{"id":2591,"date":"2021-06-23T15:05:20","date_gmt":"2021-06-23T13:05:20","guid":{"rendered":"https:\/\/www.protostep-forward.com\/?page_id=2591"},"modified":"2021-08-31T18:51:02","modified_gmt":"2021-08-31T16:51:02","slug":"expertise-multiphysique","status":"publish","type":"page","link":"https:\/\/www.protostep-forward.com\/index.php\/expertise-multiphysique\/","title":{"rendered":"Expertise multiphysique &#8211; FR"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"2591\" class=\"elementor elementor-2591\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-762367f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"762367f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ec0c21f\" data-id=\"ec0c21f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-762739c elementor-widget elementor-widget-text-editor\" data-id=\"762739c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p style=\"text-align: justify;\"><span style=\"font-family: Advent;\"> <span style=\"font-size: 18pt;\">Proto<span style=\"font-family: Agency FB;\">STEP <\/span><\/span><\/span> propose une gamme d&rsquo;\u00e9tudes et d&rsquo;expertises vari\u00e9e. Celles-ci sont h\u00e9rit\u00e9es de <a href=\"https:\/\/www.protostep-forward.com\/index.php\/qui-sommes-nous\/\">dix ann\u00e9es d&rsquo;exp\u00e9rience en Recherche acad\u00e9mique et R&amp;D industrielle<\/a>.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a2aa4a0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a2aa4a0\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-002f2a6\" data-id=\"002f2a6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-562e932 elementor-widget elementor-widget-image\" data-id=\"562e932\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.protostep-forward.com\/wp-content\/uploads\/elementor\/thumbs\/nuage_1280_FR_31082021-pcfexz7ko0zno9a63k46kfa1m7ivd6ttywan65l69s.png\" title=\"nuage_1280_FR_31082021\" alt=\"nuage_1280_FR_31082021\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6b78c48 elementor-widget elementor-widget-spacer\" data-id=\"6b78c48\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3250107 elementor-widget elementor-widget-text-editor\" data-id=\"3250107\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p style=\"text-align: justify;\">Les domaines de physique pr\u00e9sent\u00e9s ci-dessous peuvent se retrouver dans le cadre de diverses applications. Chaque expertise physique pourra \u00eatre \u00e9tudi\u00e9e seule ou en interaction multi-physiques selon les besoins exprim\u00e9s.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d116b1b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d116b1b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2905e82\" data-id=\"2905e82\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b9314e7 elementor-widget elementor-widget-accordion\" data-id=\"b9314e7\" data-element_type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1941\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1941\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-angle-down\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Expertise en \u00e9lectromagn\u00e9tisme<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1941\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1941\"><p style=\"text-align: justify;\">L\u2019\u00e9lectromagn\u00e9tisme est l\u2019\u00e9tude des interactions coulombiennes entre particules charg\u00e9es et de leur couplage avec les champs \u00e9lectriques et magn\u00e9tiques cr\u00e9\u00e9s. Les \u00e9quations de bases sont donn\u00e9es par les \u00e9quations de Maxwell.<\/p>\n<p style=\"text-align: justify;\">Au sein d\u2019un conducteur, elle permettra d\u2019\u00e9tablir la r\u00e9partition des courants \u00e9lectriques avec un calcul des potentiels \u00e9lectriques associ\u00e9s. Dans le vide, elle permettra d\u2019\u00e9tablir la propagation des faisceaux de particules charg\u00e9es (\u00e9lectrons\/ions) et de calculer les champs \u00e9lectriques associ\u00e9s.<\/p>\n<p style=\"text-align: justify;\">Le cas particulier des particules charg\u00e9es g\u00e9n\u00e9r\u00e9es au sein d\u2019un gaz basse pression fera appel \u00e0 la Physique des plasmas afin de consid\u00e9rer par exemple les effets de charge d&rsquo;espace, de gaine de Debye ou bien les m\u00e9canismes r\u00e9actionnels comme l&rsquo;ionisation ou la dissociation.<br><\/p>\n<ul>\n<li style=\"color: #000080;\"><span style=\"color: #000080;\">Cas d\u2019\u00e9tude : <em>Contact \u00e9lectrique, microscope \u00e9lectronique \u00e0 balayage (MEB), spectrom\u00e8tre de masse, capteur \u00e0 effet Hall, d\u00e9tection capacitive<\/em><\/span><\/li>\n<\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1942\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-1942\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-angle-down\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\"> Expertise en optique<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1942\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-1942\"><p style=\"text-align: justify;\">L\u2019optique d\u00e9coule de l\u2019\u00e9lectromagn\u00e9tisme et permet d\u2019\u00e9tudier la propagation des ondes \u00e9lectromagn\u00e9tiques dans le vide ou les mat\u00e9riaux, et de leurs diff\u00e9rentes interactions : interf\u00e9rence, absorption, r\u00e9flexion, r\u00e9sonance, diffraction. Les \u00e9quations de Maxwell permettent dans ce cas d\u2019\u00e9tablir les \u00e9quations d\u2019onde.<\/p>\n<ul>\n<li style=\"color: #000080;\"><span style=\"color: #000080;\">Cas d\u2019\u00e9tude : <em>Spectrom\u00e8tre \u00e0 diffraction, cavit\u00e9 r\u00e9sonante, guide d\u2019onde, banc optique, blindage \u00e9lectromagn\u00e9tique, rayonnement d\u2019antenne<\/em><\/span><\/li>\n<\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1943\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-1943\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-angle-down\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Expertise en thermique<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1943\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-1943\"><p style=\"text-align: justify;\">La thermique est une physique qui peut \u00eatre coupl\u00e9e \u00e0 l\u2019\u00e9lectromagn\u00e9tisme \u00e0 travers les ph\u00e9nom\u00e8nes de chauffage inductif, d\u2019absorption par rayonnement ou de perte par effet Joule. Elle est gouvern\u00e9e par l\u2019\u00e9quation de la chaleur qui est d\u00e9crite par un \u00e9quilibre entre les termes de production et de perte. Ceux-ci int\u00e8grent les ph\u00e9nom\u00e8nes de convection, de conduction et de rayonnement.<\/p>\n<ul>\n<li style=\"color: #000080;\"><span style=\"color: #000080;\">Cas d\u2019\u00e9tude : <em>Echauffement d\u2019un contact \u00e9lectrique, \u00e9tuvage d\u2019une enceinte \u00e0 vide, four \u00e0 induction, circuit de refroidissement, drain thermique, blindage thermique<\/em><\/span><\/li>\n<\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1944\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-1944\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-angle-down\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Expertise en m\u00e9canique des fluides<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1944\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-1944\"><p style=\"text-align: justify;\">La m\u00e9canique des fluides permet d\u2019\u00e9tudier diff\u00e9rents types d\u2019\u00e9coulement liquide ou gazeux dans les r\u00e9gimes laminaire, transitoire et turbulent. Elle est r\u00e9gie par l\u2019\u00e9quation de Navier-Stokes.<\/p>\n<ul>\n<li style=\"color: #000080;\"><span style=\"color: #000080;\">Cas d\u2019\u00e9tude : <em>Circuit de refroidissement, enceinte \u00e0 vide, circuit de pompage<br><\/em><\/span><\/li>\n<\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1945\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-1945\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><i class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><i class=\"fas fa-angle-down\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\"> Expertise en m\u00e9canique du solide<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1945\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-1945\"><p style=\"text-align: justify;\">La m\u00e9canique du solide permet d\u2019\u00e9tudier la dynamique d\u2019un ou plusieurs ensembles non-d\u00e9formable \u00e0 travers les lois du mouvement de Newton.<\/p>\n<p style=\"text-align: justify;\">Le cas particulier de la m\u00e9canique des solides d\u00e9formables permet de consid\u00e9rer les tenseurs des d\u00e9formations et contraintes auxquels les objets sont soumis sous l\u2019action de forces ext\u00e9rieures.<\/p>\n<ul>\n<li style=\"color: #000080;\"><span style=\"color: #000080;\">Cas d\u2019\u00e9tude : <em>Contact m\u00e9canique, enceinte \u00e0 vide, bouteille pressuris\u00e9e, chargement d&rsquo;un syst\u00e8me<br><\/em><\/span><\/li>\n<\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>ProtoSTEP propose une gamme d&rsquo;\u00e9tudes et d&rsquo;expertises vari\u00e9e. Celles-ci sont h\u00e9rit\u00e9es de dix ann\u00e9es d&rsquo;exp\u00e9rience en Recherche acad\u00e9mique et R&amp;D industrielle. Les domaines de physique pr\u00e9sent\u00e9s ci-dessous peuvent se retrouver dans le cadre de diverses applications. Chaque expertise physique pourra \u00eatre \u00e9tudi\u00e9e seule ou en interaction multi-physiques selon les besoins exprim\u00e9s. Expertise en \u00e9lectromagn\u00e9tisme L\u2019\u00e9lectromagn\u00e9tisme [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"0","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"3","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"<p id=\"p10\"><font face=\"Advent\" color=\"#000080\" size=\"10em\">Expertise multiphysique<\/font><\/p>","ocean_post_subheading":"<font face=\"Segoe UI\" color=\"#002142\" size=\"4em\">La physique au c\u0153ur de vos projets<\/font> <p style=\"text-align: right\"><font face=\"Arial\" color=\"#4f4f4f\" size=\"1em\"><em>Cr\u00e9dits Images : COMSOL Multiphysics<sup>\u00ae<\/sup><\/em><\/font><\/p>","ocean_post_title_style":"background-image","ocean_post_title_background_color":"","ocean_post_title_background":3060,"ocean_post_title_bg_image_position":"center center","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"repeat-x","ocean_post_title_bg_image_size":"cover","ocean_post_title_height":200,"ocean_post_title_bg_overlay":0.7,"ocean_post_title_bg_overlay_color":"#efefff","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-2591","page","type-page","status-publish","hentry","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>ProtoSTEP - Expertise multiphysique<\/title>\n<meta name=\"description\" content=\"ProtoSTEP propose une gamme d\u2019\u00e9tudes et d\u2019expertises vari\u00e9e. 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