System Identification Techniques for Estimating Material Functions from Wave Propagation Experiments

Material properties of an elastic material are characterized by the elastic modulus, which is real-valued and constant. For viscoelastic materials, such as plastics and polymers, the relation between stress and strain is instead dynamic, and characterized by the complex-valued and frequency-dependent complex modulus. In this article it is described how system identification techniques can be used to determine the complex modulus using strain data from wave propagation experiments in a test specimen. Modeling, derivation of estimators, and analysis of their numerical and statistical properties are included. Several practical examples are presented using real-world data, and a number of extensions are outlined.

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