A Second Order Numerical Model for High Velocity Impact Phenomena

Abstract

A second order accurate code for penetration problems associated with high velocity impact of materials that exhibit elastic or elastic plastic behavior has been developed. The model uses a finite difference method based upon an Eulerian formulation of the basic differential equations. For interior mesh points, the difference equations are second order accurate. The boundary is explicity preserved as a discontinuity by the use of tracer particles whose positions mark the current interface or free surface position. On such curves free surface and interface boundary conditions are applied. An example of a penetration interaction problem is presented.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1975
Accession Number
ADA012775

Entities

People

  • E. L. Turkel
  • H. S. Schechter
  • S. Z. Burstein

Organizations

  • Mathematical Applications Group

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Layer
  • Computations
  • Continuum Mechanics
  • Coordinate Systems
  • Difference Equations
  • Differential Equations
  • Elastic Properties
  • Equations
  • Equations Of Motion
  • Errors
  • Mechanical Properties
  • Mechanics
  • Partial Differential Equations
  • Strain Rate
  • Stress Strain Relations
  • Stresses

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Mechanical Engineering/Mechanics of Materials.