Institute of Fluid-Flow Machinery
Polish Academy of Sciences

Abstract

The shell deformation under Kirchhoff-Love constraints is decomposed into a rigid-body translation, a pure stretch along principal directions of strain and a rigid-body rotation. Some formulae for the finite rotations are given. The shell equilibrium equations, geometric boundary conditions and energetically compatible with them static boundary conditions are derived in terms of Lagrangean quantities and consistently simplified under small elastic strains and bending theory. The basic shell equations are expressed in terms of either strains and changes of curvature, or strains and finite rotations, or displacements only.