A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids

Engineering Analysis with Boundary Elements

Volumn 23, Issue 1, 1999, Pages 67-76

  Pan, Ernian ^a  

^a UCB 450   (United States)

Author keywords

Anisotropic piezoelectric solid; Boundary element method; Dual BEM; Fracture mechanics; General Green's functions

Indexed keywords

ANISOTROPY; BOUNDARY ELEMENT METHOD; COMPUTATIONAL METHODS; CRACK PROPAGATION; ELECTRIC POTENTIAL; EXTRAPOLATION; FRACTURE MECHANICS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; STRESS INTENSITY FACTORS; TENSILE TESTING;

ANISOTROPIC PIEZOELECTRIC SOLIDS;

PIEZOELECTRIC MATERIALS;

EID: 0032785979     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0955-7997(98)00062-9     Document Type: Article

References (32)

1. Newnham RE, Ruschau GR. Electromechanical properties of smart materials. J Intell Mat Sys Struct 1993;4:289-294.
2. Dunn ML, Taya M. An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities. Proc R Soc Lond A 1993;443:265-287.
3. Pak YE. Crack extension force in a piezoelectric material. J Appl Mech 1990;57:647-653.
4. Pak YE. Force on a piezoelectric screw dislocation. J Appl Mech 1990;57:863-869.
5. Suo Z, Kuo CM, Barnett DM, Willis JR. Fracture mechanics for piezoelectric ceramics. J Mech Phys Solids 1992;40:739-765.
6. Dunn ML. The effects of crack face boundary conditions on the fracture mechanics of piezoelectric solids. Eng Fract Mech 1994;48:25-39.
7. Yang W, Suo Z. Cracking in ceramic actuators caused by electrostriction. J Mech Phys Solids 1994;42:649-663.
8. Dascalu C, Maugin GA. On the dynamic fracture of piezoelectric materials. Q J Mech Appl Math 1995;48:237-255.
9. Hao TH, Gong X, Suo Z. Fracture mechanics for the design of ceramic multilayer actuators. J Mech Phys Solids 1996;44:23-48.
10. Chen CQ, Shen YP, Wang XM. Exact solution of orthotropic cylindrical shell with piezoelectric layers under cylindrical bending. Int J Solids Structures 1996;33:4481-4494.
11. Batra RC, Liang XQ, Yang JS. The vibration of a simply supported rectangular elastic plate due to piezoelectric actuators. Int J Solids Structures 1996;33:1597-1618.
12. Lee JS, Jiang LZ. Exact electroelastic analysis of piezoelectric laminae via state space approach. Int J Solids Structures 1996;33:977-990.
13. Bisegna P, Maceri F. An exact three-dimensional solution for simply supported rectangular piezoelectric plates. J Appl Mech 1996;63:628-638.
14. Heyliger P, Brooks S. Exact solutions for laminated piezoelectric plates in cylindrical bending. J Appl Mech 1996;63:903-910.
15. Dumir PC, Dube GP, Kapuria S. Exact piezoelastic solution of simply-supported orthotropic circular cylindrical panel in cylindrical bending. Int J Solids Structures 1997;34:685-702.
16. Ha SK, Keilers C, Chang FK. Finite element analysis of composite structures containing distributed piezoceramic sensors and actuators. AIAA Journal 1992;30:772-780.
17. Lee JS. Boundary element method for electroelastic interaction in piezoceramics. Eng Anal Bound Elements 1995;15:321-328.
18. Lee JS, Jiang LZ. A boundary integral formulation and 2D fundamental solution for piezoelastic media. Mech Res Commun 1994;21:47-54.
19. Chen T, Lin FZ. Boundary integral formulations for three-dimensional anisotropic piezoelectric solids. Computat Mech 1995;15:485-496.
20. Tiersten HF. Linear piezoelectric plate vibrations. New York: Plenum, 1969.
21. Barnett DM, Lothe J. Dislocations and line charges in anisotropic piezoelectric insulators. Phys Stat Sol B 1975;67:105-111.
22. Pan E, Amadei B. A 3-D boundary element formulation of anisotropic elasticity with gravity. Appl Mat Model 1996;20:114-120.
23. Aliabadi MH. Boundary element formulations in fracture mechanics. Appl Mech Rev 1997;50:83-96.
24. Pan E, Amadei B. Fracture mechanics analysis of cracked 2-D anisotropic media with a new formulation of the boundary element method. Int J Fracture 1996;77:161-174.
25. Portela A, Aliabadi MH, Rooke DP. The dual boundary element method: Effective implementation for crack problems. Int J Numer Meth Eng 1992;33:1269-1287.
26. Pan E. A general boundary element analysis of 2-D linear elastic fracture mechanics. Int J Fracture, in press.
27. Tsamasphyros G, Dimou G. Gauss quadrature rules for finite part integrals. Int J Numer Meth Eng 1990;30:13-26.
28. Sosa HA, Castro MA. On concentrated loads at the boundary of a piezoelectric half plane. J Mech Phys Solids 1994;42:1105-1122.
29. Chung MY, Ting TCT. Line force, charge, and dislocation in anisotropic piezoelectric composite wedges and spaces. J Appl Mech 1995;62:423-428.
30. Sollero P, Aliabadi MH, Rooke DP. Anisotropic analysis of cracks emanating from circular holes in composite laminates using the boundary element method. Eng Fracture Mech 1994;49:213-224.
31. Suo Z. Singularities, interfaces and cracks in dissimilar anisotropic media. Proc R Soc Lond A 1990;427:331-358.
32. Eshelby JD, Read WT, Shockley W. Anisotropic elasticity with applications to dislocations theory. Acta Metal 1953;1:251-259.