Accession Number : AD0733411

Title :   Nonlinear Shell Theories by Means of a Stationary Theorem.

Descriptive Note : Research rept.,

Corporate Author : ALABAMA UNIV HUNTSVILLE RESEARCH INST

Personal Author(s) : Wempner,Gerald A.

Report Date : JUN 1971

Pagination or Media Count : 25

Abstract : A general stationary theorem provides the governing equations of a shell theory. Approximations of the displacements, strains and stresses, and the subsequent variations of the two-dimensional fields, produce the equilibrium equations, constitutive equations and the strain-displacement relations of the shell theory. The variational procedure is used to derive a hierarchy of multi-couple theories; the zero couple and one-couple theories are the membrane and bending theories, respectively. Both reduce to accepted approximations under the assumption of plane-stress. The procedure is also employed to obtain a first-approximation which accounts for extension, flexure and transverse shear. The approach provides a simple and direct development of the nonlinear theory for thin elastic shells. (Author)

Descriptors :   (*ELASTIC SHELLS, MECHANICAL PROPERTIES), DEFORMATION, STRESSES, STRAIN(MECHANICS), BENDING, INTEGRALS, NONLINEAR SYSTEMS, APPROXIMATION(MATHEMATICS)

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE