Summary: There is a numerical and analytical approach to research of stress-strain state of an anisotropic composite finite element field with different boundary conditions on the surface. The problem is solved using a three-dimensional model of the theory of elasticity. The system of differential equations is reduced to one-dimensional problem through the use of spline-collocation in the two coordinate directions. Boundary value problem for a system of ordinary differential equations of higher order is decided with the stable numerical method of discrete orthogonalization.
Key words: stress-strain state, partial differential equations, method of spline collocation, method of discrete orthogonalization, anisotropic finite element region.