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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 2, Pages 152–165
(Mi pmtf2490)
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Independent-stress method for analysis of nonlinear antiplane strain
V. D. Bondar' Novosibirsk State University, Novosibirsk, 630090
Abstract:
The stress field in a cylindrical body under antiplane strains is studied using the nonlinear theory of elasticity in actual variables under assumptions of the absence of body forces and weak nonlinearity of the elastic potential. The stresses are determined by solving the nonlinear boundary-value problem for two independent stresses in polar coordinates of the physical and stress planes. Analytical solutions of the nonlinear problems are obtained. The effect of potential nonlinearity is studied. It is shown that the nonlinear problem can be solved using the harmonic-equation solution corresponding to the linear potential.
Keywords:
displacement, strain, stress, potential, nonlinearity, analytical solution, stress plane, boundary-value problem.
Received: 30.09.2002
Citation:
V. D. Bondar', “Independent-stress method for analysis of nonlinear antiplane strain”, Prikl. Mekh. Tekh. Fiz., 44:2 (2003), 152–165; J. Appl. Mech. Tech. Phys., 44:2 (2003), 279–289
Linking options:
https://www.mathnet.ru/eng/pmtf2490 https://www.mathnet.ru/eng/pmtf/v44/i2/p152
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