Isogeometric analysis; PHT-spline; T-meshes; T-spline; Complex geometries; Elastic solids; Finite Element; Local refinement; Local support; Non-negativity; Numerical example; Partition of unity; Polynomial splines; Shape functions; Standard finite element; T-splines; Function evaluation; Numerical methods; Polynomial approximation; Splines
Abstract :
[en] Isogeometric analysis has become a powerful alternative to standard finite elements due to its flexibility in handling complex geometries. One of the major drawbacks of NURBS-based isogeometric finite elements is the inefficiency of local refinement. In this study, we present an alternative to NURBS-based isogeometric analysis that allows 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. Several numerical examples are used to demonstrate the reliability of the present method.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Nguyen-Thanh, N.; Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstr. 15, D-99423 Weimar, Germany
Nguyen-Xuan, H.; Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science, VNU, HCM, Viet Nam, Division of Computational Mechanics, Ton Duc Thang University, HCM, Viet Nam
Bordas, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Rabczuk, T.; Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstr. 15, D-99423 Weimar, Germany
External co-authors :
yes
Language :
English
Title :
Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
Publication date :
2011
Journal title :
Computer Methods in Applied Mechanics and Engineering
