Consistent linearization in Finite Element analysis of coupled chemo-thermal problems with exo- or endothermal reactions

In this work, after a short review of the respective thermodynamic formulat ion, the algorithmic treatment of coupled chemo-thermal problems with exo- or endothermal reactions is addressed. The Finite Element Method (FEM) is s erving as the analysis tool. Consistent linearization of the discretized ev olution equations results in quadratic convergence of the global Newton-Rap hson equilibrium iteration. This renders solutions of practical engineering problems feasible. The range of these problems encompasses the early age b ehavior of concrete as well as agricultural applications. In order to demon strate the applicability of the presented material law, a 3D material test for shotcrete is re-analyzed.