Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models

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Mechanical metamaterials: a state of the art (2019, background): “[134] report on a pantographic sheet discrete model.”
Strain gradient and generalized continua obtained by homogenizing frame lattices (2018, methodology): “…homogenization techniques [Rahali et al. 2015; Seppecher et al. 2011; Madeo et al. 2017], (cid:48) -convergence tools [Alibert et al. 2003; Alibert and Della Corte 2015], numerical simulations [Giorgio 2016; Turco et al. 2016a], and even experiments [dell’Isola et al. 2016a; Turco et al. 2016b].”
Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis (2017, methodology): “To solve the problem in a more e � cient way, ad hoc codes can be implemented by using an isogeometric formulation [45–47] or discrete Hencky-type systems based on the geometry of the microstructure as done in [48–50].”
Pantographic metamaterials: an example of mathematically driven design and of its technological challenges (2018, methodology): “Numerical simulationswith both discrete andhomogenizedmodels show that the homogenizedmodel is representative of the microscopic response [42,43].”