Stress Computations for Nearly Incompressible Materials

Abstract

The problem of computing stresses accurately and reliably in the case of nearly incompressible solids and in the incompressible limit of the compressible Navier-Stokes equations has received a great deal of attention in recent years. Formulations based on the principle of virtual work have been abandoned in favor of mixed and penalty methods in order to avoid locking which occurs when elements of low polynomial degree are used. An overview of the evolution of mixed and penalty methods and a clear exposition of the locking phenomenon is available. A mixed formulation which has been successfully applied to elastic and inelastic problems is presented. Mixed formulations have been used successfully in fluid dynamics in conjunction with elements of high polynomial degree.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1988
Accession Number
ADA198729

Entities

People

  • Barna A. Szabo
  • Bidar K. Chayapathy
  • Ivo Babuška

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Mechanics
  • Computational Science
  • Computer Programs
  • Elastic Properties
  • Equations
  • Extraction
  • Finite Element Analysis
  • Fluid Dynamics
  • Materials
  • Mathematics
  • Mechanical Properties
  • Mechanics
  • Navier Stokes Equations
  • Shear Stresses
  • Stress Intensity Factors
  • Stresses

Readers

  • Fluid Dynamics.
  • Operations Research
  • Theoretical Analysis.