Coupled parameterized reduced order modelling of thermomechanical phenomena arising in blast furnaces

Blast furnace operations are subjected to temperatures up to 1500o C, causing high thermal stresses in blast furnace hearth walls. First, an axisymmetric isotropic homogeneous model is introduced and solved using finite element method. Next, we introduced the relevant geometric parameters and material parameters. We used the Proper Orthogonal Decomposition (POD) to construct the reduced basis space. For the computation of degrees of freedom, we used Galerkin projection and artificial neural network. Further to the simplified model, we introduced the mathematical model characterised by temperature dependence of material properties and presence of different materials. Homogenization is used to identify an equivalent orthotropic material from the periodic assembly of homogeneous isotropic materials. Finite element formulation is used to solve the complex thermomechanical model. Finally, we extended the POD-artificial neural network approach to the complex thermomechanical model.