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Small Strain Topological Effects of Biopolymer Networks with Rigid Cross-Links

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IUTAM Symposium on Cellular, Molecular and Tissue Mechanics

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 16))

Abstract

Networks of cross-linked filamentous biopolymers form topological structures characterized by L, T and X cross-link types of connectivity 2, 3 and 4, respectively. The distribution of cross-links over these three types proofs to be very important for the initial elastic shear stiffness of isotropic rigidly cross-linked biopolymer networks. After proper scaling of this stiffness, we identify the topological function \(f(\mathcal{T} ) = ({l}_{\mathrm{c}}/\xi ){({n}_{\mathrm{X}}/{n}_{\mathrm{cl}})}^{2.5}\) that describes these effects in terms of the network parameters: mean section length l c, mesh size ξ and relative number of X cross-links n X ∕ n cl.

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Authors and Affiliations

  1. Micromechanics of Materials, Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, 9747AG, Groningen, The Netherlands

    G. Žagar, P. R. Onck & E. Van der Giessen

Authors
  1. G. Žagar
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  2. P. R. Onck
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  3. E. Van der Giessen
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Corresponding author

Correspondence to P. R. Onck .

Editor information

Editors and Affiliations

  1. Dept. Mechanical Engineering, University of Michigan, Ann Arbor, 48109-2121, U.S.A.

    Krishna Garikipati

  2. Dept. Mechanical Engineering, University of Michigan, Ann Arbor, 48109-2121, U.S.A.

    Ellen M. Arruda

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Žagar, G., Onck, P.R., Van der Giessen, E. (2010). Small Strain Topological Effects of Biopolymer Networks with Rigid Cross-Links. In: Garikipati, K., Arruda, E. (eds) IUTAM Symposium on Cellular, Molecular and Tissue Mechanics. IUTAM Bookseries, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3348-2_13

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