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

Nguyen-Thanh, N., Nguyen-Xuan, H., Bordas, Stephane Pierre Alain 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: 04 Jun 2017 02:57
URI: http://orca-mwe.cf.ac.uk/id/eprint/14354

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