Management of thermal buckling and stability in auxetic hybrid nanocomposite annular plates

This research provides a broad management-oriented inquiry into the thermal buckling and stability behavior of hybrid nanocomposite-strengthened annular plates inside an auxetic elastic medium. The structural arrangement is treated via a multi-scale hybrid laminated nanocomposite (MHLN) scheme together with a higher-order shear deformation theory (HSDT) so it can properly catch the transverse shear effect and those thickness-dependent changes. Thermoelastic stress–strain relations are used too to see how thermal loading nudges the nonlinear stability properties of the ring-like layout. On top of that, the nearby auxetic substrate is modeled with the Haber–Schaim elastic foundation approach, which helps in a more realistic sense of how the negative Poisson's ratio actually boosts stiffness and also how it improves post-buckling resistance. The governing equilibrium equations are discretized and handled numerically by using the differential quadrature method (DQM) built on a Chebyshev–Gauss–Lobatto grid distribution, which gives strong computational efficiency and reliable numerical convergence. Parametric studies are then run to look at how foundation coefficients, temperature changes, nanoparticle dispersion, lamination sequence, and geometric ratios influence the critical buckling temperatures and overall structural stability. What comes out is a useful management scaffold for best design choices, thermal reliability checking, and stability regulation of advanced nanocomposite plate structures, for aerospace, mechanical, and energy engineering use cases.