Elasticity solutions for a piezoelectric cone under concentrated loads at its apex. (English) Zbl 0928.74028
Summary: Based on the general solution of the three-dimensional problem for piezoelectric materials, we solve by trial-and-error method the problem of a piezoelectric cone subjected to concentrated loads at its apex. The displacements and stresses are explicitly given in the cases of compression in the presence of point charge, bending and torsion. When the apex angle \(2\alpha\) equals \(\pi\), the solutions for concentrated force, point charge and torsion reduce to solutions of the half-space problem.
MSC:
| 74F15 | Electromagnetic effects in solid mechanics |
Keywords:
trial-and-error method; displacements; stresses; compression; point charge; bending; torsion; half-space problemReferences:
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