[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-968808","data":"\u003Cdiv class=\u0022container content-rte\u0022\u003E\n \u003Cdiv class=\u0022row\u0022\u003E\n \u003Cdiv class=\u0022box col-md-6 bg-primary text-white\u0022\u003E\n \u003Ch2 class=\u0022h1 text-left\u0022\u003E M\u00e9thodes particulaires et XFEM\n\u003C\/h2\u003E\n \u003Cdiv class=\u0022field-spacing\u0022\u003E\n \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n 3\n \u003C\/div\u003E\n \u003C\/div\u003E\n \u003Cdiv class=\u0022field-spacing\u0022\u003E\n \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ESemestre calendaire :\n Semester 1\n \u003C\/div\u003E\n \u003C\/div\u003E\n \u003Cdiv class=\u0022field-spacing\u0022\u003E\n \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ED\u00e9tail du volume horaire\u003C\/div\u003E\n \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ECours magistraux :\u003C\/span\u003E\n \u003Cspan\u003E30\u003C\/span\u003E\n \u003C\/div\u003E\n \u003C\/div\u003E\n \u003Cdiv class=\u0022field-spacing\u0022\u003E\n \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ELangue d\u0026#039;enseignement\u003C\/div\u003E\n \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n \u003Cspan\u003EAnglais\u003C\/span\u003E\n \u003C\/div\u003E\n \u003C\/div\u003E\n \u003Cdiv class=\u0022field-spacing\u0022\u003E\n \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EEnseignement \u00e0 distance\u003C\/div\u003E\n \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n \u003Cspan\u003Enon\u003C\/span\u003E\n \u003C\/div\u003E\n \u003C\/div\u003E\n \u003C\/div\u003E\n \u003Cdiv class=\u0022box col-md-6\u0022\u003E\n \u003Cdiv class=\u0022field-spacing\u0022\u003E\n \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EPr\u00e9requis\u003C\/div\u003E\n \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n \u003Cspan\u003E\u003Cp\u003EM\u00e9canique des milieux continus, m\u00e9thodes des \u00e9l\u00e9ments finis, analyse fonctionnelle, alg\u00e8bre lin\u00e9aire, analyse math\u00e9matique des EDPs, notions de programmation.\u003C\/p\u003E\u003C\/span\u003E\n \u003C\/div\u003E\n \u003C\/div\u003E\n \u003Cdiv class=\u0022field-spacing\u0022\u003E\n \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EObjectifs d\u0026#039;apprentissage\u003C\/div\u003E\n \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n \u003Cspan\u003E\u003Cp\u003ELa m\u00e9thode \u00e9l\u00e9ments finis standards pr\u00e9sente des limites pour certains probl\u00e8mes physiques comme les probl\u00e8mes de fragmentation ou de multi-fissuration. Ces probl\u00e8mes demandent des remaillages intensifs ou des suivis de particules qui sont soit tr\u00e8s co\u00fbteux num\u00e9riquement soit non impl\u00e9mentables. Les m\u00e9thodes particulaires et la m\u00e9thode XFEM offrent des strategies de calculs alternatifs qui permettent de mod\u00e9liser raisonnablement ce types de probl\u00e8mes\u003Cbr\u003E\nL\u2019objectif de ce cours est de pr\u00e9senter les concepts de base des techniques des m\u00e9thodes particulaires et de la m\u00e9thode XFEM ainsi que leur mise en \u0153uvre pratique.\u003C\/p\u003E\n\u003Cp\u003EThe Finite Element Method presents some limitations to model certain physical problems such as fragmentation and multi-crack growth. These problems require large adaptive remeshing or follow-up of fragmented material parts that are either computationally expensive or non-implementable. Particle methods and XFEM offer alternative numerical strategies that makes it possible to reasonably model these types of problems.\u003Cbr\u003E\nThe objective of this course is to present basic technical concepts of particle methods and XFEM and their numerical implementation.\u003C\/p\u003E\u003C\/span\u003E\n \u003C\/div\u003E\n \u003C\/div\u003E\n \u003Cdiv class=\u0022field-spacing\u0022\u003E\n \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EOrganisation g\u00e9n\u00e9rale et modalit\u00e9s p\u00e9dagogiques\u003C\/div\u003E\n \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n \u003Cspan\u003E\u003Cp\u003ECe cours abordera la m\u00e9thode XFEM et quelques-unes des m\u00e9thodes particulaires comme la m\u00e9thode SPH et RKPM. Le cours inclut une introduction a l\u2019analyse fonctionnelle pour comprendre les relations entre les diff\u00e9rentes m\u00e9thodes. Le cours sera \u00e9valu\u00e9 par un projet num\u00e9rique pour lequel les \u00e9tudiants mettront en \u0153uvre et coderont certaines m\u00e9thodes comme la m\u00e9thode XFEM par eux-m\u00eames et comparerons les performances de ces m\u00e9thodes par rapport au \u00e9l\u00e9ments finis standards.\u003C\/p\u003E\u003C\/span\u003E\n \u003C\/div\u003E\n \u003C\/div\u003E\n \u003Cdiv class=\u0022field-spacing\u0022\u003E\n \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EBibliographie\u003C\/div\u003E\n \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n \u003Cspan\u003E\u003Cp\u003E[1] Meshfree particle methods, S. Li, W K Liu, Springer. ISBN 978-3-540-22256-9 [2] The non linear finite element method, T Belytschko, WK Liu, B Moran, KL Elkhodary, Wiley ISBN-13: 978-1118632703.\u003C\/p\u003E\u003C\/span\u003E\n \u003C\/div\u003E\n \u003C\/div\u003E\n \u003Cdiv class=\u0022field-spacing\u0022\u003E\n \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ENature de l\u0026#039;\u00e9valuation\u003C\/div\u003E\n \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n \u003Cspan\u003EEvaluation Continue non Int\u00e9grale\u003C\/span\u003E\n \u003C\/div\u003E\n \u003C\/div\u003E\n \u003C\/div\u003E\n \u003C\/div\u003E\n\u003C\/div\u003E\n","settings":null}]