• Smart Structures and Systems
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• v.14 no.2
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• pp.225-246
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• 2014

The present paper develops piezo-thermo-elastic analysis of a thick spherical shell for generalized functionally graded piezoelectric material. The assumed structure is loaded under thermal, electrical and mechanical loads. The mechanical, thermal and electrical properties are graded along the radial direction based on a power function with three different non homogenous indexes. Primarily, the non homogenous heat transfer equation is solved by applying the general boundary conditions, individually. Substitution of stress, strain, electrical displacement and material properties in equilibrium and Maxwell equations present two non homogenous differential equation of order two. The main objective of the present study is to improve the relations between mechanical and electrical loads in hollow spherical shells especially for functionally graded piezoelectric materials. The obtained results can evaluate the effect of every non homogenous parameter on the mechanical and electrical components.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.15 no.3
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• pp.399-407
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• 2002

A three-dimensional method of analysis is presented for determining the free vibration frequencies and mode shapes of hollow bodies of revolution (i.e., thick shells), not limited to straight line generators or constant thickness. The middle surface of the shell may have arbitrary curvatures, and the wall thickness may vary arbitrarily. Displacement components$U_\Phi, U_z, U_\theta$ in the meridional, normal and circumferential directions, respectively, are taken to be sinusoidal in time, periodic in$\theta$, and algebraic polynomials in the$\Phi$and z directions. Potential(strain) and kinetic energies of the entire body are formulated, and upper bound values of the frequencies are obtained by minimizing the frequencies. As the degrees of the polynomials are increased, frequencies converge to the exact values. Novel numerical results are presented for two types of thick conical shells and thick spherical shell segments having linear thickness variations. Convergence to four digit exactitude is demonstrated for the first five frequencies of both types of shells. The method is applicable to thin shells, as well as thick and very thick ones.

• Journal of the Microelectronics and Packaging Society
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• v.24 no.4
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• pp.65-71
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• 2017

To prepare the Cu-based filler material indicating enhanced oxidation resistance property and Ag content, Ag-coated Cu particles was fabricated by Ag plating of 40 wt % on the spherical Cu particles with an average size of $2{\mu}m$ and their oxidation behavior was also evaluated. In the case that ethylenediaminetetraacetic acid was used alone, the fabricated particles frequently showed broken structures such as delamination at Ag shell/core Cu interface and hollow structure that are induced by excessive galvanic displacement reaction. As a result, fraction of defect particles increased up to 19.88% after the Ag plating of 40 wt.%. However, the fraction in the 40 wt.% Ag-coated Cu particles decreased to 9.01% and relatively smooth surface and dense microstructure in the Ag shell were also observed with additional usage of hydroquinone as a complexing agent. Ag-coated Cu particles having the enhanced microstructure did not show any weight increase by oxidation for exposure to air at $160^{\circ}C$ for 2 h, indicating increased oxidation resistance property.