Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids

Nguyen-Thanh, N., Nguyen-Xuan, H., Bordas, Stephane Pierre Alain ORCID: https://orcid.org/0000-0001-8634-7002 and Rabczuk, T. 2011. Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids. Computer Methods in Applied Mechanics and Engineering 200 (21-22) , pp. 1892-1908. 10.1016/j.cma.2011.01.018

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Abstract

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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TJ Mechanical engineering and machinery
Uncontrolled Keywords:	Isogeometric analysis; T-spline; T-meshes; PHT-spline
Publisher:	Elsevier
ISSN:	0045-7825
Last Modified:	18 Oct 2022 13:33
URI:	https://orca.cardiff.ac.uk/id/eprint/14354

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