{"id":36433,"date":"2009-01-01T15:00:34","date_gmt":"2009-01-01T15:00:34","guid":{"rendered":"https:\/\/silvaco.com\/%e6%9c%aa%e5%88%86%e7%b1%bb\/3d-simulation-of-oxidation-induced-stress-using-cartesian-meshes-with-adaptive-refinement\/"},"modified":"2021-10-13T10:30:01","modified_gmt":"2021-10-13T17:30:01","slug":"3d-simulation-of-oxidation-induced-stress-using-cartesian-meshes-with-adaptive-refinement","status":"publish","type":"post","link":"https:\/\/silvaco.com\/zh-hans\/simulation-standard-zh-hans\/3d-simulation-of-oxidation-induced-stress-using-cartesian-meshes-with-adaptive-refinement\/","title":{"rendered":"3D Simulation of Oxidation Induced Stress Using Cartesian Meshes with Adaptive Refinement"},"content":{"rendered":"<div id='template_overview'  class='avia-section main_color avia-section-small avia-no-border-styling  avia-bg-style-scroll  avia-builder-el-0  el_before_av_section  avia-builder-el-first   container_wrap fullsize' style='background-color: #ffffff;  margin-top:0px; margin-bottom:0px; '  ><div class='container' ><main  role=\"main\" itemprop=\"mainContentOfPage\"  class='template-page content  av-content-full alpha units'><div class='post-entry post-entry-type-page post-entry-36433'><div class='entry-content-wrapper clearfix'>\n<div class='flex_column_table av-equal-height-column-flextable -flextable' style='margin-top:20px; margin-bottom:0px; '><div class=\"flex_column av_three_fourth  flex_column_table_cell av-equal-height-column av-align-top first  avia-builder-el-1  el_before_av_one_fourth  avia-builder-el-first  \" style='padding:0px 0px 0px 0px ; border-radius:0px; '><section class=\"av_textblock_section \"  itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/BlogPosting\" itemprop=\"blogPost\" ><div class='avia_textblock  '   itemprop=\"text\" ><h1><strong>3D Simulation of Oxidation Induced Stress Using Cartesian<br \/>\nMeshes with Adaptive Refinement<\/strong><\/h1>\n<p style=\"color: #000000; font-size: medium; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\">The formation of isolation trenches is one of the key process steps used in power device fabrication. Also the intensive scaling of modern semiconductor devices requires significant stress engineering to enhance carrier mobilities and avoid extended defect formation. Simulation results from complex 3D trench and lateral isolation structures are presented together with the inbuilt oxidation induced mechanical stress in the grown oxides. Fast transition of compressive to tensile stresses has been obtained for concave-convex surfaces with internal hydrostatic pressures ranging from 0.04 to \u20130.04 N\/\u03bcm<sup>2<\/sup>\u00a0.<\/p>\n<p style=\"color: #000000; font-size: medium; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;\">A previous publication [1] introduced a new simulation framework (VICTORY PROCESS, Silvaco\u2019s 3D TCAD tool) based on using Cartesian meshes with adaptive refinement. Unlike unstructured tetrahedral meshes, this approach makes use of the level set method on fixed Cartesian meshes and does not involve re-meshing algorithms that represent a major obstacle in modelling 3D processes. VICTORY PROCESS also uses finite difference numerical schemes to solve the oxidation modelling equations. The implementation of general-type boundary conditions at arbitrary implicit interfaces and the approximation of the equations at the interface between fine and coarse Cartesian meshes are major milestones. Novel, in-house finite-difference schemes were developed and successfully implemented in a commercial simulation framework to overcome these issues. This paper demonstrates the capability and versatility of the Cartesian framework to simulate and analyze oxidation-induced stress.<\/p>\n<\/div><\/section><\/div><div class='av-flex-placeholder'><\/div><div class=\"flex_column av_one_fourth  flex_column_table_cell av-equal-height-column av-align-top av-zero-column-padding   avia-builder-el-3  el_after_av_three_fourth  avia-builder-el-last  \" style='border-radius:0px; ' id=\"whitepaper\" ><p><div  class='avia-builder-widget-area clearfix  avia-builder-el-4  el_before_av_image  avia-builder-el-first '><div id=\"nav_menu-29\" class=\"widget clearfix widget_nav_menu\"><div class=\"menu-simulation-standard-side-menu-chinese-simplified-container\"><ul id=\"menu-simulation-standard-side-menu-chinese-simplified\" class=\"menu\"><li id=\"menu-item-35571\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-35571\"><a href=\"https:\/\/silvaco.com\/zh-hans\/technical-library\/simulation-standard\/\">Simulation Standard<\/a><\/li>\n<\/ul><\/div><\/div><\/div><br \/>\n<div  class='avia-image-container  av-styling-    avia-builder-el-5  el_after_av_sidebar  el_before_av_button  avia-align-center '  itemprop=\"image\" itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/ImageObject\"  ><div class='avia-image-container-inner'><div class='avia-image-overlay-wrap'><a href=\"\/dynamicweb\/jsp\/downloads\/DownloadDocStepsAction.do?req=download&amp;nm=simstd_Q1_2009_a4.pdf\" class='avia_image' target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" width=\"232\" height=\"300\" class='wp-image-19903 avia-img-lazy-loading-not-19903 avia_image' src=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q1_2009_a4-232x300.jpg\" alt='' title='simstd_Q1_2009_a4'  itemprop=\"thumbnailUrl\" srcset=\"https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q1_2009_a4-232x300.jpg 232w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q1_2009_a4-768x994.jpg 768w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q1_2009_a4-545x705.jpg 545w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q1_2009_a4-29x37.jpg 29w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q1_2009_a4-43x55.jpg 43w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q1_2009_a4-37x48.jpg 37w, https:\/\/silvaco.com\/wp-content\/uploads\/2020\/03\/simstd_Q1_2009_a4.jpg 782w\" sizes=\"(max-width: 232px) 100vw, 232px\" \/><\/a><\/div><\/div><\/div><br \/>\n<div  class='avia-button-wrap avia-button-center  avia-builder-el-6  el_after_av_image  avia-builder-el-last ' ><a href='\/dynamicweb\/jsp\/downloads\/DownloadDocStepsAction.do?req=download&amp;nm=simstd_Q1_2009_a4.pdf' class='avia-button  avia-color-grey   avia-icon_select-yes-right-icon avia-size-small avia-position-center ' target=\"_blank\" rel=\"noopener noreferrer\"><span class='avia_iconbox_title' >Download Simulation Standard<\/span><span class='avia_button_icon avia_button_icon_right' aria-hidden='true' data-av_icon='\ue875' data-av_iconfont='entypo-fontello'><\/span><\/a><\/div><\/p><\/div><\/div><!--close column table wrapper. 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Autoclose: 1 -->\n<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The formation of isolation trenches is one of the key process steps used in power device fabrication. Also the intensive scaling of modern semiconductor devices requires significant stress engineering to enhance carrier mobilities and avoid extended defect formation. Simulation results from complex 3D trench and lateral isolation structures are presented together with the inbuilt oxidation induced mechanical stress in the grown oxides. Fast transition of compressive to tensile stresses has been obtained for concave-convex surfaces with internal hydrostatic pressures ranging from 0.04 to \u20130.04 N\/\u03bcm2 .<\/p>\n","protected":false},"author":5,"featured_media":19903,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7723],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.0 (Yoast SEO v24.0) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>3D Simulation of Oxidation Induced Stress Using Cartesian Meshes with Adaptive Refinement - Silvaco<\/title>\n<meta name=\"description\" content=\"The formation of isolation trenches is one of the key process steps used in power device fabrication. 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