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

Huang, Ruoyu and Becker, Adib A. and Jones, I. Arthur (2015) A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth. Journal of Engineering Mathematics, 95 (1). pp. 121-154. ISSN 0022-0833

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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.

Item Type: Article
Keywords: Biological material; Cell wall growth; Constitutive behaviour; Fibre-reinforced composite material; Finite strain; Finite element analysis; Viscoplastic material
Schools/Departments: University of Nottingham, UK > Faculty of Engineering > Department of Mechanical, Materials and Manufacturing Engineering
Identification Number: https://doi.org/10.1007/s10665-014-9761-y
Depositing User: Becker, Adib
Date Deposited: 28 Jul 2016 13:00
Last Modified: 27 Nov 2016 06:30
URI: http://eprints.nottingham.ac.uk/id/eprint/35517

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