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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2020 Volume 13, Issue 2, Pages 213–217 (Mi jsfu832)

Anisotropic antiplane elastoplastic problem

Sergei I. Senashova, Irina L. Savostyanovaa, Olga N. Cherepanovab

a Reshetnev Siberian State University of Science and Technology, Russian Federation
b Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: In this work we solve an anisotropic antiplane elastoplastic problem about stress state in a body weakened by a hole bounded by a piecewise-smooth contour. We give the conservation laws which allowed us to reduce calculations of stress components to a contour integral over the contour of the hole. The conservation laws allowed us to find the boundary between the elastic and plastic areas.

Keywords: anisotropic elastoplastic problem, antiplane stress state, conservation laws.

UDC: 539.374

Received: 10.11.2019
Received in revised form: 11.01.2020
Accepted: 20.02.2020

Language: English

DOI: 10.17516/1997-1397-2020-13-2-213-217



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