Lattice models in micromechanics

M Ostoja-Starzewski - Appl. Mech. Rev., 2002 - asmedigitalcollection.asme.org
This review presents the potential that lattice (or spring network) models hold for
micromechanics applications. The models have their origin in the atomistic representations …

Mechanics of random fiber networks—a review

RC Picu - Soft Matter, 2011 - pubs.rsc.org
This article presents a review of the current understanding of the mechanics of random fiber
networks. The discussion refers to athermal fiber networks, for which the governing …

Deformation of cross-linked semiflexible polymer networks

DA Head, AJ Levine, FC MacKintosh - Physical review letters, 2003 - APS
Networks of filamentous proteins play a crucial role in cell mechanics. These cytoskeletal
networks, together with various cross-linking and other associated proteins largely …

Distinct regimes of elastic response and deformation modes of cross-linked cytoskeletal and semiflexible polymer networks

DA Head, AJ Levine, FC MacKintosh - Physical Review E, 2003 - APS
Semiflexible polymers such as filamentous actin (F-actin) play a vital role in the mechanical
behavior of cells, yet the basic properties of cross-linked F-actin networks remain poorly …

Non-linear and non-local transport processes in heterogeneous media: from long-range correlated percolation to fracture and materials breakdown

M Sahimi - Physics Reports, 1998 - Elsevier
We review and discuss recent progress in modelling non-linear and non-local transport
processes in heterogeneous media. The non-locality that we consider is caused by long …

Floppy modes and nonaffine deformations in random fiber networks

C Heussinger, E Frey - Physical review letters, 2006 - APS
We study the elasticity of random fiber networks. Starting from a microscopic picture of the
nonaffine deformation fields, we calculate the macroscopic elastic moduli both in a scaling …

Stiffness threshold of randomly distributed carbon nanotube networks

Y Chen, F Pan, Z Guo, B Liu, J Zhang - … of the Mechanics and Physics of …, 2015 - Elsevier
For carbon nanotube (CNT) networks, with increasing network density, there may be sudden
changes in the properties, such as the sudden change in electrical conductivity at the …

[HTML][HTML] Size effect on mechanical behavior of random fiber networks

AS Shahsavari, RC Picu - International Journal of Solids and Structures, 2013 - Elsevier
Bonded random fiber networks are heterogeneous on multiple scales. This leads to a
pronounced size effect on their mechanical behavior. In this study we quantify the size effect …

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 …

The maximal advance path constraint for the homogenization of materials with random network microstructure

M Tkachuk, C Linder - Philosophical Magazine, 2012 - Taylor & Francis
This paper presents a non-affine homogenization scheme for materials with a random
network microstructure. It is based on a newly developed kinematic constraint that links the …