CONSTITUTIVE EQUATIONS DEVELOPED FROM IMPACT STUDIES,

Abstract

It was discovered through free flight impact tests using specimens traveling at a constant velocity prior to impact that one form of the deformation curve for high purity aluminum and copper single crystals could be represented as a 1/4-power law. This particular deformation law as found to be predictable using the stress and strain ratios of the aggregate theory of Taylor. These predictions were made on the basis of the deformation of polycrystalline metals. A generalization of the 1/4-power law constitutive relation is shown to account for uniaxial deformation that occurs for both single crystal and polycrystalline specimens subjected to static or dynamic deformations. This formulation is related to the parabolic type of constitutive development proposed by Bell. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1968
Accession Number
AD0676110

Entities

People

  • William J. Gillich

Organizations

  • Ballistic Research Laboratory

Tags

DTIC Thesaurus Topics

  • Aluminum
  • Constitutive Equations
  • Crystals
  • Dynamic Loads
  • Equations
  • Flight
  • Free Flight
  • Impact Tests
  • Materials
  • Metals
  • Polycrystals
  • Single Crystals

Readers

  • Fluid Dynamics.
  • Materials Science and Engineering.
  • Mechanical Engineering/Mechanics of Materials.