Numerical Investigation of One-Dimensional Visco-Plastic Model

Abstract

An explicit finite difference formulation of the equations governing the one-dimensional visco-plastic model was presented in the Second Quarterly Report. The scheme has been programmed on the IBM 7090 and exploratory calculations made for several values of the parameters muo (viscosity factor), To (yield stress) and Vo (impact velocity). Excellent results are obtained for certain ranges of the parameters; these results are discussed in detail. For larger values of muo and Vo, however, the restriction on the size of Delta t is very severe. A stability analysis is performed which explains this requirement. To circumvent this difficulty the governing equations are recast in an implicit finite difference scheme which is only valid for mu > o, but which is then unconditionally stable. The method is described in detail and a flow chart is given for the machine program which is currently being written.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1961
Accession Number
AD0268221

Entities

People

  • T. D. Riney

Organizations

  • General Electric

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Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Boundaries
  • Coefficients
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Government Procurement
  • Governments
  • Iterations
  • New York
  • Numerical Analysis
  • Partial Differential Equations
  • United States

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  • Calculus or Mathematical Analysis
  • Geotechnical Engineering.
  • Technical Research and Report Writing.