{"id":338,"date":"2017-10-31T17:03:27","date_gmt":"2017-10-31T17:03:27","guid":{"rendered":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/?p=338"},"modified":"2017-11-08T00:30:45","modified_gmt":"2017-11-08T00:30:45","slug":"the-effect-of-texture-and-microstructure-on-the-macroscopic-properties-of-polycrystalline-piezoelectrics-application-to-barium-titanate-and-pzn-pt","status":"publish","type":"post","link":"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\/","title":{"rendered":"RE Garc\u00eda, WC Carter, \u00a0SA Langer &#8220;The effect of texture and microstructure on the macroscopic properties of polycrystalline piezoelectrics: application to barium titanate and PZN\u2013PT&#8221;\u00a0Journal of the American Ceramic Society, 88(3):750-757, 2005."},"content":{"rendered":"<p>RE Garc\u00eda, WC Carter, \u00a0SA Langer &#8220;<a class=\"gsc_vcd_title_link\" href=\"http:\/\/onlinelibrary.wiley.com\/doi\/10.1111\/j.1551-2916.2005.00109.x\/full\" target=\"_blank\" rel=\"noopener\" data-clk=\"hl=en&amp;sa=T&amp;ei=dL74WfTyMZ6umgHQlYdg\">The effect of texture and microstructure on the macroscopic properties of polycrystalline piezoelectrics: application to barium titanate and PZN\u2013PT<\/a>&#8221;\u00a0<strong>Journal of the American Ceramic Society<\/strong>, 88(3):750-757, 2005.<\/p>\n<h3>Abstract<\/h3>\n<p>The effects of crystallographic texture and microstructure are analyzed for polycrystalline tetragonal BaTiO<sub>3<\/sub>, pseudotetragonal PZN\u2013PT, and cubic BaTiO<sub>3<\/sub>. For tetragonal BaTiO<sub>3<\/sub> and pseudotetragonal PZN\u2013PT, we demonstrate that a high anisotropy of the single-crystal properties induces an apparent enhancement in the macroscopic piezoelectric response. For tetragonal BaTiO<sub>3<\/sub>, the predicted macroscopic piezoelectric constants <em>d<\/em><sub>31<\/sub> and <em>d<\/em><sub>33<\/sub> are enhanced with respect to its single-crystal value at the expense of the spatial contributions from <em>d<\/em><sub>15<\/sub>. For samples possessing fiber texture, an optimal response is predicted for samples that are not perfectly textured. Similarly, an apparent enhancement of the macroscopic value of <em>d<\/em><sub>15<\/sub> is predicted for PZN\u2013PT. For cubic BaTiO<sub>3<\/sub>, the low anisotropy of the underlying crystal properties induces a uniform decrease of the macroscopic electrostrictive constant, <em>Q<\/em><sub>11<\/sub>, with decreasing texture. A completely random polycrystal provides 0.85\u00b10.05 times its single-crystal response.<\/p>\n","protected":false},"excerpt":{"rendered":"<p class=\"post-excerpt\" class=\"post-excerpt\">RE Garc\u00eda, WC Carter, \u00a0SA Langer &#8220;The effect of texture and microstructure&hellip;<\/p>\n<div class=\"link-more\"><a href=\"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\/\">Continue reading<span class=\"screen-reader-text\"> &#8220;RE Garc\u00eda, WC Carter, \u00a0SA Langer &#8220;The effect of texture and microstructure on the macroscopic properties of polycrystalline piezoelectrics: application to barium titanate and PZN\u2013PT&#8221;\u00a0Journal of the American Ceramic Society, 88(3):750-757, 2005.&#8221;<\/span>&hellip;<\/a><\/div>\n<div class=\"link-more\"><a href=\"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\/\">Continue reading<span class=\"screen-reader-text\"> \"RE Garc\u00eda, WC Carter, \u00a0SA Langer &#8220;The effect of texture and microstructure on the macroscopic properties of polycrystalline piezoelectrics: application to barium titanate and PZN\u2013PT&#8221;\u00a0Journal of the American Ceramic Society, 88(3):750-757, 2005.\"<\/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":[45,1],"tags":[11,10,14,53,15],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/peeeSR-5s","jetpack_likes_enabled":true,"jetpack-related-posts":[{"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":338,"position":0},"title":"RE Garc\u00eda, ACE Reid, SA Langer, WC Carter&#8221;Microstructural modeling of multifunctional material properties: the OOF project&#8221;\u00a0Continuum Scale Simulation of Engineering Materials: Fundamentals-Microstructures-Process Applications,\u00a0573-587.\u00a0Wiley\u2010VCH Verlag GmbH &#038; 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 &quot;Papers&quot;","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":338,"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 &#8220;Microstructure design of lead-free piezoelectric ceramics.&#8221;\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 &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":340,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/finite-element-implementation-of-a-thermodynamic-description-of-piezoelectric-microstructures\/","url_meta":{"origin":338,"position":2},"title":"RE Garc\u00eda, SA Langer, WC Carter &#8220;Finite element implementation of a thermodynamic description of piezoelectric microstructures&#8221;\u00a0Journal of the American Ceramic Society. 88(3):742-749, 2005.","date":"10\/31\/2017","format":false,"excerpt":"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. Abstract 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\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":477,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/11\/04\/y-wang-dr-ely-re-garcia-progress-towards-modeling-microstructure-evolution-in-polycrystalline-films-for-solar-cell-applications-ieee-39th-photovoltaic-specialists-conference-pvsc-2\/","url_meta":{"origin":338,"position":3},"title":"Y Wang, DR Ely, RE Garc\u00eda &#8220;Progress towards modeling microstructure evolution in polycrystalline films for solar cell applications.&#8221;\u00a0IEEE 39th\u00a0Photovoltaic Specialists Conference (PVSC). 2056-2059, 2013.","date":"11\/04\/2017","format":false,"excerpt":"Y Wang, DR Ely, RE Garc\u00eda \"Progress towards modeling microstructure evolution in polycrystalline films for solar cell applications.\"\u00a0IEEE 39th\u00a0Photovoltaic Specialists Conference (PVSC). 2056-2059, 2013. Abstract Grain morphology has been long considered to be a major factor in the performance and efficiency of photovoltaic devices. Experimental work has demonstrated the effect\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":361,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/domain-switching-mechanisms-in-polycrystalline-ferroelectrics-with-asymmetric-hysteretic-behavior\/","url_meta":{"origin":338,"position":4},"title":"EM Anton, RE Garc\u00eda, TS Key, JE Blendell, KJ Bowman &#8220;Domain switching mechanisms in polycrystalline ferroelectrics with asymmetric hysteric behavior.&#8221;\u00a0Journal of Applied Physics. 105(2):024107-024107-8, 2009.","date":"10\/31\/2017","format":false,"excerpt":"EM Anton, RE Garc\u00eda, TS Key, JE Blendell, KJ Bowman \"Domain switching mechanisms in polycrystalline ferroelectrics with asymmetric hysteric behavior.\"\u00a0Journal of Applied Physics. 105(2):024107-024107-8, 2009. Abstract numerical method is presented to predict the effect of microstructure on the local polarization switching of bulk ferroelectric ceramics. The model shows that a\u2026","rel":"","context":"In &quot;Papers&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":346,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/virtual-piezoforce-microscopy-of-polycrystalline-ferroelectric-films\/","url_meta":{"origin":338,"position":5},"title":"RE Garc\u00eda, BD Huey, JE Blendell &#8220;Virtual piezoforce microscopy of polycrystalline ferroelectric films.&#8221;\u00a0Journal of applied physics, 100:064105, 2006.","date":"10\/31\/2017","format":false,"excerpt":"RE Garc\u00eda, BD Huey, JE Blendell \"Virtual piezoforce microscopy of polycrystalline ferroelectric films.\"\u00a0Journal of applied physics, 100:064105, 2006. Abstract An innovative methodology is presented that utilizes the experimental results of electron backscattered diffraction to map the crystallographic orientation of each grain, the finite element method to simulate the local grain-grain\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\/338"}],"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=338"}],"version-history":[{"count":2,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/338\/revisions"}],"predecessor-version":[{"id":576,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/338\/revisions\/576"}],"wp:attachment":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/media?parent=338"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/categories?post=338"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/tags?post=338"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}