{"id":574,"date":"2017-01-05T00:41:13","date_gmt":"2017-01-05T05:41:13","guid":{"rendered":"https:\/\/coefs.charlotte.edu\/atabarra\/?page_id=574"},"modified":"2017-01-05T00:51:21","modified_gmt":"2017-01-05T05:51:21","slug":"undergrad-fem","status":"publish","type":"page","link":"https:\/\/coefs.charlotte.edu\/atabarra\/undergrad-fem\/","title":{"rendered":"Undergrad FEM"},"content":{"rendered":"<p>In this course, besides learning the mathematical theory of finite element method, the students will learn using Abaqus for linear finite element modeling.<\/p>\n<p><strong>Topics Covered in this class include:<\/strong><\/p>\n<ul>\n<li>Introduction to FEA<\/li>\n<li>Introduction to Linear Algebra (vectors, matrices, eigenvalue problems etc.)<\/li>\n<li>Stress (3-D)<\/li>\n<li>Strain (3-D)<\/li>\n<li>&nbsp;Generalized Hooke&#8217;s Law<\/li>\n<li>Equilibrium Equations<\/li>\n<li>Boundary Conditions<\/li>\n<li>Plane Stress, Plane Strain and Axisymmetry<\/li>\n<li>One Dimensional Bar Problem (Strong Formulation, Derivation)<\/li>\n<li>Beam Elements<\/li>\n<li>Rigid Frame Joints<\/li>\n<li>Approximation Solutions to Differential Equations (different methods)<\/li>\n<li>Weak Formulation of the above problem<\/li>\n<li>Linear Finite Elements<\/li>\n<li>Stiffness Equation, Global Stiffness Matrix and Global Force Vector<\/li>\n<li>Element Stiffness Matrix, Element Force Vector<\/li>\n<li>Equivalent Nodal Forces<\/li>\n<li>Assembly<\/li>\n<li>Solution to Systems of Linear Equations<\/li>\n<li>Calculation of Stress and Strain from FE solution<\/li>\n<li>Quadratic Elements in 1D<\/li>\n<li>Modification of the 1D bar problem to 1D heat conduction<\/li>\n<li>Various types of elements available in 2D and 3D<\/li>\n<li>Choice of Elements<\/li>\n<li>Convergence considerations<br \/>\n&nbsp;<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In this course, besides learning the mathematical theory of finite element method, the students will learn using Abaqus for linear finite element modeling. Topics Covered in this class include: Introduction to FEA Introduction to Linear Algebra (vectors, matrices, eigenvalue problems &hellip; <a href=\"https:\/\/coefs.charlotte.edu\/atabarra\/undergrad-fem\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":120,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-574","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/coefs.charlotte.edu\/atabarra\/wp-json\/wp\/v2\/pages\/574","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/coefs.charlotte.edu\/atabarra\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/coefs.charlotte.edu\/atabarra\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/coefs.charlotte.edu\/atabarra\/wp-json\/wp\/v2\/users\/120"}],"replies":[{"embeddable":true,"href":"https:\/\/coefs.charlotte.edu\/atabarra\/wp-json\/wp\/v2\/comments?post=574"}],"version-history":[{"count":2,"href":"https:\/\/coefs.charlotte.edu\/atabarra\/wp-json\/wp\/v2\/pages\/574\/revisions"}],"predecessor-version":[{"id":579,"href":"https:\/\/coefs.charlotte.edu\/atabarra\/wp-json\/wp\/v2\/pages\/574\/revisions\/579"}],"wp:attachment":[{"href":"https:\/\/coefs.charlotte.edu\/atabarra\/wp-json\/wp\/v2\/media?parent=574"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}