A Sixteen Node Shell Element with a Matrix Stabilization Scheme.

Abstract

A sixteen node shell element is developed using a matrix stabilization scheme based on the Hellinger-Reissner principle with independent strain. Initially the assumed independent strain is divided into a lower order part and a higher order part. The stiffness matrix corresponding to the lower order assumed strain is equivalent to the stiffness matrix of the assumed displacement model element with the reduced integration scheme. The spurious kinematic modes of the element are suppressed by introducing a stabilization matrix associated with a judiciously chosen set of higher order assumed strain fields. Numerical results show that this element is free of locking even for very thin plates and shells. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 22, 1987
Accession Number
ADA183955

Entities

People

  • J. J. Rhiu
  • Seh Wook Lee

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Applied Mechanics
  • Bending Moments
  • Bending Stress
  • Classification
  • Contracts
  • Coordinate Systems
  • Deflection
  • Equations
  • Finite Element Analysis
  • Geometry
  • Hemispherical Shells
  • Internal Pressure
  • Maryland
  • Mechanics
  • Military Research
  • Security
  • Universities

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematics or Statistics
  • Structural Dynamics.