Finite Element Analysis of Shell Structures with an Eighteen-Node Three Dimensional Solid Element Based on a New Mixed Formulation

Abstract

An eighteen node, three dimensional, solid element with 54 degrees of freedom is presented for the finite element analysis of thin plates and shells. The element is based on the Hellinger Reissner principle with independent assumed strain. The independent strain is divided into higher and lower order terms. A modified stress strain relation decoupling inplane and normal strain is used to model thin shell behavior. Numerical results demonstrate that this element is effectively free of locking even for very thin plates and shells. In addition, the element is kinematically stable. In fact, the stiffness matrix associated with the higher order independent strain is a stabilization matrix. Theses.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1987
Accession Number
ADA196698

Entities

People

  • Michael F. Ausserer

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Bending Moments
  • Coordinate Systems
  • Elastic Properties
  • Finite Element Analysis
  • Geometry
  • Grids
  • Hemispheres
  • Kinematics
  • Mechanics
  • Modulus Of Elasticity
  • Numerical Integration
  • Shape
  • Shear Modulus
  • Stiffness
  • Stress Strain Relations
  • Stresses
  • Three Dimensional

Fields of Study

  • Engineering

Readers

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