{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/68520"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/68520","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"On the Theory of Stress-Assisted Diffusion","abstract":"Similarity and general steady-state solutions of a recently developed stress-assisted diffusion theory are obtained. General transient solutions are obtained analytically for certain classes of stress distributions. For general stress distributions a perturbation method is employed to produce transient solutions. Under appropriate circumstances the derived solutions are reduced to previous formulae that have been sporadically proposed in the literature. Examples of interesting crack problems involving stress singularities as well as the elimination of singularities are considered. An equilibrium solution is utilized together with a straightforward physical argument to produce rationally two empirical formulae previously proposed in the literature to model embrittlement and stress corrosion cracking phenomena. This solution is further utilized to model embrittlement and stress corrosion cracking data more successfully than previous attempts. An appendix on certain preliminary elastodiffusive fracture criteria is given.","abstract_html":"Similarity and general steady-state solutions of a recently developed stress-assisted diffusion theory are obtained. General transient solutions are obtained analytically for certain classes of stress distributions. For general stress distributions a perturbation method is employed to produce transient solutions. Under appropriate circumstances the derived solutions are reduced to previous formulae that have been sporadically proposed in the literature. Examples of interesting crack problems involving stress singularities as well as the elimination of singularities are considered. An equilibrium solution is utilized together with a straightforward physical argument to produce rationally two empirical formulae previously proposed in the literature to model embrittlement and stress corrosion cracking phenomena. This solution is further utilized to model embrittlement and stress corrosion cracking data more successfully than previous attempts. An appendix on certain preliminary elastodiffusive fracture criteria is given.","abstract_has_math":false,"creators":["Unger, David James"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Theoretical and Applied Mechanics","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-14T14:42:23Z","date_published":"2014-12-14T14:42:23Z","updated_at":"2026-07-22T22:25:59Z","subjects":["Applied Mechanics"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8127721"],"render_values":[{"text":"(UMI)AAI8127721","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/68520","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Unger, David James"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-14T14:42:23Z","10000-01-01","1981"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Theoretical and Applied Mechanics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Applied Mechanics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/68520","(UMI)AAI8127721"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Similarity and general steady-state solutions of a recently developed stress-assisted diffusion theory are obtained. General transient solutions are obtained analytically for certain classes of stress distributions. For general stress distributions a perturbation method is employed to produce transient solutions. Under appropriate circumstances the derived solutions are reduced to previous formulae that have been sporadically proposed in the literature. Examples of interesting crack problems involving stress singularities as well as the elimination of singularities are considered. An equilibrium solution is utilized together with a straightforward physical argument to produce rationally two empirical formulae previously proposed in the literature to model embrittlement and stress corrosion cracking phenomena. This solution is further utilized to model embrittlement and stress corrosion cracking data more successfully than previous attempts. An appendix on certain preliminary elastodiffusive fracture criteria is given.","Made available in DSpace on 2014-12-14T14:42:23Z (GMT). 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Under appropriate circumstances the derived solutions are reduced to previous formulae that have been sporadically proposed in the literature. Examples of interesting crack problems involving stress singularities as well as the elimination of singularities are considered. An equilibrium solution is utilized together with a straightforward physical argument to produce rationally two empirical formulae previously proposed in the literature to model embrittlement and stress corrosion cracking phenomena. This solution is further utilized to model embrittlement and stress corrosion cracking data more successfully than previous attempts. An appendix on certain preliminary elastodiffusive fracture criteria is given.","Made available in DSpace on 2014-12-14T14:42:23Z (GMT). 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