Acoustic behavior prediction of monodisperse foams using polynomial surrogates

Acoustic properties of foams, such as macroscopic transports and sound absorption, are significantly influenced by their local morphology. The present paper develops a polynomial chaos expansion (PCE)-based surrogate model for characterizing the microstructure-properties relationships of acoustic monodisperse foams. First, the acoustic properties of the considered structures are estimated numerically by homogenization techniques using an idealized periodic unit cell and the Johnson-Champoux-Allard-Pride-Lafarge (JCAPL) model. The reference maps of transport parameters are then used to construct the PCE–based surrogates in the design space involving a set of foamy microstructural parameters such as membrane content, cell size, and porosity. Finally, after a validation phase and assessing convergence characteristics, the generated surrogates are employed to design some foam-based absorbers to illustrate the accuracy and computational efficiency of the proposed method.