Abstract
We determine the field of nonlocal stresses and moment stresses caused by boundary dislocation in an infinite medium.
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Literature cited
I. A. Kunin,Theory of Elastic Media with a Microstructure. The Nonlocal Theory of Elasticity [in Russian], Nauka, Moscow (1975).
Yu. Z. Povstenko, “The diffusion equation for the concentration tensor,”Mat. Met. Fiz.-Mekh. Polya, No. 33, 36–39 (1991).
N. Ari, and A. C. Eringea “Nonlocal stress field at Griffith crack,”Cryst. Latt. Def. Amorph. Mat,10, 33–38 (1983).
A. C. Eringen, “Nonlocal polar elastic continua,”Int. J. Eng. Sci., 10, No. 1, 1–16 (1972).
A. C. Eringen, “Edge dislocation in nonlocal elasticity,”Int. J. Eng. Sci.,15, No. 3, 177–183 (1977).
A. C. Eringen, “On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves,”J. Appl. Phys.,54, No. 9, 4703–4710 (1983).
A. C. Eringen, “Vistas of nonlocal continuum physics,”Int. J. Eng. Sci.,30, No. 10, 1551–1565 (1992).
Z. Knésl and F. Semela, “The influence of couple-stresses on the elastic properties of an edge dislocation,”Int. J. Eng. Sci.,10, No. 1, 83–91 (1972).
W. Nowacki, “On discrete dislocations in micropolar elasticity,”Arch. Mech.,26, No. 1, 3–11 (1974).
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Translated fromMatematichni Metodi ta Fiziko-Mechanichni Polya, Vol. 40, No. 3, 1997, pp. 98–102.
This work was carried out in the framework of the Basic Research Fund of the Ukrainian State Commission for Support of Science and Technology.
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Povstenko, Y.Z., Matkovs'kii, O.A. Boundary dislocation in a nonlocally-elastic medium with moment stresses. J Math Sci 96, 2883–2886 (1999). https://doi.org/10.1007/BF02169000
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DOI: https://doi.org/10.1007/BF02169000