Adaptive Finite Element Methods for Shells.

Abstract

An adaptive finite element procedure is developed for the transient analysis of nonlinear shells. The scheme is an h-method which employs fission and fusion. Criteria based on incremental work and deviation of the bilinear finite element approximation to the shell from a Kirchhoff-Love surface are used as criteria for adaptivity. The example problems show that the adaptive schemes are capable of achieving substantial improvements in accuracy for a given computational effort. They include both material and geometric nonlinearities and local and global buckling. In order to formulate an r-adaptive method, the conservation laws, the constitutive equations, and the equation of state for path-dependent materials are formulated for an arbitrary Lagrangian-Eulerian description. Both geometrical and material nonlinearities are included in this setting. Keywords: Finite elements, Adaptive meshes, Shells.

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Document Details

Document Type
Technical Report
Publication Date
Jan 30, 1988
Accession Number
ADA193221

Entities

People

  • Hsiu-guo Chang
  • Ted Belytschko
  • Wing K. Liu

Organizations

  • Northwestern University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Applied Mechanics
  • Civil Engineering
  • Computational Fluid Dynamics
  • Computational Science
  • Constitutive Equations
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Fluid Dynamics
  • Fluid Flow
  • Mechanical Properties
  • Mechanics
  • Two Dimensional
  • Wave Propagation

Fields of Study

  • Engineering

Readers

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