A Method of Self Adaptive Rezoning for the Case of Large Deformation Finite Element Problems Utilizing Rezoning Indicators Derived from Eigenvalue Testing

Abstract

Rezoning is required when elements within a Lagrangian based finite element mesh become distorted due to large deformations and strains. Rezoning halts the solution process to correct distorted elements which cause inaccuracies and ill conditioning. The solution is restarted after the remeshing and the remapping of the element variables in the rezoning regions. To date the rezoning process has remained an interactive process with very little theory. A method for self adaptive rezoning is delineated based upon finite element modeling assumptions of structural problems involving large deformations and strains. Linear isoparametric quadrilateral elements using selective reduced integration are examined. Geometrical measures of an element are defined in terms of aspect ratio, taper ratio, and skew angle. The amount of distortion of an element is related to these terms when compared to the same terms for an ideal element.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1992
Accession Number
ADA251466

Entities

People

  • B. L. Croft

Organizations

  • Naval Command, Control and Ocean Surveillance Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Artificial Intelligence
  • Aspect Ratio
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programs
  • Databases
  • Eigenvalues
  • Energy
  • Equations
  • Finite Element Analysis
  • Geometry
  • Mechanics
  • Quality Control
  • Test And Evaluation
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.