A New Efficient Formulation for Thin Shell Finite Element Models.

Abstract

A nine node shell element is developed by a new and more efficient mixed formulation. The new shell element formulation is based on the Hellinger-Reissner principle with independent strain and the concept of degenerate solid shell. The new formulation is made more efficient in terms of computing time than the conventional mixed formulation by dividing the assumed strain fields into a lower part and a higher order part. Numerical results demonstrate that the present nine node element is free of locking even for very thin plates and shells and is also kinematically stable. In fact the stiffness matrix associated with the higher order assumed strain plays the role of a stabilization matrix.

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Document Details

Document Type
Technical Report
Publication Date
Oct 14, 1986
Accession Number
ADA173447

Entities

People

  • J. J. Rhiu
  • Seh Wook Lee

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Bending Moments
  • Boundaries
  • Classification
  • Contracts
  • Coordinate Systems
  • Deflection
  • Displacement
  • Elastic Properties
  • Finite Element Analysis
  • Geometry
  • Identification
  • Maryland
  • Mechanics
  • Military Research
  • Security
  • Shape
  • Universities

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)