Abstract
The problem of computing the stress fields around a polysynthetic twin near the surface under the action of a lumped or distributed load on the boundary of an elastic half-space is solved without using the thin twin approximation. It is found that the action of external stresses leads to the stress redistribution such that the stress localization is observed not only in the region of the external load action but also far from the vertices of the twins of the polysynthetic twin.
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References
M. V. Klassen-Neklyudova, Mechanical Twinning of Crystals (Izd-vo AN SSSR, Moscow, 1960; Consultants Bureau, New York, 1964).
O. M. Ostrikov, “Some Shape Characteristics of Wedgelike Twins in Bismuth Single Crystals Deformed by a Concentrated Load,” Fiz. Metal. Metalloved. 90(1), 91–95 (2000) [Phys.Met.Metallography (Engl. Transl.) 90 (1), 86–90 (2000)].
O. M. Ostrikov, “Classification of Polysynthetic Half-and-Halfs,” Vestnik GGTU im. P. O. Sukhogo, No. 2, 3–9 (2006).
K. L. Johnson, Contact Mechanics (Cambridge University Press, Cambridge, 1987; Mir, Moscow, 1989).
O. M. Ostrikov, “Dislocation Macroscopic Model of Wedge-Shaped Half-and-Half,” Vestnik GGTU im. P. O. Sukhogo, No. 2, 10–18 (2006).
A.M. Kosevich and L. A. Pastur, “On the Dislocation Model of a Twin,” Fiz. Tverd. Tela 3(4), 1290–1297 (1961).
A.M. Kosevich and V. S. Boiko, “Dislocation Theory of the Elastic Twinning of Crystals,” Uspekhi Fiz. Nauk 104(2), 201–255 (1971) [Sov. Phys. Usp. (Engl. Transl) 14 (3), 286–316 (1971)].
P. I. Polukhin, S. S. Gorelik, and V. K. Vorontsov, Physical Principles of Plastic Deformation (Metallurgiya, Moscow, 1982) [in Russian].
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Original Russian Text © O.M. Ostrikov, 2012, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2012, No. 3, pp. 78–88.
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Ostrikov, O.M. A method for computing the stress fields in a deformable elastic half-space with a polysynthetic twin near the surface. Mech. Solids 47, 324–332 (2012). https://doi.org/10.3103/S0025654412030065
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DOI: https://doi.org/10.3103/S0025654412030065