ON THE METHOD OF GREEN'S FUNCTION IN THE THERMOELASTIC THEORY OF SHALLOW SHELLS

Abstract

The method of Green's function is applied to the quasi-static thermoelastic theory of shallow shells with heat conduction equations included. Solution formulas are derived for middle-surface displacements and stress and temperature resultants in terms of initial and edge temperatures, internal heat sources, ambient temperatures at the upper and lower surfaces, and surface tractions. Equations are given for the Green's functions appearing in the solution formulas. Extension to more general shell theory is discussed. By way of example, the method is applied to thermoelastic problems for two classes of shallow shells. Also, the effect of transverse shear deformation is examined with reference to a shallow spherical shell.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1962
Accession Number
AD0289264

Entities

People

  • R. P. Nordgren

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Biodiesels
  • Complex Variables
  • Constitutive Equations
  • Coordinate Systems
  • Elastic Properties
  • Elastic Shells
  • Equations
  • Geometry
  • Heat Transfer
  • Mechanics
  • Modulus Of Elasticity
  • Navy
  • New York
  • Theorems
  • Three Dimensional
  • Two Dimensional

Readers

  • Control Systems Engineering.
  • Thermal Physics or Thermal Science.
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).