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PANTOGRAPHIC LATTICES WITH NON-ORTHOGONAL FIBRES: EXPERIMENTS AND THEIR NUMERICAL SIMULATIONS

Abstract : Current research in metamaterials design is pushing to fill the gap between mathematical modelling and technological applications. To meet these requirements predictive and computationally effective numerical tools needs to be conceived and applied. In this paper we describe the performances of a naturally discrete model [1] and those of a second gradient continuum model [2] for pantographic structures with non-orthogonal fibres comparing them with some experimental results. The interest in these structures resides in the exotic behaviour that they have already shown [3] and their study seems promising. The comparison which we present here shows that, depending on the length scale characterising the structural cell of pantographic sheets, either discrete or continuum model performance and/or behaviour may prevail. Some homogenization interesting problems are listed in the conclusions in the hope that they may be rigorously studied with the most advanced mathematical tools.
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https://hal.archives-ouvertes.fr/hal-01443679
Contributor : Emilio Turco Connect in order to contact the contributor
Submitted on : Monday, January 23, 2017 - 12:23:26 PM
Last modification on : Thursday, January 6, 2022 - 5:30:02 PM
Long-term archiving on: : Monday, April 24, 2017 - 1:09:28 PM

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Turco2016compB.pdf
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  • HAL Id : hal-01443679, version 1

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Emilio Turco, Maciej Golaszewski, Ivan Giorgio, Francesco D 'Annibale. PANTOGRAPHIC LATTICES WITH NON-ORTHOGONAL FIBRES: EXPERIMENTS AND THEIR NUMERICAL SIMULATIONS. 2017. ⟨hal-01443679⟩

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