[en] In this seminar we consider the problem of constructing a numerical method particularly well suited to modelling domains described by segmented image data of the human body. Instead of constructing a conforming mesh of the problem domain, we use implicitly defined domains described using the level-set method. We then include information about the implicitly defined domains by enriching the usual finite element basis functions defined on a cartesian quadtree or octree mesh with hanging nodes. This approach introduces significant complexities compared with classical finite element methods. We will discuss difficulties with the treatment of hanging nodes, numerical integration and imposing Dirichlet boundary conditions. We will discuss the possible future of extensions of this work, including cutting of soft tissue, multiscale problems with complex microstructure, and model order reduction problems.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
HALE, Jack ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
BORDAS, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Kerfriden, Pierre
Language :
English
Title :
From image to analysis: an extended finite element method to simulate the mechanical response of soft-tissue
Publication date :
10 April 2014
Event name :
RUES Research Seminar 2014
Event organizer :
University of Luxembourg
Event place :
Luxembourg
Event date :
10-04-2014
Focus Area :
Computational Sciences
European Projects :
FP7 - 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
Funders :
FNR - Fonds National de la Recherche CE - Commission Européenne European Union