TWO SOLUTIONS FOR THE NONLINEAR ELASTIC THICK WALLED CYLINDER UNDER PRESSURE

Abstract

Two methods of solution are applied to the problem of the response of a thick walled cylinder with nonhomogeneous strain-dependent and thus non- linear elastic properties: one method is an application of perturbation theory; the other, an iterative numerical scheme using finite difference approximations. The effects of nonlinearity and the region of validity of the solutions are discussed.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1962
Accession Number
AD0274045

Entities

People

  • W.r. Spillers

Organizations

  • Columbia University

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautical Engineering
  • Air Force
  • Civil Engineering
  • Differential Equations
  • Elastic Properties
  • Engineering
  • Equations
  • Jet Propulsion
  • Materials
  • Materials Laboratories
  • Mechanical Engineering
  • Mechanics
  • Military Research
  • Munitions
  • Navy
  • New York
  • Stress Strain Relations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.