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.
","abstract_html":"<p>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.</p>","abstract_has_math":false,"creators":["Edmonds, George F."],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Mathematics & Statistics","degree_department":null,"school":null,"contributors":["John Tweed","John Swetits","John Heinbockel","Larry Wilson"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1987,"date_issued":"1987-01-01T08:00:00Z","date_published":"1987-01-01T08:00:00Z","updated_at":"2026-07-24T03:35:15Z","subjects":["Thermal stresses","Heat flow","Thermoelastic solid","Radial edge crack","Mathematics"],"languages":[],"rights":["In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
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"]},{"key":"dc:title","label":"Title","values":["On the Thermal Stresses Due to a Uniform Heat Flow Past a Circular Hole With a Radial Edge Crack"]}]}],"canonical_facts":{"dc:contributor":["John Tweed","John Swetits","John Heinbockel","Larry Wilson"],"dc:creator":["Edmonds, George F."],"dc:date.available":["2019-10-01T07:00:00Z"],"dc:description.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.
"],"dc:identifier":["https://digitalcommons.odu.edu/mathstat_etds/87"],"dc:rights":["In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
"],"dc:subject":["Thermal stresses","Heat flow","Thermoelastic solid","Radial edge crack","Mathematics"],"dc:title":["On the Thermal Stresses Due to a Uniform Heat Flow Past a Circular Hole With a Radial Edge Crack"],"thesis:degree_discipline":["Mathematics & Statistics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T03:35:15Z"}