Bistable polar-orthotropic shallow shells

Analytical models for bistable cylindrical shells

Thin cylindrical shell structures can show interesting bistable behaviour. If made unstressed from isotropic materials they are only stable in the initial configuration, but if made from fibre-reinforced composites they may also have a second, stable configuration. If the layup of the composite is antisymmetric, this alternative stable configuration forms a tight coil; if the layup is symmetric...

Rotating Shallow Elastic Shells of Revolution

Introduction. I n what follows, we wish to show that the problem of the rotating thin elastic shell of revolution is intriguing in the following sense. It is possible to obtain a solution by means of a linear theory which looks so reasonable that one expects the nonlinear effects to be of secondary nature. However, when one considers the problem on the basis of a nonlinear theory, one finds tha...

The Obstacle Problem for Shallow Shells: Curvilinear Approach

We start with a three-dimensional equilibrium problem involving a linearly elastic solid at small strains subjected to unilateral contact conditions. The reference configuration of the solid is assumed to be a thin shallow shell with a uniform thickness. We focus on the limit when the thickness tends to zero, i.e. when the three-dimensional domain tends to a two-dimensional one. In the generic ...

Vibrations of Thin Piezoelectric Shallow Shells: Two-dimensional approximation

Lower dimensional models of shells are preferred in numerical computations to threedimensional models when the thickness of the shells is “very small”. A lot of work has been done on the lower dimensional approximation of boundary value and eigenvalue problem for elastic plates and shells (cf.[2], [3] [4], [5], [6], [8],[9]). Recently some work has been done on the lower dimensional approximati...

Asymmetrical Creep Bqckling of Clamped Shallow Spherical Shells