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Propagation of Finite Amplitude Waves in Elastic Solids


Davison, Lee Walker (1965) Propagation of Finite Amplitude Waves in Elastic Solids. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Q1QQ-VG41.


This thesis is devoted to consideration of finite amplitude waves propagating into an elastic half-space in a direction normal to the boundary. Excitation is by means of strains applied at the boundary as step functions of time. The solutions obtained are combinations of centered simple waves and shock waves. Longitudinal waves may appear alone but waves with transverse displacement components are always accompanied by longitudinal waves. The foregoing solutions are discussed in general and are illustrated by an example problem involving a special nonlinear, compressible, hyperelastic material. A perturbation method, based on the use of characteristic coordinates, which facilitates approximate solution of the problem for arbitrarily prescribed strain boundary conditions is described.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Applied Mechanics)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied Mechanics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Knowles, James K.
Thesis Committee:
  • Unknown, Unknown
Defense Date:26 May 1965
Record Number:CaltechETD:etd-10032002-104227
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3877
Deposited By: Imported from ETD-db
Deposited On:03 Oct 2002
Last Modified:08 Feb 2024 00:27

Thesis Files

PDF (Davison_l_1965.pdf) - Final Version
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