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Abstract
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This paper presents a novel triangular element model to analyse the static bending, free vibration and
transient response of sandwich functionally graded triply periodic minimal surface (FG-TPMS) rectangular
and annular plate integrated with magneto-electric layers supported on visco-Pasternak foundation
subject to double explosive load. The FG-TPMS plate is covered by two magneto-electric layers, and the
core layer is composed of Wrapped Package-graph (IWP), Gyroid (G) and Primitive (P) types with different
graded functions. The Maxwell equation and electromagnetic boundary conditions are used to calculate
how the electric and magnetic potentials vary. The rectangular and annular plate motion equations are
derived from Hamilton’s principle and refined higher-order shear plate theory. The convergence and
accuracy of the method are verified through comparison with reliable publications. Because of their
exceptional stiffness-to-weight ratios, these structures open up many opportunities for designing and
manufacturing in the fields of space, aviation and especially the defense industry.
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