caa a22 4500 606166890 CHVBK 20210128100700.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10665-014-9761-y doi (NATIONALLICENCE)springer-10.1007/s10665-014-9761-y A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth [Elektronische Daten] [R. Huang, A. Becker, I. Jones] 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. Springer Science+Business Media Dordrecht, 2015 Biological material nationallicence Cell wall growth nationallicence Constitutive behaviour nationallicence Fibre-reinforced composite material nationallicence Finite strain nationallicence Finite element analysis nationallicence Viscoplastic material nationallicence Huang R. Advanced Forming Research Centre (AFRC), University of Strathclyde, 85 Inchinnan Drive, Inchinnan, Renfrewshire, PA4 9LJ, Scotland, UK aut Becker A. Department of Mechanical, Materials and Manufacturing Engineering, University of Nottingham, NG7 2RD, Nottingham, UK aut Jones I. Department of Mechanical, Materials and Manufacturing Engineering, University of Nottingham, NG7 2RD, Nottingham, UK aut Journal of Engineering Mathematics Springer Netherlands 95/1(2015-12-01), 121-154 0022-0833 95:1<121 2015 95 10665 https://doi.org/10.1007/s10665-014-9761-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9761-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Huang R. Advanced Forming Research Centre (AFRC), University of Strathclyde, 85 Inchinnan Drive, Inchinnan, Renfrewshire, PA4 9LJ, Scotland, UK aut NATIONALLICENCE 700 1- Becker A. Department of Mechanical, Materials and Manufacturing Engineering, University of Nottingham, NG7 2RD, Nottingham, UK aut NATIONALLICENCE 700 1- Jones I. Department of Mechanical, Materials and Manufacturing Engineering, University of Nottingham, NG7 2RD, Nottingham, UK aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 95/1(2015-12-01), 121-154 0022-0833 95:1<121 2015 95 10665