Revisiting the identification of generalized Maxwell models from experimental results
Revisiting the identification of generalized Maxwell models from experimental results
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DOI：
10.1016/j.ijsolstr.2015.04.018
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发表时间：
2015-08-15
影响因子：
3.6
通讯作者：
Neviere, R.
中科院分区：
文献类型：
--
作者：
Jalocha, D.;Constantinescu, A.;Neviere, R.
线性粘弹性材料行为通常使用广义麦克斯韦模型来建模。麦克斯韦元件的材料参数，即弛豫时间和弹性模量由弛豫或动态力学分析（DMA）实验确定。已知潜在的数学问题是不适定的，这意味着不能保证识别的唯一性，并且初始数据中的小误差将导致识别参数中的高差异。去除不适定性的标准技术是选择先验的一系列弛豫时间，并仅识别模量。本文的目的是提出两种技术，以确定一个最佳系列的松弛时间。在弛豫实验的情况下，弛豫时间将从测量的弛豫谱的数值积分中优化。在DMA实验的情况下，我们表明，克莱因和Nudelmann获得的数学结果可以用来确定完整的一系列的弛豫时间。通过使用人工和实验数据的识别实例说明了该方法。结果表明，该方法提供了一个很好的匹配的松弛或复模量方面的识别模型。(C)2015爱思唯尔有限公司版权所有。
Linear viscoelastic material behavior is often modeled using a generalized Maxwell model. The material parameters, i.e. relaxation times and elastic moduli, of the Maxwell elements are determined from either a relaxation or a Dynamical Mechanical Analysis (DMA) experiments. The underlying mathematical problem is known to be ill-posed, which means that uniqueness of the identification is not assured and that small errors in the initial data will conduct to high discrepancies in the identified parameters. The standard technique to remove the ill-posedness is to chose a priori a series of relaxation times and to identify only the moduli. The aim of this paper is to propose two techniques to identify an optimal series of relaxation times. In the case of the relaxation experiment relaxation times will be optimized from the numerical integration of the measured relaxation spectrum. In the case of the DMA experiments we show that mathematical results obtained by Krein and Nudelmann can be used to determine the complete series of relaxation times. The methods are illustrated by identification examples using both artificial and experimental data. The results show that the methods provide a good match of the identified models in term of relaxation or complex moduli. (C) 2015 Elsevier Ltd. All rights reserved.