Open Access

ARTICLE

An Improved Integration for Trimmed Geometries in Isogeometric Analysis

Jinlan Xu¹, Ningning Sun¹, Laixin Shu¹, Timon Rabczuk², Gang Xu^1,*

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

* Corresponding Author: Gang Xu. 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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Citations