In this dissertation the author solves a series of mixed boundary value problems arising from crack problems in elasticity and thermoelasticity. Using integral transform techniques and separation of variables appropriately, it is shown that the solutions can be found by solving a corresponding set of triple or dual integral equations in some instances, while in others the solutions of triple or dual series relations are required. These in turn reduce to various singular integral equations which are solved in closed form, in two cases, or by numerical methods. The stress intensity factors at the crack tips, the physical parameters of interest, are found and the results are recorded in both tabular and graphical form.
","abstract_html":"<p>In this dissertation the author solves a series of mixed boundary value problems arising from crack problems in elasticity and thermoelasticity. Using integral transform techniques and separation of variables appropriately, it is shown that the solutions can be found by solving a corresponding set of triple or dual integral equations in some instances, while in others the solutions of triple or dual series relations are required. These in turn reduce to various singular integral equations which are solved in closed form, in two cases, or by numerical methods. The stress intensity factors at the crack tips, the physical parameters of interest, are found and the results are recorded in both tabular and graphical form.</p>","abstract_has_math":false,"creators":["Davidson, Stuart"],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Mathematics & Statistics","degree_department":null,"school":null,"contributors":["Gordon Melrose","Robert Tait","John Tweed","John A. Adam"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1990,"date_issued":"1990-04-01T08:00:00Z","date_published":"1990-04-01T08:00:00Z","updated_at":"2026-07-24T03:35:15Z","subjects":["Elasticity","Thermoelasticity","Boundary value problems","Crack problems","Stress","Applied Mathematics","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":["Boundary Value Problems in Elasticity and Thermoelasticity"]}]}],"canonical_facts":{"dc:contributor":["Gordon Melrose","Robert Tait","John Tweed","John A. Adam"],"dc:creator":["Davidson, Stuart"],"dc:date.available":["2019-10-01T07:00:00Z"],"dc:description.abstract":["In this dissertation the author solves a series of mixed boundary value problems arising from crack problems in elasticity and thermoelasticity. Using integral transform techniques and separation of variables appropriately, it is shown that the solutions can be found by solving a corresponding set of triple or dual integral equations in some instances, while in others the solutions of triple or dual series relations are required. These in turn reduce to various singular integral equations which are solved in closed form, in two cases, or by numerical methods. The stress intensity factors at the crack tips, the physical parameters of interest, are found and the results are recorded in both tabular and graphical form.
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"],"dc:subject":["Elasticity","Thermoelasticity","Boundary value problems","Crack problems","Stress","Applied Mathematics","Mathematics"],"dc:title":["Boundary Value Problems in Elasticity and Thermoelasticity"],"thesis:degree_discipline":["Mathematics & Statistics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T03:35:15Z"}