Kozub Y. Modeling of thermoelastic deformation of constructions from elastomers and elastomeric composites with initial stresses based on the finite element method

Based on the momentary finite element scheme, the resolving relations of spatial finite elements are constructed to determine the stress-strain state, temperature fields of dissipative heating of structures made of elastomers and elastomeric composites, taking into account the initial stresses. On the basis of the fundamental provisions of the nonlinear theory of elasticity, a numerical method for modeling nonlinear thermally elastic deformation of preloaded layered structures with isotropic and anisotropic layers has been created. To simulate the deformation processes of layered structures with initial stresses, a layered finite element with a linear approximation law for each layer is developed. When constructing the solving equations of this element, we use a super-elemental approach. Modified computational ratios of spatial finite elements are developed to solve the problems of thermal conductivity of layered anisotropic bodies. The algorithms for numerical simulation of thermomechanical fields in isotropic and anisotropic bodies have been constructed based on the solution of the linked problem of thermo viscoelasticity. A package of applications has been created to determine the stress-strain state of structures of weakly compressible elastomers and composites with an elastomeric matrix, taking into account the initial stresses. The reliability, convergence and efficiency of the calculated ratios are analyzed based on the comparison of the obtained solutions with the analytical, numerical and experimental published data. On the basis of the developed methodology and software, the features of thermally-elastic deformation are investigated and an effective approach to the determination of the life of vibration and seismic isolators with elastomeric dampers is developed. Based on the developed package of applications, the stress-strain state and temperature fields of dissipative heating of structures made of rubber cord materials were determined and analyzed.