Reducing three-dimensional elasticity problems to two-dimensional problems by approximating stresses and displacements by legendre polynomials |
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Authors: | Yu M Volchkov L A Dergileva |
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Institution: | (1) Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090 |
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Abstract: | Shell equations are constructed in orthogonal curvilinear coordinates using approximations of stresses and displacements by
Legendre polynomials. The order of the constructed system of differential equations is independent of whether stresses and
displacements or their combination are specified on the shell surfaces, which provides the correct formulation of the surface
conditions in terms of both displacements and stresses. This allows the system of differential equations of laminated shells
to be constructed using matching conditions for displacements and stresses on the contact surfaces.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 3, pp. 179–190, May–June, 2007. |
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Keywords: | shell equations Legendre polynomials elastic curvilinear layer |
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