Dynamical Vector Fields on Pantographic Sheet: Experimental Observations

Phenomenological aspects of quasi-perfect pivots in metallic pantographic structures

“…Finally, the polyamide printed pantographic structures with perfect pivots [1] have been used in dynamical studies [55][56][57] . Once the problems of precision in the printing of perfect pivots will be overcome, it may be worthwhile that similar studies are also carried out on metal specimens.…”

Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime

“…In a quasi-static loading regime, where inertial terms are negligible, deviation from classical elasticity has been analyzed in ample studies [52][53][54][55]. In the case of a harmonic loading, especially in frequencies where the inertial terms dominate the mechanical response, experimental observations are more recent [56,57]. In [58], a linear second-gradient model is used to model the dynamic behavior of the pantographic structure under harmonic loading.…”

Workshop on Encounter of the third kind on Generalized continua and microstructures in Arpino, 3–7 April 2018: A review of presentations and discussions

“…Pantographic materials [6,7], in this regard, represent the system with the simplest microstructure producing a second gradient energy model in the homogenization limit [8][9][10][11][12][13][14]. This metamaterial, indeed, has been proved to have a macroscopic behaviour that can be successfully forecasted only by means of a generalized elastic theory in both the static [15][16][17][18][19] and dynamical [20][21][22][23][24] regime. The lecture have been followed by several discussions regarding the various modelling approaches to this kind of material (in particular, the so-called Hencky-type models [25][26][27]) and how it represents an effective playground to understand model theory in particular in the framework of biomechanics [28][29][30][31].…”