Large-deflection response of polymer nanocomposite annular plates with dual-scale SiC reinforcements: insights derived from an integrated microscale-macroscale model
摘要
This study presents an integrated numerical framework for predicting the large deflection behavior of higher-order shear-deformable annular plates fabricated from ternary nanocomposites reinforced with short silicon carbide (SSiC) microfibers and nano-sized silicon carbide (NSiC) particles embedded in an epoxy matrix. A hierarchical micromechanics-based finite element framework is developed to determine the effective elastic properties of the nanocomposite, accounting for the content and aspect ratio of short fibers, the content and size of nanoparticles, dispersion patterns, and nanoparticle-polymer interphase effects. These effective properties are subsequently incorporated into a structural model based on Reddy’s third-order shear deformation theory combined with von Kármán geometric nonlinearity. The weak-form governing equations are discretized using the variational differential quadrature method, and the nonlinear response is obtained via the pseudo-arc-length continuation method with a modified Newton–Raphson iteration. The proposed numerical approach is employed to investigate the effects of microstructural parameters and boundary conditions on the nonlinear bending behavior of nanocomposite annular plates under symmetric and asymmetric transverse loadings. The results indicate that smaller NSiC diameters, higher SSiC aspect ratios, and aligned SSiC fibers, in combination with uniformly dispersed NSiC particles, significantly enhance the mechanical performance. Moreover, accounting for the interphase region between the NSiC particles and the matrix leads to reduced large-amplitude deflections.