Abstract
The equilibrium configuration of an array of dislocations in parallel equidistant slip planes under an external shear stress near a welded boundary between two isotropic half-spaces having different elastic constants is computed. For large external stress, the dislocations are arranged into an arc concave when seen from the boundary. It is concluded that such an arc is formed at the tip of a twin or of a martensitic plate near a phase boundary. The tensile stress across the boundary due to an edge dislocation array is discussed in connection with the formation of an interfacial crack.
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References
Dundurs J.,in Mathematical Theory of Dislocations (Edited by T. Mura), ASME, N.Y. 1969, p. 70.
Chou Y. T., Li J. C. M.,in Mathematical Theory of Dislocations (Edited by T. Mura), ASME, N.Y. 1969, p. 116.
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Engel V., Diploma Thesis, Technical University, Prague 1972.
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The authors are indebted to Professor K.Mazanec of the Research Institute of Vítkovice Steel Works for suggesting the problem and to Dr. V.Kohl for help in programming for the computer Minsk 22.
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Engel, V., Kroupa, F. Elastic interaction of a dislocation array with a phase boundary. Czech J Phys 23, 443–453 (1973). https://doi.org/10.1007/BF01594015
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DOI: https://doi.org/10.1007/BF01594015