Influence of diverse boundary conditions on SH and P-SV wave dynamics in micropolar plates.

• Under stress-free and clamped boundary conditions, SH waves within a thin micropolar plate display both symmetric and skew-symmetric modes. However, these modes are notably absent under mixed boundary conditions. Similarly, P-SV waves can also generate both modes. Notably, both SH and P-SV waves exhibit dispersive characteristics. • The dispersion relationship governing SH-waves under mixed boundary conditions remains unique, regardless of which surface of the plate is stress-free or clamped. Notably, an intriguing transition point emerges in the phase velocity trend for SH waves under mixed boundary conditions. Preceding this point, the phase velocity decreases with an increasing wave number; however, beyond this point, the trend reverses. This phenomenon strongly suggests a non-linear relationship between phase velocity and plate properties under mixed boundary conditions. • The phase velocities of both SH and P-SV waves exhibit a direct correlation with both the plate thickness and the characteristic length parameter of micropolar plate. • The coupling number demonstrates a positive correlation with the phase velocity of SH waves under stress-free and clamped conditions, along with a similar relationship observed in the phase velocity of P-SV waves. The effects of the coupling number on the phase velocity of SH waves under mixed boundary conditions are particularly intriguing. In this scenario, the phase velocity initially rises and then declines with higher coupling numbers, with more noticeable impacts observed in the lower wave number range. This insight significantly contributes to a better comprehension of vibration behavior in thin plates under diverse conditions. • It is observed that number of modes increases with the increase in non-dimensional wavenumber. The observed phenomenon suggests that, across all modes, the phase velocity undergoes a reduction and eventually stabilizes at a constant value with an increasing wave number. Additionally, as the wavenumber increases, higher modes emerge with an augmented phase velocity. Studying wave propagation characteristics in plates is vital for comprehending the material dynamics to enhance the strength of structures and for optimizing the effectiveness of non-destructive testing devices. Micropolar elasticity displays microcontinuum behavior by integrating rotational and coupling effects through displacements and micro-rotations. The present study thoroughly investigates horizontally polarized shear waves (SH) within a thin micropolar plate by employing diverse boundary conditions namely stress-free, clamped, and mixed conditions. Shear horizontal waves propagate within a plate by shearing the material along the surface, excluding any motion in perpendicular direction. Moreover, for a more comprehensive grasp of wave behavior in a micropolar plate, the study investigates P-SV type waves under plane strain conditions. Analytical techniques are utilized to derive the dispersion relations for SH and P-SV type waves in a micropolar plate. Graphical representations are provided to showcase the impacts of various micropolar parameters such as coupling number, characteristic length, and plate thickness on the phase velocities of SH and P-SV type waves. The study also includes a dispersion analysis of the multimode aspect of SH and P-SV waves. This thorough investigation can significantly augment the comprehension of wave propagation phenomena within plate-like structures. [ABSTRACT FROM AUTHOR]