Softening in random networks of non-identical beams

Ehsan Ban, Victor H Barocas, Mark S. Shephard, R. Catalin Picu

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Random fiber networks are assemblies of elastic elements connected in random configurations. They are used as models for a broad range of fibrous materials including biopolymer gels and synthetic nonwovens. Although the mechanics of networks made from the same type of fibers has been studied extensively, the behavior of composite systems of fibers with different properties has received less attention. In this work we numerically and theoretically study random networks of beams and springs of different mechanical properties. We observe that the overall network stiffness decreases on average as the variability of fiber stiffness increases, at constant mean fiber stiffness. Numerical results and analytical arguments show that for small variabilities in fiber stiffness the amount of network softening scales linearly with the variance of the fiber stiffness distribution. This result holds for any beam structure and is expected to apply to a broad range of materials including cellular solids.

Original languageEnglish (US)
Pages (from-to)38-50
Number of pages13
JournalJournal of the Mechanics and Physics of Solids
Volume87
DOIs
StatePublished - Feb 1 2016

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softening
fibers
Fibers
stiffness
Stiffness
Biopolymers
biopolymers
Large scale systems
foams
Mechanics
assemblies
Gels
Mechanical properties
gels
mechanical properties
composite materials
configurations

Keywords

  • Beam Structures
  • Elastic Materials
  • Heterogeneous Materials
  • Microstructures
  • Probability and Statistics

Cite this

Softening in random networks of non-identical beams. / Ban, Ehsan; Barocas, Victor H; Shephard, Mark S.; Picu, R. Catalin.

In: Journal of the Mechanics and Physics of Solids, Vol. 87, 01.02.2016, p. 38-50.

Research output: Contribution to journalArticle

Ban, Ehsan ; Barocas, Victor H ; Shephard, Mark S. ; Picu, R. Catalin. / Softening in random networks of non-identical beams. In: Journal of the Mechanics and Physics of Solids. 2016 ; Vol. 87. pp. 38-50.
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