{"id":340,"date":"2017-10-31T17:07:50","date_gmt":"2017-10-31T17:07:50","guid":{"rendered":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/?p=340"},"modified":"2017-11-08T00:30:18","modified_gmt":"2017-11-08T00:30:18","slug":"finite-element-implementation-of-a-thermodynamic-description-of-piezoelectric-microstructures","status":"publish","type":"post","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/finite-element-implementation-of-a-thermodynamic-description-of-piezoelectric-microstructures\/","title":{"rendered":"RE Garc\u00eda, SA Langer, WC Carter “Finite element implementation of a thermodynamic description of piezoelectric microstructures”\u00a0Journal of the American Ceramic Society. 88(3):742-749, 2005."},"content":{"rendered":"

RE Garc\u00eda, SA Langer, WC Carter “Finite element implementation of a thermodynamic description of piezoelectric microstructures<\/a>”\u00a0Journal of the American Ceramic Society.<\/strong> 88(3):742-749, 2005.<\/p>\n

Abstract<\/h3>\n
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A model and numerical framework is developed for piezoelectric materials. The model treats the piezoelectric and electrostrictive effects by incorporating orientation-dependent, single-crystal properties. The method is implemented in Object Oriented Finite Element program, a public domain finite element code, so it can be applied to arbitrary two-dimensional microstructures with crystallographic anisotropy. The model is validated against analytic solutions. Consistency of the method for known cases permits application of the technique to more complicated two-dimensional systems. The piezoelectric and electrostrictive response is determined for a few simple device geometries and provides insight for design and convergence criteria.<\/p>\n<\/div>\n<\/section>\n

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<\/section>\n","protected":false},"excerpt":{"rendered":"

RE Garc\u00eda, SA Langer, WC Carter “Finite element implementation of a thermodynamic…<\/p>\n

Continue reading “RE Garc\u00eda, SA Langer, WC Carter “Finite element implementation of a thermodynamic description of piezoelectric microstructures”\u00a0Journal of the American Ceramic Society. 88(3):742-749, 2005.”<\/span>…<\/a><\/div>\n
Continue reading \"RE Garc\u00eda, SA Langer, WC Carter “Finite element implementation of a thermodynamic description of piezoelectric microstructures”\u00a0Journal of the American Ceramic Society. 88(3):742-749, 2005.\"<\/span>…<\/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":[11,14,53],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/peeeSR-5u","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":338,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/the-effect-of-texture-and-microstructure-on-the-macroscopic-properties-of-polycrystalline-piezoelectrics-application-to-barium-titanate-and-pzn-pt\/","url_meta":{"origin":340,"position":0},"title":"RE Garc\u00eda, WC Carter, \u00a0SA Langer “The effect of texture and microstructure on the macroscopic properties of polycrystalline piezoelectrics: application to barium titanate and PZN\u2013PT”\u00a0Journal of the American Ceramic Society, 88(3):750-757, 2005.","date":"10\/31\/2017","format":false,"excerpt":"RE Garc\u00eda, WC Carter, \u00a0SA Langer \"The effect of texture and microstructure on the macroscopic properties of polycrystalline piezoelectrics: application to barium titanate and PZN\u2013PT\"\u00a0Journal of the American Ceramic Society, 88(3):750-757, 2005. Abstract The effects of crystallographic texture and microstructure are analyzed for polycrystalline tetragonal BaTiO3, pseudotetragonal PZN\u2013PT, and cubic\u2026","rel":"","context":"In "Papers"","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":471,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/s-b-lee-ts-key-z-liang-re-garcia-s-wang-x-tricoche-gs-rohrer-y-saito-c-ito-t-tani-microstructure-design-of-lead-free-piezoelectric-ceramics-journal-of-the-european-ceramic-society\/","url_meta":{"origin":340,"position":1},"title":"S-B Lee, TS Key, Z Liang, RE Garc\u00eda, S Wang, X Tricoche, GS Rohrer, Y Saito, C Ito, T Tani “Microstructure design of lead-free piezoelectric ceramics.”\u00a0Journal of the European Ceramic Society. 33:313-326, 2013.","date":"11\/04\/2017","format":false,"excerpt":"S-B Lee, TS Key, Z Liang, RE Garc\u00eda, S Wang, X Tricoche, GS Rohrer, Y Saito, C Ito, T Tani \"Microstructure design of lead-free piezoelectric ceramics.\"\u00a0Journal of the European Ceramic Society. 33:313-326, 2013. Abstract Computational and experimental methodologies are integrated into a novel combined technique to define microstructure design criteria\u2026","rel":"","context":"In "Papers"","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":336,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/microstructural-modeling-of-multifunctional-material-properties-the-oof-project\/","url_meta":{"origin":340,"position":2},"title":"RE Garc\u00eda, ACE Reid, SA Langer, WC Carter”Microstructural modeling of multifunctional material properties: the OOF project”\u00a0Continuum Scale Simulation of Engineering Materials: Fundamentals-Microstructures-Process Applications,\u00a0573-587.\u00a0Wiley\u2010VCH Verlag GmbH & Co. KGaA, 2005.","date":"10\/31\/2017","format":false,"excerpt":"RE Garc\u00eda, ACE Reid, SA Langer, WC Carter\"Microstructural modeling of multifunctional material properties: the OOF project\"\u00a0Continuum Scale Simulation of Engineering Materials: Fundamentals-Microstructures-Process Applications,\u00a0573-587.\u00a0Wiley\u2010VCH Verlag GmbH & Co. KGaA, 2005. Abstract Recent advances in and applications of the public domain Object Oriented Finite Element software for Materials Science (OOF) are discussed.\u2026","rel":"","context":"In "Papers"","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":356,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/image-based-finite-element-mesh-construction-for-material-microstructures\/","url_meta":{"origin":340,"position":3},"title":"ACE Reid, SA Langer, RC Lua, VR Coffman, S-I Haan, RE Garc\u00eda “Image-based finite element mesh construction for material microstructures.”\u00a0Computational Materials Science. 43(4):989-999, 2008.","date":"10\/31\/2017","format":false,"excerpt":"ACE Reid, SA Langer, RC Lua, VR Coffman, S-I Haan, RE Garc\u00eda \"Image-based finite element mesh construction for material microstructures.\"\u00a0Computational Materials Science. 43(4):989-999, 2008. Abstract One way of computing the macroscopic behavior of a material sample with complex microstructure is to construct a finite element model based on a micrograph\u2026","rel":"","context":"In "Papers"","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":354,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/response-surface-measurement-for-bifeo3-cofe2o4-multiferroic-nanocomposite\/","url_meta":{"origin":340,"position":4},"title":"BE Piccione, JE Blendell, RE Garc\u00eda “Response surface measurement for BiFeO3-CoFe2O4 multiferroic nano composite.”\u00a017th IEEE International Symposium on the Applications of Ferroelectrics. 2:1-3, IEEE, 2008.","date":"10\/31\/2017","format":false,"excerpt":"BE Piccione, JE Blendell, RE Garc\u00eda \"Response surface measurement for BiFeO3-CoFe2O4 multiferroic nano composite.\"\u00a017th IEEE International Symposium on the Applications of Ferroelectrics. 2:1-3, IEEE, 2008. Abstract A thin film BiFeO3 - CoFe2O4 multiferroic nanocomposite has been investigated to determine the coupling between the two phases in a constrained film by\u2026","rel":"","context":"In "Papers"","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":334,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/microstructural-modeling-and-design-of-rechargeable-lithium-ion-batteries\/","url_meta":{"origin":340,"position":5},"title":"RE Garc\u00eda, Y-M Chiang, W C. Carter, P Limthongkul, CM Bishop “Microstructural modeling and design of rechargeable lithium-ion batteries”\u00a0Journal of the Electrochemical Society, 152:A255, 2005.","date":"10\/31\/2017","format":false,"excerpt":"RE Garc\u00eda, Y-M Chiang, W C. Carter, P Limthongkul, CM Bishop \"Microstructural modeling and design of rechargeable lithium-ion batteries\"\u00a0Journal of the Electrochemical Society, 152:A255, 2005. ABSTRACT The properties of rechargeable lithium-ion batteries are determined by the electrochemical and kinetic properties of their constituent materials as well as by their underlying\u2026","rel":"","context":"In "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\/340"}],"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=340"}],"version-history":[{"count":2,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/340\/revisions"}],"predecessor-version":[{"id":575,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/340\/revisions\/575"}],"wp:attachment":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/media?parent=340"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/categories?post=340"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/tags?post=340"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}