Rate‐Dependent Relaxation Spectra and Their Determination
Rate‐Dependent Relaxation Spectra and Their Determination
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速率依赖性弛豫谱及其测定
DOI：
10.1122/1.549213
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发表时间：
1971
期刊：
影响因子：
--
通讯作者：
Misazō Yamamoto
中科院分区：
文献类型：
--
作者：
Misazō Yamamoto
利用变形率相关弛豫谱的概念，处理了流开始时的应力超调、流停止后的应力松弛以及小振荡在定常剪切流上的叠加。这些分析被用作确定松弛时间谱的方法的基础。虽然处理仅限于响应函数取决于变形不变量的速率的特定类型的本构方程，但没有必要指定响应函数的任何函数形式。速率相关谱的实验测定可能在文献中提出的不同形式本构方程的相对适用性的讨论中发挥重要作用。
Stress overshoot at the start of a flow, stress relaxation after the stoppage of a flow, and superposition of a small oscillation upon a steady shear flow are treated by the use of the concept of a deformation rate‐dependent relaxation spectra. These analyses are used as the basis of methods to determine the spectrum of relaxation times. Although the treatment is restricted to specific types of constitutive equations in which the response function depends on the rate of deformation invariants, it is not necessary to specify any functional form of the response function. Experimental determination of the rate‐dependent spectrum may play an important role in the discussion of the relative applicability of different forms of constitutive equations recently proposed in the literature.