This study investigates the bending behavior of hybrid sandwich plates composed of Functionally Graded (FG) face sheets and a Re-Entrant auxetic core subjected to hygro-thermomechanical loadings. Using a two-dimensional Higher-order Shear Deformation Theory (HSDT), the governing equilibrium and motion equations are derived via the principle of virtual work and Hamilton's principle. Closed-form Navier solutions are employed to evaluate transverse displacements, internal forces, and natural frequencies. The proposed mathematical model is validated against existing literature, confirming its accuracy. A parametric study examines the influence of hygrothermal loading, material gradation, sandwich configuration, and auxetic core geometry on structural response. Key findings indicate that hygrothermal loading is the dominant factor, amplifying nondimensional deflection by up to 300% and 220% for the (1-2-1) and (1-4-1) scheme configurations, respectively. The unit-cell geometric parameter H1 moderately affects deflection (0.8%-4.1%) yet significantly impacts transverse shear stress (up to 50%), while normal stress remains nearly insensitive. Transitioning from the (1-2-1) to the (1-4-1) configuration increases deflection by 34%, normal stress by 27%, and transverse shear stress by over 900%, highlighting the critical role of core thickness in shear redistribution. These results confirm the auxetic core's negative Poisson's ratio as a decisive factor in enhancing shear compliance and promoting uniform load distribution.
Madiha Boussalem, Hayat Benachi — 1) Department of Civil Engineering, Faculty of Science and Technology, Abbès Laghrour University, Khenchela, Algeria; 2) Laboratory of Engineering and Sciences of Advanced Materials, Khenchela 40000, Algeria
Abderrahmane Menasria, Abdelhakim Bouhadra — 1) Department of Civil Engineering, Faculty of Science and Technology, Abbès Laghrour University, Khenchela, Algeria; 2) Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Sidi Bel Abbès, Algeria
Abdelkader Tamrabet — Department of Civil Engineering, Faculty of Technology, University of Ferhat Abbas, Setif1, Algeria
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