Incremental Finite Element Analysis of Large Elastic Deformation Problems.

Abstract

Incremental variational principles involving the rate of displacement are obtained in Lagrangian and Eulerian description. Both of them lead straight-forwardly to finite element discretization, resulting in incremental matrix equations. The various acceptable generalizations of Hooke's law for large displacements and small strains are reviewed. We discuss the respective merits of the Lagrangian and Eulerian formulation as well as the value of the approximation based on an intuitive updating of the coordinates. An application is made to a generalized plane stress problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1971
Accession Number
AD0726727

Entities

People

  • Georges A. Dupuis

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Computer-Aided Design
  • Computers
  • Differential Equations
  • Displacement
  • Engineering
  • Equations
  • Finite Element Analysis
  • Mathematical Analysis
  • Mathematics
  • Variational Principles

Readers

  • Computational Fluid Dynamics (CFD)
  • Computational Modeling and Simulation
  • Structural Dynamics.