A Numerical Method in Solving a Coupled Thermoelasticity Equation and Some Results.

Abstract

This report discusses a numerical method in solving a coupled dynamical thermoelasticity problem in a long hollow cylinder. The inner boundary conditions are the traction and the fluid temperature imposed on the inner surface of the cylinder, whereas the outer boundary is subjected to the ambient fluid temperature and is free of traction. This problem is solved by a finite element method in which the spatial and the time variables are discretized by several schemes. The study shows that the central explicit scheme for space discretization combined with a time marching scheme which incorporates moderate damping is suitable for this particular problem. Numerical results of the temperature and stress responses due to a modified step or single pulse are presented and discussed. One interesting observation is that, under high rate of stress loading, the coupling in the energy equation could generate temperature variations of significant magnitude. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 10, 1983
Accession Number
ADA130183

Entities

People

  • H. Groneim
  • J. Davis
  • Y. y. Li
  • Yunhui Chen

Organizations

  • Rutgers University–New Brunswick

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Elastic Waves
  • Equations
  • Finite Element Analysis
  • Heat Transfer
  • Heat Transfer Coefficients
  • Mathematical Models
  • Partial Differential Equations
  • Radial Stress
  • Stresses
  • Thermal Conductivity
  • Wave Equations
  • Waves
  • Weighting Functions

Fields of Study

  • Mathematics

Readers

  • Structural Dynamics.

Technology Areas

  • Space