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IssuesArchive of Issues2008-1pp.137-145

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O. M. Ostrikov, "Electrostatic analogy method in the lenticular twin model," Mech. Solids. 43 (1), 137-145 (2008)
Year 2008 Volume 43 Number 1 Pages 137-145
DOI 10.3103/S0025654408010147
Title Electrostatic analogy method in the lenticular twin model
Author(s) O. M. Ostrikov (Sukhoi Gomel State Technical University, pr-t Oktyabrya 48, Gomel, 246746, Republic of Belarus, ostrikov@gstu.gomel.by)
Abstract We use the electrostatic analogy method in the approximation where the elastic vortex field is absent to analyze the stress state of a lenticular twin. We consider the cases in which the stresses have the same or opposite signs on the twin boundaries. We show that the normal stresses on the lenticular twin are equal to each other, while the shear stresses satisfy the conditions τxyyx, τxzzx, and τyzzy.
References
1.  J. P. Hirt and J. Lothe, Theory of Dislocations (McGraw-Hill, New York, 1968; Atomizdat, Moscow, 1972; Wiley, New York, 1982).
2.  V. I. Kruglov et al. (Editors) Foundations of Scientific Studies (Vysshaya Shkola, Moscow, 1989) [in Russian].
3.  M. V. Klassen-Neklyudova, Mechanical Twinning of Crystals (Izd-vo AN SSSR, Moscow, 1960; Consultants Bureau, New York, 1964).
4.  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)].
5.  V. S. Savenko and O. M. Ostrikov, "Stress Field at the Boundary of a Wedge-Shaped Twin," Pisma Zh. Eksper. Teoret. Fiz. 23(22), 1-6 (1997) [JETP Lett. (Engl. Transl.) 23 (11), 858-860 (1997)].
6.  O. M. Ostrikov, "Stress State at the Vertex of a Wedge Twin," Izv. Akad. Nauk. Mekh. Tverd. Tela. No. 2, 104-113 (2004) [Mech. Solids (Engl. Trans.) 23 (2), 82-88 (2004)].
7.  O. M. Ostrikov, "Stressed State near a Wedge-Shaped Twin with a Disbalance of Densities of Twinning Dislocations," Zh. Prikl. Mekh. Tekh. Fiz. 43(4), 180-182 (2002) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 43 (4), 638-639 (2002)]
8.  I. E. Irodov, Foundations of Electromagnetism Laws (Vysshaya Shkola, Moscow, 1983) [in Russian].
9.  Ya. P. Terletskii and Yu. P. Rybakov, Electrodynamics (Vysshaya Shkola, Moscow, 1990) [in Russian].
10.  A. P. Ryabushko, V. V. Barkhatov, V. V. Derzhavets, and I. E. Yurut, Individual Tasks in Higher Mathematics: Series. Multiple and Curvilinear Integrals. Elements of Field Theory (Vysshaya Shkola, Moscow, 2004) [in Russian].
11.  V. M. Finkel, V. A. Fedorov, and A. P. Korolev, Crystal Destruction under Mechanical Twinning (Izd-vo Rostov-na-Donu, Rostov-on-Don, 1990) [in Russian].
12.  V. S. Savenko and O. M. Ostrikov, "Calculating the Strain Fields near a Twinning Duplicate," Izv. Nat. Akad. Nauk. Belarusi, Ser. Fiz.-Mat. Nauk, No. 3, 91-94 (1998).
13.  A. V. Aleksandrov and V. D. Potpov, Foundations of Theory of Elasticity and Plasticity (Vysshaya Shkola, Moscow, 1990) [in Russian].
Received 18 January 2005
Link to Fulltext http://www.springerlink.com/content/g2q0q2059q2721h5
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