Computation of Stress–Strain States in Elastomers Utilizing the Moment Diagram Approach in Finite Element Analysis

Currently, materials based on elastomers and composites are extensively used in mechanical engineering and construction fields. Owing to the intricate nature of problems involving elastomer mechanics, selecting the most suitable computational approach, tailored specifically through methods of computational mathematics, is essential. However, at the current level of research, determining the optimal computation scheme is not always feasible, leading researchers to develop and compare various calculation algorithms. This article aims to present a mathematical model that addresses these challenges. The project employed an adaptation of the finite element method (FEM), termed the finite element moment scheme (FEMS), tailored for materials with low compressibility. The developed models and algorithms were integrated into a software module, and their efficiency was validated through a case study focusing on the VR-201 vibration isolator.