Numerical Hopkinson Bar Analysis: Uni-Axial Stress and Planar Bar-Specimen Interface Conditions by Design

Abstract

High strain rate characterization of materials is usually performed using the Split Hopkinson Pressure Bar (SHPB) in the strain rate range 100 - <10,000. In the one-dimensional analysis of Hopkinson bar experiment it is assumed that the specimen deforms under uni-axial stress, the bar-specimen interfaces remain planar at all-time, and the stress equilibrium in the specimen is achieved in travel times. The first two assumptions are in general not true for acoustically hard specimens with diameter smaller than the bars. Explicit dynamic finite element analyses are used to investigate these assumptions. A new specimen design is suggested which satisfies the uni-axial stress condition in the specimen under the linear-elastic deformation phase of the specimen. A new Hopkinson bar experimental technique is presented to ensure that the bar-specimen interfaces remain planar at all time. Extensive numerical analyses are performed to quantify the accuracy of the proposed configurations.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2004
Accession Number
ADA428314

Entities

People

  • Bazle A. Gama
  • John W. Gillespie Jr.

Organizations

  • University of Delaware

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Human Systems
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Composite Materials
  • Diameters
  • Failure Mode And Effect Analysis
  • Finite Element Analysis
  • Geometry
  • Materials
  • Materials Testing
  • Measurement
  • Military Research
  • Modulus Of Elasticity
  • Numerical Analysis
  • Strain Rate
  • Stress Waves
  • Test Methods
  • Three Dimensional
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.