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Jakub, Marlyn T. (1965-06-01) A wave front approximation method and its application to elastic stress waves. http://resolver.caltech.edu/CaltechETD:etd-01152003-152904


Type of Document Engineer's Thesis
Author Jakub, Marlyn T.
URN etd-01152003-152904
Persistent URL http://resolver.caltech.edu/CaltechETD:etd-01152003-152904
Title A wave front approximation method and its application to elastic stress waves
Degree Engineer's Degree
Option Mechanical Engineering
Advisory Committee
Advisor Name Title
Unknown Committee Member
Keywords
  • None
Date of Defense 1965-06-01
Availability unrestricted
Abstract
This paper presents a new direct method of obtaining wave front approximations for problems involving hyperbolic differential equations. In the problem of a semi-infinite, end-loaded elastic strip (the problem used to illustrate the method), asymptotic solutions are obtained for wave fronts prior to multiple edge interactions. For the special end loading of a step velocity, the results agree with prior results obtained by more complex methods of approximation. Extension of the method to multiple interactions and to other problems of stress wave propagation is briefly discussed.
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