PROPAGATION OF CYLINDRICAL SHEAR WAVES IN NONHOMOGENEOUS ELASTIC MEDIA

Abstract

The method of characteristics is applied to the set of equations which governs the propagation of axially symmetric torsional shear waves in nonhomogeneous elastic media. The wave velocities, characteristic equations, and the equations governing the propagation of abrupt changes (discontinuous wave fronts) are derived in closed form. Numerical integration along the characteristic directions was carried out for several examples on an electronic computer. The solutions of three specific examples calculated show general agreement with existing solutions by other methods. For certain problems, the method of characteristics yield additional results which cannot be obtained by the Laplace transform method.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1966
Accession Number
AD0642499

Entities

People

  • Pei Chi Chou
  • Richard J. Schaller

Organizations

  • Drexel University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Agreements
  • Boundaries
  • Classification
  • Computers
  • Differential Equations
  • Discontinuities
  • Engineering
  • Equations
  • Materials
  • Method Of Characteristics
  • Numerical Integration
  • Pennsylvania
  • Secondary Waves
  • Shear Modulus
  • Shear Stresses
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.

Technology Areas

  • Microelectronics