Comptes Rendus
no. 5
Force–displacement relationship in micro-metric pantographs: Experiments and numerical simulations
Francesco dell'Isola1 ; Emilio Turco2  ; Anil Misra3 ; Zacharias Vangelatos4 ; Costas Grigoropoulos4 ; Vasileia Melissinaki5 ; Maria Farsari5
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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2019.03.015
Mots clés : Micro- and mini-pantographic lattices, Lagrangian models, Nonlinear analysis
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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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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