Xuesong Li¹, Shuting Wang^1,2, Nianmeng Luo^1,*, Aodi Yang¹, Xing Yuan¹, Xianda Xie^2,*

CMES-Computer Modeling in Engineering & Sciences, Vol.142, No.2, pp. 1481-1514, 2025, DOI:10.32604/cmes.2024.058798 - 27 January 2025

Abstract Due to the high-order B-spline basis functions utilized in isogeometric analysis (IGA) and the repeatedly updating global stiffness matrix of topology optimization, Isogeometric topology optimization (ITO) intrinsically suffers from the computationally demanding process. In this work, we address the efficiency problem existing in the assembling stiffness matrix and sensitivity analysis using Bėzier element stiffness mapping. The Element-wise and Interaction-wise parallel computing frameworks for updating the global stiffness matrix are proposed for ITO with Bėzier element stiffness mapping, which differs from these ones with the traditional Gaussian integrals utilized. Since the explicit stiffness computation formula derived… More >

Zhihui Xiong^*, Lei Kou, Jinjie Zhao, Hao Cui, Bo Wang

CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.1, pp. 803-824, 2023, DOI:10.32604/cmes.2023.024833 - 05 January 2023

Abstract Serious uneven settlement of the tunnel may directly cause safety problems. At this stage, the deformation of the tunnel is predicted and analyzed mainly by numerical simulation, while the commonly used finite element method (FEM) uses low-order continuous elements. Therefore, the accuracy of tunnel settlement prediction is not enough. In this paper, a method is proposed to study the vertical deformation of the tunnel by using the combination of isogeometric analysis (IGA) and Bézier extraction operator. Compared with the traditional IGA method, this method can be easily integrated into the existing FEM framework, and ensure… More >