The influence of elliptical cuts and cracks on the deformation of boron aluminum plates

The impact of the configuration of a hole on the physically nonlinear strain of the boron/aluminum structure is studied in the article. It presents a structural-phenomenological model to describe the anisotropy of mechanical properties of fiber materials. This model allows the base material to be represented as a set of two isotropic materials that work together. The base material is considered in terms of continuum mechanics, with the fiber material oriented along the direction of anisotropy of the base material. It is assumed that the parallel fibers are subjected only to axial tensile- compression forces and are stressed together with the base material. The authors use relations that account for the material internal structure to calculate mechanical parameters of fibers. These calculations are based on the method of asymptotic averaging and are appropriate for any values of properties and volume fractions of components. The authors have conducted a computational experiment to investigate the effect of the aspect ratio of elliptical hole and horizontal crack on the stress-strain state of boron/aluminum in the vicinity of concentrators. They determine the areas with the highest values of shear stresses, where high-strength fibers can be separated from the matrix. The study shows that the presence of an elastic-plastic matrix creates conditions for the joint operation of fibers and matrix, allowing the loading of high-strength fibers.