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TECHNICAL PAPERS

Interaction Between Dislocations in a Couple Stress Medium

[+] Author and Article Information
M. Ravi Shankar, Srinivasan Chandrasekar

School of Industrial Engineering, Purdue University, 315 N. Grant Street, West Lafayette, IN 47907-2023  

Thomas N. Farris

School of Aeronautics and Astronautics, Purdue University, 315 N. Grant Street, West Lafayette, IN 47907-2023

J. Appl. Mech 71(4), 546-550 (Sep 07, 2004) (5 pages) doi:10.1115/1.1767172 History: Received May 22, 2003; Revised December 17, 2003; Online September 07, 2004
Copyright © 2004 by ASME
Topics: Dislocations , Stress
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References

Taylor,  G. I., 1934, “The Mechanism of Plastic Deformation of Crystals,” Proc. R. Soc. London, Ser. A, 145, pp. 362–404.
Ashby,  M. F., 1970, “The Deformation of Plastically Non-Homogeneous Alloys,” Philos. Mag., 21, pp. 399–424.
Fleck,  N. A., Muller,  G. M., Ashby,  M. F., and Hutchinson,  J. W., 1994, “Strain Gradient Plasticity: Theory and Experiment,” Acta Metall. Mater., 42(2), pp. 475–487.
Mindlin,  R. D., and Tiersten,  H. F., 1962, “Effects of Couple Stresses in Linear Elasticity,” Arch. Ration. Mech. Anal., 11, pp. 415–448.
Mindlin,  R. D., 1963, “Influence of Couple-Stresses on Stress Concentrations,” Exp. Mech., 3, pp. 1–7.
Cottrell, A. H., 1956, Dislocations and Plastic Flow in Crystals, Oxford University Press, Oxford, UK.
Eringen,  A. C., 1983, “On Differential Equations of Nonlocal Elasticity and Solutions of Screw Dislocations and Surface Waves,” J. Appl. Phys., 54(9), pp. 4703–4710.
Gutkin,  M. Y., and Aifantis,  E. C., 1999, “Dislocations in the Theory of Gradient Elasticity,” Scr. Mater., 40, pp. 559–566.

Figures

Grahic Jump Location
Stress and couple stress in polar coordinates
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Elastic cylinder with dislocation
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Positive and negative dislocations in the presence of a remote shear stress
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Variation of nondimensional interaction shear stress with x/h for h=10l. The material parameters used are those for copper given in Tables 1 and 2.
Grahic Jump Location
Variation of nondimensional interaction shear stress with x/h for h=3l. The material parameters used are those for copper in Tables 1 and 2.
Grahic Jump Location
Variation of the maximum nondimensional interaction shear stress with h/l. The material properties used are those for copper given in Tables 1 and 2.

Tables

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