His publications are mostly in the areas of dynamics, vibration, and wave propagation involving smart materials and metamaterials.

[7] His collaborative work on flexoelectricity[8] established a framework to exploit strain gradient-induced polarization in elastic dielectrics for enhanced electricity generation at the nanoscale.

[13] Another research topic explored by his group is wireless power and data transfer using ultrasound waves.

[14][15] More recently, Erturk and collaborators investigated the leveraging of guided waves in cranial and transcranial ultrasound.

[16][17][18] Erturk and collaborators also explored metamaterials and phononic crystals for elastic and acoustic wave phenomena.