Antiplane internal crack normal to the edge of a functionally graded piezoelectric/piezomagnetic half plane

Meccanica

Volumn 43, Issue 3, 2008, Pages 307-325

  Chue, Ching Hwei ^a   Hsu, Wei Hung ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Fracture mechanics; Functionally graded piezoelectric piezomagnetic material; Gauss Chebyshev integration technique; Internal crack; Singular integral equations

Indexed keywords

COMPUTER NETWORKS; CRACK TIPS; ELASTIC CONSTANTS; ELECTRIC FIELDS; ELECTROACUPUNCTURE; FOURIER TRANSFORMS; FRACTURE FIXATION; INTEGRAL EQUATIONS; MAGNETIC FIELDS; MAGNETIC PERMEABILITY; MAGNETIC PROPERTIES; MAGNETISM; NUMERICAL ANALYSIS; NUMERICAL METHODS;

(ABIOTIC AND BIOTIC) STRESS; (PL) PROPERTIES; APPLIED (CO); BUSINESS MEDIA; CRACK DIRECTION; DIELECTRIC CONSTANTS; EDGE CONDITIONS; ELECTRIC DISPLACEMENTS; ENERGY DENSITY THEORY; FOURIER; FRACTURE BEHAVIORS; FUNCTIONALLY GRADED; GAUSS-CHEBYSHEV INTEGRATION TECHNIQUE; HALF PLANES; IMPERMEABLE AND PERMEABLE CRACK PROBLEMS; INTERNAL CRACKS; LOAD RATIOS; MAGNETIC (CE); MAGNETIC INDUCTION INTENSITY FACTORS; MAGNETOELECTRIC COEFFICIENTS; NONHOMOGENEOUS MATERIALS; PIEZOELECTRIC CONSTANTS; PIEZOELECTRIC/PIEZOMAGNETIC; PIEZOMAGNETIC; PIEZOMAGNETIC COEFFICIENT; SPRINGER (CO); SYSTEM OF SINGULAR INTEGRAL EQUATIONS;

CRACKS;

EID: 45249106017     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11012-007-9096-0     Document Type: Article

References (43)

1. Van Suchtelen J (1972) Product properties: a new application of composite materials. Philips Res Rep 27:28-37
2. Van Run AMJG, Terrell DR, Scholing JH (1974) An in situ grown eutectic magnetoelectric composite material. J Mater Sci 9:1710-1714
3. Nan CW (1994) Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases. Phys Rev B 50(9):6082-6088
4. Song ZF, Sih GC (2003) Crack initiation behavior in magnetoelectroelastic composite under in-plane deformation. Theor Appl Fract Mech 39:189-207
5. 4 composite. Theor Appl Fract Mech 39:209-227
6. Sih GC, Chen EP (2003) Dilatational and distortional behavior of cracks in magnetoelectroelastic materials. Theor Appl Fract Mech 40:1-21
7. Sih GC, Jones R, Song ZF (2003) Piezomagnetic and piezoelectric poling effects on mode I and II crack initiation behavior of magnetoelectroelastic materials. Theor Appl Fract Mech 40:161-186
8. Gao CF, Tong P, Zhang TY (2003) Interfacial crack problems in magneto-electroelastic solids. Int J Eng Sci 41:2105-2121
9. Gao CF, Kessler H, Balke H (2003) Crack problems in magnetoelectroelastic solids. Part I: exact solution of a crack. Int J Eng Sci 41:969-981
10. Gao CF, Kessler H, Balke H (2003) Crack problems in magnetoelectroelastic solids, part II: general solution of collinear cracks. Int J Eng Sci 41:983-994
11. Wang BL, Mai YW (2003) Crack tip field in piezoelectric/piezomagnetic media. Eur J Mech A 22:591-602
12. Wang XM, Shen YP (1996) The conservation laws and path-independent integrals with an application for linear electro-magneto-elastic media. Int J Solids Struct 33:865-878
13. Spyropoulos CP, Sih GC, Song ZF (2003) Magnetoelectroelastic composite with poling parallel to plane of line crack under out-of-plane deformation. Theor Appl Fract Mech 39:281-289
14. Zhou ZG, Wang B, Sun YG (2004) Two collinear interface cracks in magneto-electro-elastic composites. Int J Eng Sci 42:1155-1156
15. Gao CF, Tong P, Zhang TY (2004) Fracture mechanics for a mode III crack in a magnetoelectroelastic solid. Int J Solids Struct 41:6613-6629
16. Wang BL, Mai YW (2004) Fracture of piezoelectromagnetic materials. Mech Res Commun 31:65-73
17. Kassir MK (1972) A note on the twisting deformation of a non-homogeneous shaft containing a circular crack. Int J Fract Mech 8:325-334
18. Delale F, Erdogan F (1983) The crack problem for a nonhomogeneous plane. J Appl Mech 50:609-614
19. Erdogan F (1985) The crack problem for bonded nonhomogeneous materials under antiplane shear loading. J Appl Mech 52:823-828
20. Erdogan F, Kaya AC, Joseph PF (1991) The crack problem in bonded nonhomogeneous materials. J Appl Mech 58:410-418
21. Erdogan F, Kaya AC, Joseph PF (1991) The mode III crack problem in bonded materials with a nonhomogeneous interfacial zone. J Appl Mech 58:419-427
22. Choi HJ (1996) Bonded dissimilar strips with a crack perpendicular to the functionally graded interface. Int J Solids Struct 33:4101-4117
23. Wu CCM, Kahn M, Moy W (1996) Piezoelectric ceramics with functional gradients: A new application in material design. J Am Ceram Soc 79:809-812
24. Reimanis IE (2004) Functionally graded material. In: Wessel JK (ed) The handbook of advanced materials: enabling new designs. Wiley, New York, pp 465-486
25. Watanabe Y, Nakamura Y, Fukui Y, Nakanishi K (1993) A magnetic-functionally graded material manufactured with deformation-induced martensitic transformation. J Mater Sci Lett 12:326-328
26. Li C, Weng GJ (2002) Antiplane crack problem in functionally graded piezoelectric materials. J Appl Mech 69:481-488
27. Wang BL, Noda N (2001) Thermally induced fracture of a smart functionally graded composite structure. Theor Appl Fract Mech 35:93-109
28. Ueda S (2003) Crack in functionally graded piezoelectric strip bonded to elastic surface layers under electromechanical loading. Theor Appl Fract Mech 40:225-236
29. Wang BL (2003) A mode III crack in functionally graded piezoelectric materials. Mech Res Commun 30:151-159
30. Chue CH, Ou YL (2005) Mode III crack problems for two bonded functionally graded piezoelectric materials. Int J Solids Struct 42:3321-3337
31. Zhou ZG, Wang B (2004) Two parallel symmetry permeable cracks in functionally graded piezoelectric/piezomagnetic materials under anti-plane shear loading. Int J Solids Struct 41:4407-4422
32. Zhou ZG, Wu LZ, Wang B (2005) The behavior of a crack in functionally graded piezoelectric/piezomagnetic materials under anti-plane shear loading. Arch Appl Mech 74:526-535
33. Feng WJ, Su RKL (2007) Dynamic fracture behaviors of cracks in a functionally graded magneto-electro-elastic plate. Eur J Mech A: Solids 26:363-379
34. Feng WJ, Su RKL (2006) Dynamic internal crack problem of a functionally graded magneto-electro-elastic strip. Int J Solids Struct 43:5196-5216
35. Pan E, Han F (2005) Exact solution for functionally graded and layered magneto-electro-elastic plates. Int J Eng Sci 43:321-339
36. Muskhhelishvili NI (1953) Singular Integral Equations. Noordhoff International Publishing, Groningen
37. Erdogan F, Gupta GD, Cook TS (1973) Numerical solution of singular integral equations. In: Sih GC (ed) Mechanics of fracture 1: method of analysis and solution of crack problem. Noordhoff International Publishing, Leyden, pp 368-425
38. Rivlin TJ (1974) The Chebyshev polynomials. Wiley, New York
39. Pak YE (1990) Crack extension force in a piezoelectric material. J Appl Mech 57:647-653
40. Haung JH, Kuo WS (1997) The analysis of piezoelectric/piezomagnetic composite materials containing ellipsoidal inclusion. J Appl Phys 81(3):1378-1386
41. Neelakanta PS (1995) Handbook of electromagnetic materials. CRC Press, New York
42. Pan E (2002) Three-dimensional Green's function in anisotropic magneto-electro-elastic bimaterials. Z Angrew Math Phys 53:815-838
43. Li XF, Duan XY (2001) Closed-form solution for a mode-III crack at the mid-plane of a piezoelectric materials. Mech Res Commun 28:703-710