{"id":356,"date":"2017-10-31T19:11:15","date_gmt":"2017-10-31T19:11:15","guid":{"rendered":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/?p=356"},"modified":"2017-11-08T00:26:54","modified_gmt":"2017-11-08T00:26:54","slug":"image-based-finite-element-mesh-construction-for-material-microstructures","status":"publish","type":"post","link":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/image-based-finite-element-mesh-construction-for-material-microstructures\/","title":{"rendered":"ACE Reid, SA Langer, RC Lua, VR Coffman, S-I Haan, RE Garc\u00eda &#8220;Image-based finite element mesh construction for material microstructures.&#8221;\u00a0Computational Materials Science. 43(4):989-999, 2008."},"content":{"rendered":"<p>ACE Reid, SA Langer, RC Lua, VR Coffman, S-I Haan, RE Garc\u00eda &#8220;<a class=\"gsc_vcd_title_link\" href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0927025608001171\" target=\"_blank\" rel=\"noopener\" data-clk=\"hl=en&amp;sa=T&amp;ei=f9z4WeatC56umgHQlYdg\">Image-based finite element mesh construction for material microstructures<\/a>.&#8221;\u00a0Computational Materials Science. 43(4):989-999, 2008.<\/p>\n<h3>Abstract<\/h3>\n<p>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 of a representative slice of the material. The quality of the results produced with such a model obviously depends on the quality of the constructed mesh. In this article, we describe a set of routines that modify and improve the quality of a 2D mesh. Most of the routines are guided by an effective element \u201cenergy\u201d functional, which takes into account the shape quality of the elements and the homogeneity of the elements as determined from an underlying segmented image. The interfaces and boundaries in the image arise naturally from the segmentation process. From these routines, we construct a close-to-automatic mesh generator that requires only a few inputs, such as the linear sizes of the largest and smallest features in the micrograph.<\/p>\n","protected":false},"excerpt":{"rendered":"<p class=\"post-excerpt\" class=\"post-excerpt\">ACE Reid, SA Langer, RC Lua, VR Coffman, S-I Haan, RE Garc\u00eda&hellip;<\/p>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/image-based-finite-element-mesh-construction-for-material-microstructures\/\">Continue reading<span class=\"screen-reader-text\"> &#8220;ACE Reid, SA Langer, RC Lua, VR Coffman, S-I Haan, RE Garc\u00eda &#8220;Image-based finite element mesh construction for material microstructures.&#8221;\u00a0Computational Materials Science. 43(4):989-999, 2008.&#8221;<\/span>&hellip;<\/a><\/div>\n<div class=\"link-more\"><a href=\"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/image-based-finite-element-mesh-construction-for-material-microstructures\/\">Continue reading<span class=\"screen-reader-text\"> \"ACE Reid, SA Langer, RC Lua, VR Coffman, S-I Haan, RE Garc\u00eda &#8220;Image-based finite element mesh construction for material microstructures.&#8221;\u00a0Computational Materials Science. 43(4):989-999, 2008.\"<\/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":[55,14],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/peeeSR-5K","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":359,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/modelling-microstructures-with-oof2\/","url_meta":{"origin":356,"position":0},"title":"ACE Reid, RC Lua, RE Garc\u00eda, VR Coffman &#8220;Modelling microstructures with oof2.&#8221;\u00a0International Journal of Materials and Product Technology. 35(3):361-373, 2009.","date":"10\/31\/2017","format":false,"excerpt":"ACE Reid, RC Lua, RE Garc\u00eda, VR Coffman \"Modelling microstructures with oof2.\"\u00a0International Journal of Materials and Product Technology. 35(3):361-373, 2009. Abstract OOF2 is a program designed to compute the properties and local behaviour of material microstructures, starting from a two-dimensional representation, an image, of arbitrary geometrical complexity. OOF2 uses the\u2026","rel":"","context":"In &quot;Papers&quot;","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":356,"position":1},"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":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":356,"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":354,"url":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/2017\/10\/31\/response-surface-measurement-for-bifeo3-cofe2o4-multiferroic-nanocomposite\/","url_meta":{"origin":356,"position":3},"title":"BE Piccione, JE Blendell, RE Garc\u00eda &#8220;Response surface measurement for BiFeO3-CoFe2O4 multiferroic nano composite.&#8221;\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 &quot;Papers&quot;","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":356,"position":4},"title":"RE Garc\u00eda, Y-M Chiang, W C. Carter, P Limthongkul, CM Bishop &#8220;Microstructural modeling and design of rechargeable lithium-ion batteries&#8221;\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 &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":356,"position":5},"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":[]}],"_links":{"self":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/356"}],"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=356"}],"version-history":[{"count":2,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/356\/revisions"}],"predecessor-version":[{"id":567,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/posts\/356\/revisions\/567"}],"wp:attachment":[{"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/media?parent=356"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/categories?post=356"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/engineering.purdue.edu\/ComputationalMaterials\/index.php\/wp-json\/wp\/v2\/tags?post=356"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}