Book contents
- Network Materials
- Network Materials
- Copyright page
- Contents
- Preface
- 1 Introduction
- 2 Fibers and Fiber Bundles
- 3 Fiber Interactions
- 4 Network Structure and Geometric Parameters
- 5 Affine Deformation
- 6 Mechanical Behavior and Relation to Structural Parameters
- 7 Constitutive Formulations for Network Materials
- 8 Strength and Toughness of Network Materials
- 9 Time Dependent Behavior
- 10 Networks with Fiber Surface Interactions
- 11 Composite Networks
- Index
- References
3 - Fiber Interactions
Published online by Cambridge University Press: 15 September 2022
Book contents
- Network Materials
- Network Materials
- Copyright page
- Contents
- Preface
- 1 Introduction
- 2 Fibers and Fiber Bundles
- 3 Fiber Interactions
- 4 Network Structure and Geometric Parameters
- 5 Affine Deformation
- 6 Mechanical Behavior and Relation to Structural Parameters
- 7 Constitutive Formulations for Network Materials
- 8 Strength and Toughness of Network Materials
- 9 Time Dependent Behavior
- 10 Networks with Fiber Surface Interactions
- 11 Composite Networks
- Index
- References
Summary
This chapter presents results related to the interaction of fibers. In networks, fibers form crosslinks and develop contacts. The mechanical behavior of the crosslinks between athermal fibers and between thermal filaments is discussed, with emphasis on crosslink failure and strength. Contacts between fibers form either along the fiber length, within bundles of parallel fibers, or at specific sites where fibers cross at an angle. The mechanics of elastic contacts with and without cohesive interactions between fibers is reviewed. Sliding of fibers in contact is often encountered in networks and friction has strong effects on network mechanics. Several results related to friction at elastic contacts are reviewed.
Keywords
- Type
- Chapter
- Information
- Network MaterialsStructure and Properties, pp. 74 - 94Publisher: Cambridge University PressPrint publication year: 2022
References
Balkenende, D. W. R., Coulibaly, S., Balog, S., et al. (2014). Mechanochemistry with metallosupramolecular polymers. J. Am. Chem. Soc. 136, 10493–10498.Google Scholar
Barquins, M. (1988). Adherence and rolling kinetics of a rigid cylinder in contact with a natural rubber surface. J. Adhesion 26, 1–12.CrossRefGoogle Scholar
Berhan, L. & Sastry, A. M. (2003). On modeling bonds in fused porous networks: 3D simulations of fibrous-particulate joints. J. Comp. Mater. 37, 715–740.Google Scholar
Borodulina, S., Motamedian, H. R. & Kulachenko, A. (2016). Effect of fiber and bond strength variations on the tensile stiffness and strength of fiber networks. Int. J. Sol. Struct. 154, 19–32.Google Scholar
Chen, N. & Silberstein, M. N. (2018). Determination of bond strengths in non-woven fabrics: A combined experimental and computational approach. Exp. Mech. 58, 343–355.Google Scholar
Das, D. & Chasiotis, I. (2020). Sliding of adhesive nanoscale polymer contacts. J. Mech. Phys. Sol. 140, 103931.Google Scholar
Deogekar, S., Islam, M. R. & Picu, R. C. (2019). Parameters controlling the strength of random fiber networks. Int. J. Sol. Struct. 168, 194–202.CrossRefGoogle Scholar
Deogekar, S. & Picu, R. C. (2018). On the strength of random fiber networks. J. Mech. Phys. Sol. 116, 1–16.Google Scholar
Derjaguin, B. V., Muller, V. M. & Toporov, Y. P. (1994). Effect of contact deformations on the adhesion of particles. Prog. Surf. Sci. 45, 131–143.CrossRefGoogle Scholar
DiDonna, B. A. & Levine, A. J. (2006). Filamin cross-linked semiflexible networks: Fragility under strain. Phys. Rev. Lett. 97, 068104.Google Scholar
Heyden, S. & Gustafsson, P. J. (1998). Simulation of fracture in a cellulose fibre network. J. Pulp Paper Sci. 24, 160–165.Google Scholar
Israelachvili, J. (1987). Direct measurements of forces between surfaces in liquids at the molecular level. Proc. Natl Acad. Sci. USA 84, 4722–4724.CrossRefGoogle Scholar
Johnson, K. L. & Greenwood, J. A. (2005). An approximate JKR theory for elliptical contacts. J. Phys. D 38, 1042–1046.CrossRefGoogle Scholar
Johnson, K. L. & Greenwood, J. A. (2008). A Maugis analysis of adhesive line contact. J. Phys. D 41, 155315.CrossRefGoogle Scholar
Johnson, K. L., Kendall, K. & Roberts, A. D. (1971). Surface energy and the contact of elastic solids. Proc. R. Soc. London A 324, 301–313.Google Scholar
Kasza, K. E., Koenderink, G. E., Lin, Y. C., et al. (2009). Nonlinear elasticity of stiff biopolymers connected by flexible linkers. Phys. Rev. E 79, 041928.Google Scholar
Kloxin, C. J. & Bowman, C. N. (2013). Covalent adaptable networks: Smart, reconfigurable and responsive network systems. Chem. Soc. Rev. 42, 7161–7173.Google Scholar
Magnusson, M. S. (2016). Investigation of interfibre joint failure and how to tailor their properties for paper strength. Nord. Pulp Pap. Res. J. 31, 109–122.Google Scholar
Magnusson, M. S. & Ostlund, S. (2013). Numerical evaluation of interfibre joint strength measurements in terms of three-dimensional resultant forces and moments. Cellulose 20, 1691–1710.CrossRefGoogle Scholar
Magnusson, M. S., Zhang, X. & Ostlund, S. (2013). Experimental evaluation of the interfibre joint strength of papermaking fibres in terms of manufacturing parameters and in two different loading directions. Exper. Mech. 53, 1621–1634.Google Scholar
Maugis, D (1992). Adhesion of spheres: The JKR–DMT transition using a Dugdale model. J. Colloid Interface Sci. 150, 243–269.Google Scholar
Parker, J. L., Christenson, H. K. & Ninham, B. W. (1989). Device for measuring the force and separation between two surfaces down to molecular separations. Rev. Sci. Instrum. 60, 3135–3138.Google Scholar
Schmied, F. J., Teichert, C., Kappel, L., et al. (2013). What holds paper together: Nanometre scale exploration of bonding between paper fibres. Sci. Reports 3, 2432.Google Scholar
Schmied, F. J., Teichert, C., Kappel, L., Hirn, U. & Schennach, R. (2012). Joint strength measurements of individual fiber–fiber bonds: An atomic force microscopy based method. Rev. Sci. Instrum. 83, 073902.CrossRefGoogle ScholarPubMed
Schwaiger, I., Kardinal, A., Schleicher, M., Noegel, A. A. & Rief, M. (2004). A mechanical unfolding intermediate in an actin-crosslinking protein. Nat. Struct. Mol. Biol. 11, 81–85.Google Scholar
Shi, Q., Wong, S. C., Ye, W., et al. (2012). Mechanism of adhesion between polymer fibers at nanoscale contacts. Langmuir 28, 4663–4671.Google Scholar
Tabor, D. (1977). Surface forces and surface interactions. J. Colloid Interface Sci. 58, 2–13.Google Scholar
Thompson, Z. J., Hillmyer, M. A., Liu, J., et al. (2009). Block copolymer toughened epoxy: Role of cross-link density. Macromolecules 42, 2333–2335.Google Scholar
Ward, A., Hilitski, F., Schwenger, W., et al. (2015). Solid friction between soft filaments. Nature Mater. 14, 583–588.Google Scholar
Zagar, G., Onck, P. R. & van der Giessen, E. (2015). Two fundamental mechanisms govern the stiffening of cross-linked networks. Biophys. J. 108, 1470–1479.Google Scholar
Zini, N. H. M., de Rooij, M. B., Fadafan, M. B. A., Ismail, N. & Schipper, D. J. (2018). Extending the double-Hertz model to allow modeling of an adhesive elliptical contact. Tribol. Lett. 66, 30–43.Google Scholar