Non-Intrusive Extension of a Generalized Finite Element Method for Multiscale Problems to the Abaqus Analysis Platform

finite element methods;multiscale;heat transfer;Galerkin methods;Generalized Finite Element Method (GFEM)

Plews, Julia A. ; Duarte ; C. Armando

关键词: finite element methods;    multiscale;    heat transfer;    Galerkin methods;    Generalized Finite Element Method (GFEM);   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/24461/Plews_Julia.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

Several classes of important engineering problems – in this case, problems exhibiting sharp thermal gradients – have solution features spanning multiple spatial scales of interest and, therefore, necessitate advanced hp finite element discretizations. Although hp-FEM is unavailable off-the-shelf in many predominant commercial analysis software packages, a novel method is proposed herein which is used to introduce these capabilities via the generalized FEM with global-local enrichments (GFEMgl) non-intrusively in Abaqus, a popular, general-purpose FEA platform. Numerical results show that the techniques utilized allow for accurate resolution of localized thermal features on structural-scale meshes without hp-adaptivity or the ability to account for very localized loads in the FEM framework itself. This methodology enables the user to take advantage of all the benefits of both hp-FEM discretizations and the appealing features of many available CAE/FEA software packages in order to obtain optimal convergence for challenging multiscale problems.