Identification in transient dynamics using a geometry-based cost function in Finite Element Model Updating method

In this article, we introduce a new numerical method for identifying mechanical parameters of hyper-elastic materials in a dynamic framework. Using a Finite Element Model Updating (FEMU) procedure, we propose a new cost function family. The goal is to avoid the use of a random speckle in association with a Digital Image Correlation (DIC) tool that are both needed when a cost function based on full displacement fields is used. The experimental data consist in a set of images. The developed method then uses a simple segmentation of these images without requiring any DIC procedure and associated random speckle technique. This advantage is made possible through the use of a new cost function based on geometry quantities. Examples based on synthetic data illustrate the performance of the proposed method on transient dynamics problems where the flow of information can be very important.