ИСТИНА

The well-known finite element method is not effective in case of continuously heterogeneous media, such as functionally graded solids. But single finite superelement [1] can represent an inhomogeneous region, dependently of superelement's basis power. In the paper, a numerical model of a functionally graded elastic medium by the finite superelement method is constructed. The superelement is developed by meshless method [2] and based on Bernstein polynomials [3]. A number of problems of the theory of elasticity are considered: doubly periodic media are constructed from one or two types of characteristic regions under external loadings. The first heterogeneous region is a central damaged area; the second one is a central distributed inclusion. Several doubly periodic combinations of these regions were considered. Stress-strain states are obtained (an example of stress states are shown in fig. 1, 2).