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Mechanical investigations of the peltate leaf of Stephania japonica (Menispermaceae): Experiments and a continuum mechanical material model

Stephania japonica is a slender climbing plant with peltate, triangular-ovate leaves. Not many research efforts have been devoted to investigate the anatomy and the mechanical properties of this type of leaf shape. In this study, displacement driven tensile tests with three cycles on different displ...

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Autores principales: Macek, Domen, Holthusen, Hagen, Rjosk, Annabell, Ritzert, Stephan, Lautenschläger, Thea, Neinhuis, Christoph, Simon, Jaan-Willem, Reese, Stefanie
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Frontiers Media S.A. 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9911874/
https://www.ncbi.nlm.nih.gov/pubmed/36777539
http://dx.doi.org/10.3389/fpls.2022.994320
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author Macek, Domen
Holthusen, Hagen
Rjosk, Annabell
Ritzert, Stephan
Lautenschläger, Thea
Neinhuis, Christoph
Simon, Jaan-Willem
Reese, Stefanie
author_facet Macek, Domen
Holthusen, Hagen
Rjosk, Annabell
Ritzert, Stephan
Lautenschläger, Thea
Neinhuis, Christoph
Simon, Jaan-Willem
Reese, Stefanie
author_sort Macek, Domen
collection PubMed
description Stephania japonica is a slender climbing plant with peltate, triangular-ovate leaves. Not many research efforts have been devoted to investigate the anatomy and the mechanical properties of this type of leaf shape. In this study, displacement driven tensile tests with three cycles on different displacement levels are performed on petioles, venation and intercostal areas of the Stephania japonica leaves. Furthermore, compression tests in longitudinal direction are performed on petioles. The mechanical experiments are combined with light microscopy and X-ray tomography. The experiments show, that these plant organs and tissues behave in the finite strain range in a viscoelastic manner. Based on the results of the light microscopy and X-ray tomography, the plant tissue can be considered as a matrix material reinforced by fibers. Therefore, a continuum mechanical anisotropic viscoelastic material model at finite deformations is proposed to model such behavior. The anisotropy is specified as the so-called transverse isotropy, where the behavior in the plane perpendicular to the fibers is assumed to be isotropic. The model is obtained by postulating a Helmholtz free energy, which is split additively into an elastic and an inelastic part. Both parts of the energy depend on structural tensors to account for the transversely isotropic material behavior. The evolution equations for the internal variables, e.g. inelastic deformations, are chosen in a physically meaningful way that always fulfills the second law of thermodynamics. The proposed model is calibrated against experimental data, and the material parameters are identified. The model can be used for finite element simulations of this type of leaf shape, which is left open for the future work.
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spelling pubmed-99118742023-02-11 Mechanical investigations of the peltate leaf of Stephania japonica (Menispermaceae): Experiments and a continuum mechanical material model Macek, Domen Holthusen, Hagen Rjosk, Annabell Ritzert, Stephan Lautenschläger, Thea Neinhuis, Christoph Simon, Jaan-Willem Reese, Stefanie Front Plant Sci Plant Science Stephania japonica is a slender climbing plant with peltate, triangular-ovate leaves. Not many research efforts have been devoted to investigate the anatomy and the mechanical properties of this type of leaf shape. In this study, displacement driven tensile tests with three cycles on different displacement levels are performed on petioles, venation and intercostal areas of the Stephania japonica leaves. Furthermore, compression tests in longitudinal direction are performed on petioles. The mechanical experiments are combined with light microscopy and X-ray tomography. The experiments show, that these plant organs and tissues behave in the finite strain range in a viscoelastic manner. Based on the results of the light microscopy and X-ray tomography, the plant tissue can be considered as a matrix material reinforced by fibers. Therefore, a continuum mechanical anisotropic viscoelastic material model at finite deformations is proposed to model such behavior. The anisotropy is specified as the so-called transverse isotropy, where the behavior in the plane perpendicular to the fibers is assumed to be isotropic. The model is obtained by postulating a Helmholtz free energy, which is split additively into an elastic and an inelastic part. Both parts of the energy depend on structural tensors to account for the transversely isotropic material behavior. The evolution equations for the internal variables, e.g. inelastic deformations, are chosen in a physically meaningful way that always fulfills the second law of thermodynamics. The proposed model is calibrated against experimental data, and the material parameters are identified. The model can be used for finite element simulations of this type of leaf shape, which is left open for the future work. Frontiers Media S.A. 2023-01-27 /pmc/articles/PMC9911874/ /pubmed/36777539 http://dx.doi.org/10.3389/fpls.2022.994320 Text en Copyright © 2023 Macek, Holthusen, Rjosk, Ritzert, Lautenschläger, Neinhuis, Simon and Reese https://creativecommons.org/licenses/by/4.0/This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
spellingShingle Plant Science
Macek, Domen
Holthusen, Hagen
Rjosk, Annabell
Ritzert, Stephan
Lautenschläger, Thea
Neinhuis, Christoph
Simon, Jaan-Willem
Reese, Stefanie
Mechanical investigations of the peltate leaf of Stephania japonica (Menispermaceae): Experiments and a continuum mechanical material model
title Mechanical investigations of the peltate leaf of Stephania japonica (Menispermaceae): Experiments and a continuum mechanical material model
title_full Mechanical investigations of the peltate leaf of Stephania japonica (Menispermaceae): Experiments and a continuum mechanical material model
title_fullStr Mechanical investigations of the peltate leaf of Stephania japonica (Menispermaceae): Experiments and a continuum mechanical material model
title_full_unstemmed Mechanical investigations of the peltate leaf of Stephania japonica (Menispermaceae): Experiments and a continuum mechanical material model
title_short Mechanical investigations of the peltate leaf of Stephania japonica (Menispermaceae): Experiments and a continuum mechanical material model
title_sort mechanical investigations of the peltate leaf of stephania japonica (menispermaceae): experiments and a continuum mechanical material model
topic Plant Science
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9911874/
https://www.ncbi.nlm.nih.gov/pubmed/36777539
http://dx.doi.org/10.3389/fpls.2022.994320
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