Three-point bending test of pantographic blocks: numerical and experimental investigation

M. Erden Yildizdag (1, 2) , Emilio Barchiesi (2) , Francesco Dell'Isola (2, 3)

1 Department of Naval Architecture and Ocean Engineering, Istanbul Technical University, Maslak, Istanbul, Turkey
2 M&MoCS - International Research Centre on Mathematics & Mechanics of Complex Systems
3 DICEAA - Dipartimento di Ingegneria Civile, Edile-Architettura, Ambientale

The equilibrium forms of pantographic blocks in a three-point bending test are investigated via both experiments and numerical simulations. In the computational part, the corresponding minimization problem is solved with a deformation energy derived by homogenization within a class of admissible solutions. To evaluate the numerical simulations, series of measurements have been carried out with a suitable experimental setup guided by the acquired theoretical knowledge. The observed experimental issues have been resolved to give a robust comparison between the numerical and experimental results. Promising agreement between theoretical predictions and experimental results is demonstrated for the planar deformation of pantographic blocks.

Mots clés: Mechanical metamaterials; pantographic structures; three-point bending; second gradient modeling; additive manufacturing

Domaines: Mécanique [physics]

M. Erden Yildizdag, Emilio Barchiesi, Francesco Dell'Isola. Three-point bending test of pantographic blocks: numerical and experimental investigation. Mathematics and Mechanics of Solids, 2020, 14 p. ⟨hal-02914321⟩