Locking Effects in the Finite Element Approximation of Elasticity Problems

Abstract

In this paper, we analyze the phenomenon of Poisson Locking. This is said to occur when the approximations obtained using the finite element method for elasticity problems deteriorate as a result of the Poisson ratio being close to 0.5. Using the general theory developed in an earlier paper on locking, we give precise mathematical definitions of locking and robustness and apply some abstract theorems to analyze the locking of various h, p and h-p finite element schemes. In particular, we analyze two types of rectangular elements for the h- version. Extensions to the three-dimensional case are also discussed.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1990
Accession Number
ADA239645

Entities

People

  • Ivo Babuška
  • Manil Suri

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computational Science
  • Differential Equations
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Finite Element Analysis
  • Heat Transfer
  • Materials
  • Mathematics
  • Military Research
  • Numerical Analysis
  • Physical Sciences
  • Poisson Ratio
  • Standards
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Engineering
  • Mathematics

Readers

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