NONLINEAR THEORIES FOR THIN SHELLS

Abstract

Strain-displacement relations for thin shells valid for large displacements are derived. With these as a starting point approximate straindisplacement relations and equilibrium equations are derived by making certain simplifying assumptions. In particular the middle surface strains are assumed small and the rotations are assumed moderately small. The resulting equations are suitable as a starting point for stability investigations or other problems in which the effects of deformation on equilibrium cannot be ignored, but in which the rotations are not too large. The linearized forms of several of the sets of equations derived coincide with small deflection theories in the literature.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1961
Accession Number
AD0253822

Entities

People

  • J. Lyell Sanders Jr.

Organizations

  • Harvard University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mechanics
  • Coordinate Systems
  • Differential Equations
  • Elastic Properties
  • Elastic Shells
  • Engineering
  • Equations
  • Geometry
  • Mechanical Properties
  • Mechanics
  • Physics
  • Stress Strain Relations
  • Stresses
  • Thickness
  • Three Dimensional
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Small Business Innovation Research Program (SBIR) EDI Research and Innovation.
  • Structural Dynamics.