Isogeometric finite element analysis; Polynomial splines; T-meshes
Abstract :
[en] Isogeometric finite element analysis has become a powerful alternative to standard finite elements due to their flexibility in handling complex geometries. One major drawback of NURBS based isogeometric finite elements is their less effectiveness of local refinement. In this study, we present an alternative to NURBS based isogeometric finite elements that allow for local refinement. The idea is based on polynomial splines and exploits the flexibility of T-meshes for local refinement. The shape functions satisfy important properties such as non-negativity, local support and partition of unity. We will demonstrate the efficiency of the proposed method by two numerical examples.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Nguyen-Thanh, Nhon; Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstr. 15Weimar, Germany
Nguyen-Xuan, Hung; Faculty of Civil Engineering, Ton Duc Thang University HCM, Viet Nam, Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science-VNU HCM, Viet Nam
BORDAS, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Rabczuk, Timon; Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstr. 15Weimar, Germany
External co-authors :
yes
Title :
Isogeometric finite element analysis using polynomial splines over hierarchical T-meshes
Publication date :
2014
Event name :
9th World Congress on Computational Mechanics, WCCM 2010, Held in Conjuction with the 4th Asian Pacific Congress on Computational Mechanics, APCOM 2010
Event date :
19 July 2010 through 23 July 2010
Audience :
International
Journal title :
IOP Conference Series: Materials Science and Engineering
