Computer Modeling of Inhomogeneous Media Using the Abaqus Software Package

Abstract

The article describes in detail the process of modelling an inhomogeneous environment. It should be noted that the modelling of a rectangular plate is justified by the Kirchhoff – Love methods. A special feature of this simulation with the intervention of the Abaqus software package was the setting of different steps at different points in time. We also constructed H-adaptive schemes of finite element methods and their triangulation with different steps and with pre-guaranteed accuracy. When adapting the grid at the places of the greatest errors, a local thickening of the Triangle grid was observed, which ultimately determines that the structure of the desired solutions contains features in the edges of the vertices of the fixed edge. We also found that the proximity to linear growth of the number of nodes and finite elements in the initial stages of adaptation slows down their growth in the final stages. It should also be noted that the proposed H-adaptive schemes of ITU using the Abaqus software package with pre-guaranteed accuracy of calculating approximations showed satisfactory results, since they obtained a final deviation error of 2%. Also, a detailed description of the step-by-step adaptation results allowed us to generate the reliability of the proposed schemes with different steps.