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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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2023-01-01
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| Series: | Frontiers in Plant Science |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fpls.2022.994320/full |
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| author | Domen Macek Hagen Holthusen Annabell Rjosk Stephan Ritzert Thea Lautenschläger Christoph Neinhuis Jaan-Willem Simon Stefanie Reese |
| author_facet | Domen Macek Hagen Holthusen Annabell Rjosk Stephan Ritzert Thea Lautenschläger Christoph Neinhuis Jaan-Willem Simon Stefanie Reese |
| author_sort | Domen Macek |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-10T20:00:38Z |
| format | Article |
| id | doaj.art-a21f4edc3d394e3888f573819c06b917 |
| institution | Directory Open Access Journal |
| issn | 1664-462X |
| language | English |
| last_indexed | 2024-04-10T20:00:38Z |
| publishDate | 2023-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Plant Science |
| spelling | doaj.art-a21f4edc3d394e3888f573819c06b9172023-01-27T07:06:14ZengFrontiers Media S.A.Frontiers in Plant Science1664-462X2023-01-011310.3389/fpls.2022.994320994320Mechanical investigations of the peltate leaf of Stephania japonica (Menispermaceae): Experiments and a continuum mechanical material modelDomen Macek0Hagen Holthusen1Annabell Rjosk2Stephan Ritzert3Thea Lautenschläger4Christoph Neinhuis5Jaan-Willem Simon6Stefanie Reese7Institute of Applied Mechanics, Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen University, Aachen, GermanyInstitute of Applied Mechanics, Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen University, Aachen, GermanyInstitute of Botany, Technische Universität Dresden, Dresden, GermanyInstitute of Applied Mechanics, Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen University, Aachen, GermanyInstitute of Botany, Technische Universität Dresden, Dresden, GermanyInstitute of Botany, Technische Universität Dresden, Dresden, GermanyInstitute of Applied Mechanics, Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen University, Aachen, GermanyInstitute of Applied Mechanics, Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen University, Aachen, GermanyStephania 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.https://www.frontiersin.org/articles/10.3389/fpls.2022.994320/fullStephania japonicamechanical investigationsmaterial modelviscoelasticityanisotropyfinite strains |
| spellingShingle | Domen Macek Hagen Holthusen Annabell Rjosk Stephan Ritzert Thea Lautenschläger Christoph Neinhuis Jaan-Willem Simon Stefanie Reese Mechanical investigations of the peltate leaf of Stephania japonica (Menispermaceae): Experiments and a continuum mechanical material model Frontiers in Plant Science Stephania japonica mechanical investigations material model viscoelasticity anisotropy finite strains |
| 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 | Stephania japonica mechanical investigations material model viscoelasticity anisotropy finite strains |
| url | https://www.frontiersin.org/articles/10.3389/fpls.2022.994320/full |
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