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The modelling of time-dependant deformation in wood using chemical kinetics

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Summary

The development of rheological models to predict creep has led to the derivation of quite complex equations that can predict creep reasonably accurately. However, these models are conceptual and are not based on a fundamental understanding of the actual deformation processes occurring within the material. The concept of modelling creep using a chemical kinetic approach is one that attempts to understand creep in wood at a molecular level and, from this, to develop models that more accurately predict creep deflections.

This paper presents two models developed from chemical kinetic theory, that describe the time-dependant deformation of wood. The validity of applying these models to experimental data has been assessed by stress relaxation tests on thin samples of Sequoia sempervirens.

Two stages of experimentation were carried out. In stage 1, both models were applied to the results of stress relaxation tests on 6 samples. Similar values of activation energy and activation volume were calculated by both models and a single energy barrier was found to dominate the deformation process.

In stage 2, the effect of varying the initial applied stress on activation energy and activation volume was assessed by carrying out stress relaxation tests at stress levels of 25%, 30% and 35% of the short-term strength. Values of activation energy and activation were found to increase as the applied stress level decreased.

Both models describe the time-dependent behaviour of wood well, however their ability to predict long-term creep deflections may be limited. Future work will develop these models further in order to improve long-term creep prediction and then apply them to the results of both creep and stress relaxation tests at a variety of stress levels and moisture contents in order to test their validity.

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Abbreviations

A:

reaction rate constant times the concentration of flow units

E1 :

elastic modulus of elastic component

E2 :

elastic modulus of viscous component

ΔG:

Gibb's free energy

h:

Planck's constant = 4.135×10-15 eV sec-1

k:

Boltzmann's constant = 8.616×10-5 eVK

k′:

rate constant

R:

gas constant = 1.987 calK-1 mol-1

t:

time

T:

absolute temperature

Vh :

activation volume

Vm :

volume of cell wall element

ɛ:

strain

ϱ:

concentration of flow units

σ:

mean stress

τ:

stress on all viscous elements

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Bonfield, P.W., Mundy, J., Robson, D.J. et al. The modelling of time-dependant deformation in wood using chemical kinetics. Wood Sci.Technol. 30, 105–115 (1996). https://doi.org/10.1007/BF00224962

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