STUDIES ON THE PROPAGATION OF ELASTIC WAVES IN SOLID MEDIA,

Abstract

Stress and displacement correction terms resulting from application of a subsonically moving point load to the free surface of the infinite half-space are obtained using Fourier transform techniques (the load moves subsonically with respect to the longitudinal and transverse wave speeds). It is shown, for the supersonically travelling point load, that the solution is given, in the limit as the load velocity becomes large, by the well known solution of Sauter for the impulsive point load. Analytic function theory is used to predict the existence of Rayleigh waves on the free surface of the infinite half-space and Stoneley waves along the welded interface between two dissimilar solid media. A brief analysis shows that free-running waves are also possible on the interior surface of an infinitely long cylindrical cavity. These waves are dispersive, however, because of the introduction of a characteristic length. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1944
Accession Number
AD0423220

Entities

People

  • Charles Kenneth Grimes

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Displacement
  • Elastic Waves
  • Mechanical Waves
  • Rayleigh Waves
  • Transverse
  • Transverse Waves
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Structural Health Monitoring of Composite Structures.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers
  • Space