ABSTRACT

The strain tensors for Naghdi’s shells are from [157] and [158]. By viewing the middle surface of the shell as a Riemannian manifold with the induced metric in R3, Naghdi’s shells will be formulated mathematically as in the case of shallow shells. Then the multiplier scheme is carried out with help of the Bochner technique. Boundary exact controllability and boundary stabilization are derived. Stabilization of transmission is also presented.