TY - JOUR
T1 - Three-point bending test of pantographic blocks
T2 - numerical and experimental investigation
AU - Yildizdag, M. Erden
AU - Barchiesi, Emilio
AU - dell’Isola, Francesco
N1 - Publisher Copyright:
© The Author(s) 2020.
PY - 2020/10/1
Y1 - 2020/10/1
N2 - 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.
AB - 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.
KW - additive manufacturing
KW - Mechanical metamaterials
KW - pantographic structures
KW - second gradient modeling
KW - three-point bending
UR - http://www.scopus.com/inward/record.url?scp=85084835094&partnerID=8YFLogxK
U2 - 10.1177/1081286520916911
DO - 10.1177/1081286520916911
M3 - Article
AN - SCOPUS:85084835094
SN - 1081-2865
VL - 25
SP - 1965
EP - 1978
JO - Mathematics and Mechanics of Solids
JF - Mathematics and Mechanics of Solids
IS - 10
ER -