GENERATION OF AN ELASTIC WAVE BY QUASI-STATIC ISENTROPIC EXPANSION OF A GAS IN A SPHERICAL CAVITY; COMPARISON BETWEEN FINITE DIFFERENCE PREDICTIONS AND THE EXACT SOLUTION.

Abstract

The exact solution is obtained for the spherical wave generated by the quasi-static expansion of a 'gamma law' gas that fills a spherical cavity contained in an elastic medium. The results from several parametric studies involving the particle velocity, the stresses, the 'hydrodynamic' pressure, and the stress deviators are presented. Results from a typical Lagrangian finite difference technique are compared with the exact theory in order to estimate errors that may exist when these techniques are used to calculate numerical solutions for problems that have no exact solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1966
Accession Number
AD0489889

Entities

People

  • Henry F. Cooper Jr.

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Demographic Cohorts
  • Demography
  • Elastic Waves
  • Mechanical Waves
  • Particles
  • Spherical Waves
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.