In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results

Emilio Turco (1, 2) , Emilio Barchiesi (3, 1, 4) , Francesco Dell'Isola (5, 2)

1 UNISS - Università degli Studi di Sassari = University of Sassari [Sassari]
2 M&MoCS - International Research Centre on Mathematics & Mechanics of Complex Systems
3 ENIB - École Nationale d'Ingénieurs de Brest
4 ULIMA - Universidad de Lima
5 UNIVAQ - Università degli Studi dell'Aquila = University of L'Aquila

In this contribution, a previously introduced discrete model for studying the statics of duoskelion beam-like structures is extended to dynamics. The results of numerical simulations performed using such an extended model are reported to discuss the in-plane dynamic buckling of duoskelion structures under different loading and kinematic boundary conditions. The core instrument of the analysis is a discrete beam element, which, in addition to flexure, also accounts for extension and shearing deformations. Working in the setting of dynamics, inertial contributions are taken into account as well. A stepwise time integration scheme is employed to reconstruct the complete trajectory of the system, namely before and after buckling. It is concluded that the duoskelion structure exhibits exotic features compared with classical beam-like structures modeled at macro-scale by Euler-Bernoulli's model.

Mots clés: Mechanics of metamaterials; discrete models; dynamic nonlinear analysis; stepwise analysis; duoskelion structures

Domaines: Mécanique des matériaux [physics.class-ph]

Emilio Turco, Emilio Barchiesi, Francesco Dell'Isola. In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results. Mathematics and Mechanics of Solids, 2021, 27 (7), pp.1164 - 1184. ⟨10.1177/10812865211059220⟩. ⟨hal-03737046⟩