Locking Effects for the Reissner-Mindlin Plate Model

Abstract

We analyze the robustness of various standard finite element schemes for the Reissner-Mindlin plate and obtain asymptotic convergence estimates that are uniform in terms of the thickness d. We identify h version schemes that show locking, i.e. for which the asymptotic convergence rate deteriorates as d (right arrow) 0 and also show that the p version is free of locking. In order to isolate locking effects from boundary layer effects (which also arise as d (right arrow) 0, our analysis is carried out for the periodic case, which is free of boundary layers.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1992
Accession Number
ADA262193

Entities

People

  • Christoph Schwab
  • Ivo Babuška
  • Manil Suri

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mathematics
  • Boundaries
  • Boundary Layer
  • Convergence
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Numerical Analysis
  • Periodic Functions
  • Physical Sciences
  • Sequences
  • Theorems
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Electrical Engineering
  • Fluid Mechanics and Fluid Dynamics.
  • Statistical inference.