Mode III crack problem in a functionally graded magneto-electro-elastic strip

International Journal of Solids and Structures

Volumn 44, Issue 17, 2007, Pages 5518-5537

  Ma, Li ^a,b   Li, Jia ^b   Abdelmoula, Radhi ^b   Wu, Lin Zhi ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITÉ PARIS 13   (France)

Author keywords

Crack; Energy release rate; Field intensity factor; Functionally graded materials (FGM); Magneto electro elastic material; Singular integral equation; Strip

Indexed keywords

DISLOCATION DENSITY; FIELD INTENSITY FACTORS; MAGNETO-ELECTRO-ELASTIC MATERIALS;

DISLOCATIONS (CRYSTALS); ELASTICITY; ENERGY RELEASE RATE; INTEGRAL EQUATIONS; PARAMETER ESTIMATION; PROBLEM SOLVING;

FUNCTIONALLY GRADED MATERIALS;

EID: 34447260547     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.01.012     Document Type: Article

References (23)

1. Chen J., and Liu Z.X. Transient response of a mode III crack in an orthotropic functionally graded strip. European Journal of Mechanics A/Solids 24 (2005) 325-336
2. Erdogan, F., Gupta, G.D., Cook, T.S., 1972. Methods of analysis and solution of crack problem. In: Mechanics of Fracture, vol. 1. Noordhoff, Leyden.
3. Feng W.J., and Su R.K.L. Dynamic internal crack problem of a functionally graded magneto-electro-elastic strip. International Journal of Solids and Structures 43 (2006) 5196-5216
4. Gao C.F., Kessler H., and Balke H. Crack problems in magnetoelectroelastic solids. Part I: Exact solution of a crack. International Journal of Engineering Science 41 (2003) 969-981
5. Gao C.F., Kessler H., and Balke H. Crack problems in magnetoelectroelastic solids. Part II: General solution of collinear cracks. International Journal of Engineering Science 41 (2003) 983-994
6. Gao C.F., Tong P., and Zhang T.Y. Interfacial crack problems in magneto-electroelastic solids. International Journal of Engineering Science 41 (2003) 2105-2121
7. Li R., and Kardomateas G.A. The Mode III interface crack in piezo-electro-magneto- elastic dissimilar bimaterials. Journal of Applied Mechanics 73 (2006) 220-227
8. Liang W., Fang D., Shen Y., and Soh A.K. Nonlinear magnetoelastic coupling effects in a soft ferromagnetic material with a crack. International Journal of Solids and Structures 39 (2002) 3997-4011
9. Lin C.B., and Lin H.M. The magnetoelastic problem of cracks in bonded dissimilar materials. International Journal of Solids and Structures 39 (2002) 2807-2826
10. Liu J.X., Liu X., and Zhao Y. Green's functions for anisotropic magnetoelectroelastic solids with an elliptical cavity or a crack. International Journal of Engineering Sciences 39 (2001) 1405-1418
11. McMeeking R. On mechanical stress at cracks in dielectrics with application to dielectric breakdown. Journal of Applied Physics 62 (1989) 3116-3122
12. Niraula O.P., and Wang B.L. Thermal stress analysis in magneto-electro-thermo-elasticity with a penny-shaped crack under uniform heat flow. Journal of Thermal Stresses 29 (2006) 423-437
13. Pak Y.E. Crack extension force in a piezoelectric material. Journal of Applied Mechanics 57 (1990) 647-653
14. 4 composite. Theoretical and Applied Fracture Mechanics 39 (2003) 209-227
15. Sih G.C., Jones R., and Song Z.F. Piezomagnetic and piezoelectric poling effects on mode I and II crack initiation behavior of magnetoelectroelastic materials. Theoretical and Applied Fracture Mechanics 40 (2003) 161-186
16. Song Z.F., and Sih G.C. Crack initiation behavior in magnetoelectroelastic composite under in-plane deformation. Theoretical and Applied Fracture Mechanics 39 (2003) 189-207
17. Spyropoulos C.P., Sih G.C., and Song Z.F. Magnetoelectroelastic composite with poling parallel to plane of line crack under out-of-plane deformation. Theoretical and Applied Fracture Mechanics 39 (2003) 281-289
18. Van Run A.M.J.G., Terrell D.R., and Scholing J.H. An in situ grown eutectic magneto- electric composite material. Journal of Materials Science 9 (1974) 1710-1714
19. Wang B.L., and Mai Y.W. Crack tip field in piezoelectric/piezomagnetic media. European Journal of Mechanics A/Solids 22 (2003) 591-602
20. Wang B.L., and Mai Y.W. Fracture of piezoelectromagnetic materials. Mechanics Research Communications 31 (2004) 65-73
21. Wang B.L., and Mai Y.W. Applicability of the crack-face electromagnetic boundary conditions for fracture of magnetoelectroelastic materials. International Journal of Solids and Structures 44 (2007) 387-398
22. Wang X.Y., and Yu S.W. Transient response of a crack in a piezoelectric strip objected to the mechanical and electrical impacts: Mode III problem. International Journal of Solids and Structures 37 (2000) 5795-5808
23. Zhou Z.G., Wu L.Z., and Wang B. The dynamic behavior of two collinear interface cracks in magneto-electro-elastic materials. European Journal of Mechanics A/Solids 24 (2005) 253-262