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Mathematics in Education, Research and Applications (MERAA), 2019(5), 2

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Published online 2019-12-01

The universal solution of equations of balance of the transversely isotropic plate with initial stresses with slippery strength of the flat borders

Oksana Strigina, Ivan Khoma
Bila Tserkva National Agrarian University, Department of Mathematics and Physic, Ukraine/ National Academy of Sciences of Ukraine, Institute of Mechanics S.P. Timoshenko, Ukraine

Article Fulltext (PDF), pp. 61–68

The topic of this paper is concentrated on the problem of mechanics of a deformed solid. In the first part we solved equilibrium equations of a transversal isotropic plate with initial stresses under mixed conditions on planar faces where we applied the method of decomposition of the sought functions into Fourier series by Legendre polynomials. Normal displacement and tangent voltage were assumed to be zero. In the second part we proposed a method of representing the general analytical solution of the obtained equilibrium equations

Keywords: transversely isotropic plate, initial stresses, equations of balance, universal solution
JEL Classification: C02, C30