Force–displacement relationship in micro-metric pantographs: Experiments and numerical simulations

Francesco dell'Isola; Emilio Turco; Anil Misra; Zacharias Vangelatos; Costas Grigoropoulos; Vasileia Melissinaki; Maria Farsari

doi:10.1016/j.crme.2019.03.015

Force–displacement relationship in micro-metric pantographs: Experiments and numerical simulations

Francesco dell'Isola ¹; Emilio Turco ² ; Anil Misra ³; Zacharias Vangelatos ⁴; Costas Grigoropoulos ⁴; Vasileia Melissinaki ⁵; Maria Farsari ⁵

¹ Department of Structural and Geotechnical Engineering, University of Rome “La Sapienza”, Italy
² Department of Architecture, Design and Urban planning, University of Sassari, Italy
³ Department of Civil, Environmental and Architectural Engineering, The University of Kansas, USA
⁴ Department of Mechanical Engineering, University of California, Berkeley, USA
⁵ IESL-FORTH, Crete, Greece

Comptes Rendus. Mécanique, Volume 347 (2019) no. 5, pp. 397-405.

Abstract

In this paper, we reveal that the mathematical discrete model of Hencky type, introduced in [1], is appropriate for describing the mechanical behavior of micro-metric pantographic elementary modules. This behavior does not differ remarkably from what has been observed for milli-metric modules, as we prove with suitably designed experiments. Therefore, we conclude that the concept of pantographic microstructure seems feasible for micro-metrically architected microstructured (meta)materials as well. These results are particularly indicative of the possibility of fabricating materials that can have an underlying pantographic microstructure at micrometric scale, so that its unique behavior can be exploited in a larger range of technological applications.

Received: 2019-01-22
Accepted: 2019-03-23
Published online: 2019-04-19

DOI: 10.1016/j.crme.2019.03.015

Keywords: Micro- and mini-pantographic lattices, Lagrangian models, Nonlinear analysis

Author's affiliations:

Francesco dell'Isola ¹; Emilio Turco ²; Anil Misra ³; Zacharias Vangelatos ⁴; Costas Grigoropoulos ⁴; Vasileia Melissinaki ⁵; Maria Farsari ⁵

¹ Department of Structural and Geotechnical Engineering, University of Rome “La Sapienza”, Italy
² Department of Architecture, Design and Urban planning, University of Sassari, Italy
³ Department of Civil, Environmental and Architectural Engineering, The University of Kansas, USA
⁴ Department of Mechanical Engineering, University of California, Berkeley, USA
⁵ IESL-FORTH, Crete, Greece

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     author = {Francesco dell'Isola and Emilio Turco and Anil Misra and Zacharias Vangelatos and Costas Grigoropoulos and Vasileia Melissinaki and Maria Farsari},
     title = {Force{\textendash}displacement relationship in micro-metric pantographs: {Experiments} and numerical simulations},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {397--405},
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     doi = {10.1016/j.crme.2019.03.015},
     language = {en},
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Francesco dell'Isola; Emilio Turco; Anil Misra; Zacharias Vangelatos; Costas Grigoropoulos; Vasileia Melissinaki; Maria Farsari. Force–displacement relationship in micro-metric pantographs: Experiments and numerical simulations. Comptes Rendus. Mécanique, Volume 347 (2019) no. 5, pp. 397-405. doi : 10.1016/j.crme.2019.03.015. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.03.015/

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