Thermomechanical Analysis of Metamaterial-Reinforced Plate

Thermo-elastic analysis of a metamaterial reinforced plate subjected to the mechanical and thermal loads is estimated in this paper. The formulation is done using the two-variable sinusoidal shear deformation theory, accounting for out-of-plane normal strain. This study employs an extension of the principle of virtual work into a three-dimensional framework to evaluate the structural response, including deformation, strain, and stress fields of a square composite plate embedded with graphene origami reinforcements under combined thermal and mechanical loads. The plate is manufactured from a Cu reinforced with the origami. The constitutive relations are extended using the material properties derived from the micromechanical models. A higher-order kinematic model with thickness stretch ability was developed for the derivation of the equations. To approve the solution method and derivation procedure, a verification investigation is developed. An enhanced kinematic description, incorporating extensibility and higher-order effects, enables precise analysis of the nanocomposite plate. This capability, combined with the structural efficiency achieved through a reconfigurable, compact geometry, supports potential deployment across sectors such as aerospace, automotive systems, and military technology, where reduced mass and tunable mechanical responses are critical.