This research investigates how nanocomposites can help improve the dynamic stability of button designs within the Mazu clothing industry using a functionally graded graphite nanoplatelet-reinforced (FG-GPLR) material. An eccentric annular plate model is used to study the dynamic response of buttons. Buttons are critical components of the overall physical strength and functional integrity of Mazu clothing, and a reinforced approach using graphene nanocomposites will add to the strength of the button via improved mechanical properties (tensile and impact resistance), providing long-lasting functionality under dynamic load conditions. A modified form of the Halpin-Tsai micromechanics model has been employed to predict the behavior of the material, taking into account the non-linear distribution of graphene platelets within the composite matrix, and the refined shear deformation theory (RSDT) has been utilized to analyze the deformation of the plate subject to dynamic loading. Subsequently, Hamilton's principle was used to derive the equations of motion for the governing equations and to create a numerical solution for the design of the buttons; the Gauss–Lobatto–Chebyshev grid generation method has been used to define the numerical region for this study, and the transformed differential quadrature method (TDQM) has been used to yield accurate numerical solutions to aid the design of dynamic stability for the buttons. The findings indicate that there has been a considerable increase in the strength and stability of buttons, thereby supporting the engineering potential for nanocomposite materials to aid the Mazu design of clothing with both functionality and visual aesthetic appeal.
