Identification and validation of constitutive parameters of a Hencky-type discrete model via experiments on millimetric pantographic unit cells - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal of Non-Linear Mechanics Année : 2023

Identification and validation of constitutive parameters of a Hencky-type discrete model via experiments on millimetric pantographic unit cells

Résumé

Pantographic metamaterial design benefits from model identification procedures starting from what can be considered as the elementary unit cell of larger pantographic structures. Results from a tensile experiment and digital image correlation are utilized to identify the constitutive parameters of a discrete Hencky-type model for a millimetric pantographic cell. In the performed calibration, two different cost functions are formulated. First, the cost function is based upon measured resultant forces on the specimen boundaries. Then, the second cost function is based upon the measured pivot displacements in addition to reaction forces. The second cost functions thus exploits the pivot kinematics, which is a key feature of the deformation of pantographic structures. The identified model is further validated by predicting the reaction forces and pivot displacements of the same specimen subjected to compression. It is shown that the identification with the cost function incorporating pivot displacements is superior. It is also noted that the calibrated parameters deviate considerably from their initial guess derived from the linear Saint Venant problem, thereby indicating microscale nonlinear affects in otherwise linear reaction force-prescribed displacement responses at the macroscale.
Fichier principal
Vignette du fichier
IJNLM2023-cssd.pdf (9.92 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04079561 , version 1 (24-04-2023)

Identifiants

Citer

Michele De Angelo, Nurettin Yilmaz, M. Erden Yildizdag, Anil Misra, François Hild, et al.. Identification and validation of constitutive parameters of a Hencky-type discrete model via experiments on millimetric pantographic unit cells. International Journal of Non-Linear Mechanics, 2023, pp.104419. ⟨10.1016/j.ijnonlinmec.2023.104419⟩. ⟨hal-04079561⟩
11 Consultations
12 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More