A. Y. Grigorenko, A. S Bergulyov and S. N. Yaremchenko, “Third-Dimensional Boundary Value Problem Solution for the Bend of Rectangular Disks,” Reports of the National academy of sciences of Ukraine, No. 10, 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.