International Applied Mechanics

, Volume 54, Issue 1, pp 41–55 | Cite as

Generalized Method of Finite Integral Transforms in Static Problems for Anisotropic Prisms

  • E. I. Bespalova

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.


finite integral transform method new approach three-dimensional problems anisotropic prisms 


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyivUkraine

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