Betti's reciprocal theorem for Cosserat elastic shells
It is proved that, as in three-dimensional elasticity, Betti's theorem represents a criterion for the existence of a stored-energy function for a Cosserat elastic shell.
It is proved that, as in three-dimensional elasticity, Betti's theorem represents a criterion for the existence of a stored-energy function for a Cosserat elastic shell.
The object of this paper is to formulate the differential equations in the beamcolumn problem of the buckling of anisotropic cylindrical shells, placed between the plates of a testing machine subject to an axial load and a radial load of sufficient magnitude to bring the expansion without constraint of the edges produced by to zero deflection. The solution is obtained with necessary boundary conditions and the corresponding results for the isotropic case are deduced.