@article{249ae455affd4546a20b2e3a8370e92b,
title = "A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth",
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 biology-controlled 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.",
keywords = "biological material, cell wall growth, constitutive behaviour, fibre-reinforced composite material, finite strain, finite element analysis, viscoplastic material",
author = "R. Huang and Becker, {A. A.} and Jones, {I. A.}",
year = "2015",
month = dec,
day = "30",
doi = "10.1007/s10665-014-9761-y",
language = "English",
volume = "95",
pages = "121--154",
journal = "Journal of Engineering Mathematics",
issn = "0022-0833",
}