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On Concentrated Loads and Green's Functions in Elastostatics


Turteltaub, Matias Jose (1968) On Concentrated Loads and Green's Functions in Elastostatics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/NZ29-8943.


This investigation is concerned with the notion of concentrated loads in classical elastostatics and related issues. Following a limit treatment of problems involving concentrated internal and surface loads, the orders of the ensuing displacements and stress singularities, as well as the stress resultants of the latter, are determined. These conclusions are taken as a basis for an alternative direct formulation of concentrated-load problems, the completeness of which is established through an appropriate uniqueness theorem. In addition, the present work supplies a reciprocal theorem and an integral representation-theorem applicable to singular problems of the type under consideration. Finally, in the course of the analysis presented here, the theory of Green's functions in elastostatics is extended.

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):
  • Sternberg, Eli
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 December 1967
Record Number:CaltechTHESIS:01042016-162513340
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9358
Deposited On:05 Jan 2016 22:26
Last Modified:05 Apr 2024 22:54

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