Adjoint Variational Principles for Coupled Thermomechanical Systems and Application to Dynamic Stability Problems.

Abstract

In conjunction with the differential equations of coupled thermoelasticity with initial stresses, adjoint variational principles have been formulated by introducing a set of adjoint differential equations. The natural and imposed boundary conditions for the original and the adjoint problems are obtained also with respect to each variational principle. These results can be used as basis for the finite element or other Ritz type of approximations to solve dynamic stability problems with nonconservative loads. (Author-PL)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0767260

Entities

People

  • Julian J. Wu

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Real Variables
  • Thermoelasticity
  • Variational Principles

Fields of Study

  • Mathematics

Readers

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