Full-field analysis of a planar anisotropic layered half-plane for concentrated forces and edge dislocations

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 458, Issue 2026, 2002, Pages 2369-2392

  Ma, Chien Ching ^a   Lin, Ru Li ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Anisotropic elastic material; Fourier transformation; Image method; Layered half plane

Indexed keywords

EID: 57249095534     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2002.0974     Document Type: Article

References (28)

1. Barnett, D. M. & Lothe, J. 1974 An image force theorem for dislocations in bicrystals. J. Phys. F 4, 1618-1635.
2. Buchwald, V. T. 1964 Eigenfunctions of plane elastostatics. Proc. R. Soc. Lond. A 227, 385-400.
3. Chiu, Y. T. & Wu, K. C. 1998 Analysis for elastic strips under concentrated loads. ASME J. Appl. Mech. 44, 424-430.
4. Chou, Y. T. 1963 Planar stress field of a dislocation in anisotropic plate. J. Appl. Phys. 34, 3608-3614.
5. Chou, Y. T. 1966 Screw dislocations in and near lamellar inclusions. Physica Status Solidi B 17, 509-516.
6. Dundurs, J. & Sendeckyj, G. P. 1965 Behavior of an edge dislocation near bimetallic interface. J. Appl. Phys. 36, 3353-3354.
7. Eshelby, J. D., Read, W. T. & Shockley, W. 1953 Anisotropic elasticity with applications to dislocation theory. Acta Metall. 1, 251-259.
8. Gibson, R. F. 1994 Principles of composite material mechanics. McGraw-Hill.
9. Head, A. K. 1953 The interaction of dislocations and boundaries. Phil. Mag. 44, 92-94.
10. Kamat, S. V., Hirth, J. P. & Carnahan, B. 1987 Image forces on screw dislocations in multilayer structures. Scr. Metall. 21, 1587-1592.
11. Lee, M. S. & Dundurs, J. 1973 Edge dislocation in a surface layer. Int. J. Engng Sci. 11, 87-94.
12. Lekhnitskii, S. G. 1963 Theory of elasticity of an anisotropic elastic body. San Francisco, CA: Holden-Day.
13. Lin, R. L. & Ma, C. C. 2000 Antiplane deformations for anisotropic multilayered media by using the coordinate transform method. ASME J. Appl. Mech. 67, 597-605.
14. Ma, C. C. & Lin, R. L. 2001 Image singularities of Green's functions for an isotropic elastic half-plane subjected to forces and dislocations. Math. Mech. Solids 6, 503-524.
15. Moss, W. C. & Hoover, W. G. 1978 Edge-dislocation displacements in a elastic strip. J. Appl. Phys. 49, 5449-5451.
16. Muskhelishvili, N. I. 1975 Some basic problems of the mathematical theory of elasticity, 4th edn. Groningen: Noordhoff.
17. Nabarro, F. R. N. & Kostlan, E. J. 1978 The stress fields of a dislocation lying in a plate. J. Appl. Phys. 49, 5445-5448.
18. Öveçoǧlu, M. L., Doerner, M. F. & Nix, W. D. 1987 Elastic interactions of screw dislocations in thin films on substrates. Acta Metall. 35, 2947-2957.
19. Peach, M. D. & Koehler, J. S. 1950 The force exerted on dislocations and the stress field produced by them. Phys. Rev. 80, 436-439.
20. Stagni, L. & Lizzio, R. 1986 The elastic field within an internally stressed infinite strip. Int. J. Engng Sci. 4, 471-477.
21. Stroh, A. N. 1958 Dislocations and cracks in anisotropic elasticity. Phil. Mag. 3, 625-646.
22. Suo, Z. 1990 Singularities, interfaces and cracks in dissimilar anisotropic media. Proc. R. Soc. Lond. A 427, 331-358.
23. Ting, T. C. T. 1992 Image singularities of Green's functions for anisotropic elastic half-spaces and bimaterials. Q. J. Mech. Appl. Math. 45, 119-139.
24. Ting, T. C. T. 1996 Anisotropic elasticity: theory and applications. Oxford University Press.
25. Ting, T. C. T. & Barnett, D. M. 1993 Image force on line dislocations in anisotropic elastic half-spaces with a fixed boundary. Int. J. Solids Struct. 30, 92-94.
26. Tullini, N. & Savoia, M. 1999 Elasticity interior solution for orthotropic strips and the accuracy of beam theories. ASME J. Appl. Mech. 66, 368-373.
27. Weeks, R., Dundurs, J. & Stippes, M. 1968 Exact analysis of an edge dislocation near a surface layer. Int. J. Engng Sci. 6, 365-372.
28. Wu, K. C. & Chiu, Y. T. 1995 The elastic fields of a dislocations in an anisotropic strip. Int. J. Solids Struct. 32, 543-552.