Scattering and dynamic stress concentration analysis of elastic waves around arbitrarily shaped holes in piezoelectric smart building materials

This research examines the scattering of elastic waves and the phenomenon of dynamic stress concentration in piezoelectric smart building materials and structures containing holes of arbitrary shapes. It is grounded in the principles of elastic dynamics theory. The analysis leverages Liu's complex variable function and conformal mapping methods to scrutinize the dynamic stress distribution in proximity to a solitary elliptical hole and a pair of circular holes. The study delves into the influence of various factors, including the incident wave number, elliptical eccentricity, and hole spacing, on the dynamic stress concentration factor. The findings reveal that, although the dynamic stress concentration factor exhibits predictable patterns as the wave number fluctuates, it remains highly susceptible to changes in these parameters, demonstrating symmetrical yet irregular variations. This research is crucial for addressing the challenges posed by holes and defects in piezoelectric materials during engineering design and service.