Computational Methods for Material Failure Processes

Abstract

Computational Methods are developed for failure problems such as shear banding. H-Adaptive procedures for the finite element solution of transient solid mechanics problems are studied, with particular emphasis on problems involving localization due to material instability. Various types of error criteria are examined and it is shown that for problems involving plastic response or localization, an error criterion based on an L2 projection of strains is the most effective for the constant strain elements considered here. Examples of one dimensional and two dimensional localization (shear band formation) problems are given. Massively parallel computations are performed to study the effects of imperfections on shear band morphology Finite elements, Material instability shear bands.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1994
Accession Number
ADA278716

Entities

People

  • Ted Belytschko

Organizations

  • Northwestern University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mechanics
  • Band Structures
  • Computational Fluid Dynamics
  • Computational Mechanics
  • Computational Science
  • Computations
  • Constitutive Equations
  • Differential Equations
  • Engineers
  • Equations
  • Finite Element Analysis
  • Mechanical Engineering
  • Mechanics
  • Modulus Of Elasticity
  • Partial Differential Equations
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science (Mechanical Engineering).