article · Journal of Thermal Stresses
This research presents a theoretical investigation into the transient electrothermomechanical vibration and bending behaviour of a functionally graded piezoelectric single-layered nanosheet supported by a visco-Pasternak foundation. The formulation integrates nonlocal elasticity theory and classical plate theory to establish the underlying governing equations, while Hamilton's principle is used to derive equations of motion based on displacement components. The structure is examined under combined mechanical, thermal, and electrical loading conditions. An initial nonlocal vibration analysis serves to validate the system responses, observing how the nonlocal parameter and the nonhomogeneous material index alter fundamental frequencies. As its central focus, the study computes the electrothermal bending characteristics, determining how factors including nanosheet thickness, structural damping, electric potential distribution, and nonhomogeneous properties affect the maximum deflection of the plate across various thermal and electrical conditions.
Components designed at the nanoscale often experience simultaneous electrical, thermal, and mechanical stresses. Providing analytical formulations for how these layered structures bend and vibrate under multi-physical loads assists researchers in accurately predicting nanoscale structural performance, ensuring foundational models account for tiny size effects and complex material gradients before physical fabrication.
The abstract focuses entirely on early-stage theoretical and numerical modelling and does not indicate an application pathway.
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This study develops the transient thermoelectromechanical vibration and bending analysis of a functionally graded piezoelectric nanosheet rest on visco-Pasternak’s foundation. Nonlocal elasticity theory as well as classical plate theory is used to implement basic equations of the nanosheet. The plate is resting on visco-Pasternak’s foundation and subject to mechanical, thermal, and electrical loadings. Hamilton’s principle is used for derivation equations of motion in terms of displacement components. As a first case study and for validation of the responses of the system, nonlocal vibration analysis of nanosheet is studied. The effects of nonlocal parameter and nonhomogeneous index of nanosheet are studied on the fundamental frequencies of the system. As the main objective of this study, the electrothermal bending results of the nanosheet are studied. The effects of some important parameters such as nonlocal parameter, nonhomogeneous index, thickness, distribution of electric potential, and damping are calculated on the maximum deflection of the sheet under various thermal and electrical loadings.
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DOI: 10.1080/01495739.2016.1229146
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