Computer simulation of the stress-strain state of plates with reinforced elongate rectangular holes of various orientations

Abstract

The results of numerical investigation of the stress-strain state of elastic rectangular plates with reinforced elongated holes under the action of axisymmetric tensile forces are presented. The holes have different orientations relative to the direction of forces, the materials of the plate and reinforcements are different too. Computer modeling was carried out using the finite element method. The influence of mechanical and geometrical parameters of plates and reinforcements, orientation of holes (angle of rotation relative to the direction of action of forces) on the stress-strain state of the plate are studied. The dependence of the change in the stress concentration factor in the plate on the orientation of the hole, the ratio of the elastic modulus of the plate materials and reinforcements (the elastic modulus of the reinforcement material is 3 times greater (or less) than the elastic modulus of the plate material) has been established. Plates with holes located at angles of 60°, 45° and 30° in the direction of the load are modeled. It is shown that a good choice of geometric and stiffness characteristics of the parameters of reinforcement, plate and elongate hole orientation can significantly reduce the stress concentration in the plate. Patterns of stress intensity distribution in the plate sections passing along one of the hole sides and stress concentration in the vicinity of the corner points of the holes are constructed. The results obtained in this work can be used to solve the problems of optimization of thin-walled rectangular plates with elongated holes, having strip reinforcement along the edges.