Structural Properties of Stiff Elastic Networks
Abstract
Networks of elastic beams can deform either by stretching or bending of their members. The primary mode of deformation (bending or stretching) crucially depends on the specific details of the network architecture. In order to shed light on the relationship between microscopic geometry and macroscopic mechanics, we characterize the structural features of networks which deform uniformly, through the stretching of the beams only. We provide a convenient set of geometrical criteria to identify such networks, and derive the values of their effective elastic moduli. The analysis of these criteria elucidates the variability of mechanical response of elastic networks. In particular, our study rationalizes the difference in mechanical behavior of cellular and fiber networks.
Keywords
Cite
@article{arxiv.1609.06989,
title = {Structural Properties of Stiff Elastic Networks},
author = {Gérald Gurtner and Marc Durand},
journal= {arXiv preprint arXiv:1609.06989},
year = {2016}
}
Comments
v2 version of arXiv:0805.4712 was misplaced, as it correponds to a different work and different publication from v1 and v3 versions. This new submission correponds to the work originally published in arXiv:0805.4712v2