Feasibility of Applying the Finite Element Adaptive Research Solver (FEARS) Program to the Plate Bending Problem.

Abstract

This report documents an investigation of the feasibility of the application of the Finite Element Adaptive Research Solver (FEARS) computer program to the Plate Bending Problem. Two methods of reducing this biharmonic problem to an elliptic system of two second order partial differential equations are considered. The first is the splitting method and the second is the transformation to the Lame system of elasticity equations. The FEARS program is used to solve these reduced systems for three examples. The results are analyzed and discussed withregard to the computation of displacements, moment, and shear forces. While the Lame' system approach is well-founded theoretically, it poses some computational problems with regard to accuracy. The authors feel that the splitting method when monitored by error indicators is the preferred method for FEARS users even though; the theory of this method has not been completely developed yet. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1983
Accession Number
ADA129395

Entities

People

  • Donald A. Gignac
  • Ivo Babuška

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Bending Moments
  • Biharmonic Functions
  • Boundary Value Problems
  • Computations
  • Computer Programs
  • Computers
  • Convergence
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Maryland
  • Mathematics
  • Modulus Of Elasticity
  • Partial Differential Equations
  • Physical Sciences
  • Standards
  • Universities

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Psychological Intervention/Treatment for Stress, Anxiety, PTSD, and Related Emotional and Cognitive Health Symptoms.
  • Structural Dynamics.