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ICCM2016: Multi-Patch-Based B-Spline Method for Solid and Structure
International Journal of Computational Methods ( IF 1.4 ) Pub Date : 2019-12-02 , DOI: 10.1142/s021987622050005x
Yanan Liu 1
Affiliation  

In this paper, the solution domain is divided into multi-patches on which B-spline basis functions are used for approximation. The different B-spline patches are connected by a transition region which is described by several elements. The basis functions in different B-spline patches are modified in the transition region to ensure the basic polynomial reconstruction condition and the compatibility of displacements and their gradients. This new method is applied to the stress analysis of 2D elasticity problems in order to investigate its performance. Numerical results show that the present method is accurate and stable.

中文翻译:

ICCM2016:基于多面片的实体和结构 B 样条方法

在本文中,解决方案域被划分为多块,在这些块上使用 B 样条基函数进行逼近。不同的 B 样条贴片由一个由几个元素描述的过渡区域连接。在过渡区域对不同B样条补丁中的基函数进行修改,以确保基本多项式重建条件以及位移及其梯度的兼容性。这种新方法应用于二维弹性问题的应力分析,以研究其性能。数值结果表明,本方法准确、稳定。
更新日期:2019-12-02
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