Abstract
A procedure for determining the nine equivalent orthotropic elastic constants for a cell-wall lamella is presented. A two-stage analytic homogenization method is proposed. It is shown to give results which are similar to those obtained from a full numerical finite element solution for an idealised representative volume element. The method, which can accommodate arbitrary proportions of cell wall constituents, is used to determine the equivalent elastic constants for lamellae in the secondary cell wall layers and the compound middle lamella of a typical softwood tracheid at a nominal 12% moisture Content.
Zusammenfassung
Es wird ein Verfahren zum Bestimmen der neun relevanten elastischen Konstanten für Zellwand-Lamellen präsentiert. Eine zweistufige Methode zur Homogenisierung wird vorgeschlagen. Es zeigt sich, daß damit ähnliche Ergebnisse erzielt werden wie mit einer rein numerischen Finite-Element-Lösung. Diese Methode ermöglicht mit beliebig wählbaren Anteilen von Zellwandbestandteilen die Bestimmung der entsprechenden elastischen Konstanten für die Lamellen der Sekundärwände und der Mittelschicht von Nadelhölzern bei einer Standardfeuchte von 12%.
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The research reported in this article in funded by the New Zealand Forest Research Institute and by the Public Good Science Fund of New Zealand through Research Grant UOC401.
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Harrington, J.J., Astley, R.J. & Booker, R. Modelling the elastic properties of softwood. Holz als Roh-und Werkstoff 56, 37–41 (1998). https://doi.org/10.1007/PL00002608
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DOI: https://doi.org/10.1007/PL00002608