article · Mechanics of Advanced Materials and Structures
A stress and deformation analysis evaluates sandwich plates constructed with a functionally graded core and piezoelectric face sheets. The structure is examined under combined sinusoidal loadings spanning moisture, temperature, electrical voltage, and mechanical forces. Displacements are modelled using a two-variable shear deformation plate theory. Across the thickness direction, the electric potential distribution is assumed linear, while it follows a polynomial function along the in-plane coordinates. The governing equations alongside boundary conditions are derived through the principle of virtual work, and Navier's solution is employed to solve the system. The analysis inspects the effects of applied voltage, material anisotropy, aspect ratio, side-to-thickness ratio, thermal expansion, moisture concentration coefficients, and material inhomogeneity parameters. The precision of the resulting formulation is verified through comparison with existing published data.
Smart composite materials must endure simultaneous environmental and mechanical stresses in demanding settings. Establishing accurate mathematical formulations for how sandwich plates deform under combined electrical, thermal, and moisture loads helps engineers predict structural responses without relying entirely on costly physical trial-and-error testing.
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Analysis for stress and deformation of sandwich plate consist of a functionally graded core and faces made of piezoelectric materials are proposed in this article. The plate is under hygro-thermo-electro-mechanical sinusoidal loadings. Two-variable shear deformation plate theory is applied to express the displacement components. The electric potential distribution is composed of a linear function along the thickness direction and a polynomial function along the plane coordinate. The governing equations and the boundary conditions are found by applying the virtual work principle. Navier’s solution is applied to solve the considered problem. The influence of applied voltage, material anisotropy, side-to-thickness ratio, aspect ratio, thermal expansion coefficients, moisture concentration coefficients and inhomogeneity parameter are discussed. The efficiency and exactness of the results is established by comparison with available results.
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DOI: 10.1080/15376494.2018.1562134
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