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Mechanics of Random Fiber Networks: Structure–Properties Relation

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Mechanics of Fibrous Materials and Applications

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 596))

Abstract

This chapter presents an overview of the mechanics of random fiber networks with emphasis on the structure–properties relationship. The discussion begins with a classification of the types of fibers, including thermal and athermal fibers, and the types of crosslinks commonly encountered in engineered and biological networks. Further, a classification of networks is presented. The parameters used to describe the network structure are introduced along with geometric relations between quantities such as the density, mean fiber segment length, and crosslink density. The large strains behavior of networks measured in tension and compression, as revealed by models and experiments performed with various types of network materials, is presented. This is characterized by strong non-linearity, large sensitivity of the overall response to network structural parameters, and a large Poisson effect. The strength of networks is discussed in the context of structures with and without pre-existing cracks. It is shown that the strength is independent of the fiber properties and depends on the density and strength of the crosslinks, as well as on the mean fiber segment length. Finally, the structure and mechanical behavior of networks with inter-fiber adhesive interactions are evaluated. These are controlled by the strength of adhesion. In networks with strong adhesion and relatively thin fibers, the fibers self-organize leading to the formation of a cellular network of fiber bundles. Such cellular networks are stable and have a mechanical behavior qualitatively similar to that of crosslinked networks of individual fibers. This discussion demonstrates the broad range of mechanical behaviors that can be obtained with various network structures, hinting to the usefulness of fiber networks in many applications.

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  1. Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY, 12180, USA

    Catalin R. Picu

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Correspondence to Catalin R. Picu .

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  1. Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, MI, USA

    Catalin Picu

  2. LEM3 - CNRS, Université de Lorraine, Vandœuvre-lès-Nancy, France

    Jean-François Ganghoffer

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© 2020 CISM International Centre for Mechanical Sciences

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Picu, C.R. (2020). Mechanics of Random Fiber Networks: Structure–Properties Relation. In: Picu, C., Ganghoffer, JF. (eds) Mechanics of Fibrous Materials and Applications. CISM International Centre for Mechanical Sciences, vol 596. Springer, Cham. https://doi.org/10.1007/978-3-030-23846-9_1

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  • DOI: https://doi.org/10.1007/978-3-030-23846-9_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-23845-2

  • Online ISBN: 978-3-030-23846-9

  • eBook Packages: EngineeringEngineering (R0)

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