A multiscale FEA framework for bridging cell-wall to tissue-scale mechanical properties: the contributions of middle lamella interface and cell shape
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Plant tissue represents cellular material with multiple structural hierarchies enabling a wide range of multifunctionalities and extraordinary mechanical properties. However, it is yet to be elucidated how subcellular-scale mechanical properties and cell-to-cell interactions by a middle lamella (ML) layer are translated to larger scale responses. In this study, we examined an onion epidermal cell wall profile as a representative multicellular material system and developed a novel framework for a multiscale finite element analysis (FEA) model that allows two-scale coupling in a commercial FEA package. The core of this multiscale approach is a 3D repetitive volume element (RVE), which is composed of four cell wall fragments from four adjacent cells attached by a distinct ML layer. We parameterized ML mechanical properties and cell shape anisotropy at RVE to investigate resulting mechanical responses, which were then scaled up to the tissue level. It was observed that, within the elastic limit, the RVE- and tissue-scale mechanical responses are barely affected by ML modulus value; however, they are moderately affected by cell shape factor. The detailed 3D feature of ML interface was found critical for creating anisotropic mechanical behavior and localized stress concentration at RVE scale. Based on the observed results, a soft nanoscopic ML layer with its specified 3D architecture was suggested as the key mediator for attributing multifunctionality in plant cellular material system. The reported computational model framework offers new insight into how different length scales may affect the material properties of multicellular materials exhibiting hierarchical multiscale structures.
KeywordsBottom Wall Cellular Material Middle Lamella Anticlinal Wall Periclinal Wall
This study was funded by the Center for Lignocellulose Structure and Formation, an Energy Frontier Research Center funded by the U. S. Department of Energy, Office of Science, Office of Basic Energy Sciences under Award Number DE-SC0001090.
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Conflict of interest
The authors declare that they have no conflict of interest.
- 16.Konstankiewicz K, Pawlak K, Zdunek A (2001) Influence of structural parameters of potato tuber cells on their mechanical properties. Int Agrophys 15:243–246Google Scholar
- 21.Cybulska J, Konstankiewicz K, Zdunek A, Skrzypiec K (2010) Nanostructure of natural and model cell wall material. Int Agrophys 24:107–114Google Scholar
- 22.Zdunek A, Pieczywek PM (2013) Study on model development of plant tissue using the finite element method. In: Study model development plant tissue using finite element method. Inside food symposium, Leuven, Belgium, pp 9–12Google Scholar
- 64.Willats WGT, Orfila C, Limberg G et al (2001) Modulation of the degree and pattern of methyl-esterification of pectic homogalacturonan in plant cell walls: implications for pectin methyl esterase action, matrix properties, and cell adhesion. J Biol Chem 276:19404–19413. doi: 10.1074/jbc.M011242200 CrossRefGoogle Scholar