Nonlinear Phononic Material

Phononic materials that consider elastic laws are limited to small-amplitude waves only whereas most real-world applications experience high-amplitude excitations, for example, impact loads. Moreover, nonlinearity can offer enriched dynamic response unachievable in linear systems. In this work, we design phononic material through a periodic arrangement of rough contacts in a continuum. The nonlinearity stems from the nonlinear response of rough contact deformation. Our results show that the generated zero- and second harmonic frequency amplitudes due to contact nonlinearity vary inside the continuum even though the continuum itself is linear. These results illustrate that the wave propagation depends upon the spatial distribution of the rough contacts and local coupling of discrete-continuum coupling.


Phononic Material with Periodic Rough Contacts


The spatial beating of second harmonic amplitude due to dispersion of the system