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  Internal crack in a piezoelectric layer sandwiched between two elastic layers
 
 
Titel: Internal crack in a piezoelectric layer sandwiched between two elastic layers
Auteur: Xian Fang Li
Guo Jin Tang
Verschenen in: International journal of applied electromagnetics and mechanics
Paginering: Jaargang 20 (2004) nr. 1 pagina's 11-28
Jaar: 2004-08-19
Inhoud: The electroelastic analysis of a cracked transversely isotropic piezoelectric layer sandwiched between two elastic layers is made under electromechanical loading. The crack is assumed to be situated at the mid-plane of the piezoelectric layer and penetrate through the piezoelectric layer along the poling direction. By using an integral transform technique, the problem is reduced to dual integral equations. Further a singular integral equation with Cauchy kernel of the first kind is derived and solved numerically by the Lobatto-Chebyshev collocation technique. The field intensity factors and the energy release rate are obtained and the results indicate that they are independent of electric loading for the case of prescribed stress, and depend on electric loading for the case of prescribed displacement on the top and bottom surfaces. The electric field has no any singularity near the crack tips, while the electric displacement exhibits the same singularity as the stress near the crack tips. Some numerical results are presented graphically to show the influence of layer thickness-to-crack length ratio and the material properties on the normalized energy release rate.
Uitgever: IOS Press
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

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