Geometrically nonlinear thermoelastic analysis of shells: modelling, incremental-iterative solution and reduction technique

Abstract

Abstract. This work presents an accurate and efficient numerical tool for geometrically nonlinear thermoelastic analyses of thin-walled structures. The structure is discretized by an isogeometric solid-shell model avoiding the parameterization of finite rotations. An efficient modeling of thermal strains, temperature-dependent materials and general temperature profiles is proposed. Then, a generalized path-following method is developed for solving the discrete equations with the temperature amplifier as additional unknown. Finally, a reduction technique based on Koiter theory is derived for a quick estimate of the nonlinear thermal buckling.