Finite Element Method of Calculation of Efficient Characteristics of Composites with Periodical Structure

The finite element method is offered for solving so-called local problems of elasticity theory "at the periodicity cell" for composites with complex spatial reinforcement structures. The theoretical justifications of the method are given, among them a theorem on the continuation of the local problem solution to the symmetrical areas is proved. A software package is developed to solve local problems and to calculate efficient characteristics of composite materials. Comparison of calculation results for 1D-composite and 3D-composite material, having orthogonal reinforcement, obtained by different methods was conducted to have shown the high accuracy of the developed method.