Mechanics and design of topologically interlocked irregular quadrilateral tessellations

Topologically Interlocked Material (TIM) systems are assemblies of individual building blocks shaped such that individual elements cannot be removed from the assembly with disassembly of the entire system. Here, TIM systems based on irregular quadrilateral square tessellations are considered. The me...

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Autores principales:	Dong Young Kim, Thomas Siegmund
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Architectured material systems Irregular tessellations Mechanical properties Design of material systems Network analysis Materials of engineering and construction. Mechanics of materials TA401-492
Acceso en línea:	https://doaj.org/article/e08553e8b2084094ace04fee2101f2e7
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id	oai:doaj.org-article:e08553e8b2084094ace04fee2101f2e7
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spelling	oai:doaj.org-article:e08553e8b2084094ace04fee2101f2e72021-12-02T04:59:00ZMechanics and design of topologically interlocked irregular quadrilateral tessellations0264-127510.1016/j.matdes.2021.110155https://doaj.org/article/e08553e8b2084094ace04fee2101f2e72021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0264127521007103https://doaj.org/toc/0264-1275Topologically Interlocked Material (TIM) systems are assemblies of individual building blocks shaped such that individual elements cannot be removed from the assembly with disassembly of the entire system. Here, TIM systems based on irregular quadrilateral square tessellations are considered. The mechanical properties of such TIM assemblies are investigated and compared to those of the periodic reference TIM system. Finite element computations are performed to obtain force - deflection curves and to extract stiffness, strength, and toughness. We discover that a significant fraction (about 30%) of all randomly generated architectures possess properties exceeding those of the TIM with an underlying regular tessellation. We validate this finding by experiments on 3D printed physical realizations. Design parameters to represent the mechanical properties are studied by the use of Pearson correlation coefficients. In this process, dominant variables are determined and regression models for the properties are defined from the underlying design variables. By considering the dominant variables, network patterns in the assembly are discovered, which are strongly associated with each of the mechanical properties. The findings of this study enable the design of architectured material systems with exceptional stiffness-strength-toughness combinations.Dong Young KimThomas SiegmundElsevierarticleArchitectured material systemsIrregular tessellationsMechanical propertiesDesign of material systemsNetwork analysisMaterials of engineering and construction. Mechanics of materialsTA401-492ENMaterials & Design, Vol 212, Iss , Pp 110155- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Architectured material systems Irregular tessellations Mechanical properties Design of material systems Network analysis Materials of engineering and construction. Mechanics of materials TA401-492
spellingShingle	Architectured material systems Irregular tessellations Mechanical properties Design of material systems Network analysis Materials of engineering and construction. Mechanics of materials TA401-492 Dong Young Kim Thomas Siegmund Mechanics and design of topologically interlocked irregular quadrilateral tessellations
description	Topologically Interlocked Material (TIM) systems are assemblies of individual building blocks shaped such that individual elements cannot be removed from the assembly with disassembly of the entire system. Here, TIM systems based on irregular quadrilateral square tessellations are considered. The mechanical properties of such TIM assemblies are investigated and compared to those of the periodic reference TIM system. Finite element computations are performed to obtain force - deflection curves and to extract stiffness, strength, and toughness. We discover that a significant fraction (about 30%) of all randomly generated architectures possess properties exceeding those of the TIM with an underlying regular tessellation. We validate this finding by experiments on 3D printed physical realizations. Design parameters to represent the mechanical properties are studied by the use of Pearson correlation coefficients. In this process, dominant variables are determined and regression models for the properties are defined from the underlying design variables. By considering the dominant variables, network patterns in the assembly are discovered, which are strongly associated with each of the mechanical properties. The findings of this study enable the design of architectured material systems with exceptional stiffness-strength-toughness combinations.
format	article
author	Dong Young Kim Thomas Siegmund
author_facet	Dong Young Kim Thomas Siegmund
author_sort	Dong Young Kim
title	Mechanics and design of topologically interlocked irregular quadrilateral tessellations
title_short	Mechanics and design of topologically interlocked irregular quadrilateral tessellations
title_full	Mechanics and design of topologically interlocked irregular quadrilateral tessellations
title_fullStr	Mechanics and design of topologically interlocked irregular quadrilateral tessellations
title_full_unstemmed	Mechanics and design of topologically interlocked irregular quadrilateral tessellations
title_sort	mechanics and design of topologically interlocked irregular quadrilateral tessellations
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/e08553e8b2084094ace04fee2101f2e7
work_keys_str_mv	AT dongyoungkim mechanicsanddesignoftopologicallyinterlockedirregularquadrilateraltessellations AT thomassiegmund mechanicsanddesignoftopologicallyinterlockedirregularquadrilateraltessellations
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Mechanics and design of topologically interlocked irregular quadrilateral tessellations

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