PHYSICAL FEATURES OF THE PROCESSES OF DEFORMATION AND DESTRUCTION OF THE MATERIAL BY THE FINITE NODE METHOD

Abstract

Background. In this article, deformations and destruction of the composite sleeve material in the contact area of two different materials (steel and polyamide) are studied using a mathematical model of the Galerkin discontinuous method. The peculiarity of the study is that this method preserves the mass and kinetic characteristics in the nodes of the model, destruction occurs when the yield point is reached. Also, for an adequate description of the destruction, the Mi-Gruneisen equation of state of matter is given for each material. Materials and methods. The procedure of modeling is considered in order to optimize and select optimal technical solutions using software systems for modeling fracture based on the finite node method and comparing the results obtained with mathematical calculations based on the mathematical model of the discontinuous Galerkin method. Results and conclusions. As a result of the study, the problem of calculating the strength of the developed composite sleeve was solved not only along its entire length, but also at the junction of two different materials, taking into account the shearing force in the area of their adhesive connection.

Keywords

• discontinuous galerkin method
• efg shape function
• local boundary integration
• erosion