A new approach to solving three-dimensional elliptic linear boundary-value problems with nonseparable variables is developed using the ideas of methods of finite integral transforms. It consists in setting up a coupled system of three integral transforms with three pairs of independent variables of the domain, from which the transforms and kernels are determined. The approach is used to solve static problems for anisotropic prisms with elastic properties of low order of symmetry and arbitrary conditions on the faces. The approach is tested and the deformation of specific bodies of this class is analyzed.
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Translated from Prikladnaya Mekhanika, Vol. 54, No. 1, pp. 52–67, January–February, 2017.
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Bespalova, E.I. Generalized Method of Finite Integral Transforms in Static Problems for Anisotropic Prisms. Int Appl Mech 54, 41–55 (2018). https://doi.org/10.1007/s10778-018-0858-2
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DOI: https://doi.org/10.1007/s10778-018-0858-2