A Review of the Finite Cell Method for Nonlinear Structural Analysis of Complex CAD and Image-Based Geometric Models

Dominik Schillinger, Quanji Cai, Ralf Peter Mundani, Ernst Rank

Publikation: Beitrag in Buch/Bericht/KonferenzbandKapitelBegutachtung

12 Zitate (Scopus)

Abstract

The finite cell method (FCM) belongs to the class of immersed boundary methods, and combines the fictitious domain approach with high-order approximation, adaptive integration and weak imposition of unfitted Dirichlet boundary conditions. For the analysis of complex geometries, it circumvents expensive and potentially error-prone meshing procedures, while maintaining high rates of convergence. The present contribution provides an overview of recent accomplishments in the FCM with applications in structural mechanics. First, we review the basic components of the technology using the p- and B-spline versions of the FCM. Second, we illustrate the typical solution behavior for linear elasticity in 1D. Third, we show that it is straightforward to extend the FCM to nonlinear elasticity. We also outline that the FCM can be extended to applications beyond structural mechanics, such as transport processes in porous media. Finally, we demonstrate the benefits of the FCM with two application examples, i.e. the vibration analysis of a ship propeller described by T-spline CAD surfaces and the nonlinear compression test of a CT-based metal foam.

OriginalspracheEnglisch
TitelLecture Notes in Computational Science and Engineering
Herausgeber (Verlag)Springer Verlag
Seiten1-23
Seitenumfang23
DOIs
PublikationsstatusVeröffentlicht - 2013

Publikationsreihe

NameLecture Notes in Computational Science and Engineering
Band93
ISSN (Print)1439-7358

Fingerprint

Untersuchen Sie die Forschungsthemen von „A Review of the Finite Cell Method for Nonlinear Structural Analysis of Complex CAD and Image-Based Geometric Models“. Zusammen bilden sie einen einzigartigen Fingerprint.

Dieses zitieren