An asymptotically exact theory of functionally graded piezoelectric shells

Khanh Chau Le

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arXiv · 1609.03169

An asymptotically exact theory of functionally graded piezoelectric shells

Khanh Chau Le

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Abstract

An asymptotically exact two-dimensional theory of functionally graded piezoelectric shells is derived by the variational-asymptotic method. The error estimation of the constructed theory is given in the energetic norm. As an application, analytical solution to the problem of forced vibration of a functionally graded piezoceramic cylindrical shell with thickness polarization fully covered by electrodes and excited by a harmonic voltage is found.

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Khanh Chau Le. 2016-09-11. An asymptotically exact theory of functionally graded piezoelectric shells. https://arxiv.org/abs/1609.03169

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