Numerical Simulation of Torsion of Inhomogeneous Cylindrical Rods

In this scientific article, we investigate the numerical simulation of problems related to the rotation of inhomogeneous cylindrical bodies. We focus on solving the Dirichlet problem for the Poisson differential equation and consider the effect of temperature on the stress-strain state during the twisting of the rods. We also construct joint differential equations to account for the coupled effect of temperature on the mechanical behavior of the cylindrical bodies. Numerical methods are used to obtain approximate solutions, which are compared with analytical solutions to assess the accuracy of the numerical simulations.