Mechanical Properties of Long Leaves: Experiment and Theory

IF 1.4 4区生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY

Acta Biotheoretica Pub Date : 2020-10-31 DOI:10.1007/s10441-020-09397-6

A. Jakubska-Busse, M. W. Janowicz, L. Ochnio, B. Jackowska-Zduniak, J. M. A. Ashbourn

引用次数: 0

Abstract

The static properties of leaves with parallel venation from terrestrial orchids of the genus Epipactis were modelled as coupled elastic rods using the geometrically exact Cosserat theory and the resulting boundary-value problem was solved numerically using a method from Shampine, Muir and Xu. The response of the leaf structure to the applied force was obtained from preliminary measurements. These measurements allowed the Young’s modulus of the Epipactis leaves to be determined. The appearance of wrinkles and undulation characteristics for some leaves has been attributed to the small torsional stiffness of the leaf edges.

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长叶的力学性能:实验与理论

利用几何精确的Cosserat理论，将Epipactis属陆生兰花具有平行脉络的叶片的静态特性建模为耦合弹性杆，并使用Shampine、Muir和Xu的方法对由此产生的边值问题进行了数值求解。叶片结构对所施加的力的响应是从初步测量中获得的。这些测量结果使得能够确定Epipactis叶片的杨氏模量。一些叶片出现褶皱和波动特征是由于叶片边缘的扭转刚度较小。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Biotheoretica 生物-生物学

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

3 months

期刊介绍： Acta Biotheoretica is devoted to the promotion of theoretical biology, encompassing mathematical biology and the philosophy of biology, paying special attention to the methodology of formation of biological theory. Papers on all kind of biological theories are welcome. Interesting subjects include philosophy of biology, biomathematics, computational biology, genetics, ecology and morphology. The process of theory formation can be presented in verbal or mathematical form. Moreover, purely methodological papers can be devoted to the historical origins of the philosophy underlying biological theories and concepts. Papers should contain clear statements of biological assumptions, and where applicable, a justification of their translation into mathematical form and a detailed discussion of the mathematical treatment. The connection to empirical data should be clarified. Acta Biotheoretica also welcomes critical book reviews, short comments on previous papers and short notes directing attention to interesting new theoretical ideas.