Taylor’s theory of crystal plasticity is reformulated for dislocations in a couple stress medium. The divergence between Taylor’s approach and an approach that includes the effects of couple stresses on dislocation interactions is demonstrated. It is shown that dislocations separated by a distance that is comparable to a characteristic material length scale, have mutual interaction somewhat weaker than that predicted by classical elasticity.
Interaction Between Dislocations in a Couple Stress Medium
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the Applied Mechanics Division, May 22, 2003; final revision; December 17, 2003. Associate Editor: M.-J. Pindera. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Journal of Applied Mechanics, Department of Mechanical and Environmental Engineering, University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
Shankar , M. R., Chandrasekar, S., and Farris, T. N. (September 7, 2004). "Interaction Between Dislocations in a Couple Stress Medium ." ASME. J. Appl. Mech. July 2004; 71(4): 546–550. https://doi.org/10.1115/1.1767172
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