Strain-displacement relations in large displacement theory of shells

Abstract

Strain-displacement relationships based on the large displacement theory of shells are derived. Formulas given in Novozhilov's book, Foundations of the Nonlinear Theory of Elasticity, are modified and improved. Sign conventions for the principal radii are clarified. The relationships given are for the general shell of any shape. These relation ships can be readily transformed to obtain the formulas for special shells, such as spherical, conical, cylindrical or toroidal shells, for flat plates, and for curved and straight beams. (Author)