University of Illinois Urbana-Champaign

Successive approximations in nonlinear thermoelasticity

Yarrington, Paul; Carlson, Donald E.

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https://hdl.handle.net/2142/112111

Description

Title
Successive approximations in nonlinear thermoelasticity
Author(s)
  • Yarrington, Paul
  • Carlson, Donald E.
Issue Date
1974-02
Keyword(s)
  • Thernoelasticity
  • Mechanical Loading
  • Thermal Loading
  • Linear Heat Conduction
Abstract
Starting with the basic equations of finite thermoelasticity for an incompressible, isotropic, homogeneous body, the usual method of successive approximations is generalized by expanding the relevant fields in terms of two parameters. These parameters separately characterize the mechanical and thermal loading on the body. The successive equations are derived, and it is seen that at each order the basic equations are linear and completely uncoupled. The displacement is determined by the equations of linear isothermal elasticity, while the temperature field is determined by the equation of linear heat conduction. Solutions, through second-order terms, are found for the following problems: annular cylinder with axial mechanical loading and radial thermal loading, torsion of an axial heat conductor, sperical shell with radial mechanical and thermal loading, solid cylinder with axial mechanical and thermal loading, constrained annular cylinder with internal pressure and radial thermal loading.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 381
  • 1974-6003
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112111
Sponsor(s)/Grant Number(s)
National Science Foundation, 74/02
Copyright and License Information
Copyright 1974 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.