In this contribution, we shall be concerned with the question of wellposedness of thixo viscoplastic flow problems in context of FEM approximations. We restrict our analysis to a quasi Newtonian modeling approach with the aim to set foundations for an efficient monolithic Newton multigrid solver. We present the wellposedness of viscoplastic subproblems and structure subproblems in
parallel/independent fashion showing the possibility for a combined treatment. Then, we use the fixed
point theorem for the coupled problem. For the numerical solutions, we choose 4:1 contraction config uration and use monolithic Newton-multigrid solver. We analyse the effect of taking into consideration
thixotropic phenomena in viscoplastic material and opening up for more different coupling by inclusions
of shear thickening and shear thinning behaviors for plastic viscosity and/or elastic behavior below the
critical yield stress limit in more a general thixotropic models
