VARIATIONAL FORMULATIONS OF THE COUPLED THEORY OF LINEAR THERMOELASTICITY

Abstract

Several variational principles are derived for the initial-boundary- value problem of fully coupled linear thermoelasticity for an inhomogeneous, anisotropic continuum. A consistent set of field variables is employed and a method based on the Laplace transform is used to incorporate the initial conditions explicitly into the formulation. These principles lend themselves readily to numerical solutions based on an extended Ritz method.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1966
Accession Number
AD0645301

Entities

People

  • J. L. Sackman
  • R. E. Nickell

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Calculus
  • Calculus Of Variations
  • Civil Engineering
  • Elastic Properties
  • Engineering
  • Equations
  • Equations Of Motion
  • Euler Equations
  • Heat Flux
  • Mechanics
  • Security
  • Structural Engineering
  • Thermoelasticity
  • Three Dimensional
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)