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Elasticity solutions for a piezoelectric cone under concentrated loads at its apex

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Abstract

Based on the general solution of the three-dimensional problem for piezoelectric materials, the problem of a piezoelectric cone subjected to concentrated loads at its apex is solved by trial-and-error method. The displacements and stresses are explicitly given for the cases of compression in the presence of point charge, bending and torsion. These solutions are simple in form and convenient for application. When the apex angle 2α equals π, the solutions for concentrated force, point charge and torsion reduce to solutions of the half-space problem.

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Project supported by the National Natural Science Foundation of China; and the Natural Science Foundation of Zhejing Province

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Haojiang, D., Fenglin, G. & Daoqin, Z. Elasticity solutions for a piezoelectric cone under concentrated loads at its apex. Appl Math Mech 20, 12–17 (1999). https://doi.org/10.1007/BF02459268

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  • DOI: https://doi.org/10.1007/BF02459268

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