University; 1980.
3. Y.E. Pak Linear electro-elastic fracture mechanics of piezoelectric materials Int J Fract 54 1992 79 100
4. Z. Suo, C.-M. Kuo, D.M. Barnett, and J.R. Willis Fracture mechanics for piezoelectric ceramics J Mech Phys Solids 40 1992 739 765
5. H. Sosa On fracture mechanics of piezoelectric solids Int J Solids Struct 29 1992 2613 2622
6. S.B. Park, and C.T. Sun Fracture criteria for piezoelectric ceramics J Am Ceram Soc 78 1995 1475 1480 [correction(1996)]
7. C.C. Wu, K.Y. Sce, and Y.Q. Huang Numerical solution on fracture of piezoelectric materials by hybrid element Int J Solids Struct 38 2001 4315 4329
8. E. Pan A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids Eng Anal Bound Elem 23 1999 67 76
9. J.D. Eshelby, W.T. Read, and W. Shockley Anisotropic with applications to dislocation theory Acta Metall 1 1953 251 259
10. A.N. Stroh Dislocations and cracks in anisotropic elasticity Philos Mag 3 1958 625 646
11. S.G. Lekhnitskii Theory of elasticity of an anisotropic elastic body 1963 Holden-Day San Francisco
12. Y. Liu, and H. Fan On the conventional boundary integral formulation for piezoelectric solids with defects or of thin shapes Eng Anal Bound Elem 25 2001 77 91
13. R.K.N.D. Rajapakse, and X.L. Xu Boundary element modelling of cracks in piezoelectric solids Eng Anal Bound Elem 25 2001 771 781
14. X.L. Xu, and R.K.N.D. Rajapakse On a plane crack in piezoelectric solids Int J Solids Struct 38 2001 7643 7658
15. M. Denda, and J. Lua Development of the boundary element method for 2D piezoelectricity Composites: Part B 30 1999 699 707
16. G. Davi, and A. Milazzo Multidomain boundary integral formulation for piezoelectric materials fracture mechanics Int J Solids Struct 38 2001 7065 7078
17. T. Chen, and F.Z. Lin Boundary integral formulations for three-dimensional anisotropic piezoelectric solids Comput Mech 15 1995 485 496
18. M.L. Dunn, and H.A. Wienecke Green's functions for transversely isotropic piezoelectric solids Int J Solids Struct 33 1996 4571 4581
19. M.H. Zhao, Y.P. Shen, Y.J. Liu, and G.N. Liu Isolated crack in three-dimensional piezoelectric solid: Part I - solution by Hankel transform Theor Appl Fract Mech 21 1997 129 139
20. M.H. Zhao, Y.P. Shen, Y.J. Liu, and G.N. Liu Isolated crack in three-dimensional piezoelectric solid: Part II: stress intensity factors for circular crack Theor Appl Fract Mech 21 1997 141 149
21. M.H. Zhao, Y.P. Shen, G.N. Liu, and Y.J. Liu Dugdale model solutions for a penny-shaped crack in three-dimensional transversely isotropic media by boundary-integral equation method Eng Anal Bound Elem 23 1999 573 576
22. E. Pan, and F. Tonon Three-dimensional Green's functions in anisotropic piezoelectric solids Int J Solids Struct 37 2000 943 958
23. K.M. Liew, and J. Liang Modeling of 3d transversely piezoelectric and elastic bimaterials using the boundary element method Comput Mech 29 2002 151 162
24. H. Ding, B. Chen, and J. Liang On the Green's functions for two-phase transversely isotropic piezoelectric media Int J Solids Struct 34 1997 3041 3057
25. H. Ding, and J. Liang The fundamental solution for transversely isotropic piezoelectricity and boundary element method Comput Struct 71 1999 447 455
26. H. Ding, W.Q. Chen, and A.M. Jiang Green's functions and boundary element method for transversely isotropic piezoelectric materials Eng Anal Bound Elem 28 2004 975 987
27. M.-C. Chen Application of finite-part integrals to the three-dimensional fracture problems for piezoelectric media. Part I: hypersingular integral equation and theoretical analysis Int J Fract 121 2003 133 148
28. M.-C. Chen Application of finite-part integrals to the three-dimensional fracture problems for piezoelectric media. Part II: numerical analysis Int J Fract 121 2003 149 161
29. L.R. Hill, and T.N. Farris Three-dimensional piezoelectric boundary element method AIAA J 36 1998 102 108
30. M.P. Ariza, A. Saez, and J. Domínguez A singular element for three-dimensional fracture mechanics analysis Eng Anal Bound Elem 20 1997 275 285
31. A. Saez, M.P. Ariza, and J. Domínguez Tree-dimensional fracture analysis in transversely isotropic solids Eng Anal Bound Elem 20 1997 287 298
32. J. Martinez, and J. Dominguez On the use of quarter-point boundary elements for stress intensity factor computations Int J Numer Meth Eng 20 1984 1941 1950
33. V.Z. Parton Fracture mechanics of piezoelectric materials Acta Astronaut 3 671 1976 683
34. A.N. Stroh Steady state problems in anisotropic elasticity J Math Phys 41 1962 77 103
35. Garcia-Sanchez F, Saez A, Dominguez J. Anisotropic and piezoelectric materials fracture analysis by BEM. Comput Struct 2005;83;804-820.