Exploiting interface nonlinearity in continuum for wave propagation control
In this work, I studied phononic material with periodic interfaces of rough surfaces. These interfaces exhibit varying degrees of nonlinearity, from weak to strong, including friction. Therefore, I studied how these nonlinearities, along with the unique building block of the layered structure, affect wave propagation. In the weakly nonlinear regime, I showed that these materials give rise to interesting properties such as harmonic generation, spatial beating of harmonic amplitudes, and filtering of generated frequencies [Patil and Matlack, Wave Motion (2021)]. Using these signatures, I showed how wave mixing inside these materials can be leveraged to design a phononic diode that can enable broadband nonreciprocity [Patil et al., Ext. Mech. Lett. (2022)]. Under strong nonlinearity, I found that these materials support a rare type of solitary waves - stegotons - that attenuate at certain frequencies due to acoustic resonances of elastic layers [Patil and Matlack, Phy. Rev. E (2022)]. For sufficiently large amplitudes, I showed that input compression wave disintegrates into several different waveforms, particularly, leading compression pulse, transitional rarefaction front, and tailing oscillations [Patil and Matlack, Euro. Non. Dyn. Conf. (2022)]. Recently, I reported the emergence of eigenstrains (residual static shear deformations) when shear waves interact with rough interfaces [Patil et al., J. App. Mech. (2023)]. By leveraging these deformations, I demonstrated wave-governed programmable functionalities such as mechanical switches, precision actuation, and surface reconfigurability. All these wave properties with no analogs in linear theory could potentially lead to the next-generation materials and acoustic devices. I have also written an extensive review paper that provides perspectives on how different sources of nonlinearity can be used in phononic media to enable enriched wave dynamics [Patil and Matlack, Acta Mechanica (2022)]. Read the publications below for more information:
G. U. Patil, A. Fantetti, K. H. Matlack, Shear wave-induced friction at periodic interfaces for programmable mechanical responses. Journal of Applied Mechanics, 90(9), 091002 (2023). [Link]
G. U. Patil, K.H. Matlack, Nonlinear Wave Disintegration in Phononic Material with Weakly Compressed Rough Contacts. 10th European Nonlinear Dynamics Conference - Lyon, 382267 (2022). [Link]
G. U. Patil, Songyuan Cui, K. H. Matlack, Leveraging nonlinear wave mixing in rough contacts-based phononic diodes for tunable nonreciprocal waves. Extreme Mechanics Letters, 55, 101821 (2022). [Link]
G. U. Patil, K. H. Matlack, Strongly nonlinear wave dynamics of continuum phononic materials with periodic rough contacts. Physical Review E, 105(2), 024201 (2022). [Link]
G. U. Patil, K. H. Matlack, Review of exploiting nonlinearity in phononic materials to enable nonlinear wave responses. Acta Mechanica, 233(1), 1-46 (2021). [Link]
G. U. Patil, K. H. Matlack, Wave self-interactions in continuum phononic materials with periodic contact nonlinearity. Wave Motion, 105, 102763 (2021). [Link]