Applied Mathematics and Mechanics

, Volume 20, Issue 1, pp 12–17

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

• Ding Haojiang
• Guo Fenglin
• Zuo Daoqin
Article

## 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.

## Key words

piezoelectric cone compression torsion bending point charge

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© Editorial Committee of Applied Mathematics and Mechanics 1999

## Authors and Affiliations

• Ding Haojiang
• 1
• Guo Fenglin
• 1
• Zuo Daoqin
• 1
1. 1.Department of Civil EngineeringZhejiang UniversityHangzhouP.R. China