Fission-Fusion Adaptivity in Finite Elements for Nonlinear Dynamics of 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 of elements to adaptively refine and coarsen the mesh. Incremental work and deviation of the bilinear finite element approximation to the shell from a Kirchhoff-Love surface are used as error 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. Keywords: Finite elements; Adaptive meshes; Shells; Stress strain relations; Transients; Computer applications.

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Document Details

Document Type
Technical Report
Publication Date
Nov 30, 1988
Accession Number
ADA204555

Entities

People

  • Ted Belytschko

Organizations

  • Northwestern University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mechanics
  • Buckling
  • Civil Engineering
  • Computational Science
  • Computations
  • Computer Programs
  • Computers
  • Engineering
  • Errors
  • Judgment
  • Materials
  • Mechanics
  • Nonlinear Dynamics
  • Simulations
  • Stress Strain Relations
  • Two Dimensional

Fields of Study

  • Engineering
  • Physics

Readers

  • Parallel and Distributed Computing.
  • Phased Array Antenna Design.
  • Structural Dynamics.