Line forces and dislocations in angularly inhomogeneous anisotropic elastic wedges and spaces
Author:
T. C. T. Ting
Journal:
Quart. Appl. Math. 47 (1989), 123-128
MSC:
Primary 73C30; Secondary 73C40, 73S05
DOI:
https://doi.org/10.1090/qam/987901
MathSciNet review:
987901
Full-text PDF Free Access
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Additional Information
J. D. Eshelby, W. T. Read, and W. Shockley, Anisotropic elasticity with applications to dislocation theory, Acta Metall. 1, 251โ259 (1953)
- A. N. Stroh, Dislocations and cracks in anisotropic elasticity, Philos. Mag. (8) 3 (1958), 625โ646. MR 94961
D. M. Barnett and L. A. Swanger, The elastic energy of a straight dislocation in an infinite anisotropic elastic medium, Phys. Status Solidi B 48, 414โ428 (1971)
D. M. Barnett and J. Lothe, Synthesis of the sextic and the integral formalism for dislocation, Green functions and surface waves in anisotropic elastic solids, Phys. Norv. 7, 13โ19 (1973)
R. J. Asaro, J. P. Hirth, D. M. Barnett, and J. Lothe, A further synthesis of sextic and integral theories for dislocations and line forces in anisotropic media, Phys. Status Solidi B 60, 261โ271 (1973)
T. Mura, A note on the strain field of a dislocation line in anisotropic media, Phys. Status Solidi B 70, K1โK6 (1975)
D. M. Barnett and J. Lothe, Line force loadings on anisotropic half-spaces and wedges, Phys. Norv. 8, 13โ22 (1975)
P. Chadwick and G. D. Smith, Foundations of the theory of surface waves in anisotropic elastic materials, Adv. Appl. Mech. 17, 303โ376 (1977)
J. Braekhus and J. Lothe, Dislocations at and near planar interfaces, Phys. Status Solidi B 43, 651โ657 (1971)
D. M. Barnett and J. Lothe, An image force theorem for dislocations in anisotropic bicrystals, J. Phys. F 4, 1618โ1635 (1974)
T. C. T. Ting, Line forces and dislocations in anisotropic elastic composite wedges and spaces, Phys. Status Solidi B, 14b, 81โ90 (1988)
C. H. Wu and Chao-Hsun Chen, Wedge-apex crack in an angularly inhomogeneous wedge, J. Appl. Mech., in press (1989)
- T. C. T. Ting, The anisotropic elastic wedge under a concentrated couple, Quart. J. Mech. Appl. Math. 41 (1988), no. 4, 563โ578. MR 980217, DOI https://doi.org/10.1093/qjmam/41.4.563
- T. C. T. Ting, Some identities and the structure of ${\bf N}_i$ in the Stroh formalism of anisotropic elasticity, Quart. Appl. Math. 46 (1988), no. 1, 109โ120. MR 934686, DOI https://doi.org/10.1090/S0033-569X-1988-0934686-3
H. O. K. Kirchner, Line defects along the axis of rotationally inhomogeneous media, Phil. Mag. A, 55, 537โ542 (1987)
J. D. Eshelby, W. T. Read, and W. Shockley, Anisotropic elasticity with applications to dislocation theory, Acta Metall. 1, 251โ259 (1953)
A. N. Stroh, Dislocations and cracks in anisotropic elasticity, Philos. Mag. 7, 625โ646 (1958)
D. M. Barnett and L. A. Swanger, The elastic energy of a straight dislocation in an infinite anisotropic elastic medium, Phys. Status Solidi B 48, 414โ428 (1971)
D. M. Barnett and J. Lothe, Synthesis of the sextic and the integral formalism for dislocation, Green functions and surface waves in anisotropic elastic solids, Phys. Norv. 7, 13โ19 (1973)
R. J. Asaro, J. P. Hirth, D. M. Barnett, and J. Lothe, A further synthesis of sextic and integral theories for dislocations and line forces in anisotropic media, Phys. Status Solidi B 60, 261โ271 (1973)
T. Mura, A note on the strain field of a dislocation line in anisotropic media, Phys. Status Solidi B 70, K1โK6 (1975)
D. M. Barnett and J. Lothe, Line force loadings on anisotropic half-spaces and wedges, Phys. Norv. 8, 13โ22 (1975)
P. Chadwick and G. D. Smith, Foundations of the theory of surface waves in anisotropic elastic materials, Adv. Appl. Mech. 17, 303โ376 (1977)
J. Braekhus and J. Lothe, Dislocations at and near planar interfaces, Phys. Status Solidi B 43, 651โ657 (1971)
D. M. Barnett and J. Lothe, An image force theorem for dislocations in anisotropic bicrystals, J. Phys. F 4, 1618โ1635 (1974)
T. C. T. Ting, Line forces and dislocations in anisotropic elastic composite wedges and spaces, Phys. Status Solidi B, 14b, 81โ90 (1988)
C. H. Wu and Chao-Hsun Chen, Wedge-apex crack in an angularly inhomogeneous wedge, J. Appl. Mech., in press (1989)
T. C. T. Ting, The anisotropic elastic wedge under a concentrated couple, Quart. J. Mech. Appl. Math., 41, 563โ578 (1988)
T. C. T. Ting, Some identities and the structure of ${N_i}$ in the Stroh formalism of anisotropic elasticity, Quart. Appl. Math. 46, 109โ120 (1988)
H. O. K. Kirchner, Line defects along the axis of rotationally inhomogeneous media, Phil. Mag. A, 55, 537โ542 (1987)
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Article copyright:
© Copyright 1989
American Mathematical Society
