Numerical modeling of the stress state of constructions from fibrous composites

Abstract

Abstract The paper is devoted to numerical modeling of the deformed state of physically nonlinear transversely isotropic bodies with an aperture. To solve the problem of the theory of plasticity, a simplified theory of small elastoplastic deformations for a transversely isotropic body is used. In work, to describe the anisotropy of the mechanical properties of transversely isotropic materials, a structural-phenomenological model is used. It allows you to represent the source material in the form of a complex of two jointly working isotropic materials. The main material is considered from the standpoint of continuum mechanics. The fiber material is oriented along the anisotropy direction of the starting material. It is assumed that the fibers perceive only the axial tensile-compression forces and are deformed together with the main material. The presentation of fibrous composites in the form of homogeneous anisotropic materials with effective mechanical parameters allows a fairly accurate calculation of structures with stress concentrators. Based on a simplified theory and finite element method, a computer model of nonlinear deformation of fibrous composites is constructed. The influence of the configuration of holes and a rectangular crack on the distribution of deformation and stress fields in the vicinity of these concentrators is investigated.