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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 4, Pages 167–175
(Mi pmtf2181)
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This article is cited in 1 scientific paper (total in 1 paper)
Theory of large-strain torsion of prismatic bodies with moment stresses
A. A. Zelenina Vorovich Institute of Mechanics and Applied Mathematics, Rostov-on-Don State University, Rostov-on-Don, 344090
Abstract:
The problem of the torsion and tension-compression of a prismatic bar with a stress-free lateral surface is studied using three-dimensional elasticity theory for materials with moment stresses. A substitution is found that allows one to separate one variable in the nonlinear equilibrium equations for a Cosserat continuum and boundary conditions on the lateral surface. This substitution reduces the original spatial problem of the equilibrium of a micropolar body to a two-dimensional nonlinear boundary-value problem for a plane region shaped like the cross section of the prismatic bar. Variational formulations of the two-dimensional problem for the section are given that differ in the sets of varied functions and the constraints imposed on their boundary values.
Keywords:
large strains, moment stresses, nonlinear Saint Venant’s problem.
Received: 12.09.2005
Citation:
A. A. Zelenina, “Theory of large-strain torsion of prismatic bodies with moment stresses”, Prikl. Mekh. Tekh. Fiz., 47:4 (2006), 167–175; J. Appl. Mech. Tech. Phys., 47:4 (2006), 600–607
Linking options:
https://www.mathnet.ru/eng/pmtf2181 https://www.mathnet.ru/eng/pmtf/v47/i4/p167
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