HAND SOLUTION OF ONE-DIMENSIONAL INELASTIC WAVE-PROPAGATION PROBLEMS.

Abstract

A method for obtaining a numerical solution to a wide variety of one-dimensional inelastic wave-propagation problems is discussed. The emphasis is on solutions to problems involving air-induced propagation in soil or rock resulting from a nuclear detonation under superseismic conditions. Emphasis is also placed on hand solutions obtained using a desk calculator and drafting instruments. The method is quite versatile in that it allows any pressure or kinematic condition at a boundary, any nonlinear and hysteretic material stress-strain curves, and any layering of different materials. The principal limitations of the method are that it does not treat viscoelastic material behavior, problems involving more than one-dimensional behavior, and problems in which strains and particle velocities are not relatively small. Two example problems are included: one shows the formation of a shock in a homogeneous medium, and the other shows wave propagation through a layered medium. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1967
Accession Number
AD0821654

Entities

People

  • Phillip A. Abbott

Organizations

  • University of New Mexico

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Calculators
  • Detonations
  • Drafting
  • Energetic Materials
  • Explosives
  • Materials
  • Mechanical Properties
  • Particles
  • Physical Properties
  • Stress Strain Relations
  • Stresses
  • Wave Propagation

Readers

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