Structural Properties of Stiff Elastic Networks

Details Structural Properties of Stiff Elastic Networks Structural Properties of Stiff Elastic Networks

2008-05-30

arxiv.org/abs/0805.4712v2

Europhysics Letters (EPL) 87 (2009) 24001

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1209/0295-5075/87/24001

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.

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