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, 251–259 (1953)
- A. N. Stroh, Dislocations and cracks in anisotropic elasticity, Philos. Mag. (8) 3 (1958), 625–646. 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, 414–428 (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, 13–19 (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, 261–271 (1973)
T. Mura, A note on the strain field of a dislocation line in anisotropic media, Phys. Status Solidi B 70, K1–K6 (1975)
D. M. Barnett and J. Lothe, Line force loadings on anisotropic half-spaces and wedges, Phys. Norv. 8, 13–22 (1975)
P. Chadwick and G. D. Smith, Foundations of the theory of surface waves in anisotropic elastic materials, Adv. Appl. Mech. 17, 303–376 (1977)
J. Braekhus and J. Lothe, Dislocations at and near planar interfaces, Phys. Status Solidi B 43, 651–657 (1971)
D. M. Barnett and J. Lothe, An image force theorem for dislocations in anisotropic bicrystals, J. Phys. F 4, 1618–1635 (1974)
T. C. T. Ting, Line forces and dislocations in anisotropic elastic composite wedges and spaces, Phys. Status Solidi B, 14b, 81–90 (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, 563–578. 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, 109–120. 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, 537–542 (1987)
J. D. Eshelby, W. T. Read, and W. Shockley, Anisotropic elasticity with applications to dislocation theory, Acta Metall. 1, 251–259 (1953)
A. N. Stroh, Dislocations and cracks in anisotropic elasticity, Philos. Mag. 7, 625–646 (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, 414–428 (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, 13–19 (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, 261–271 (1973)
T. Mura, A note on the strain field of a dislocation line in anisotropic media, Phys. Status Solidi B 70, K1–K6 (1975)
D. M. Barnett and J. Lothe, Line force loadings on anisotropic half-spaces and wedges, Phys. Norv. 8, 13–22 (1975)
P. Chadwick and G. D. Smith, Foundations of the theory of surface waves in anisotropic elastic materials, Adv. Appl. Mech. 17, 303–376 (1977)
J. Braekhus and J. Lothe, Dislocations at and near planar interfaces, Phys. Status Solidi B 43, 651–657 (1971)
D. M. Barnett and J. Lothe, An image force theorem for dislocations in anisotropic bicrystals, J. Phys. F 4, 1618–1635 (1974)
T. C. T. Ting, Line forces and dislocations in anisotropic elastic composite wedges and spaces, Phys. Status Solidi B, 14b, 81–90 (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, 563–578 (1988)
T. C. T. Ting, Some identities and the structure of ${N_i}$ in the Stroh formalism of anisotropic elasticity, Quart. Appl. Math. 46, 109–120 (1988)
H. O. K. Kirchner, Line defects along the axis of rotationally inhomogeneous media, Phil. Mag. A, 55, 537–542 (1987)
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Article copyright:
© Copyright 1989
American Mathematical Society