Title
On the Thermal Stresses Due to a Uniform Heat Flow Past a Circular Hole With a Radial Edge Crack
Date of Award
Winter 1987
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics and Statistics
Program/Concentration
Computational and Applied Mathematics
Committee Director
John Tweed
Committee Member
John Swetits
Committee Member
John Heinbockel
Committee Member
Larry Wilson
Abstract
The problem solved in this dissertation is that of finding the stresses in an isotropic, linear, thermoelastic solid when a uniform heat flow is disturbed by the presence of an insulated circular hole with a radial edge crack. By superimposing a Mellin transform solution of the equations of thermoelasticity on a Michell series solution the author reduces the problem to a pair of singular integral equations which are then solved numerically. The stress intensity factors and crack formation energies, quantities of interest to workers in fracture mechanics, are then calculated.
DOI
10.25777/rtt7-yn11
Recommended Citation
Edmonds, George F..
"On the Thermal Stresses Due to a Uniform Heat Flow Past a Circular Hole With a Radial Edge Crack"
(1987). Doctor of Philosophy (PhD), Dissertation, Mathematics and Statistics, Old Dominion University, DOI: 10.25777/rtt7-yn11
https://digitalcommons.odu.edu/mathstat_etds/87