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
|
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: | 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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