Stiffest elastic networks

G Gurtner, M Durand - Proceedings of the Royal Society …, 2014 - royalsocietypublishing.org
The rigidity of a network of elastic beams is closely related to its microstructure. We show
both numerically and theoretically that there is a class of isotropic networks, which are stiffer …

Mechanics of elastic networks

AN Norris - Proceedings of the Royal Society A …, 2014 - royalsocietypublishing.org
We consider a periodic lattice structure in d= 2 or 3 dimensions with unit cell comprising Z
thin elastic members emanating from a similarly situated central node. A general theoretical …

Elastic networks to model auxetic properties of cellular materials

IE Berinskii - International Journal of Mechanical Sciences, 2016 - Elsevier
Elastic networks model that is used to model a class of two-dimensional cellular structures
including re-entrant and regular honeycombs is considered. Two mechanical parameters …

Elasticity of a filamentous kagome lattice

X Mao, O Stenull, TC Lubensky - … Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
The diluted kagome lattice, in which bonds are randomly removed with probability 1− p,
consists of straight lines that intersect at points with a maximum coordination number of 4. If …

[HTML][HTML] The family of elastically isotropic stretching-dominated cubic truss lattices

Q Ma, Z Yan, L Zhang, MY Wang - International Journal of Solids and …, 2022 - Elsevier
We present a family of elastically isotropic stretching-dominated cubic truss lattices. Their
Young's, shear, bulk moduli approach nearly 1/3 of the theoretical Hashin-Shtrikman upper …

[HTML][HTML] Geometry: The leading parameter for the Poisson's ratio of bending-dominated cellular solids

H Mitschke, F Schury, K Mecke, F Wein, M Stingl… - International Journal of …, 2016 - Elsevier
Control over the deformation behaviour that a cellular structure shows in response to
imposed external forces is a requirement for the effective design of mechanical …

Combing a double helix

TB Plumb-Reyes, N Charles, L Mahadevan - Soft Matter, 2022 - pubs.rsc.org
Combing hair involves brushing away the topological tangles in a collective curl, defined as
a bundle of interacting elastic filaments. Using a combination of experiment and …

Experimental investigation of the mechanical stiffness of periodic framework-patterned elastomers

N Francois, T Arnoux, L Garcia… - … of the Royal …, 2014 - royalsocietypublishing.org
Recent advances in the cataloguing of three-dimensional nets mean a systematic search for
framework structures with specific properties is now feasible. Theoretical arguments about …

Mechanics in leaf venation morphogenesis and their biomimetic inspiration to construct a 2-dimensional reinforcement layout model

YX Li, K Xue - Journal of Biomimetics, Biomaterials and Tissue …, 2011 - Trans Tech Publ
This paper concerns biomimetic exploration of the leaf rib layout problem. Biological
venation of organisms is observed to be similar to reinforced plate/shell systems. Similarity …

The mechanics of phantom Mikado networks

DL Humphries, JA Grogan… - Journal of Physics …, 2018 - iopscience.iop.org
The elasticity of networks comprised of semi-flexible polymers plays a vital role in regulating
the mechanics of both intra-and extra-cellular matrices. The behaviour of this polymer …