Construction of micropolar continua from the asymptotic homogenization of beam lattices

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Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models (2016, background): “On the other hand, the particular class of microstructured mechanical systems which present high contrast in microscopic properties once homogenized has been shown to produce generalized continua in [46–53].”
Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices (2015, methodology): “Classical homogenization of such structures with a discrete topology towards an equivalent Cauchy continuum has been an active research field since many years, and several methods have been developed over the last two decades to find an effective continuum (Bornet, Bretheau, & Gilormini, 2001; Chesn”