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The pulse-echo method of non-destructive ultrasonic material testing is modeled by an iterative coupling scheme combining analytical and numerical methods in different domains. The approach offers significant advantages in terms of computational efficiency compared to volumetric mesh-based numerical models if the distance between transducer and specimen is large compared to the wavelength in the coupling medium. Excitation and results are given in the time domain while computations are performed in the frequency domain and are compatible with usual FEM solvers for linear elasticity. Due to the use of interpolated phase-shifted transfer functions only a small number of frequency lines is required in comparison to a direct Fourier transform of signals. The method is illustrated alongside a typical application on a steel structure embedded in water.

In many application fields, such as automotive and aerospace, the full FE Biot model has been widely applied to vibro-acoustics problems involving poro-elastic materials in order to predict their structural and acoustic performance. The main drawback of this approach is however the large computational burden and the uncertainty of the input data (Biot parameters) that may lead to less accurate prediction. In order to overcome these disadvantages industry is asking for more efficient techniques. The vibro-acoustic behaviour of structures coupled with poroelastic trims and fluid cavities can be predicted by means of the Patch Transfer Function (PTF) approach. The PTF is a sub-structuring procedure that allows for coupling different sub-systems via impedance relations determined at their common interfaces. The coupling surfaces are discretised into elementary areas called patches.

Over the past 30 years, the computer-aided engineering (CAE) tools have been applied extensively in the automotive industry. In order to accelerate time-to-market while coping with legal limits that have become increasingly restrictive over the last decades, CAE has become an indispensable tool covering all major fields in a modern automotive product design process. However, when tackling complex real-life engineering problems, the computational models might become rather involved and thus less efficient. Therefore, the overall trend in the automotive industry is currently heading towards combined approaches, which allow the best of the both worlds, namely the experimental measurement and numerical simulation, to be merged into one integrated scheme. In this paper, the so-called patch transfer function (PTF) approach is adopted to solve coupled vibro-acoustic problems. In the PTF scheme, the interfaces between fluid and structure are discretised in terms of patches.