A NOTE ON STRESS FUNCTIONS AND COMPATIBILITY EQUATIONS IN SHELL THEORY,

Abstract

The two vector equilibrium equations of linear shell theory are satisfied in terms of two vector stress functions. Reduction of the result to scalar form leads to expressions for six stress resultants and four stress couples in terms of four scalar stress functions. Utilization of this stress function representation in conjunction with a virtual work equation is shown to lead to four compatibility equations for strain. For the case of vanishing transverse shearing strains these four compatibility equations reduce to equations previously given by Goldenweiser. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1962
Accession Number
AD0621107

Entities

People

  • Eric Reissner

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Applied Mechanics
  • Arrhenius Equation
  • Equations
  • Mathematics
  • Mechanics
  • Netherlands
  • Physics
  • Transverse

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.