How does the initial cell configuration influence the final topology in a metamaterial generation process?

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Abstract

Abstract
This research aims to evaluate the impact of the initial cell configuration and the limit volume fraction on the generation of mechanical metamaterial cells. The procedure was developed using a methodology based on preprocessing, processing, and post processing to facilitate fast exploration of metamaterial cell space design. The initial cell consisted of a square or cube of material with a central circular or spherical void diameters of 10 mm, 20 mm, and 30 mm. Additionally, the generation process employed three volume fractions limits (30%, 40%, and 50%) and eleven objective functions. These functions intended to generate cells that maximize stiffness in one or multiple directions and cells with maximum compressibility or shear modulus. Some of the obtained cells with tailored mechanical properties exhibit novel geometrical configurations. The results highlight volume fraction as the most significant factor in the generation process, with well-defined metamaterial cells produced using an initial volume fraction of 50% and low to medium void diameters.

Author Biographies

Jeffrey Guevara-Corzo, School of Mechanical Engineering, Universidad Industrial de Santander, Bucaramanga 680002, Santander, Colombia.

Doctoral student of mechanical engineering associated with the INME research group (faculty of physical-mechanical engineering) of the Universidad Industrial de Santander.

Jesus García-Sánchez, Institute of Mechanical Engineering, Universidade Federal de Itajubá, Itajubá 37500-903, Minas Gerais, Brazil

Professor at the school of mechanical engineering institute of the federal university of itajubá

Carolina Quintero-Ramírez, Department of Structural Engineering, Universidade de São Paulo, São Carlos 13566-590, São Paulo, Brazil

Postdoctoral researcher associated with the department of structures of the Escola de Engenharia de São Carlos - Universidade de São Paulo.

Oscar Begambre-Carrillo, School of Civil Engineering, Universidad Industrial de Santander, Bucaramanga 680002, Santander, Colombia

Professor of the School of Civil Engineering (Faculty of Physical-Mechanical Engineering) of the Universidad Industrial de Santander.

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Published

2024-05-03

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Articles