The Conservation Laws of Three Dimensional Linearized Elasticity Theory

Citation

Fletcher, Donnie Carlton (1974) The Conservation Laws of Three Dimensional Linearized Elasticity Theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/TC8V-H381. https://resolver.caltech.edu/CaltechETD:etd-10122005-085657

Abstract

For linearized isotropic elastodynamics and elastostatics, Noether's theorem on invariant variational principles is used to obtain all conservation laws arising from a reasonably general group of infinitesimal transformations. A theorem regarding the completeness of the derived laws is proved, and the conservation laws are then used to derive the wave speed equation for the Rayleigh problem on the surface of an anisotropic half space. An example of additional laws following from the same group but from a more general version of Noether's theorem is given in an appendix devoted to a discussion of limitations on the completeness theorem.

Item Type:	Thesis (Dissertation (Ph.D.))
Subject Keywords:	(Engineering Science)
Degree Grantor:	California Institute of Technology
Division:	Engineering and Applied Science
Major Option:	Engineering
Thesis Availability:	Public (worldwide access)
Research Advisor(s):	Knowles, James K.
Thesis Committee:	Unknown, Unknown
Defense Date:	12 September 1973
Additional Information:	Title varies in the 1974 Caltech commencement program: The Conservation Laws of Linearized Elasticity Theory.
Record Number:	CaltechETD:etd-10122005-085657
Persistent URL:	https://resolver.caltech.edu/CaltechETD:etd-10122005-085657
DOI:	10.7907/TC8V-H381
Default Usage Policy:	No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:	4043
Collection:	CaltechTHESIS
Deposited By:	Imported from ETD-db
Deposited On:	14 Oct 2005
Last Modified:	24 Jul 2024 19:53

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