Heuristic Homogenization of Euler and Pantographic Beams - Archive ouverte HAL Access content directly
Journal Articles Mechanics of Fibrous Materials and Applications Year : 2020

Heuristic Homogenization of Euler and Pantographic Beams

Abstract

In the present contribution, we address the following problem: is it possible to find a microstructure producing, at the macro-level and under loads of the same order of magnitude, a beam which can be both extensible and flexible? Using an asymptotic expansion and rescaling suitably the involved stiffnesses, we prove that a pantographic microstructure does induce, at the macro-level, the aforementioned desired mechanical behavior. Thus, in an analogous fashion to that of variational asymptotic methods, and following a mathematical approach resembling that used by Piola, we have employed asymptotic expansions of kinematic descriptors directly into the postulated energy functional and a heuristic homogenization procedure is presented and applied to the cases of Euler and pantographic beams.
Fichier principal
Vignette du fichier
placidi_dellisola_barchiesi.pdf (1007.35 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02470313 , version 1 (07-02-2020)

Identifiers

  • HAL Id : hal-02470313 , version 1

Cite

Luca Placidi, Francesco Dell'Isola, Emilio Barchiesi. Heuristic Homogenization of Euler and Pantographic Beams. Mechanics of Fibrous Materials and Applications, 2020, pp.123-155. ⟨hal-02470313⟩
35 View
116 Download

Share

Gmail Facebook X LinkedIn More