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.