Analytical modeling of thermomechanical stresses in short hyperelastic tubes under axial and torsional loading

Abstract This study introduces an analytical model for analyzing thermomechanical stresses in finite-length hyperelastic hollow cylinders under axial-torsional loading and non-isothermal conditions. The model incorporates an axial temperature distribution and decomposes strain responses into thermal expansion and mechanical stretches. Governing equations are derived using large deformation kinematics and the Neo-Hookean strain energy function. Solutions for displacements, stresses, and pressure variables are obtained with appropriate boundary conditions. Validation against 3D finite element analysis demonstrates strong agreement with significant computational cost savings. These findings challenge the conventional linear assumption for twist angles under large deformations. Increasing temperature differences introduce noticeable nonlinearities in radial and axial stress distributions, resulting in significant nonlinear axial stress distributions along the vertical walls. Additionally, higher temperature differences reduce axial stress at the inner radius, while shear stresses predominantly remain radial with minimal variation. In summary, this efficient analytical tool provides invaluable insights into thermomechanical stresses in soft active cylindrical components, with broad potential applications across various fields.