Premium
Efficient computation of cellular materials using the finite cell method
Author(s) -
Heinze Stephan,
Joulaian Meysam,
Egger Herbert,
Düster Alexander
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410113
Subject(s) - discretization , computation , voxel , regular grid , domain (mathematical analysis) , ansatz , representation (politics) , grid , computer science , finite element method , hexahedron , cartesian coordinate system , degrees of freedom (physics and chemistry) , computational science , algorithm , mathematics , theoretical computer science , geometry , mathematical analysis , artificial intelligence , physics , quantum mechanics , politics , political science , law , thermodynamics , mathematical physics
The application of cellular materials in lightweight structures is a subject of growing interest. As meshing with surface aligned elements is very time consuming and entails a lot of degrees of freedom, we apply the finite cell method (FCM). The FCM is an extension of the known fictitious domain methods based on using high order polynomials for the Ansatz functions. In order to obtain a realistic representation of the geometry, we derive our discretization directly from the voxel data coming from the computer tomography (CT‐scan) of the specimen of interest. Thus, a much coarser Cartesian grid consisting of hexahedral cells can be readily generated in a fully automated fashion. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)