Variation Principles of Moment-Membrane Theory of Shells

Abstract

In the present paper assumptions are formulated, and, on the basis of the moment theory of elasticity with independent fields of displacements and rotations, general variation principle of Hu–Washizu type is established and basic equations with boundary conditions of the moment-membrane theory of shells are set out. For the moment-membrane theory of shells particular variation principles of Lagrange and Castigliano type are proved, equations of continuity of deformations of the middle surface of the shell are derived.