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):

Report Date:

1971-06-01

Pagination or Media Count:

25.0

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

Subject Categories:

  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE