Elasticity solutions for a piezoelectric cone under concentrated loads at its apex
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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.
Key wordspiezoelectric cone compression torsion bending point charge
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- Love A E H.A Treatise on the Mathematical Theory of Elasticity [M]. 4th edition, New York: Reprinted by Dover Publications, 1994Google Scholar
- Lur'e A I.Three-Dimensional Problems of the Theory of Elastiity [M]. New York: Interscience Publishers, 1964Google Scholar
- Lekhniskii S G.Theory of Elasticity of an Anisotropic Elastiity Body [M]. Moscow: Mir Publishers, 1981Google Scholar
- Hu Haichang. On the three-dimensional problems of theory of elasticity of a transversely isotropic body [J].Acta Phsica Sinica, 1953,9 (2): 130–144 (in Chinese)Google Scholar