Hyperelastic or Hypoelastic Granular Circular Chain Instability in a Geometrically Exact Framework - INRAE - Institut national de recherche pour l’agriculture, l’alimentation et l’environnement Access content directly
Journal Articles Journal of Engineering Mechanics - ASCE Year : 2022

Hyperelastic or Hypoelastic Granular Circular Chain Instability in a Geometrically Exact Framework

Abstract

This paper investigates several granular interaction laws used in the modeling of discrete granular media. In the considered model, each grain interacts with its neighbors with a coupled shear-normal interaction law. The analysis is performed in a geometrically exact framework allowing large rotation and displacement evolutions, without any geometrical approximations. It is shown that most of the granular interaction laws available in the literature are classified as hypoelastic interaction laws, and we precise the requirements to build some hyperelastic interaction laws that avoid artificial dissipation. We also show that the uncoupled granular interaction law is hyperelastic for all the studied models. The analysis is applied to a paradigmatic elementary system of a granular loop with a diamond pattern (a four-grain cyclic granular chain) loaded by concentrated forces. Instabilities are observed for large displacement of the diamond chain for all the classified models. It is observed that the discrepancies between each model may grow during the deformation process. The instability phenomenon is associated with the appearance of a limit load for this granular structural problem due to large nonlinear geometrical effects. Blocking phenomena may also appear for such granular structural systems due to secondary granular contacts.
Fichier principal
Vignette du fichier
2022_Challamel_J_Eng_Mech.pdf (1.27 Mo) Télécharger le fichier
Origin Publisher files allowed on an open archive
Licence

Dates and versions

hal-04012052 , version 1 (02-03-2023)

Licence

Identifiers

Cite

Noël Challamel, François Nicot, Antoine Wautier, Félix Darve, Jean Lerbet. Hyperelastic or Hypoelastic Granular Circular Chain Instability in a Geometrically Exact Framework. Journal of Engineering Mechanics - ASCE, 2022, 148 (9), pp.04022053. ⟨10.1061/(ASCE)EM.1943-7889.0002139⟩. ⟨hal-04012052⟩
20 View
33 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More