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A New Polygonal Scaled Boundary Finite Element Method Using Exact NURBS Boundaries

Xinqing Li¹, Yingjun Wang^1,*

1 National Engineering Research Center of Novel Equipment for Polymer Processing, The Key Laboratory of Polymer Processing Engineering of the Ministry of Education, Guangdong Provincial Key Laboratory of Technique and Equipment for Macromolecular Advanced Manufacturing, South China University of Technology, Guangzhou, 510641, China

* Corresponding Author: Yingjun Wang. Email:

The International Conference on Computational & Experimental Engineering and Sciences 2024, 29(2), 1-1. https://doi.org/10.32604/icces.2024.010988

Abstract

Aiming to address the challenge of inaccurately describing the curve boundary of the complex design domain in traditional finite element mesh, this work proposes a new polygon mesh generation and polygonal scaled boundary finite element method (SBFEM) using exact non-uniform rational B-splines (NURBS) boundaries. The NURBS curve information of the boundary can be adaptively updated with mesh changes. Using SBFEM, the boundary elements can be discretized into NURBS elements and conventional elements, whose physical fields are respectively constructed using NURBS basis functions and Lagrange shape functions in the circumferential direction. Furthermore, in the radial direction, by transforming a system of partial differential equations into a system of ordinary differential equations, which can be analytically solved without fundamental solutions. The numerical examples demonstrate that the proposed method can achieve a high-quality polygonal mesh with adaptive NURBS updating. Moreover, it effectively solves the corresponding polygonal elements and significantly improves the accuracy of the displacement and stress solutions compared to the traditional polygon SBFEM.

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Keywords

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