INTERRELATION BETWEEN CONTINUOUS AND DISCRETE RELAXATION-TIME SPECTRA
INTERRELATION BETWEEN CONTINUOUS AND DISCRETE RELAXATION-TIME SPECTRA
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DOI：
10.1016/0377-0257(92)80043-w
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发表时间：
1992-09-01
影响因子：
3.1
通讯作者：
WINTER, HH
中科院分区：
文献类型：
--
作者：
BAUMGAERTEL, M;WINTER, HH
导出了线性粘弹性松弛时间谱的连续形式和离散形式之间的关系。这两种形式都可以相互转换，在再现G‘(Omega)、G“(Omega)或G(T)数据的能力上是相同的。即使只有几个Maxwell模的线性叠加也能模拟连续形式。这种快速转换导致了用尽可能少的模数模拟线性粘弹性松弛的’简约‘谱。广泛分布和单分散聚合物的典型实验光谱为检验所提出的关系提供了手段。我们研究了噪声和数据密度对G’，G”数据集的影响。
A relation has been derived between the continuous and the discrete forms of linear viscoelastic relaxation-time spectra. Both forms can be interconverted, and they are equivalent in their ability to reproduce G'(omega), G"(omega), or G(t) data. The linear superposition of even only a few Maxwell-modes is able to mimic the continuous form. This rapid conversion leads to the 'parsimonious' spectrum which models the linear viscoelastic relaxation with the smallest possible number of modes. Typical experimental spectra of broadly distributed and of monodisperse polymers provide the means for testing the proposed relations. Effects of noise and data density were studied for G', G"-data sets.