Nonlinear thermoelastic fractional-order model of nonlocal plates: Application to postbuckling and bending response

This study presents a comprehensive frame-invariant fractional-order framework for the geometrically nonlinear bending and postbuckling analysis of nonlocal plates subject to combined thermal mechanical loads. The kinematic framework, unlike classical formulations based on integer-order mechanics, is positive-definite thermodynamically consistent. nature enables application variational principles derive well-posed thermomechanical governing equations. A direct advantage these theoretical advancements reflected in ability approach enable an energy-based asymptotic method obtained by extending (local) Koiter’s approach. allows analytical assessment impact interactions bifurcation post-critical response slender structures when compressive Further, development accurate finite element enabling simulation any combination loads boundary conditions. above stated advantages are particularly important consistent regime. used provide numerical insights effect plates. Numerical results also demonstrate high-level consistency applied thermoelastic under different loading