Modeling of contact interaction of crack banks based on finite element schemes

Abstract

The problems of modeling the formation and propagation of cracks are relevant in a variety of applied fields: dynamics and strength of machines and mechanisms, mechanics of structural materials and structures, etc. When describing the fracture process, in addition to the fracture criteria, it is also important to correctly take into account changes in the rheology of the destroyed material, including the contact interaction between the surfaces of the cracks and fragments formed. This paper proposes a technique for calculating the stress-strain state of cracked bodies taking into account the contact interaction of crack banks in the normal direction. The technique is based on the transformation of a finite element grid with the introduction of double nodes, as well as an iterative algorithm for determining the contact zones of the crack banks. An example of calculating deformations of a shaft with a crack under the action of body weight at different angular positions of the shaft is given.