On the unified approach to anisotropic and isotropic elasticity for singularity, interface and crack in dissimilar media

International Journal of Solids and Structures

Volumn 40, Issue 6, 2003, Pages 1411-1431

  Choi, S T ^a   Shin, H ^a   Earmme, Y Y ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

Anisotropic elasticity; Bimaterial; Conservation integral; Crack; Isotropic elasticity; Singularity

Indexed keywords

ANISOTROPY; BOUNDARY VALUE PROBLEMS; CRACKS; INTERFACES (MATERIALS);

ISOTROPIC ELASTICITY;

ELASTICITY;

ELASTICITY;

EID: 0037369307     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(02)00671-6     Document Type: Article

References (29)

1. Barnett, D.M., Lothe, J., 1973. Synthesis of the sextic and the integral formalism for dislocations, Green's function and surface waves in anisotropic elastic solids. Phys. Nor. 7, 13-19.
2. Beom, H.G., Atluri, S.N., 1995. Dependence of stress on elastic constants in an anisotropic bimaterial under plane deformation and the interfacial crack. Computat. Mech. 16, 106-113.
3. Beom, H.G., Atluri, S.N., 1996. Near-tip fields and intensity factors for interfacial cracks in dissimilar anisotropic piezoelectric media. Int. J. Fract. 75, 163-183.
4. Budiansky, B., Rice, J.R., 1973. Conservation laws and energy-release rates. ASME J. Appl. Mech. 40, 201-203.
5. Chen, F.H.K., Shield, R.T., 1977. Conservation laws in elasticity of the J-integral type. ZAMP J. Appl. Math. Phys. 28, 1-22.
6. Cho, Y.J., Beom, H.G., Earmme, Y.Y., 1994. Application of a conservation integral to an interface crack interacting with singularities. Int. J. Fract. 65, 63-73.
7. Choi, N.Y., Earmme, Y.Y., 1992. Evaluation of stress intensity factors in circular arc-shaped interfacial crack using L-integral. Mech. Mater. 14, 141-153.
8. Choi, S.T., Earmme, Y.Y., 2002a. Elastic study on singularities interacting with interfaces using alternating technique: Part I. Anisotropic trimaterial. Int. J. Solids Struct. 39, 943-957.
9. Choi, S.T., Earmme, Y.Y., 2002b. Elastic study on singularities interacting with interfaces using alternating technique: Part II. Isotropic trimaterial. Int. J. Solids Struct. 39, 1199-1211.
10. Dundurs, J., 1969. Discussion: Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading. ASME J. Appl. Mech. 36, 650-652.
11. Eshelby, J.D., Read, W.T., Shockley, W., 1953. Anisotropic elasticity with applications to dislocation theory. Acta Metall. 1, 251-259.
12. Go, J.S., Cho, Y.H., 1999. Experimental evaluation of anodic bonding process based on the Taguchi analysis of interfacial fracture toughness. Sensor. Actuator. 73, 52-57.
13. Kim, J.H., Moon, H.J., Earmme, Y.Y., 2001. Inplane and antiplane T-stresses for an interfacial crack in anisotropic bimaterial. Mech. Mater. 33, 21-33.
14. Labossiere, P.E.W., Dunn, M.L., Cunningham, S.J., 2002. Application of bimaterial interface corner failure mechanics to silicon/glass anodic bonds. J. Mech. Phys. Solids 50, 405-433.
15. Lekhnitskii, S.G., 1963. Theory of elasticity of an anisotropic body. Holden-Day, Inc, San Francisco.
16. Muskhelishvili, N.I., 1953. Some basic problems of the mathematical theory of elasticity. Noordho., Groningen.
17. Qu, J., Li, Q., 1991. Interfacial dislocations and its application to interface cracks in anisotropic bimaterials. J. Elasticity 26, 169-195.
18. Qu, J., 1992. Green's function in anisotropic bimaterials. In: Wu, J.J., Ting, T.C.T., Barnett, D.M. (Eds.), Modern theory of anisotropic elasticity and applications. pp. 62-73.
19. Qu, J., Bassani, J.L., Li, Q.Q. 1992. Interfacial dislocation in anisotropic bimaterials, ASTM, Special Technical Publication 1131, pp. 578-589.
20. Qu, J., Bassani, L., 1993. Interfacial fracture mechanics for anisotropic bimaterials. ASME J. Appl. Mech. 60, 422-431.
21. Rice, J.R., 1968. A path-independent integral and the approximate analysis of strain concentration by notches and cracks. ASME J. Appl. Mech. 35, 379-386.
22. Rice, J.R., 1988. Elastic fracture mechanics concepts for interfacial cracks. ASME J. Appl. Mech. 55, 98-103.
23. Stroh, A.N., 1958. Dislocations and cracks in anisotropic elasticity. Phil. Mag. 3, 625-646.
24. Suo, Z., 1989. Singularities interacting with interfaces and cracks. Int. J. Solids Struct. 25, 1133-1142.
25. Suo, Z., 1990. Singularities, interfaces and cracks in dissimilar anisotropic media. Proc. R. Soc. Lond. A 427, 331-358.
26. Ting, T.C.T., 1995. Generalized Dundurs constants for anisotropic bimaterials. Int. J. Solids Struct. 32, 483-500.
27. Ting, T.C.T., 1996. Anisotropic Elasticity: Theory and Applications. Oxford University Press, New York.
28. Ting, T.C.T., Hwu, C., 1988. Sextic formalism in anisotropic elasticity for almost non-semisimple matrix N. Int. J. Solids Struct. 24, 65-76.
29. Yeh, C.S., Shu, Y.C., Wu, K.C., 1993. Conservation laws in anisotropic elasticity I. Basic frame work. Proc. R. Soc. Lond. A443, 39-151.