SOME RESULTS OF FINITE AMPLITUDE ELASTIC WAVES,

Abstract

Some special types of finite amplitude wave motions are considered, for which kinematical non-linearities do not arise in the equations of motion of an elastic solid. Consequently, only constitutive non-linearities occur and, for special classes of materials, solutions may be read off from corresponding solutions in the linear theory. These include SH-waves and Love waves in layered or inhomogeneous media. Finite amplitude transverse circularly-polarized harmonic progressive waves are shown to propagate in any compressible or incompressible isotropic elastic material. Some effects of homogeneous pre-stress are also investigated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1966
Accession Number
AD0642131

Entities

People

  • M. M. Carroll

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Elastic Materials
  • Elastic Waves
  • Equations
  • Equations Of Motion
  • Linearity
  • Love Waves
  • Materials
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Mechanical Engineering/Mechanics of Materials.