Mariana Flores-Jimenez - School of Engineering and Sciences, Tecnológico de Monterrey. Av. General Ramón Corona ۲۵۱۴, Col. Nuevo México, Zapopan, Jalisco, México, CP ۴۵۱۳۸‎
Arturo Delgado-Gutiérrez - School of Engineering and Sciences, Tecnológico de Monterrey. Calle del Puente ۲۲۲, Col. Ejidos de Huipulco, Tlalpan, Ciudad de México, México, CP ۱۴۳۸۰‎
Rita Fuentes-Aguilar - School of Engineering and Sciences, Tecnológico de Monterrey. Av. General Ramón Corona ۲۵۱۴, Col. Nuevo México, Zapopan, Jalisco, México, CP ۴۵۱۳۸‎
Diego Cardenas - School of Engineering and Sciences, Tecnológico de Monterrey. Av. General Ramón Corona ۲۵۱۴, Col. Nuevo México, Zapopan, Jalisco, México, CP ۴۵۱۳۸‎

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.

Gyroid, NURBS, Parametric mesh, TPMS