Nonlinear Shell Theories by Means of a Stationary Theorem.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1971
- Accession Number
- AD0733411
Entities
People
- Gerald A. Wempner
Organizations
- University of Alabama in Huntsville