Modélisation du comportement mécanique du bois au cours du séchage

by Moutee, Mohssine

A new approach and rheological model for modeling the hygro-thermo-mechanical behaviour of wood during drying process are proposed. This approach is based on the resolution of equilibrium equations of Euler-Bernoulli cantilever beam without any assumption on stress distribution through the thickness. A numerical code was developed to predict stress and deformation evolution of wood cantilever at constant and variable moisture conditions. This code was validated using a classical rheological model (Burger model), where analytical solution exists at constant moisture content. A new global rheological model was therefore developed where free shrinkage, instantaneous stress-strain relationships, time induced creep (viscoelastic creep) and mechano-sorptive creep are taken into account. The constitutive law is based on an elasto-viscoplastic model that takes into account the moisture content gradient in wood, the effect of external load by introducing a viscoplastic deformation threshold (permanent strain), and also the combined effect of load and moisture content variation by adding the mechano-sorptive behavior of wood during drying. For the rheological model parameters identification, a cantilever experimental setup was used. Creep tests at 60°C, at different load levels, at different constant moisture contents, and during drying were carried out on white spruce wood (Picea glauca (Moench.) Voss.) in the radial direction. Thus, the elastic, viscoelastic, viscoplastic and mechano-sorptive properties obtained experimentally were reproduced by simulation. The good agreement between simulation and experimental results confirms the validity of the proposed numerical approach and the developed rheological model for the experimental conditions considered in this work.