In the present work, a monolithic solution approach for thermo-structure interaction problems motivated by the challenging application of the behaviour of rocket nozzles is proposed. Structural and thermal fields are independently discretised via finite elements. The resulting system of equations is solved via a monolithic thermo-structure interaction scheme, which is constructed by a block Gauss-Seidel preconditioner in combination with algebraic multigrid methods. The proposed method is tested for four numerical examples, the second Danilovskaya problem, a simplified rocket nozzle configuration, an internally loaded hollow sphere, and a fully three-dimensional nozzle configuration of a subscale thrust chamber. Good agreement of the numerical results with results from the literature is observed. Furthermore, it is shown that the monolithic solution algorithm can handle the complete range of the parameter spectrum, whereas partitioned algorithms are limited to a certain parameter range only. Moreover, the monolithic algorithm exhibits improved efficiency and robustness compared to partitioned algorithms. describing equilibrium of the forces of inertia, internal and external forces in the structural domain . In this context, , d and R d denote the density, the unknown displacements and accelerations, respectively. O b represents an arbitrary body load. The internal forces are expressed in terms of the stress tensor . For an isotropic thermoelastic solid, the strain-energy function described in the