The functional in the principle of minimum potential energy of layered anisotropic shells with a nonlinear relationship between strains and displacements is transformed into a canonical integral that coincides with the functional in the Reissner principle. Partial forms of the functional are derived for problem formulations where the dimension can be reduced with respect to one of the coordinates. The canonical system of equations is linearized and then normalized. The boundary-value problem is solved by the numerical discrete-orthogonalization method. An anisotropic spherical shell under external compression is analyzed for stability as an example
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Translated from Prikladnaya Mekhanika, Vol. 46, No. 2, pp. 53–63, February 2010.
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Boriseiko, A.V., Semenyuk, N.P. & Trach, V.M. Canonical equations in the geometrically nonlinear theory of thin anisotropic shells. Int Appl Mech 46, 165–174 (2010). https://doi.org/10.1007/s10778-010-0294-4
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DOI: https://doi.org/10.1007/s10778-010-0294-4