article · Journal of Sandwich Structures & Materials
This research examines the bending responses of a three-layered nanoplate under combined thermal, magnetic, electric, and mechanical influences. The investigated structure comprises a central nano-sheet sandwiched between two piezo-magnetic face-sheets positioned at the top and bottom. A linear temperature gradient is assumed across the thickness of the plate, while three-dimensional electric and magnetic potentials are applied to the top surfaces of the face-sheets. Using sinusoidal shear-deformation plate theory alongside nonlocal electro-magneto-elasticity, constitutive relationships are formulated. Seven equilibrium equations are derived through the principle of virtual work. Numerical analysis demonstrates that the structural bending behaviour is substantially influenced by specific factors. In particular, the nonlocal parameter, the applied electric and magnetic potentials, and the temperature distribution all play significant roles in determining how the composite nanoplate deforms under load.
Understanding how nanoscale sandwich plates respond to simultaneous thermal, magnetic, and electrical loads helps researchers model complex smart materials. By mapping how external potentials and thermal gradients influence structural deformation, this theoretical framework clarifies the mechanical limits of multi-layered nanostructures subjected to multi-physical operating conditions.
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The nonlocal thermo-magneto-electro-mechanical bending behaviors of a three-layered nanoplate are presented in this study. The three-layered nanoplate includes a nano-sheet and two piezo-magnetic face-sheets at the top and the bottom. Temperature distribution is assumed linear along the thickness of the plate. The piezo-magnetic face-sheets are subjected to three-dimensional electric and magnetic potentials. The applied electric and magnetic potentials are applied at top of the face-sheets. The constitutive thermo-electro-magneto relations are derived based on the sinusoidal shear-deformation plate theory and nonlocal electro-magneto-elasticity. Using the principle of virtual work seven equations of the equilibrium are derived. The numerical results of this research indicate that some parameters have considerable effect on the bending behavior of three-layered nanoplate. Nonlocal parameter, applied electric and magnetic potentials, and temperature distribution are important parameters in this analysis.
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DOI: 10.1177/1099636217697497
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