Some Inconsistencies of the Finite Element Method as Applied to Inelastic Response.

Abstract

The inadequacy of a two noded beam-column element with a linear axial and a cubic transverse displacement field for inelastic analysis is demonstrated. For complete equilibrium satisfaction in the linear elastic range a three noded beam-column element is shown to be consistent. Next, the sensitivity of the inelastic response to numerical inteoration of strain energy is examined. Significant differences between the exact and numerical solutions of the inelastic response of a cantilever beam resulting from approximate integration of strain energy are brought out and finally, consequences of this on the nonlinear transient response of structures are considered. (MM)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1976
Accession Number
ADA305411

Entities

People

  • Douglas E. Killian
  • Manohar P. Kamat

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Cantilever Beams
  • Displacement
  • Dissipation
  • Energy
  • Equations
  • Finite Element Analysis
  • Foreign Languages
  • Gaussian Quadrature
  • Materials
  • Numerical Analysis
  • Numerical Integration
  • Potential Energy
  • Sensitivity
  • Strain Hardening
  • Stress Strain Relations
  • Stresses
  • Transverse

Fields of Study

  • Physics

Readers

  • Materials Science (Mechanical Engineering).
  • Theoretical Analysis.