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Humidity-Dependent Bending Recovery and Relaxation of Human Hair

机译:人发依赖湿度的弯曲恢复和松弛

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The time-dependent bending recovery of human hair fibers was investigated for a variety of relative humidities and aging times. The data were analyzed on the basis of a viscoelastic filament/matrix model and the Denby-equation, containing the parameter K as the ratio of the elastic bending rigidities of the matrix and the filaments and the Kohlrausch-Williams-Watts (KWW) function as relaxation function. The first stage of the analysis ascertained that the recovery curves shift with aging time on the time scale with the expected aging rate of mu approximate to 1. The second stage showed that the shape factor of the KWW function exhibits a mean value across the aging and humidity range of m = 0.28, which is close to the "universal" value of 1/3. On this basis, it was found that virtually no change Occurs for the modulus ratio for low water contents up to about 10%, being constant at K-0 = 6.1, while linearly decreasing beyond this threshold. The reduced, characteristic relaxation time drops on the log-time scale from log tau(r)(0) = 0.47 for the dry fiber linearly with water content, covering about two thirds of a decade for 0-20%, water content. With the pronounced humidity dependence of the parameters, hair shows what is termed hydro-rheologically complex (HRC) in analogy to thermo-rheologically complex behavior. Using the HRC approach, the dynamical mechanical performance of hair (1 Hz) was calculated for a range of water contents and aging times and found to be in good general agreement with experimental data.
机译:针对各种相对湿度和老化时间,研究了人发纤维的时间依赖性弯曲恢复。在粘弹性长丝/矩阵模型和Denby方程的基础上分析了数据,其中包含参数K作为基质和长丝的弹性弯曲刚度之比,而Kohlrausch-Williams-Watts(KWW)函数为松弛功能。分析的第一阶段确定恢复曲线在时标上随老化时间的变化而变化,预期的mu老化速率约为1。第二阶段表明,KWW函数的形状因子在整个老化过程中均显示平均值。湿度范围m = 0.28,接近“通用”值1/3。在此基础上,发现对于低水含量(最高约10%)的模量比,在K-0 = 6.1不变的情况下,几乎没有变化,而线性下降超过该阈值。对于含水量呈线性关系的干纤维,减少的特征弛豫时间在对数时间尺度上从log tau(r)(0)= 0.47下降,含水量为0-20%时,覆盖了大约十分之三。凭借参数对湿度的明显依赖性,头发可以类似于热流变复杂行为显示出所谓的水变流变复杂(HRC)。使用HRC方法,针对一定范围的水分含量和老化时间,计算了头发的动态机械性能(1 Hz),发现与实验数据基本吻合。

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