A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth
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, ar...
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Springer
2015
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| Online Access: | https://eprints.nottingham.ac.uk/35517/ |
| _version_ | 1848795096927961088 |
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| author | Huang, Ruoyu Becker, Adib A. Jones, I. Arthur |
| author_facet | Huang, Ruoyu Becker, Adib A. Jones, I. Arthur |
| author_sort | Huang, Ruoyu |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:26:40Z |
| format | Article |
| id | nottingham-35517 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:26:40Z |
| publishDate | 2015 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-355172020-05-04T17:28:11Z https://eprints.nottingham.ac.uk/35517/ A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth Huang, Ruoyu Becker, Adib A. Jones, I. Arthur 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. Springer 2015-12-03 Article PeerReviewed Huang, Ruoyu, 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 Biological material; Cell wall growth; Constitutive behaviour; Fibre-reinforced composite material; Finite strain; Finite element analysis; Viscoplastic material http://link.springer.com/article/10.1007%2Fs10665-014-9761-y doi:10.1007/s10665-014-9761-y doi:10.1007/s10665-014-9761-y |
| spellingShingle | Biological material; Cell wall growth; Constitutive behaviour; Fibre-reinforced composite material; Finite strain; Finite element analysis; Viscoplastic material Huang, Ruoyu Becker, Adib A. Jones, I. Arthur A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth |
| title | A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth |
| title_full | A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth |
| title_fullStr | A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth |
| title_full_unstemmed | A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth |
| title_short | A finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth |
| title_sort | finite strain fibre-reinforced viscoelasto-viscoplastic model of plant cell wall growth |
| topic | Biological material; Cell wall growth; Constitutive behaviour; Fibre-reinforced composite material; Finite strain; Finite element analysis; Viscoplastic material |
| url | https://eprints.nottingham.ac.uk/35517/ https://eprints.nottingham.ac.uk/35517/ https://eprints.nottingham.ac.uk/35517/ |