A Computer Program to Extract the Continuous and Discrete Relaxation Spectra from Dynamic Viscoelastic Measurements
A Computer Program to Extract the Continuous and Discrete Relaxation Spectra from Dynamic Viscoelastic Measurements
复制标题
从动态粘弹性测量中提取连续和离散弛豫谱的计算机程序
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
S. Shanbhag
中科院分区：
文献类型：
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作者：
Arsia Takeh;S. Shanbhag
摘要我们描述并实现了一个高效的、开源的、多平台的计算机程序ReSpect，用于从小角度振荡剪切实验获得的动态模量测量结果中推断连续和离散弛豫谱。我们采用非线性Tikhonov正则化和Levenberg-Marquardt方法来提取连续的弛豫谱。为了获得离散弛豫谱，我们引入了一种新的算法，利用连续谱定位模式。它使用一个简单的标准来平衡所产生的最小二乘问题的准确性和条件，以确定少量的模式。最终的结果是一个易于使用和扩展的程序，可以从命令行或图形用户界面使用它来覆盖一些默认的算法选择。
Abstract We describe and implement an efficient, open-source, multi-platform computer program ReSpect to infer the continuous and discrete relaxation spectra from dynamic moduli measurements obtained by small-angle oscillatory shear experiments. We employ nonlinear Tikhonov regularization and the Levenberg-Marquardt method to extract the continuous relaxation spectrum. To obtain the discrete relaxation spectrum, we introduce a novel algorithm that exploits the continuous spectrum to position the modes. It uses a simple criterion which balances accuracy and conditioning of the resulting least-squares problem to determine a parsimonious number of modes. The end result is an easy-to-use, and easy-to-extend program, which can be used from the commandline or from a graphical user interface to override some of the default algorithmic choices.