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Some problems in plane thermopiezoelectric materials with holes

✍ Scribed by Qing-Hua Qin; Yiu-Wing Mai; Shou-Wen Yu


Book ID
104141520
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
295 KB
Volume
36
Category
Article
ISSN
0020-7683

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✦ Synopsis


Piezoelectric materials have recently attracted considerable attention due to their potential use in intelligent structural systems[ In this paper\ we treat the plane problem of thermopiezoelasticity with various holes and subject to coupled mechanical\ electric and thermal loads[ An analytical solution is obtained by applying the technique of conformal mapping and some identities in the Stroh formalism[ The solution has a simple uni_ed form for various holes such as ellipse\ circle\ triangle and square[ By way of the solution\ the expressions for the energy release rate and stress intensity factors of cracks are presented[ Numerical results for concentration coe.cients of stress and electric displacement along the hole boundary are given to assess the acceptability of the proposed method[


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Representations of Galerkin type are obtained for the displacement vector, polarization vector and the potential fields in the static plane theory of elastic dielectrics using the method of associated matrices. Fundamental matrix solutions of an infinite elastic dielectric plane subjected to a conce