{"id":12324,"date":"2020-07-30T10:18:04","date_gmt":"2020-07-30T08:18:04","guid":{"rendered":"http:\/\/navier-lab.fr\/?page_id=12324"},"modified":"2020-07-30T10:18:04","modified_gmt":"2020-07-30T08:18:04","slug":"methodes-numeriques-innovantes-pour-le-calcul-des-structures","status":"publish","type":"page","link":"https:\/\/navier-lab.fr\/en\/research\/materiaux-et-structures-architectures-msa\/modelisation-et-changements-dechelle\/methodes-numeriques-innovantes-pour-le-calcul-des-structures\/","title":{"rendered":"M\u00e9thodes num\u00e9riques innovantes pour le calcul des structures"},"content":{"rendered":"<p><section class=\"kc-elm kc-css-739904 kc_row\"><div class=\"kc-row-container  kc-container\"><div class=\"kc-wrap-columns\"><div class=\"kc-elm kc-css-873196 kc_col-sm-12 kc_column kc_col-sm-12\"><div class=\"kc-col-container\">\n<div class=\"kc-elm kc-css-910846 kc-title-wrap \">\n\n\t<h2 class=\"kc_title\">Dimensionnement des ouvrages par le calcul \u00e0 la rupture<\/h2>\n<\/div>\n<div class=\"kc-elm kc-css-558472 kc_text_block\"><\/p>\n<p style=\"width: 90%; margin: 0 0 10px 0; text-align: justify;\">La <b>th\u00e9orie du calcul \u00e0 la rupture<\/b> (ou analyse limite) permet d\u2019estimer de mani\u00e8re tr\u00e8s rapide et efficace la charge de ruine d\u2019une structure compte-tenu des conditions d\u2019\u00e9quilibre sous un chargement donn\u00e9 et des propri\u00e9t\u00e9s de r\u00e9sistance du mat\u00e9riau constitutif. La mise en \u0153uvre num\u00e9rique des deux approches (statique et cin\u00e9matique) permet d\u2019encadrer cette charge de ruine sans recourir \u00e0 un calcul non-lin\u00e9aire pas-\u00e0-pas souvent tr\u00e8s co\u00fbteux voire peu robuste. L\u2019efficacit\u00e9 de la mise en \u0153uvre num\u00e9rique repose principalement sur l\u2019utilisation de solveurs d\u2019optimisation conique tr\u00e8s bien adapt\u00e9s \u00e0 ce type de probl\u00e8me.<\/p>\n<p style=\"width: 90%; margin: 0 0 10px 0; text-align: justify;\">Cette nouvelle approche du dimensionnement des ouvrages permet notamment d\u2019<b>estimer pr\u00e9cis\u00e9ment la marge de s\u00e9curit\u00e9<\/b> de ces derniers et des <b>m\u00e9canismes de ruines associ\u00e9s<\/b> dans des situations souvent complexes, par exemple :<\/p>\n<ul>\n<li>structures poutres\/poteaux \u00e0 sections composites<\/li>\n<li>plaques et coques homog\u00e8nes ou h\u00e9t\u00e9rog\u00e8nes<\/li>\n<li>mat\u00e9riaux renforc\u00e9s par inclusions (b\u00e9ton arm\u00e9, sols renforc\u00e9s, etc.)<\/li>\n<li>panneaux en b\u00e9ton arm\u00e9 de grande hauteur en conditions d\u2019incendie (collaboration CSTB, th\u00e8se de Mingguan YANG)<\/li>\n<li>assemblages 3D pour la construction m\u00e9tallique<\/li>\n<li>structures massives en b\u00e9ton arm\u00e9 (voussoirs, piles de ponts, fondations, etc.)<\/li>\n<li>ouvrages en ma\u00e7onnerie<\/li>\n<\/ul>\n<p>\n<\/div><\/div><\/div><\/div><\/div><\/section><section class=\"kc-elm kc-css-657895 kc_row\"><div class=\"kc-row-container  kc-container\"><div class=\"kc-wrap-columns\"><div class=\"kc-elm kc-css-985233 kc_col-sm-8 kc_column kc_col-sm-8\"><div class=\"kc-col-container\"><div class=\"kc-elm kc-css-11652 kc_shortcode kc_single_image\">\n\n        <img decoding=\"async\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2020\/07\/retaining_wall_collapse.gif\" class=\"\" alt=\"\" \/>    <\/div>\n<div class=\"kc-elm kc-css-284248 kc_text_block\"><\/p>\n<p>M\u00e9canisme de ruine d&#8217;un mur de sout\u00e8nement et du sol envrionnant<\/p>\n<p>\n<\/div><\/div><\/div><div class=\"kc-elm kc-css-70558 kc_col-sm-4 kc_column kc_col-sm-4\"><div class=\"kc-col-container\"><div class=\"kc-elm kc-css-601026 kc_shortcode kc_single_image\">\n\n        <img decoding=\"async\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2020\/07\/ruine_fondation-300x141-1.png\" class=\"\" alt=\"\" \/>    <\/div>\n<div class=\"kc-elm kc-css-230916 kc_text_block\"><\/p>\n<p>Mode de ruine d&#8217;une fondation en b\u00e9ton arm\u00e9<\/p>\n<p>\n<\/div><div class=\"kc-elm kc-css-790995 kc_shortcode kc_single_image\">\n\n        <img decoding=\"async\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2018\/06\/assemblage.-300x224-1.png\" class=\"\" alt=\"\" \/>    <\/div>\n<div class=\"kc-elm kc-css-658669 kc_text_block\"><\/p>\n<p>Mode de ruine d&#8217;un assemblage m\u00e9tallique complexe<\/p>\n<p>\n<\/div><\/div><\/div><\/div><\/div><\/section><section class=\"kc-elm kc-css-356930 kc_row\"><div class=\"kc-row-container  kc-container\"><div class=\"kc-wrap-columns\"><div class=\"kc-elm kc-css-739393 kc_col-sm-6 kc_column kc_col-sm-6\"><div class=\"kc-col-container\"><div class=\"kc-elm kc-css-192797 kc_shortcode kc_single_image\">\n\n        <img decoding=\"async\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2020\/07\/abbaye-300x255-1.png\" class=\"\" alt=\"\" \/>    <\/div>\n<div class=\"kc-elm kc-css-816688 kc_text_block\"><\/p>\n<p>Calcul \u00e0 la rupture sur un mod\u00e8le d&#8217;abbaye<\/p>\n<p>\n<\/div><\/div><\/div><div class=\"kc-elm kc-css-415991 kc_col-sm-6 kc_column kc_col-sm-6\"><div class=\"kc-col-container\"><div class=\"kc-elm kc-css-534313 kc_shortcode kc_single_image\">\n\n        <img decoding=\"async\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2020\/07\/mur_12_12_10-300x296-1.png\" class=\"\" alt=\"\" \/>    <\/div>\n<div class=\"kc-elm kc-css-816425 kc_text_block\"><\/p>\n<p>Mode de ruine d&#8217;un panneau en b\u00e9ton arm\u00e9 de grande hauteur en conditions d&#8217;incendie<\/p>\n<p>\n<\/div><\/div><\/div><\/div><\/div><\/section><section class=\"kc-elm kc-css-835200 kc_row\"><div class=\"kc-row-container  kc-container\"><div class=\"kc-wrap-columns\"><div class=\"kc-elm kc-css-779043 kc_col-sm-12 kc_column kc_col-sm-12\"><div class=\"kc-col-container\">\n<div class=\"kc-elm kc-css-642037 kc-title-wrap \">\n\n\t<h2 class=\"kc_title\">Collaboration industrielle<\/h2>\n<\/div>\n<div class=\"kc-elm kc-css-439703 kc_text_block\"><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full alignright\" style=\"margin-top: 0px;\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2018\/06\/Logo-Strains-3-e1549375540981.png\" alt=\"\" width=\"151\" height=\"65\" \/>Cette th\u00e9matique de recherche a conduit \u00e0 une <b>collaboration importante avec la soci\u00e9t\u00e9 <a href=\"https:\/\/strains.fr\/\">STRAINS<\/a><\/b>, d\u00e9veloppeur de logiciels de calculs modernes pour le g\u00e9nie civil. En particulier, le logiciel DS-STEEL r\u00e9alise le calcul de la capacit\u00e9 ultime d\u2019assemblage m\u00e9talliques.<\/p>\n<p>Une deuxi\u00e8me th\u00e9matique en lien avec la soci\u00e9t\u00e9 STRAINS est relative au d\u00e9veloppement de <b>mod\u00e8les m\u00e9caniques enrichis<\/b> pour le calcul des ponts. La cin\u00e9matique g\u00e9n\u00e9ralis\u00e9e comprenant gauchissements de section, modes de d\u00e9formations li\u00e9s \u00e0 des charges concentr\u00e9es est bas\u00e9e sur la <b>m\u00e9thode des d\u00e9veloppements asymptotiques<\/b>. La m\u00e9thode a \u00e9galement \u00e9t\u00e9 \u00e9tendue au cas \u00e9lastoplastique. Les gains en temps de calculs par rapport \u00e0 un calcul 3D sont de l\u2019ordre d\u2019un facteur 100.<\/p>\n<p>\n<\/div><\/div><\/div><\/div><\/div><\/section><section class=\"kc-elm kc-css-279056 kc_row\"><div class=\"kc-row-container  kc-container\"><div class=\"kc-wrap-columns\"><div class=\"kc-elm kc-css-959324 kc_col-sm-6 kc_column kc_col-sm-6\"><div class=\"kc-col-container\"><div class=\"kc-elm kc-css-421283 kc_shortcode kc_single_image\">\n\n        <img decoding=\"async\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2020\/07\/PoutreKhalil3-300x156-1.png\" class=\"\" alt=\"\" \/>    <\/div>\n<div class=\"kc-elm kc-css-401262 kc_text_block\"><\/p>\n<p>Reconstruction de la d\u00e9form\u00e9e d&#8217;un bipoutre 3D sous charge concentr\u00e9e<\/p>\n<p>\n<\/div><\/div><\/div><div class=\"kc-elm kc-css-933310 kc_col-sm-6 kc_column kc_col-sm-6\"><div class=\"kc-col-container\"><div class=\"kc-elm kc-css-625207 kc_shortcode kc_single_image\">\n\n        <img decoding=\"async\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2020\/07\/ModesKhalil-300x231-1.jpg\" class=\"\" alt=\"\" \/>    <\/div>\n<div class=\"kc-elm kc-css-948417 kc_text_block\"><\/p>\n<p>Modes de d\u00e9formation d&#8217;une section sous chargement<\/p>\n<p>\n<\/div><\/div><\/div><\/div><\/div><\/section><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"parent":12320,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-12324","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/pages\/12324","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/comments?post=12324"}],"version-history":[{"count":1,"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/pages\/12324\/revisions"}],"predecessor-version":[{"id":12325,"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/pages\/12324\/revisions\/12325"}],"up":[{"embeddable":true,"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/pages\/12320"}],"wp:attachment":[{"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/media?parent=12324"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}