The Two-Scale Methods for Mechanics Parameter Computation of Composite Materials with Periodic Distribution

In this paper, the Two-Scale computation Method (TSM) is presented for the mechanics parameters of composite materials with small periodic configuration, including stiffness parameters and strength parameters. First the major formulation of the Two-Scale Asymptotic expressions (TSA) for composite materials with periodic configuration is briefly given. And then the two-scale computation (TSM) formulation of the strains and stresses in conventionally strength experimental components, such as the tension of the column with square cross section, the bending of the cantilever with rectangular cross section and the twist of the column with circle cross section, which are made from the composite materials with the same basic cells, is developed by means of the fundamental solutions, and the procedure of TSM computation is discussed. Finally the numerical results for both stiffness and strength parameter computation are demonstrated in three kinds of typical components. And they have been compared with the experimental those, both TSM and experimental results are very close. They show that the TSM method given in this paper is feasible and valid for both stiffness and strength parameter prediction of the composite materials with periodic configuration.