Bézier-based metamaterials: synthesis, mechanics and additive manufacturing

The design of mechanical metamaterials often uses lattice arrangements being benefited from the increase in Additive Manufacturing technologies available. Such design freedom allows the fabrication of lattice arrangements with com-plex curved geometries. Here we propose a whole family of novel lattic...

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Detalhes bibliográficos
Autores: ENRIQUE CUAN URQUIZO, ARMANDO ROMAN FLORES, Luis Gerardo Trápaga Martínez, JUAN MANUEL ALVARADO OROZCO
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:México
Recursos:Centro de Investigación y Asistencia en Tecnología
Repositorio:Repositorio Institucional de CIATEQ
Idioma:inglés
OAI Identifier:oai:ciateq.repositorioinstitucional.mx:1020/487
Acesso em linha:http://ciateq.repositorioinstitucional.mx/jspui/handle/1020/487
Access Level:acceso abierto
Palavra-chave:info:eu-repo/classification/Palabra clave del autor/Metamaterials
info:eu-repo/classification/Palabra clave del autor/Apparent mechanical properties
info:eu-repo/classification/Palabra clave del autor/Structure-property relationship
info:eu-repo/classification/Palabra clave del autor/Cubic Bézier curves
info:eu-repo/classification/Palabra clave del autor/Lattice
info:eu-repo/classification/Palabra clave del autor/Additive manufacturing
info:eu-repo/classification/cti/7
info:eu-repo/classification/cti/33
info:eu-repo/classification/cti/3310
info:eu-repo/classification/cti/331006
Descrição
Resumo:The design of mechanical metamaterials often uses lattice arrangements being benefited from the increase in Additive Manufacturing technologies available. Such design freedom allows the fabrication of lattice arrangements with com-plex curved geometries. Here we propose a whole family of novel lattice matematerials parametrized using cubic Bézier curves. The methodology presented permits the generation of unit cells with different degrees of curvature based on the location of the Bézier control points along a spiral. The apparent stiffness of these structures was charac-terized using finite element analysis and compression tests on additively manufactured samples using stereolithography. The mechanical properties of spiral based cubic Bézier metamaterials were related to the location of thecontrol points,curvature,etc.Itwasfoundthatthe apparent stiffness decreases proportionally to the cubic root of the distance between the control point and the predefined origin of the coordinate system. Due to symmetry con-ditions, the slope continuity in the curves conforming the unit cells is fulfilled and the origin of the coordinate system used coincides with the center of the unit cells. The procedure presented for the synthesis of metamaterials enables the generation of structures with customized mechanical properties by adjusting the geometry of the unit cells. © 2020 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (creativecommons.org/licenses/by-nc-nd/4.0/).