A Finite Element Method for Localized Failure Analysis,

Abstract

A method is proposed which aims at enhancing the performance of general classes of elements in problems involving strain localization. The method exploits information concerning the process of localization which is readily available at the element level. A bifurcation analysis is used to determine the geometry of the localized deformation modes. When the onset of localization is detected, suitably defined shape functions are added to the element interpolation which closely reproduce the localized modes. The extra degrees of freedom representing the amplitudes of these modes are eliminated by static condensation. The proposed methodology can be applied to 2D and 3D problems involving arbitrary rate-independent material behavior. Numerical examples demonstrate the ability of the method to resolve the geometry of localized failure modes to the highest resolution allowed by the mesh. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 15, 1986
Accession Number
ADA169117

Entities

People

  • Alan Needleman
  • Michael Ortiz
  • Yves Leroy

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Constitutive Equations
  • Discontinuities
  • Engineering
  • Equations
  • Failure Analysis
  • Failure Mode And Effect Analysis
  • Finite Element Analysis
  • Geometry
  • Materials
  • Mechanics
  • Plastic Flow
  • Shear Bands
  • Structural Engineering
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Computer Vision.
  • Materials Science (Mechanical Engineering).