{"id":475,"date":"2017-11-04T13:52:50","date_gmt":"2017-11-04T13:52:50","guid":{"rendered":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/?p=475"},"modified":"2019-03-21T19:34:56","modified_gmt":"2019-03-22T00:34:56","slug":"o-keles-re-garcia-kj-bowman-stochastic-failure-of-isotropic-brittle-materials-with-uniform-porosity-acta-materialia-6182853-2862-2013","status":"publish","type":"post","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/o-keles-re-garcia-kj-bowman-stochastic-failure-of-isotropic-brittle-materials-with-uniform-porosity-acta-materialia-6182853-2862-2013\/","title":{"rendered":"\u00d6 Kele\u015f, RE Garc\u00eda, KJ Bowman &#8220;Stochastic failure of isotropic, brittle materials with uniform porosity.&#8221;\u00a0Acta Materialia. 61(8):2853-2862, 2013."},"content":{"rendered":"<p>\u00d6 Kele\u015f, RE Garc\u00eda, KJ Bowman &#8220;<a class=\"gsc_vcd_title_link\" href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S1359645413000517\" target=\"_blank\" rel=\"noopener\" data-clk=\"hl=en&amp;sa=T&amp;ei=qtf9WfzrJ8q5mAHPuaXICQ\">Stochastic failure of isotropic, brittle materials with uniform porosity<\/a>.&#8221;\u00a0<strong>Acta Materialia<\/strong>. 61(8):2853-2862, 2013.<\/p>\n<h3>Abstract<\/h3>\n<div class=\"Abstracts\">\n<div id=\"aep-abstract-id10\" class=\"abstract author\" lang=\"en\">\n<div id=\"aep-abstract-sec-id11\">\n<p id=\"sp005\">Porous materials present serious technological constraints on all applications, such as battery electrodes, solid oxide fuel cells, synthetic bone grafts, filters, pharmaceutical powder compacts and feed pellets. Despite the significance of reliability in brittle materials, current literature is limited in pore\u2013pore interaction effects on fracture statistics of brittle porous materials (BPMs). In this paper, a two-dimensional finite element (FE) simulation-based approach was developed to assess the pore\u2013pore interactions and their impact on fracture statistics of isotropic microstructures. The classical fracture mechanics approach was combined with FE simulations that account for the interactions to predict the decrease in the fracture stress with increasing porosity. Rules were directly compared against experimental data for porous polycrystalline alumina, hydroxyapatite, and all the other data combined in Fig.6. The maximum reliability of BPMs was shown to be limited by the underlying pore\u2013pore interactions. Weibull modulus decreased more than threefold for a change in porosity from 1 to 2\u00a0vol.%. The Weibull moduli were between 7 and 18 in the range of 2\u201331\u00a0vol.% porosity. Even the microstructures with the same porosity level and size of pores showed substantial differences in fracture strength.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"Keywords\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p class=\"post-excerpt\" class=\"post-excerpt\">\u00d6 Kele\u015f, RE Garc\u00eda, KJ Bowman &#8220;Stochastic failure of isotropic, brittle materials&hellip;<\/p>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/o-keles-re-garcia-kj-bowman-stochastic-failure-of-isotropic-brittle-materials-with-uniform-porosity-acta-materialia-6182853-2862-2013\/\">Continue reading<span class=\"screen-reader-text\"> &#8220;\u00d6 Kele\u015f, RE Garc\u00eda, KJ Bowman &#8220;Stochastic failure of isotropic, brittle materials with uniform porosity.&#8221;\u00a0Acta Materialia. 61(8):2853-2862, 2013.&#8221;<\/span>&hellip;<\/a><\/div>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/o-keles-re-garcia-kj-bowman-stochastic-failure-of-isotropic-brittle-materials-with-uniform-porosity-acta-materialia-6182853-2862-2013\/\">Continue reading<span class=\"screen-reader-text\"> \"\u00d6 Kele\u015f, RE Garc\u00eda, KJ Bowman &#8220;Stochastic failure of isotropic, brittle materials with uniform porosity.&#8221;\u00a0Acta Materialia. 61(8):2853-2862, 2013.\"<\/span>&hellip;<\/a><\/div>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"advanced_seo_description":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[45],"tags":[74,55,14,15],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/peeeSR-7F","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":481,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/o-keles-re-garcia-kj-bowman-deviations-from-weibull-statistics-in-brittle-porous-materials-acta-materialisa-61197207-7215-2013\/","url_meta":{"origin":475,"position":0},"title":"\u00d6 Kele\u015f, RE Garc\u00eda, KJ Bowman &#8220;Deviations from Weibull statistics in brittle porous materials.&#8221;\u00a0Acta Materialia. 61(19):7207-7215, 2013.","date":"11\/04\/2017","format":false,"excerpt":"\u00d6 Kele\u015f, RE Garc\u00eda, KJ Bowman \"Deviations from Weibull statistics in brittle porous materials.\"\u00a0Acta Materialia. 61(19):7207-7215, 2013. Abstract Brittle porous materials (BPMs) are used for battery, fuel cell, catalyst, membrane, filter, bone graft and pharmaceutical applications due to the multifunctionality of their underlying porosity. However, in spite of its technological\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":490,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/o-keles-re-garcia-kj-bowmanpore-crack-orientation-effects-on-fracture-behavior-of-brittle-porous-materials-international-journal-of-fracture-1872293-299-2014\/","url_meta":{"origin":475,"position":1},"title":"\u00d6 Kele\u015f, RE Garc\u00eda, KJ Bowman&#8221;Pore\u2013crack orientation effects on fracture behavior of brittle porous materials.&#8221;\u00a0International Journal of Fracture, 187(2):293-299, 2014.","date":"11\/04\/2017","format":false,"excerpt":"\u00d6 Kele\u015f, RE Garc\u00eda, KJ Bowman\"Pore\u2013crack orientation effects on fracture behavior of brittle porous materials.\"\u00a0International Journal of Fracture, 187(2):293-299, 2014. Abstract Mechanical behavior of two-dimensional microstructures containing circular pores were simulated under uniaxial and biaxial loading using the finite element method. Resulting stress distributions were combined with classical fracture mechanics\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":498,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/failure-variability-in-porous-glasses-stress-interactions-crack-orientation-and-crack-size-distributions\/","url_meta":{"origin":475,"position":2},"title":"\u00d6 Kele\u1e63, RE Garc\u00eda, KJ Bowman\u00a0&#8220;Failure Variability in Porous Glasses: Stress Interactions, Crack Orientation, and Crack Size Distributions.&#8221;\u00a0Journal of the American Ceramic Society, 97(12):3967-3972, 2014.","date":"11\/04\/2017","format":false,"excerpt":"\u00d6 Kele\u1e63, RE Garc\u00eda, KJ Bowman\u00a0\"Failure Variability in Porous Glasses: Stress Interactions, Crack Orientation, and Crack Size Distributions.\"\u00a0Journal of the American Ceramic Society, 97(12):3967-3972, 2014. Abstract Fracture behavior of porous glass is investigated through a combined finite element\u2013fracture mechanics approach. In contrast to earlier studies, here, simulations embody flaw size\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":529,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/sensitivity-of-fracture-strength-in-porous-glass\/","url_meta":{"origin":475,"position":3},"title":"\u00d6 Kele\u1e63, RE Garc\u00eda, KJ Bowman &#8220;Sensitivity of fracture strength in porous glass.&#8221;\u00a0International Journal of Applied Glass Science, 8(1):116-123, 2017.","date":"11\/04\/2017","format":false,"excerpt":"\u00d6 Kele\u1e63, RE Garc\u00eda, KJ Bowman \"Sensitivity of fracture strength in porous glass.\"\u00a0International Journal of Applied Glass Science, 8(1):116-123, 2017. Abstract We investigated the effect of porosity and crack size distributions on the fracture behavior of porous glass through a combined finite element and fracture mechanics method. Simulations showed that\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":439,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/03\/se-leach-re-garcia-v-nagarajan-edge-and-finite-size-effects-in-polycrystalline-ferroelectrics-acta-materialia-591191-201-2011\/","url_meta":{"origin":475,"position":4},"title":"SE Leach, RE Garc\u00eda, V Nagarajan &#8220;Edge and finite size effects in polycrystalline ferroelectrics.&#8221; Acta Materialia. 59(1):191-201, 2011.","date":"11\/03\/2017","format":false,"excerpt":"SE Leach, RE Garc\u00eda, V Nagarajan \"Edge and finite size effects in polycrystalline ferroelectrics.\" Acta Materialia. 59(1):191-201, 2011. Abstract This paper proposes a method to engineer the effects of mesa aspect ratio on polarization switching for single-crystal and polycrystalline PZT nanostructures. The out-of-plane polarization switching of single-crystal and polycrystalline structures\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":781,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2018\/10\/26\/oat-matheus-re-garcia-cm-bishop-phase-field-theory-and-coexistence-of-ferroelectric-phases-near-the-morphotropic-phase-boundary-acta-materialia-in-press-oct-2018\/","url_meta":{"origin":475,"position":5},"title":"OA Torres-Matheus, RE Garc\u00eda, CM Bishop. \u201cPhase Coexistence Near the Morphotropic Phase Boundary.\u201d Acta Materialia. 164:577-585, 2019.","date":"10\/26\/2018","format":false,"excerpt":"OA Torres-Matheus, RE Garc\u00eda, CM Bishop. \u201cPhase \u00a0Coexistence Near the Morphotropic Phase Boundary.\u201d Acta Materialia. 164:577-585, 2019.\u00a0https:\/\/doi.org\/10.1016\/j.actamat.2018.10.041 Abstract A novel multiphase field theory for ferroelectric systems in the vicinity of a polymorphic phase boundary (PPB) is developed by coupling the Landau-Devonshire thermodynamic potentials of the individual phases. The model naturally\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/475"}],"collection":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/comments?post=475"}],"version-history":[{"count":1,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/475\/revisions"}],"predecessor-version":[{"id":476,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/475\/revisions\/476"}],"wp:attachment":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/media?parent=475"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/categories?post=475"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/tags?post=475"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}