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 with accounting 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 derivation of the equations. To approve 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.
Cao et al. (Fri,) studied this question.
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