{"id":989,"date":"2026-07-31T20:04:32","date_gmt":"2026-08-01T01:04:32","guid":{"rendered":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/?p=989"},"modified":"2026-07-31T20:04:35","modified_gmt":"2026-08-01T01:04:35","slug":"larry-k-aagesen-stephanie-a-pitts-brennan-k-harris-tiankai-yao-lucas-d-robinson-r-edwin-garcia-electrochemical-grand-potential-based-phase-field-simulation-of-electric-field-assisted-sintering","status":"publish","type":"post","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2026\/07\/31\/larry-k-aagesen-stephanie-a-pitts-brennan-k-harris-tiankai-yao-lucas-d-robinson-r-edwin-garcia-electrochemical-grand-potential-based-phase-field-simulation-of-electric-field-assisted-sintering\/","title":{"rendered":"Larry K Aagesen, Stephanie A Pitts, Brennan K Harris, Tiankai Yao, Lucas D Robinson, R Edwin Garc\u00eda &#8220;Electrochemical grand potential-based phase-field simulation of electric field-assisted sintering.&#8221; Acta Materialia. 275: 120049, 2024."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Larry K Aagesen, Stephanie A Pitts, Brennan K Harris, Tiankai Yao, Lucas D Robinson, R Edwin Garc\u00eda &#8220;<em>Electrochemical grand potential-based phase-field simulation of electric field-assisted sintering.<\/em>&#8221; <strong>Acta Materialia.<\/strong> 275: 120049, 2024. <a href=\"https:\/\/doi.org\/10.1016\/j.actamat.2024.120049\" data-type=\"link\" data-id=\"https:\/\/doi.org\/10.1016\/j.actamat.2024.120049\">https:\/\/doi.org\/10.1016\/j.actamat.2024.120049<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Abstract<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">An electrochemical grand potential functional was proposed to describe the sintering of an ionic ceramic green body. The resultant phase-field description enables simulation of the consolidation of an arbitrary number of granular particles and their interactions with the surrounding void phase. The model includes the effects of charged vacancies and the associated interactions between internal and\u00a0<a href=\"https:\/\/www.sciencedirect.com\/topics\/engineering\/applied-electric-field\">applied electric fields<\/a>. Defect segregation to grain boundaries is also accounted for, as well as enhanced\u00a0<a href=\"https:\/\/www.sciencedirect.com\/topics\/engineering\/interfacial-defect\">interfacial defect<\/a>\u00a0mobilities. The model was parameterized for Y<sub>2<\/sub>O<sub>3<\/sub>. Simulations of two-particle systems showed that the applied electric field had an increasingly important impact on neck growth as particle size increased. A sudden rapid increase in temperature occurred for larger field\u00a0<a href=\"https:\/\/www.sciencedirect.com\/topics\/materials-science\/mechanical-strength\">strengths<\/a>, which has been reported to be correlated to the onset of a flash event in flash sintering. Simulations of many particles showed that\u00a0<a href=\"https:\/\/www.sciencedirect.com\/topics\/engineering\/internal-heat-generation\">internal heat generation<\/a>\u00a0by\u00a0<a href=\"https:\/\/www.sciencedirect.com\/topics\/chemical-engineering\/joule-heating\">Joule heating<\/a>\u00a0was localized at particle\u2013particle contacts (grain boundaries), even though their conductivities were lower than nearby internal particle-void interfaces. A percolative path for ionic charge across the green body and the ceramic sintered solid was thus defined, accelerating the Joule heating process as the porosity of the green body is removed.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p class=\"post-excerpt\" class=\"post-excerpt\">Larry K Aagesen, Stephanie A Pitts, Brennan K Harris, Tiankai Yao, Lucas&hellip;<\/p>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2026\/07\/31\/larry-k-aagesen-stephanie-a-pitts-brennan-k-harris-tiankai-yao-lucas-d-robinson-r-edwin-garcia-electrochemical-grand-potential-based-phase-field-simulation-of-electric-field-assisted-sintering\/\">Continue reading<span class=\"screen-reader-text\"> &#8220;Larry K Aagesen, Stephanie A Pitts, Brennan K Harris, Tiankai Yao, Lucas D Robinson, R Edwin Garc\u00eda &#8220;Electrochemical grand potential-based phase-field simulation of electric field-assisted sintering.&#8221; Acta Materialia. 275: 120049, 2024.&#8221;<\/span>&hellip;<\/a><\/div>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2026\/07\/31\/larry-k-aagesen-stephanie-a-pitts-brennan-k-harris-tiankai-yao-lucas-d-robinson-r-edwin-garcia-electrochemical-grand-potential-based-phase-field-simulation-of-electric-field-assisted-sintering\/\">Continue reading<span class=\"screen-reader-text\"> \"Larry K Aagesen, Stephanie A Pitts, Brennan K Harris, Tiankai Yao, Lucas D Robinson, R Edwin Garc\u00eda &#8220;Electrochemical grand potential-based phase-field simulation of electric field-assisted sintering.&#8221; Acta Materialia. 275: 120049, 2024.\"<\/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_seo_html_title":"","jetpack_seo_noindex":false,"jetpack_seo_schema_type":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[45],"tags":[6,75,14,48],"class_list":["post-989","post","type-post","status-publish","format-standard","hentry","category-papers","tag-electrochemistry","tag-flash-sintering","tag-microstructures","tag-phase-field","entry"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/peeeSR-fX","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":921,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2022\/06\/08\/l-d-robinson-k-s-n-vikrant-j-e-blendell-c-a-handwerker-r-e-garcia-interfacial-and-volumetric-melting-regimes-of-sn-nanoparticles-acta-materialia-in-press-2022\/","url_meta":{"origin":989,"position":0},"title":"L.D. Robinson, K.S.N. Vikrant, J.E. Blendell, C.A. Handwerker, R.E. Garc\u00eda  &#8220;Interfacial and Volumetric Melting Regimes of Sn Nanoparticles.&#8221; Acta Materialia. In Press. 2022","author":"redwing","date":"06\/08\/2022","format":false,"excerpt":"L.D. Robinson, K.S.N. Vikrant, J.E. Blendell, C.A. Handwerker, and R.E. Garc\u00eda \"Interfacial and Volumetric Melting Regimes of Sn Nanoparticles.\" Acta Materialia. In Press. 2022.\u00a0https:\/\/doi.org\/10.1016\/j.actamat.2022.118084 Abstract A thermodynamically consistent phase field formulation was developed to describe what has been historically known as the premelted surface layer in Sn nanoparticles. Two interfacial\u2026","rel":"","context":"In &quot;Papers&quot;","block_context":{"text":"Papers","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/category\/papers\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/engineering.purdue.edu\/ComputationalMaterials\/wp-content\/uploads\/2022\/06\/1-s2.0-S1359645422004657-ga1_lrg-1.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/engineering.purdue.edu\/ComputationalMaterials\/wp-content\/uploads\/2022\/06\/1-s2.0-S1359645422004657-ga1_lrg-1.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/engineering.purdue.edu\/ComputationalMaterials\/wp-content\/uploads\/2022\/06\/1-s2.0-S1359645422004657-ga1_lrg-1.jpg?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/engineering.purdue.edu\/ComputationalMaterials\/wp-content\/uploads\/2022\/06\/1-s2.0-S1359645422004657-ga1_lrg-1.jpg?resize=700%2C400&ssl=1 2x, https:\/\/i0.wp.com\/engineering.purdue.edu\/ComputationalMaterials\/wp-content\/uploads\/2022\/06\/1-s2.0-S1359645422004657-ga1_lrg-1.jpg?resize=1050%2C600&ssl=1 3x"},"classes":[]},{"id":806,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2019\/02\/20\/k-s-n-vikrant1-and-r-edwin-garcia-charged-grain-boundary-transitions-in-ionic-ceramics-for-energy-applications-npj-computational-materials-2019524-https-doi-org-10-1038-s41524-019-0159\/","url_meta":{"origin":989,"position":1},"title":"K. S. N. Vikrant and R. Edwin Garc\u00eda &#8220;Charged grain boundary transitions in ionic ceramics for energy applications.&#8221; npj Computational Materials (2019)5:24","author":"redwing","date":"02\/20\/2019","format":false,"excerpt":"K. S. N. Vikrant and R. Edwin Garc\u00eda \"Charged grain boundary transitions in ionic ceramics for energy applications.\" npj Computational Materials (2019)5:24; https:\/\/doi.org\/10.1038\/s41524-019-0159-2. abstract Surfaces and interfaces in ionic ceramics play a pivotal role in defining the transport limitations in many of the existing and emerging applications in energy-related systems\u2026","rel":"","context":"In &quot;Papers&quot;","block_context":{"text":"Papers","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/category\/papers\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":854,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2020\/10\/01\/rl-grosso-ksn-vikrant-l-feng-ens-muccillo-dnf-muche-gs-jawaharram-cm-barr-am-monterrosa-rhr-castro-re-garcia-k-hattar-sj-dillon-ultrahigh-temperature-in-situ-transmission-electron-microsco\/","url_meta":{"origin":989,"position":2},"title":"RL Grosso, KSN Vikrant,  RE Garc\u00eda, K Hattar, SJ Dillon, et al. &#8220;Ultrahigh Temperature in situ Transmission Electron Microscopy based Bicrystal Coble Creep in Zirconia II: Interfacial Thermodynamics and Transport Mechanisms.&#8221;  Acta Materialia, 200:1008-1021, 2020.","author":"redwing","date":"10\/01\/2020","format":false,"excerpt":"RL Grosso KSN Vikrant, L Feng, ENS Muccillo, DNF Muche, GS Jawaharram, CM Barr, AM Monterrosa, RHR Castro, RE Garc\u00eda, K Hattar, SJ Dillon \"Ultrahigh Temperature in situ Transmission Electron Microscopy based Bicrystal Coble Creep in Zirconia II: Interfacial Thermodynamics and Transport Mechanisms.\"\u00a0Acta Materialia, 200:1008-1021, 2020.\u00a0https:\/\/doi.org\/10.1016\/j.actamat.2020.08.070 Abstract This work uses\u2026","rel":"","context":"In &quot;Papers&quot;","block_context":{"text":"Papers","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/category\/papers\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":972,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2026\/07\/31\/aniruddha-jana-r-edwin-garcia-spatially-resolved-growth-mechanisms-of-a-lithium-dendrite-population-journal-of-the-electrochemical-society-1703-030533-2023\/","url_meta":{"origin":989,"position":3},"title":"Aniruddha Jana, R Edwin Garc\u00eda &#8220;Spatially resolved growth mechanisms of a lithium dendrite population.&#8221;Journal of The Electrochemical Society. 170(3): 030533, 2023.","author":"redwing","date":"07\/31\/2026","format":false,"excerpt":"Aniruddha Jana, R Edwin Garc\u00eda \"Spatially resolved growth mechanisms of a lithium dendrite population.\"Journal of the Electrochemical Society. 170(3): 030533, 2023. https:\/\/doi.org\/10.1149\/1945-7111\/acb08b Abstract By developing a thermodynamically consistent phase field framework, which includes position-dependent large deformation mechanics, plasticity, electrochemistry, and electrodeposition, twelve growth mechanisms were identified. Specifically, previously reported\u00a0tip-controlled growthmechanism\u2026","rel":"","context":"In &quot;Papers&quot;","block_context":{"text":"Papers","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/category\/papers\/"},"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":989,"position":4},"title":"OA Torres-Matheus, RE Garc\u00eda, CM Bishop. \u201cPhase Coexistence Near the Morphotropic Phase Boundary.\u201d Acta Materialia. 164:577-585, 2019.","author":"redwing","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;","block_context":{"text":"Papers","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/category\/papers\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":879,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2021\/01\/21\/k-s-n-vikrant-x-l-phuah-j-lund-han-wang-c-s-hellberg-n-bernstein-w-rheinheimer-c-m-bishop-h-wang-and-r-e-garcia-modeling-of-flash-sintering-of-ionic-ceramics-mrs-bulletin-janua\/","url_meta":{"origin":989,"position":5},"title":"K.S.N. Vikrant, X.L. Phuah, J. Lund, Han Wang, C.S. Hellberg, N. Bernstein, W. Rheinheimer, C.M. Bishop, H. Wang, and R.E. Garc\u00eda &#8220;Modeling of flash sintering of ionic ceramics.&#8221; MRS Bulletin, 46(1):67-75, 2021.","author":"redwing","date":"01\/21\/2021","format":false,"excerpt":"K.S.N. Vikrant, X.L. Phuah, J. Lund, Han Wang, C.S. Hellberg, N. Bernstein, W. Rheinheimer, C.M. Bishop, H. Wang, and R.E. Garc\u00eda \"Modeling of flash sintering of ionic ceramics.\" MRS Bulletin, 46(1):67-75, 2021.\u00a0doi:10.1557\/s43577-020-00012-0 abstract A fundamental understanding of the influence of defects in ionic ceramics at the atomic, microstructural, and macroscopic\u2026","rel":"","context":"In &quot;Papers&quot;","block_context":{"text":"Papers","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/category\/papers\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/989","targetHints":{"allow":["GET"]}}],"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=989"}],"version-history":[{"count":1,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/989\/revisions"}],"predecessor-version":[{"id":990,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/989\/revisions\/990"}],"wp:attachment":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/media?parent=989"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/categories?post=989"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/tags?post=989"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}