The research on computational vibroacoustics includes the development of different modelling strategies to cover all the frequency ranges of interest and technological applications. Among the methods we deal with are finite elements, boundary elements, boundary algebraic equations (low frequencies); modal expansions (mid frequencies); spectral finite elements and statistical energy analysis (high frequencies). The applications are focused on building acoustics (with emphasis on the direct and indirect sound transmission), transfer path analysis (characterisation of complex mechanical systems), and scattering of acoustic and elastic waves.

Fracture of natural or engineered materials may be described by means of continuous models (such as gradient damage models or phase-field approaches) or discontinuous models (such as the XFEM, extended finite element method). We are interested in exploring the connections between these two modelling paradigms and in developing hybrid continuous-discontinuous models, with an emphasis on crack tracking for complex branching crack patterns and in advanced discretisation techniques, such as HDG (hybridisable Discontinuous Galerkin).

An optimization-based phase-field method for continuous-discontinuous crack propagation
Geelen, R.J.M.; Liu, Y.; Dolbow, J.E. and Rodríguez-Ferran, A.
International Journal for Numerical Methods in Engineering, Vol. 116, Issue 1, pp. 1-20, 2018

A subsystem identification method based on the path concept with coupling strength estimation
Magrans, F.X.; Poblet-Puig, J. and Rodríguez-Ferran, A.
Mechanical Systems and Signal Processing, Vol. 100, pp. 588-604, 2018

The solution of linear mechanical systems in terms of path superposition
Magrans, F.X.; Poblet-Puig, J. and Rodríguez-Ferran, A.
Mechanical Systems and Signal Processing, Vol. 85, pp. 111-125, 2017

A medial-axis-based model for propagating cracks in a regularised bulk
Tamayo-Mas, E.; Rodríguez-Ferran, A.
International Journal for Numerical Methods in Engineering, Vol. 101, Issue 7, pp. 489-520, 2015