Jinlei Gai, Xujiao Yang, Yunlong Zhao
This study addresses a critical gap in understanding the influence of cylindrical inhomogeneities on electroacoustic wave scattering in transversely isotropic piezoelectric composites—a promising class of multifunctional building materials. The research focuses on how inclusion properties (e.g., rigid vs. soft, dense vs. lightweight) affect wave scattering behavior under long-wavelength conditions. An analytical model based on integral equations and Green’s function theory was developed to derive exact expressions for the scattering amplitude and total cross-section. Numerical simulations performed in MATLAB reveal that rigid, high-density fibers significantly reduce the scattering cross-sections at higher wavenumbers ( ka = 1.0), whereas soft, lightweight fibers enhance scattering, particularly at lower wavenumbers ( ka = 0.05). The novelty of this work lies in its multi-scale homogenization framework, which bridges micro-scale scattering mechanisms with macro-scale wave propagation properties in piezoelectric-cement composites. These findings provide fundamental insights for designing piezoelectric composite-based building materials with tailored wave propagation characteristics, supporting applications in embedded sensing, non-destructive inspection, and acoustic insulation in construction.