PIEZOTHERMOELASTIC BEHAVIOR OF A PYROELECTRIC SPHERICAL SHELL

An exact analysis on the piezothermoelastic behavior of a pyroelectric spherical shell with arbitrary thickness subjected to prescribed temperatures at two spherical surfaces is presented in the article. At first, three displacement functions are introduced to simplify the three-dimensional equation...

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Bibliographic Details
Published in:Journal of thermal stresses 2001-02, Vol.24 (2), p.105-120
Main Author: Shioya, Weiqiu Chen, Tadashi
Format: Article
Language:English
Subjects:
Beams, plates and shells
Displacement Function Piezothermoelastic Behavior Pyroelectric Medium Spherically Isotropic Spherical Shell
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Structural mechanics (beam, string...)
Theory and numerical methods
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Summary:An exact analysis on the piezothermoelastic behavior of a pyroelectric spherical shell with arbitrary thickness subjected to prescribed temperatures at two spherical surfaces is presented in the article. At first, three displacement functions are introduced to simplify the three-dimensional equations of equilibrium and the electrostatic charge equation of a spherically isotropic pyroelectric body. By expanding the displacement functions as well as the electric potential in terms of spherical harmonic functions, these equations are further converted to an uncoupled Euler-type, second-order ordinary differential equation and a coupled system of three such equations. A general solution to the homogeneous ordinary differential equations is derived. The piezothermoelastic analysis of a pyroelectric spherical shell is then given and numerical illustrations are presented.
ISSN:0149-5739
1521-074X
DOI:10.1080/01495730150500424