Solution of contact problems on the basis of a refined theory of plates and shells |
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| Authors: | Yu M Volchkov D V Vajeva |
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| Institution: | (1) Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia;(2) Novosibirsk State University, Novosibirsk, 630090, Russia |
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| Abstract: | Solutions of contact mixed boundary-value problems for a plate and for a cylindrical shell are given. These solutions are
obtained with the use of equations for shells constructed by expanding solutions of elasticity theory equations with respect
to the Legendre polynomials. Results of numerical simulations of the stress state in the vicinity of points with changing
conditions on the frontal faces of the shell are presented. The results obtained are compared with analytical solutions of
elasticity theory problems and with solutions obtained on the basis of the classical equations of the shell theory.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 5, pp. 169–176, September–October, 2008. |
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| Keywords: | layered shells Legendre polynomials contact problems stress-strain state |
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