Finite element modeling of elastic moduli and microstresses in textile carbon-carbon composites

Abstract

sThe problem of detailed calculation of micro-stresses in textile composite materials under arbitrary types of loading is considered. A model for calculating the effective characteristics of textile composites considering the real complex curvilinear anisotropy of fibers in tissues is proposed. The model is based on the asymptotic homogenization method, whereby local problems of elasticity theory for a curvilinear anisotropic body are formulated. For the numerical solution of these problems, the finite element method is used. The implementation of the proposed method was carried out within the framework of the SMCM software package, developed at the Department of Computational Mathematics and Mathematical Physics of the Bauman Moscow State Technical University. The SMCM software package allows you to perform a full cycle of finite element modeling, including the stages of pre-processing and post-processing. An example of numerical modeling of a textile carbon-carbon composite of twill weaving is carried out. It is shown that the developed software package provides (a very high accuracy of calculations of the effective elastic properties of composites. The comparison was carried out with the calculations obtained using the ANSYS software, which was modified to provide the possibility of solving local problems, the relative deviation in the calculations of the effective elastic constants did not exceed (-7) degrees.