Some Aspects of Adiabatic Shear Bands

Abstract

A one-dimensional continuum formulation for the initiation and growth of adiabatic shear bands is reviewed, including some remarks on the underlying assumptions. A short description of some perturbation calculations introduces the idea of stress collapse and band formation as a bifurcation from homogeneous deformation, and an approach for estimating the critical time of collapse for infinitesimal perturbations is introduced. Steady solutions are exhibited and their interpretation as central boundary layers is suggested. Finally it is shown that in a certain limit shear bands occur following a hyperbolic to elliptic transition in the governing equation, and in a concluding remark dipolar plasticity is introduced as a possible alternative continuum description.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1987
Accession Number
ADA180886

Entities

People

  • Thomas W. Wright

Organizations

  • Ballistic Research Laboratory

Tags

Readers

  • Calculus or Mathematical Analysis
  • Spectroscopy.
  • Structural Health Monitoring of Composite Structures.