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An Improved Integration for Trimmed Geometries in Isogeometric Analysis

Jinlan Xu1, Ningning Sun1, Laixin Shu1, Timon Rabczuk2, Gang Xu1,*

School of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou, 310018, China.
Institute of Structural Mechanics, Bauhaus-University Weimar, D-99423 Weimar, Germany.

* Corresponding Author: Gang Xu. Email: email.

Computers, Materials & Continua 2019, 60(2), 615-632. https://doi.org/10.32604/cmc.2019.04464

Abstract

Trimming techniques are efficient ways to generate complex geometries in Computer-Aided Design (CAD). In this paper, an improved integration for trimmed geometries in isogeometric analysis (IGA) is proposed. The proposed method can improve the accuracy of the approximation and the condition number of the stiffness matrix. In addition, comparing to the traditional approaches, the trimming techniques can reduce the number of the integration elements with much fewer integration points, which improves the computational efficiency significantly. Several examples are illustrated to show the effectiveness of the proposed approach.

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Cite This Article

J. Xu, N. Sun, L. Shu, T. Rabczuk and G. Xu, "An improved integration for trimmed geometries in isogeometric analysis," Computers, Materials & Continua, vol. 60, no.2, pp. 615–632, 2019. https://doi.org/10.32604/cmc.2019.04464

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cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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