3D electroelastic fields in a functionally graded piezoceramic hollow sphere under mechanical and electric loadings |
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Authors: | W Q Chen Y Lu G R Ye J B Cai |
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Institution: | (1) Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P.R. China e-mail: caijb@zjuem.zju.edu.cn, CN;(2) Department of Mechanics, Zhejiang University, Hangzhou 310027, P. R. China, CN |
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Abstract: | Summary The problem of a piezoceramic hollow sphere is investigated analytically based on the 3D equations of piezoelasticity. The
functionally graded property of the material along the radial direction can be taken arbitrarily in the paper. Displacement
and stress functions are introduced, and two independent state equations with variable coefficients are derived. By employing
the laminate model, the two state equations are transformed into ones with constant variables from which the state variable
solution is easily obtained. Two linear relationships between the state variables at the inner and outer spherical surfaces
are established. Numerical calculations are performed for different boundary conditions imposed on the spherical surfaces.
Received 28 February 2001; accepted for publication 26 June 2001 |
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Keywords: | Piezoceramics State Variable Functionally Graded Material Laminate |
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