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Elasticity Boundary-Value Problems for Straight Wedge Disclinations. A Review on Methods and Results
Authors
A.E. Romanov 1, 2 , A.L. Kolesnikova 1, 31 ITMO University, Kronverkskiy pr. 49, St. Petersburg, 197101, Russia
2 Ioffe Physical-Technical Institute, Russian Academy of Sciences, Politekhnicheskaya str., 26, St. Petersburg, 194021, Russia
3 Institute for Problems in Mechanical Engineering, V.O., Bolshoj pr., 61, Russian Academy of Sciences, St. Petersburg, 199178, Russia
Rev. Adv. Mater. Technol., 2021, vol. 3, no. 1, pp. 55–95
Abstract
The review presents up-to-date information on the analytical solutions of the isotropic elasticity boundary-value problems for straight wedge disclinations. The considered plane elasticity problems include those for disclinations in uniform or two-phase cylinders, at a free surface of a half-space, and in a plate of finite thickness. Three-dimensional problems under analysis deal with wedge disclinations in a bulk sphere or spherical layer or with the defects with the lines being normal to a free surface of a half-space or to surfaces of the plate. Applications of the given solutions to explanation and prediction of various structure dependent properties of solids are briefly discussed.
Foundings
Russian Science Foundation: project No. 19-19-00617.
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Volume 3, No 1
pages 55-95
History
Receive Date:
10
March
2021
Accepted Date:
29
March
2026
Available online:
29
March
2026
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This is an open access article under the terms
of the CC BY-NC 4.0 license.
Metadata is available under the terms of the CC BY 4.0 license