Summary
The plant cell wall is treated as a two phase fibre composite material in which the fibres are dispersed, in an isotropic matrix, in the plane of the cell wall with an angular distribution f(θ). If f (θ) can be represented by a gaussian it is shown that the elastic stiffness constants of the cell wall can be easily evaluated. The theory is applied to a model of the earlywood of Pinus radiata and the theoretical variation of the longitudinal Young's Modulus with mean fibrilar direction is compared with that determined experimentally.
Zusammenfassung
Die pflanzliche Zellwand wird im allgemeinen behandelt wie ein im wesentlichen aus zwei Phasen bestehendes Fasermaterial, bei dem die Fasern in einer isotropen Matrixsubstanz gelöst und in der Zellwandebene mit einem Winkel f(θ) verteilt sind. Sofern f(θ) normal verteilt ist, können die elastischen Konstanten der Zellwand verhältnismäßig einfach berechnet werden. Diese Theorie wird auf das Modell von Kiefern-Frühholz (Pinus radiata) angewendet, und die theoretisch ermittelte Änderung des longitudinalen Youngs Moduls mit der mittleren Faserrichtung wird mit experimentell bestimmten Werten verglichen.
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Cave, I.D. The anisotropic elasticity of the plant cell wall. Wood Science and Technology 2, 268–278 (1968). https://doi.org/10.1007/BF00350273
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DOI: https://doi.org/10.1007/BF00350273