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

Abstract

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.

Bone Remodeling Process Based on Hydrostatic and Deviatoric Strain Mechano-Sensing

“…We can formulate Hooke’s law to define the stress tensor as a linear combination of the volumetric and deviatoric strain tensors: where K is the bulk modulus and G is the shear modulus. From Equation ( 1 ), it is possible then to recognize the two contributions to the stress, namely the hydrostatic: and shear or deviatoric part: This formulation can be generalized by using mechanical micromorphic [ 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 , 56 ], micropolar [ 57 , 58 , 59 , 60 ], higher-order [ 61 , 62 , 63 , 64 , 65 , 66 , 67 , 68 , 69 , 70 ], or peridynamic [ 71 , 72 , 73 , 74 ] models. As an opening move, the stiffnesses can be evaluated starting with the knowledge of the engineering parameters, Young’s modulus Y , and Poisson’s ratio as follows: since they are more str...…”

Maestro and his pupils: History of a scientific production

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An updated Lagrangian Bézier finite element formulation for the analysis of slender beams

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