A new linear Naghdi type shell model for shells with little regularity

We relate the new model with known shell models in two ways. In the first we show that asymptotically, with respect to small thickness of the shell, the model behaves as the membrane model or the flexural shell model in the corresponding regime. In the second, for smooth enough middle surface, we relate the terms in the weak formulation of the model with terms in the classical Naghdi shell model. Further, we prove continuous dependence of the solution of the model on the change of the undeformed middle surface. At the end, we also present a numerical approximation of the model for the middle surface with a corner at the joint of two pieces that dominantly behave differently (one as a membrane and the other one as a flexural shell).