{"id":2285,"date":"2019-05-20T15:27:37","date_gmt":"2019-05-20T15:27:37","guid":{"rendered":"http:\/\/www1.caminos.upm.es\/estructuras2\/?page_id=2285"},"modified":"2022-11-03T19:04:47","modified_gmt":"2022-11-03T19:04:47","slug":"elementos-finitos","status":"publish","type":"page","link":"https:\/\/www1.caminos.upm.es\/estructuras2\/es\/asignaturas-optativas-de-master\/master-ecm\/elementos-finitos\/","title":{"rendered":"Elementos finitos"},"content":{"rendered":"<p><a href=\"http:\/\/www1.caminos.upm.es\/estructuras2\/es\/asignaturas-optativas-de-master\/master-ecm\/\">&lt;- Volver<\/a><div class=\"fusion-fullwidth fullwidth-box hundred-percent-fullwidth non-hundred-percent-height-scrolling\"  style='background-color: rgba(255,255,255,0);background-position: center center;background-repeat: no-repeat;padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;'><div class=\"fusion-builder-row fusion-row \"><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_1 fusion-builder-column-1 fusion-one-full fusion-column-first fusion-column-last fusion-column-no-min-height 1_1\"  style='margin-top:0px;margin-bottom:0px;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-title title fusion-title-1 fusion-title-size-one\" style=\"margin-top:0px;margin-bottom:0px;\"><h1 class=\"title-heading-left\" style=\"margin:0;\">Elementos finitos<\/p><\/h1><div class=\"title-sep-container\"><div class=\"title-sep sep-single sep-solid\" style=\"border-color:#e0dede;\"><\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_2 fusion-builder-column-2 fusion-one-half fusion-column-first 1_2\"  style='margin-top:0px;margin-bottom:20px;width:48%; margin-right: 4%;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<span class=\"fusion-imageframe imageframe-none imageframe-1 hover-type-none\"><img loading=\"lazy\" src=\"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-content\/uploads\/2019\/05\/spher.jpg\" width=\"\" height=\"\" alt=\"\" title=\"Elementos finitos\" class=\"img-responsive\"\/><\/span><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_2 fusion-builder-column-3 fusion-one-half fusion-column-last 1_2\"  style='margin-top:0px;margin-bottom:20px;width:48%'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-text\"><p>La asignatura se plantea como un curso de iniciaci\u00f3n al m\u00e9todo de los elementos finitos en el que se abordan problemas lineales, siendo su contenido de car\u00e1cter te\u00f3rico-pr\u00e1ctico. Las pr\u00e1cticas se realizan con el programa de elementos finitos FEAP. A lo largo del curso se abordan modelos computacionales unidimensionales, bidimensionales, axilsim\u00e9tricos y tridimensionales; convergencia y estabilidad de los m\u00e9todos computacionales basados en elementos finitos; generaci\u00f3n de mallas; postproceso\u00a0 de\u00a0 resultados y m\u00e9todos\u00a0 de modelizaci\u00f3n\u00a0 computacional de\u00a0 procesos mec\u00e1nicos y f\u00edsicos<\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_2 fusion-builder-column-4 fusion-one-half fusion-column-first 1_2\"  style='margin-top:0px;margin-bottom:20px;width:48%; margin-right: 4%;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-title title fusion-title-2 fusion-title-size-one\" style=\"margin-top:0px;margin-bottom:0px;\"><h1 class=\"title-heading-left\" style=\"margin:0;\">M\u00e1s informaci\u00f3n<\/h1><div class=\"title-sep-container\"><div class=\"title-sep sep-single sep-solid\" style=\"border-color:#e0dede;\"><\/div><\/div><\/div><div class=\"fusion-text\"><h3><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2022-23\/1S\/GA_04AM_43000431_1S_2022-23.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Gu\u00eda de aprendizaje completa<\/a><\/h3>\n<\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_2 fusion-builder-column-5 fusion-one-half fusion-column-last 1_2\"  style='margin-top:0px;margin-bottom:20px;width:48%'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-title title fusion-title-3 fusion-title-size-one\" style=\"margin-top:0px;margin-bottom:0px;\"><h1 class=\"title-heading-left\" style=\"margin:0;\">Temario resumido<\/h1><div class=\"title-sep-container\"><div class=\"title-sep sep-single sep-solid\" style=\"border-color:#e0dede;\"><\/div><\/div><\/div><div class=\"fusion-text\"><ol>\n<li>Modelos 1D. Estructuras de barras articuladas<\/li>\n<li>Modelos de difusion.<\/li>\n<li>Elasticidad lineal.<\/li>\n<li>Elementos isoparam\u00e9tricos.<\/li>\n<li>Tecnolog\u00eda de elementos.<\/li>\n<li>Generaci\u00f3n de mallas, pre y post-proceso.<\/li>\n<li>Elementos estructurales: vigas.<\/li>\n<li>C\u00e1lculo din\u00e1mico.<\/li>\n<\/ol>\n<\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_1 fusion-builder-column-6 fusion-one-full fusion-column-first fusion-column-last fusion-column-no-min-height 1_1\"  style='margin-top:0px;margin-bottom:0px;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep sep-none\" style=\"margin-left: auto;margin-right: auto;margin-top:;\"><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_1 fusion-builder-column-7 fusion-one-full fusion-column-first fusion-column-last fusion-column-no-min-height 1_1\"  style='margin-top:0px;margin-bottom:0px;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-title title fusion-title-4 fusion-title-size-one\" style=\"margin-top:0px;margin-bottom:0px;\"><h1 class=\"title-heading-left\" style=\"margin:0;\">Profesorado<\/h1><div class=\"title-sep-container\"><div class=\"title-sep sep-single sep-solid\" style=\"border-color:#e0dede;\"><\/div><\/div><\/div>\n<div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n<div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_4 fusion-builder-column-8 fusion-one-fourth fusion-column-first 1_4\"  style='margin-top:0px;margin-bottom:20px;width:22%; margin-right: 4%;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-person person fusion-person-left fusion-person-1 fusion-person-icon-top\"><div class=\"person-shortcode-image-wrapper\"><div class=\"person-image-container hover-type-none person-rounded-overflow\" style=\"-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;border:0px solid #f6f6f6;-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;\"><img class=\"person-img img-responsive\" src=\"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-content\/uploads\/2019\/05\/FotoFG-bn-e1558365456226.jpg\" alt=\"Felipe Gabald\u00f3n\" \/><\/div><\/div><div class=\"person-desc\"><div class=\"person-author\"><div class=\"person-author-wrapper\"><span class=\"person-name\">Felipe Gabald\u00f3n<\/span><span class=\"person-title\"><\/span><\/div><\/div><div class=\"person-content fusion-clearfix\">Ingeniero de Caminos, Canales y Puertos (Dr. Ing. Caminos UPM, 1999). Profesor Titular. L\u00edneas de investigaci\u00f3n: m\u00e9todos no lineales de elementos finitos, biomec\u00e1nica del flujo sangu\u00edneo y su interacci\u00f3n con la pared arterial, din\u00e1mica no lineal.<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n<div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_4 fusion-builder-column-9 fusion-one-fourth 1_4\"  style='margin-top:0px;margin-bottom:20px;width:22%; margin-right: 4%;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-person person fusion-person-left fusion-person-2 fusion-person-icon-top\"><div class=\"person-shortcode-image-wrapper\"><div class=\"person-image-container hover-type-none person-rounded-overflow\" style=\"-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;border:0px solid #f6f6f6;-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;\"><img class=\"person-img img-responsive\" src=\"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-content\/uploads\/2022\/09\/jose-maria-goicolea-e1664529542582.jpg\" alt=\"Jos\u00e9 M. Goicolea\" \/><\/div><\/div><div class=\"person-desc\"><div class=\"person-author\"><div class=\"person-author-wrapper\"><span class=\"person-name\">Jos\u00e9 M. Goicolea<\/span><span class=\"person-title\"><\/span><\/div><\/div><div class=\"person-content fusion-clearfix\">Ingeniero de Caminos, Canales y Puertos (PhD University of London, 1985), Catedr\u00e1tico. L\u00edneas de investigaci\u00f3n: din\u00e1mica estructural lineal y no lineal, aplicaciones de la din\u00e1mica a puentes de ferrocarril, impactos y explosiones, biomec\u00e1nica de tejidos blandos.<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n<div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_4 fusion-builder-column-10 fusion-one-fourth 1_4\"  style='margin-top:0px;margin-bottom:20px;width:22%; margin-right: 4%;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-person person fusion-person-left fusion-person-3 fusion-person-icon-top\"><div class=\"person-shortcode-image-wrapper\"><div class=\"person-image-container hover-type-none person-rounded-overflow\" style=\"-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;border:0px solid #f6f6f6;-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;\"><img class=\"person-img img-responsive\" src=\"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-content\/uploads\/2022\/09\/Imagen1-e1664529554402.png\" alt=\"Sergio Blanco\" \/><\/div><\/div><div class=\"person-desc\"><div class=\"person-author\"><div class=\"person-author-wrapper\"><span class=\"person-name\">Sergio Blanco<\/span><span class=\"person-title\"><\/span><\/div><\/div><div class=\"person-content fusion-clearfix\">Ingeniero de Caminos, Canales y Puertos (Dr. Ing. Caminos UPC, 2006). Profesor Contratado Doctor. L\u00edneas de investigaci\u00f3n: elementos finitos con discontinuidades fuertes, biomec\u00e1nica de tejidos blandos.<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n<div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_4 fusion-builder-column-11 fusion-one-fourth fusion-column-last 1_4\"  style='margin-top:0px;margin-bottom:20px;width:22%'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-person person fusion-person-left fusion-person-4 fusion-person-icon-top\"><div class=\"person-shortcode-image-wrapper\"><div class=\"person-image-container hover-type-none person-rounded-overflow\" style=\"-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;border:0px solid #f6f6f6;-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;\"><img class=\"person-img img-responsive\" src=\"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-content\/uploads\/2022\/09\/Angel-Yaguee-e1664461315207.jpg\" alt=\"\u00c1ngel Yag\u00fce\" \/><\/div><\/div><div class=\"person-desc\"><div class=\"person-author\"><div class=\"person-author-wrapper\"><span class=\"person-name\">\u00c1ngel Yag\u00fce<\/span><span class=\"person-title\"><\/span><\/div><\/div><div class=\"person-content fusion-clearfix\">Ingeniero de Caminos, Canales y Puertos (Dr. Ing. Caminos UPM, 2018). Profesor Ayudante Doctor. L\u00edneas de investigaci\u00f3n: elementos finitos con discontinuidades fuertes, geotecnia.<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n<div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_4 fusion-builder-column-12 fusion-one-fourth fusion-column-first 1_4\"  style='margin-top:0px;margin-bottom:20px;width:22%; margin-right: 4%;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-person person fusion-person-left fusion-person-5 fusion-person-icon-top\"><div class=\"person-shortcode-image-wrapper\"><div class=\"person-image-container hover-type-none person-rounded-overflow\" style=\"-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;border:0px solid #f6f6f6;-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;\"><img class=\"person-img img-responsive\" src=\"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-content\/uploads\/2022\/11\/nicola-tarque-e1667502259595.jpg\" alt=\"Nicola Tarque Ru\u00edz\" \/><\/div><\/div><div class=\"person-desc\"><div class=\"person-author\"><div class=\"person-author-wrapper\"><span class=\"person-name\">Nicola Tarque Ru\u00edz<\/span><span class=\"person-title\"><\/span><\/div><\/div><div class=\"person-content fusion-clearfix\">Ingeniero Civil (PhD Universidad de Pav\u00eda, Italia, 2011). Profesor Invitado. L\u00edneas de Investigaci\u00f3n: modelaci\u00f3n num\u00e9rica de las construcciones hist\u00f3ricas y modernas, an\u00e1lisis de la vulnerabilidad s\u00edsmica y reforzamiento de las construcciones de f\u00e1brica, ensayos est\u00e1ticos y din\u00e1micos de laboratorio.<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n<\/div><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&lt;- Volver<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":2025,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/pages\/2285"}],"collection":[{"href":"https:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/comments?post=2285"}],"version-history":[{"count":16,"href":"https:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/pages\/2285\/revisions"}],"predecessor-version":[{"id":3462,"href":"https:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/pages\/2285\/revisions\/3462"}],"up":[{"embeddable":true,"href":"https:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/pages\/2025"}],"wp:attachment":[{"href":"https:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/media?parent=2285"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}