{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/21002"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/21002","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Development of analytical model relating compressive strength in porous ceramics to mercury intrusion porosimetry-derived microstructural parameters","abstract":"The Ryshkewitch equation, $\\sigma$ = $\\sigma\\sp\\circ$ exp($-\\beta$P), has been a classical formula representing the strength of porous ceramic materials. Here $\\beta$ is an empirical constant. Hence this equation lacks the capability of relating microstructure to actual strengths, especially with regard to $\\beta$. Correspondingly, this research focused on the relationship between $\\beta$ and the microstructure of porous ceramics.","abstract_html":"The Ryshkewitch equation, <span class=\"etd-inline-math\">&sigma;</span> = <span class=\"etd-inline-math\">&sigma;\\sp\\circ</span> exp(<span class=\"etd-inline-math\">-&beta;</span>P), has been a classical formula representing the strength of porous ceramic materials. Here <span class=\"etd-inline-math\">&beta;</span> is an empirical constant. Hence this equation lacks the capability of relating microstructure to actual strengths, especially with regard to <span class=\"etd-inline-math\">&beta;</span>. Correspondingly, this research focused on the relationship between <span class=\"etd-inline-math\">&beta;</span> and the microstructure of porous ceramics.","abstract_has_math":true,"creators":["Park, Taeun"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Materials Engineering","degree_department":null,"school":null,"contributors":["Buchanan, Relva C."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T12:55:27Z","date_published":"2011-05-07T12:55:27Z","updated_at":"2026-07-22T22:25:17Z","subjects":["Engineering, Materials Science"],"languages":["eng"],"rights":["Copyright 1993 Park, Taeun"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9411747","(UMI)AAI9411747"],"render_values":[{"text":"AAI9411747","href":null,"code":true},{"text":"(UMI)AAI9411747","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/21002","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Buchanan, Relva C."]},{"key":"dc:creator","label":"Author","values":["Park, Taeun"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T12:55:27Z","10000-01-01","1993"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Materials Engineering"]},{"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":["Engineering, Materials Science"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1993 Park, Taeun"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["AAI9411747","(UMI)AAI9411747","http://hdl.handle.net/2142/21002"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The Ryshkewitch equation, $\\sigma$ = $\\sigma\\sp\\circ$ exp($-\\beta$P), has been a classical formula representing the strength of porous ceramic materials. Here $\\beta$ is an empirical constant. Hence this equation lacks the capability of relating microstructure to actual strengths, especially with regard to $\\beta$. Correspondingly, this research focused on the relationship between $\\beta$ and the microstructure of porous ceramics.","The porous ceramic materials were fabricated by using diatomaceous earth, vermiculite, kaolin and glass frit. To characterize the microstructure of the porous ceramics, MIP (Mercury Intrusion Porosimetry) was used. With the aid of statistical analysis (multiple linear regression), the following formula was derived: $\\sigma = \\sigma\\sp*$exp($-\\beta\\sp*$ P) where $\\sigma\\sp* = \\sigma\\sp\\circ$ for polycrystalline system, and 2.68 $\\sigma\\sp\\circ$ for glass system and $$\\beta\\sp* = 3.55 + \\rm {19.1S\\sb{l} + 5. 06r\\sb2\\sp\\prime + 0.076R\\sb3\\over P}.$$Here S$\\sb\\ell$,r$\\sb2\\sp\\prime$, and R$\\sb3$ are MIP-derived microstructural parameters. The above equation predicted the compressive strength within 30% for the porous fabricated ceramics and also for hardened cements.","With respect to the optimization of strength/weight ratio, the porous ceramics fabricated in this research showed high strength/density ratio ranging from 2000-40000 psi $\\cdot$ cm$\\sp3$/g. This ratio is higher than conventional sintered lightweight ceramics by a factor of 2 and than lightweight concrete by an order of magnitude.","Made available in DSpace on 2011-05-07T12:55:27Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9411747.pdf: 7313081 bytes, checksum: 05058a51c039f977a4b4ef4c1e40bdd5 (MD5) Previous issue date: 1993","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:47:49Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:21:37-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Development of analytical model relating compressive strength in porous ceramics to mercury intrusion porosimetry-derived microstructural parameters"]}]}],"canonical_facts":{"dc:contributor":["Buchanan, Relva C."],"dc:creator":["Park, Taeun"],"dc:date":["2011-05-07T12:55:27Z","10000-01-01","1993"],"dc:description":["The Ryshkewitch equation, $\\sigma$ = $\\sigma\\sp\\circ$ exp($-\\beta$P), has been a classical formula representing the strength of porous ceramic materials. Here $\\beta$ is an empirical constant. Hence this equation lacks the capability of relating microstructure to actual strengths, especially with regard to $\\beta$. Correspondingly, this research focused on the relationship between $\\beta$ and the microstructure of porous ceramics.","The porous ceramic materials were fabricated by using diatomaceous earth, vermiculite, kaolin and glass frit. To characterize the microstructure of the porous ceramics, MIP (Mercury Intrusion Porosimetry) was used. With the aid of statistical analysis (multiple linear regression), the following formula was derived: $\\sigma = \\sigma\\sp*$exp($-\\beta\\sp*$ P) where $\\sigma\\sp* = \\sigma\\sp\\circ$ for polycrystalline system, and 2.68 $\\sigma\\sp\\circ$ for glass system and $$\\beta\\sp* = 3.55 + \\rm {19.1S\\sb{l} + 5. 06r\\sb2\\sp\\prime + 0.076R\\sb3\\over P}.$$Here S$\\sb\\ell$,r$\\sb2\\sp\\prime$, and R$\\sb3$ are MIP-derived microstructural parameters. The above equation predicted the compressive strength within 30% for the porous fabricated ceramics and also for hardened cements.","With respect to the optimization of strength/weight ratio, the porous ceramics fabricated in this research showed high strength/density ratio ranging from 2000-40000 psi $\\cdot$ cm$\\sp3$/g. This ratio is higher than conventional sintered lightweight ceramics by a factor of 2 and than lightweight concrete by an order of magnitude.","Made available in DSpace on 2011-05-07T12:55:27Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9411747.pdf: 7313081 bytes, checksum: 05058a51c039f977a4b4ef4c1e40bdd5 (MD5) Previous issue date: 1993","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:47:49Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:21:37-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"],"dc:identifier":["AAI9411747","(UMI)AAI9411747","http://hdl.handle.net/2142/21002"],"dc:language":["eng"],"dc:rights":["Copyright 1993 Park, Taeun"],"dc:subject":["Engineering, Materials Science"],"dc:title":["Development of analytical model relating compressive strength in porous ceramics to mercury intrusion porosimetry-derived microstructural parameters"],"dc:type":["text"],"thesis:degree_discipline":["Materials Engineering"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:17Z"}