Abstract
AbstractIn this contribution, we describe the identification of the elastic properties of polymers in use‐specific setups, in particular the high‐frequency behavior (compared to quasi‐static or low‐frequency behavior that is usually characterized). Such a parameter search can be expressed as an inverse problem by comparing experimental measurements with adequate simulated data. We employ an axisymmetric scaled boundary finite element formulation to model the propagation of ultrasonic guided waves through cylindrical polymeric samples as the so‐called forward model of an optimization procedure. The simulated dynamic response is compared to a reference signal, and gradient descent‐based optimization is used to find the best possible material parameter fit. We present a cost function based on the wavelet convolution that results in a locally convex cost surface well suited for gradient descent optimization.
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