Design of isotropic porous plates for use in hierarchical plate-lattices

This work deals with the elastic and plastic properties of two-dimensional periodic metamaterials. Design maps are developed to ensure their isotropic elastic response while attaining the theoretical stiffness limits. Numerical simulations of two different topologies - triangular and round hole stag...

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Autores principales:	Julian N. Heidenreich, Maysam B. Gorji, Thomas Tancogne-Dejean, Dirk Mohr
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Mechanical metamaterial 2D perforated lattice Isotropic elasticity Plasticity Hierarchical lattice Materials of engineering and construction. Mechanics of materials TA401-492
Acceso en línea:	https://doaj.org/article/9c93aab7e6464e3c8d7869ccd08d36ca
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spelling	oai:doaj.org-article:9c93aab7e6464e3c8d7869ccd08d36ca2021-11-10T04:17:40ZDesign of isotropic porous plates for use in hierarchical plate-lattices0264-127510.1016/j.matdes.2021.110218https://doaj.org/article/9c93aab7e6464e3c8d7869ccd08d36ca2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0264127521007735https://doaj.org/toc/0264-1275This work deals with the elastic and plastic properties of two-dimensional periodic metamaterials. Design maps are developed to ensure their isotropic elastic response while attaining the theoretical stiffness limits. Numerical simulations of two different topologies - triangular and round hole staggered patterns - are performed to analyze their large deformation response for relative densities ranging from 0.1 to 0.9. The investigations show that the strength of triangular perforated plates is profoundly dependent on the unit cells’ direction concerning the axial loading; 0 and 30 degrees have the lowest and highest yield strength over the entire range of volume fractions. In contrast, the round hole staggered patterns exhibit an almost uniform yield strength in all directions. The yield strength of the circular patterns is significantly lower at low- and intermediate-density ranges; whereas they outperform the triangular ones at relative densities higher than 0.6. Additionally, validation experiments are performed on specimens of 0.3 relative density that have been extracted from DP980 steel sheets using micro waterjet cutting, showing good agreement in terms of force-displacement response and surface strain fields. A foam-like structure is built from periodic sheets and the scaling of the elastic properties of the resulting hierarchical 3D metamaterial are discussed.Julian N. HeidenreichMaysam B. GorjiThomas Tancogne-DejeanDirk MohrElsevierarticleMechanical metamaterial2D perforated latticeIsotropic elasticityPlasticityHierarchical latticeMaterials of engineering and construction. Mechanics of materialsTA401-492ENMaterials & Design, Vol 212, Iss , Pp 110218- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mechanical metamaterial 2D perforated lattice Isotropic elasticity Plasticity Hierarchical lattice Materials of engineering and construction. Mechanics of materials TA401-492
spellingShingle	Mechanical metamaterial 2D perforated lattice Isotropic elasticity Plasticity Hierarchical lattice Materials of engineering and construction. Mechanics of materials TA401-492 Julian N. Heidenreich Maysam B. Gorji Thomas Tancogne-Dejean Dirk Mohr Design of isotropic porous plates for use in hierarchical plate-lattices
description	This work deals with the elastic and plastic properties of two-dimensional periodic metamaterials. Design maps are developed to ensure their isotropic elastic response while attaining the theoretical stiffness limits. Numerical simulations of two different topologies - triangular and round hole staggered patterns - are performed to analyze their large deformation response for relative densities ranging from 0.1 to 0.9. The investigations show that the strength of triangular perforated plates is profoundly dependent on the unit cells’ direction concerning the axial loading; 0 and 30 degrees have the lowest and highest yield strength over the entire range of volume fractions. In contrast, the round hole staggered patterns exhibit an almost uniform yield strength in all directions. The yield strength of the circular patterns is significantly lower at low- and intermediate-density ranges; whereas they outperform the triangular ones at relative densities higher than 0.6. Additionally, validation experiments are performed on specimens of 0.3 relative density that have been extracted from DP980 steel sheets using micro waterjet cutting, showing good agreement in terms of force-displacement response and surface strain fields. A foam-like structure is built from periodic sheets and the scaling of the elastic properties of the resulting hierarchical 3D metamaterial are discussed.
format	article
author	Julian N. Heidenreich Maysam B. Gorji Thomas Tancogne-Dejean Dirk Mohr
author_facet	Julian N. Heidenreich Maysam B. Gorji Thomas Tancogne-Dejean Dirk Mohr
author_sort	Julian N. Heidenreich
title	Design of isotropic porous plates for use in hierarchical plate-lattices
title_short	Design of isotropic porous plates for use in hierarchical plate-lattices
title_full	Design of isotropic porous plates for use in hierarchical plate-lattices
title_fullStr	Design of isotropic porous plates for use in hierarchical plate-lattices
title_full_unstemmed	Design of isotropic porous plates for use in hierarchical plate-lattices
title_sort	design of isotropic porous plates for use in hierarchical plate-lattices
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/9c93aab7e6464e3c8d7869ccd08d36ca
work_keys_str_mv	AT juliannheidenreich designofisotropicporousplatesforuseinhierarchicalplatelattices AT maysambgorji designofisotropicporousplatesforuseinhierarchicalplatelattices AT thomastancognedejean designofisotropicporousplatesforuseinhierarchicalplatelattices AT dirkmohr designofisotropicporousplatesforuseinhierarchicalplatelattices
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Design of isotropic porous plates for use in hierarchical plate-lattices

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