Effect of Holes on the Stress of Fibrous Materials
Annotatsiya
This study investigates the mechanical behavior and stress distribution in fibrous composite materials that contain geometric discontinuities in the form of holes. The focus lies on elastic-plastic deformation processes in transversely isotropic materials comprising two main components: reinforcing fibers and a matrix that enables stress transfer between them. Utilizing a simplified theory of small elastic-plastic deformations developed by professor Pobedrya, the research models the mechanical response of fibrous structures under external loads, specifically considering the case where the fibers exhibit significantly higher stiffness compared to the matrix. The computational approach is based on the finite element method and the theory of elasticity for anisotropic bodies. A series of simulations were conducted to explore how variations in hole geometry – from circular to elliptical to rectilinear cracks – affect stress concentrations, particularly shear stresses and plastic strain intensities. By systematically varying the aspect ratio of elliptical holes and analyzing critical points near the hole boundaries, the study identifies the configurations that most strongly influence the structural integrity of fibrous composites. The results provide valuable insights into stress localization mechanisms, matrix-fiber interaction behavior, and potential failure modes in advanced composite materials.