A. Y. Grigorenko, A. S Bergulyov and S. N. Yaremchenko, “The Solution of the Spatial Boundary Value Problems about Rectangular Plates Bending,” Proceedings of the National Academy of Sciences of Ukraine, No. 10, 2010, pp. 44-51.

has been cited by the following article:

• TITLE: The Calculation of Stress-Strain State of Anisotropic Composite Finite-Element Area with Different Boundary Conditions on the Surface

  AUTHORS: Bergulyov Anton

  KEYWORDS: Composite Finite-Element Areas; Boundary Conditions; Elasticity Theory; Spline Approximation; Collocation Methods

  JOURNAL NAME: World Journal of Mechanics, Vol.4 No.1, January 23, 2014

  ABSTRACT: The numerical analytic research approach of stress-strain state of anisotropic composite finite element area with different boundary conditions on the surface, is represented below. The problem is solved by using a spatial model of the elasticity theory. Differential equation system in partial derivatives reduces to one-dimensional problem using spline collocation method in two coordinate directions. Boundary problem for the system of ordinary higher-order differential equation is solved by using the stable numerical technique of discrete orthogonalization.