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Type of Document	Dissertation
Author	Davison, Lee Walker
Author's Email Address	none@none
URN	etd-10032002-104227
Persistent URL	http://resolver.caltech.edu/CaltechETD:etd-10032002-104227
Title	Propagation of finite amplitude waves in elastic solids
Degree	PhD
Option	Applied Mechanics
Advisory Committee	Advisor Name Title unknown Committee Member
Keywords	none
Date of Defense	1965-05-26
Availability	unrestricted
Abstract 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.
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