Journal of Applied and Computational Mechanics
Generation of a Quadrilateral Mesh based on NURBS for Gyroids of Variable Thickness and Porosity
Document Type : Research Paper
Authors
1 School of Engineering and Sciences, Tecnológico de Monterrey. Av. General Ramón Corona 2514, Col. Nuevo México, Zapopan, Jalisco, México, CP 45138
2 School of Engineering and Sciences, Tecnológico de Monterrey. Calle del Puente 222, Col. Ejidos de Huipulco, Tlalpan, Ciudad de México, México, CP 14380
Abstract
The Gyroid is a periodic minimal surface explored in different applications, such as architecture and nanotechnology. The general topology is suitable for the construction of porous structures. This paper presents a non-iterative, novel methodology for the generation of a NURBS-based Gyroid volume. The Gyroid fundamental patch is defined with the Weierstrass parameterization. Furthermore, the geometry is manipulated to generate a structured mesh, allowing better element quality for FEM and IGA simulations. The re-parametrization is carried out by a Least-Squares approximation with a parametric NURBS surface, enabling a better definition of the mid-surface normals for the generation of the complete Gyroid volume. Different cases of variational thickness and porosity are presented to validate the versatility of our method.
Keywords
Main Subjects
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