ON CERTAIN CLOSED-FORM SOLUTIONS TO PROBLEMS OF WAVE PROPAGATION IN A STRAIN-HARDENING ROD,

Abstract

One-dimensional wave propagation in a semi-infinite strain-hardening rod loaded at one end by a suddenly applied and thereafter monotonically decreasing compressive stress is considered. The general problem is discussed and expressions for stress, strain and velocity, together with the governing differential equations for a strain-hardening shock wave are given in their general forms. Closed-form solutions are obtained for stress-strain relations consisting of a power law for loading beyond an initial elastic range and a constant strain law for unloading in the entire range of strain. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1968
Accession Number
AD0678388

Entities

People

  • R. C. Shieh

Organizations

  • University of California, San Diego

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Hardening
  • Mechanical Properties
  • Physical Properties
  • Shock
  • Shock Waves
  • Strain Hardening
  • Stress Strain Relations
  • Stresses
  • Unloading
  • Wave Propagation
  • Waves

Readers

  • Fluid Dynamics.
  • Materials Science (Mechanical Engineering).
  • Microwave Engineering.