Abstract:Comprehensive nonlocal piezoelasticity relations are developed in this paper for a sandwich functionally graded nanoplate subjected to applied electric potential based on higher-order shear and normal deformation theory. To account thickness stretching effect, the higher-order shear and normal deformation theory is developed. Based on this theory, the transverse deflection is decomposed into bending, shear and stretching portions in which the third term is reflected variation of transverse deflection along the… Show more
“…Power-law function from the rule of the mixture is described as 3,45,46,47,48 where P(zms) denotes typical material properties and |zms is the co-ordinate in z -axis with respect to the mid-surface of P-FG plate, Pu andnormal Plnormal stand for material properties of upper and lower part of the plate, respectively. 48 Vc is the volume fraction of ceramics, which is represented as where p represents the non-negative volume fraction index (material gradient index or power-law exponent), which controls the volume fraction of material across the thickness.…”
This paper presents the formulation of dynamic stiffness matrix for the natural vibration analysis of porous power-law functionally graded Levy-type plate. In the process of formulating the dynamic stiffness matrix, Kirchhoff-Love plate theory in tandem with the notion of neutral surface has been taken on board. The developed dynamic stiffness matrix, a transcendental function of frequency, has been solved through the Wittrick–Williams algorithm. Hamilton’s principle is used to obtain the equation of motion and associated natural boundary conditions of porous power-law functionally graded plate. The variation across the thickness of the functionally graded plate’s material properties follows the power-law function. During the fabrication process, the microvoids and pores develop in functionally graded material plates. Three types of porosity distributions are considered in this article: even, uneven, and logarithmic. The eigenvalues computed by the dynamic stiffness matrix using Wittrick–Williams algorithm for isotropic, power-law functionally graded, and porous power-law functionally graded plate are juxtaposed with previously referred results, and good agreement is found. The significance of various parameters of plate vis-à-vis aspect ratio ( L/b), boundary conditions, volume fraction index ( p), porosity parameter ( e), and porosity distribution on the eigenvalues of the porous power-law functionally graded plate is examined. The effect of material density ratio and Young’s modulus ratio on the natural vibration of porous power-law functionally graded plate is also explained in this article. The results also prove that the method provided in the present work is highly accurate and computationally efficient and could be confidently used as a reference for further study of porous functionally graded material plate.
“…Power-law function from the rule of the mixture is described as 3,45,46,47,48 where P(zms) denotes typical material properties and |zms is the co-ordinate in z -axis with respect to the mid-surface of P-FG plate, Pu andnormal Plnormal stand for material properties of upper and lower part of the plate, respectively. 48 Vc is the volume fraction of ceramics, which is represented as where p represents the non-negative volume fraction index (material gradient index or power-law exponent), which controls the volume fraction of material across the thickness.…”
This paper presents the formulation of dynamic stiffness matrix for the natural vibration analysis of porous power-law functionally graded Levy-type plate. In the process of formulating the dynamic stiffness matrix, Kirchhoff-Love plate theory in tandem with the notion of neutral surface has been taken on board. The developed dynamic stiffness matrix, a transcendental function of frequency, has been solved through the Wittrick–Williams algorithm. Hamilton’s principle is used to obtain the equation of motion and associated natural boundary conditions of porous power-law functionally graded plate. The variation across the thickness of the functionally graded plate’s material properties follows the power-law function. During the fabrication process, the microvoids and pores develop in functionally graded material plates. Three types of porosity distributions are considered in this article: even, uneven, and logarithmic. The eigenvalues computed by the dynamic stiffness matrix using Wittrick–Williams algorithm for isotropic, power-law functionally graded, and porous power-law functionally graded plate are juxtaposed with previously referred results, and good agreement is found. The significance of various parameters of plate vis-à-vis aspect ratio ( L/b), boundary conditions, volume fraction index ( p), porosity parameter ( e), and porosity distribution on the eigenvalues of the porous power-law functionally graded plate is examined. The effect of material density ratio and Young’s modulus ratio on the natural vibration of porous power-law functionally graded plate is also explained in this article. The results also prove that the method provided in the present work is highly accurate and computationally efficient and could be confidently used as a reference for further study of porous functionally graded material plate.
“…16 The surface and shape control of materials are the key for manufacturing high-performance sensors. 17 Due to these characteristics, a series of Fe 2 O 3 materials with various morphologies have been successfully designed and prepared, for instance, nanowires, 18 nanoparticle, 19 and so on, 20 which have good gas sensitivity. And they have been widely applied to electrodes, gas sensing, catalysis, magento-electro-elastic materials, and other fields.…”
The unique α-Fe2O3 hexagonal nanosheets have been successfully prepared through a facile solvothermal method with subsequent calcining process. The as-synthesized α-Fe2O3 sample exhibits p-type conductive performance. The gas sensitivities of the as-fabricated Fe2O3 nanosheets-based sensor are comprehensively studied and show good gas-sensing performance toward aniline. Furthermore, the aniline-sensing mechanism is investigated and the origin of the p-type conductivities is also discussed.
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