A Particle-Level-Set Based Sharp Interface Cartesian Grid Method for Impact, Penetration, and Void Collapse

Abstract

An Eulerian, sharp interface, Cartesian grid method is developed for the numerical simulation of the response of materials to impact, shocks and detonations. The mass, momentum, and energy equations are solved along with evolution equations for deviatoric stresses and equivalent plastic strain. These equations are cast in Eulerian conservation law form. The Mie-Gruneisen equation of state is used to obtain pressure and the material is modeled as a Johnson-Cook solid. The ENO scheme is employed to capture shocks in combination with a hybrid particle level set technique to evolve sharp immersed boundaries. The numerical technique is able to handle collisions between multiple materials and can accurately compute the dynamics of the immersed boundaries. Results of calculations for axisymmetric Taylor bar impact and penetration of a Tungsten rod into steel plate show good agreement with moving finite element solutions and experimental results. Qualitative agreement with theory is shown for the void collapse phenomenon in an impacted material containing a spherical void.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2003
Accession Number
ADA416946

Entities

People

  • H. S. Udaykumar
  • Linhbao Tran

Organizations

  • University of Iowa

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Computational Fluid Dynamics
  • Computational Science
  • Dynamics
  • Energetic Materials
  • Equations
  • Euler Equations
  • Explosives
  • Fluid Dynamics
  • Industrial Engineering
  • Materials
  • Mechanical Phenomena
  • Mechanical Properties
  • Mechanics
  • Three Dimensional
  • Two Dimensional

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.