Normal Impact of an Infinite Elastic-Plastic Beam by a Semi-Infinite Elastic Rod.

Abstract

Solutions are obtained for the problem of normal impact of an infinite elastic-plastic beam by a semi-infinite elastic rod. The effects of rotatory inertia and shear deformations are included in the equations governing the motion of the beam. A strain rate independent model based on concepts similar to those employed in quasi-static plasticity is used to describe material behavior. The interaction between moment and shear force is included. A strain hardening criterion is used based on the quasi-static moment-curvature relation for pure bending. Strain-time profiles computed using this theory agree reasonably well with those obtained in experiments on aluminum beams. The computed solutions are also compared with predictions based on a rigid perfectly plastic beam theory. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1971
Accession Number
AD0726548

Entities

People

  • R. J. Clifton
  • Suhas Ranganath

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Aluminum
  • Curvature
  • Equations
  • Geometric Forms
  • Geometry
  • Hardening
  • Lines (Geometry)
  • Materials
  • Mathematics
  • Plastic Properties
  • Strain Hardening
  • Strain Rate

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Structural Dynamics.