“…Suitably generalizing what done before, the equilibrium problem for the considered constrained micromorphic continuum subjected to a Bias Extension Test can be formulated as Find (u * , ϕ * ) ∈ Q × D such that P int (u * , ϕ * , δu, δϕ) + P ext (u * , ϕ * , δu, δϕ) = 0 for any (δu, δϕ) ∈ T u * × T ϕ * , where now P int , P ext , Q, D, T u and T ϕ are given by (19), (20), (21) and (22) respectively. The mathematical question of well-posedness of the geometrically nonlinear micromorphic approach has been discussed in [60,61,62]-the extension of these results to the anisotropic setting is straightforward. Some attendant results in the large strain and small strain setting, including an efficient numerical treatment and further modeling and well-posedness results can be found in [39,48,63,64,65,66].…”