We consider an isotropic second gradient elastic two-dimensional solid. Besides, we relax the isotropic hypothesis and consider aD4 orthotropicmaterial. The reason for this last choice is that such anisotropy is the most general for pantographic structures, which exhibit attracting mechanical properties. In this paper we analyze the role of the external body double force mext on the partial differential equations and we subsequently revisit some analytical solutions that have been considered in the literature for identification purposes. The revisited analytical solutions will be employed as well for identification purposes in a further contribution.
An inverse method to get further analytical solutions for a class of metamaterials aimed to validate numerical integrations / Placidi, L.; Barchiesi, E.; Battista, A.. - 69:(2017), pp. 193-210. (Intervento presentato al convegno International conference on Emerging Trends in Applied Mathematics and Mechanics, ETAMM 2016 tenutosi a Perpignan (Francia) nel 2016) [10.1007/978-981-10-3764-1_13].
An inverse method to get further analytical solutions for a class of metamaterials aimed to validate numerical integrations
Barchiesi E.;
2017-01-01
Abstract
We consider an isotropic second gradient elastic two-dimensional solid. Besides, we relax the isotropic hypothesis and consider aD4 orthotropicmaterial. The reason for this last choice is that such anisotropy is the most general for pantographic structures, which exhibit attracting mechanical properties. In this paper we analyze the role of the external body double force mext on the partial differential equations and we subsequently revisit some analytical solutions that have been considered in the literature for identification purposes. The revisited analytical solutions will be employed as well for identification purposes in a further contribution.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
