Abstract
The paper presents a mathematical model for constructing the stress-strain state of an anisotropic cylindrical body of a finite length with kinematic conditions specified on the body surface and the conditions being non-axisymmetric. The cylinder material is characterized by rectilinear transversal isotropy. The model is constructed on the basis of the boundary state method. The bases of the internal and boundary state spaces are formed and orthogonalized after which the desired elastic state is expanded in a Fourier series according to the elements of the orthonormal basis, the problem being to calculate the coefficients of the constructed series. A solution to the second fundamental problem of elasticity for a circular cylinder made of a hypothetical anisotropic large dark gray siltstone is presented. The accuracy of the solution is assessed and a graphical visualization of the result is provided.
Published Version
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