26—MECHANICAL PROPERTIES OF WOOL FIBRES I.—CREEP IN THE “HOOKEAN” REGION OF WOOL FIBRES IN WATER

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Abstract
For loads in the Hookean region, wool fibres in water are linearly visco-elastic, with the value of the total strain s at a time t for a suddenly applied fixed load f e being given by where c 0 , d 0 and t′ are constants at constant temperature. The range of t for which the above relationship holds is from a few seconds to 2 × 103 seconds. A model based on a distribution of Burte-Halsey two-state units is investigated and shown to give the right form of strain, under fixed load, of s = f c θ (t) where θ (t) is a function of time only at a fixed temperature. Further, the model also gives a Young's modulus, which varies as the loge (rate of loading), for a constant rate of loading experiment. This is shown to agree with experiments of previous workers. Further, by extending the model to dry fibres, a reasonable value is predicted for the Young's modulus of dry wool. Also, the rate of variation with temperature of the apparent instantaneous strain, as predicted from the model, agrees reasonably well with the value obtained experimentally.

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