ON VARIATIONAL PRINCIPLES IN FINITE ELASTICITY.

Abstract

In this paper, two variation principles are formulated for the theory of finite elasticity. The first variational principle is an extension of Hu and Washizu's variational principle and the second is a generalization of the theory of stationary potential energy in classical elastostatics. New variational variables are introduced. The Euler equations are Rivlin's field equations expressed in terms of undeformed state variables for the theory of finite elasticity. Three examples are solved by the variational technique for illustrative pruposes. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1965
Accession Number
AD0462075

Entities

People

  • E. H. Lee
  • N. C. Huang

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Elastic Properties
  • Energy
  • Equations
  • Euler Equations
  • Mathematical Analysis
  • Mathematics
  • Potential Energy
  • Real Variables
  • Stationary
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis