Mathematics in Education, Research and Applications (MERAA), 2019(5), 2
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Published online 2019-12-01
DOI:https://doi.org/10.15414/meraa.2019.05.02.61-68
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