{"id":4090,"date":"2023-07-19T03:58:04","date_gmt":"2023-07-19T08:58:04","guid":{"rendered":"https:\/\/cqfa.quebec\/?p=4090"},"modified":"2023-07-19T04:02:40","modified_gmt":"2023-07-19T09:02:40","slug":"a-149-line-homogenization-code-for-3d-cellular-materials-written-in-matlab","status":"publish","type":"post","link":"https:\/\/cqfa.quebec\/en\/a-149-line-homogenization-code-for-3d-cellular-materials-written-in-matlab\/","title":{"rendered":"A 149 Line Homogenization Code for 3D Cellular Materials Written in Matlab"},"content":{"rendered":"<p><em>Dong, G.; Tang, Y.; Zhao, Y.F. (2023). A 149 Line Homogenization Code for 3D Cellular Materials Written in Matlab.<\/em><\/p>\n<p>&nbsp;<\/p>\n<p>Cellular architectures are promising in a variety of engineering applications due to attractive material properties. Additive Manufacturing (AM) has reduced the difficulty in the fabrication of three dimensional (3D) cellular materials. In this paper, the numerical homogenization method for 3D cellular materials is provided based on a short, selfcontained Matlab code. It is an educational description that shows how the homogenized constitutive matrix is computed by a voxel model with one material to be void and another material to be solid. A voxel generation algorithm is proposed to generate the voxel model easily by the wireframe scripts of unit cell topologies. The format of the wireframe script is defined so that the topology can be customized. The homogenization code is then extended to multi-material cellular structures and thermal conductivity problems. The result of the numerical homogenization shows that different topologies exhibit anisotropic elastic properties to a different extent. It is also found that the anisotropy of cellular materials can be controlled by adjusting the combination of materials.<\/p>\n<p>&nbsp;<\/p>\n<p class=\"link-btn-style btn-yellow\"><a href=\"https:\/\/hal.science\/hal-04096537v1\/file\/A%20149%20Line%20Homogenization%20Code%20for%203D%20Cellular%20Materials%20Written%20in%20Matlab.pdf\" target=\"_blank\" rel=\"noopener\">Read the publication<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dong, G.; Tang, Y.; Zhao, Y.F. (2023). A 149 Line Homogenization Code for 3D Cellular Materials Written in Matlab. &nbsp; Cellular architectures are promising in a variety of engineering applications [&hellip;]<\/p>\n","protected":false},"author":80,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[43],"tags":[],"class_list":["post-4090","post","type-post","status-publish","format-standard","hentry","category-publications-academiques-quebecoises"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A 149 Line Homogenization Code for 3D Cellular Materials Written in Matlab - CQFA - Carrefour qu\u00e9b\u00e9cois de la fabrication additive<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cqfa.quebec\/en\/a-149-line-homogenization-code-for-3d-cellular-materials-written-in-matlab\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A 149 Line Homogenization Code for 3D Cellular Materials Written in Matlab - CQFA - Carrefour qu\u00e9b\u00e9cois de la fabrication additive\" \/>\n<meta property=\"og:description\" content=\"Dong, G.; Tang, Y.; Zhao, Y.F. 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A 149 Line Homogenization Code for 3D Cellular Materials Written in Matlab. &nbsp; Cellular architectures are promising in a variety of engineering applications [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/cqfa.quebec\/en\/a-149-line-homogenization-code-for-3d-cellular-materials-written-in-matlab\/\" \/>\n<meta property=\"og:site_name\" content=\"CQFA - Carrefour qu\u00e9b\u00e9cois de la fabrication additive\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-19T08:58:04+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-07-19T09:02:40+00:00\" \/>\n<meta name=\"author\" content=\"f.charreteur\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"f.charreteur\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/cqfa.quebec\/en\/a-149-line-homogenization-code-for-3d-cellular-materials-written-in-matlab\/\",\"url\":\"https:\/\/cqfa.quebec\/en\/a-149-line-homogenization-code-for-3d-cellular-materials-written-in-matlab\/\",\"name\":\"A 149 Line Homogenization Code for 3D Cellular Materials Written in Matlab - CQFA - Carrefour qu\u00e9b\u00e9cois de la fabrication additive\",\"isPartOf\":{\"@id\":\"https:\/\/cqfa.quebec\/en\/#website\"},\"datePublished\":\"2023-07-19T08:58:04+00:00\",\"dateModified\":\"2023-07-19T09:02:40+00:00\",\"author\":{\"@id\":\"https:\/\/cqfa.quebec\/en\/#\/schema\/person\/1471d3e52124b5db8e382db2fe9fd129\"},\"breadcrumb\":{\"@id\":\"https:\/\/cqfa.quebec\/en\/a-149-line-homogenization-code-for-3d-cellular-materials-written-in-matlab\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/cqfa.quebec\/en\/a-149-line-homogenization-code-for-3d-cellular-materials-written-in-matlab\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/cqfa.quebec\/en\/a-149-line-homogenization-code-for-3d-cellular-materials-written-in-matlab\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/cqfa.quebec\/en\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"A 149 Line Homogenization Code for 3D Cellular Materials Written in Matlab\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/cqfa.quebec\/en\/#website\",\"url\":\"https:\/\/cqfa.quebec\/en\/\",\"name\":\"CQFA - Carrefour qu\u00e9b\u00e9cois de la fabrication additive\",\"description\":\"site du CQFA - Carrefour qu\u00e9b\u00e9cois de la fabrication additive\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/cqfa.quebec\/en\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/cqfa.quebec\/en\/#\/schema\/person\/1471d3e52124b5db8e382db2fe9fd129\",\"name\":\"f.charreteur\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/cqfa.quebec\/en\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/9363954600b2451cee337a467f183d3578e177b3c8101e36f7dfcb5adaa93ea5?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/9363954600b2451cee337a467f183d3578e177b3c8101e36f7dfcb5adaa93ea5?s=96&d=mm&r=g\",\"caption\":\"f.charreteur\"},\"url\":\"https:\/\/cqfa.quebec\/en\/author\/f-charreteur\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"A 149 Line Homogenization Code for 3D Cellular Materials Written in Matlab - CQFA - Carrefour qu\u00e9b\u00e9cois de la fabrication additive","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/cqfa.quebec\/en\/a-149-line-homogenization-code-for-3d-cellular-materials-written-in-matlab\/","og_locale":"en_US","og_type":"article","og_title":"A 149 Line Homogenization Code for 3D Cellular Materials Written in Matlab - CQFA - Carrefour qu\u00e9b\u00e9cois de la fabrication additive","og_description":"Dong, G.; Tang, Y.; Zhao, Y.F. 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