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A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth

Huang, Ruoyu; Becker, Adib A.; Jones, I. Arthur

Authors

Ruoyu Huang

Adib A. Becker

I. Arthur Jones



Abstract

A finite strain fibre-reinforced viscoelasto-viscoplastic model implemented in a finite element (FE) analysis is presented to study the expansive growth of plant cell walls. Three components of the deformation of growing cell wall, i.e. elasticity, viscoelasticity and viscoplasticity-like growth, are modelled within a consistent framework aiming to present an integrative growth model. The two aspects of growth—turgor-driven creep and new material deposition—and the interplay between them are considered by presenting a yield function, flow rule and hardening law. A fibre-reinforcement formulation is used to account for the role of cellulose microfibrils in the anisotropic growth. Mechanisms in in vivo growth are taken into account to represent the corresponding biologycontrolled behaviour of a cell wall. A viscoelastic formulation is proposed to capture the viscoelastic response in the cell wall. The proposed constitutive model provides a unique framework for modelling both the in vivo growth of cell wall dominated by viscoplasticity-like behaviour and in vitro deformation dominated by elastic or viscoelastic responses. A numerical scheme is devised, and FE case studies are reported and compared with experimental data.

Citation

Huang, R., Becker, A. A., & Jones, I. A. (2015). A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth. Journal of Engineering Mathematics, 95(1), https://doi.org/10.1007/s10665-014-9761-y

Journal Article Type Article
Acceptance Date Oct 29, 2014
Online Publication Date Nov 27, 2015
Publication Date Dec 3, 2015
Deposit Date Jul 28, 2016
Publicly Available Date Jul 28, 2016
Journal Journal of Engineering Mathematics
Print ISSN 0022-0833
Electronic ISSN 0022-0833
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 95
Issue 1
DOI https://doi.org/10.1007/s10665-014-9761-y
Keywords Biological material; Cell wall growth; Constitutive behaviour; Fibre-reinforced composite material; Finite strain; Finite element analysis; Viscoplastic material
Public URL http://eprints.nottingham.ac.uk/id/eprint/35517
Publisher URL http://link.springer.com/article/10.1007%2Fs10665-014-9761-y
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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(ePrint Version) 2015-Huang-J Eng Math.pdf (1.4 Mb)
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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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