Debonded arc-shaped interface conducting rigid line inclusions in piezoelectric composites

Xu Wang; Peter Schiavone

doi:10.1016/j.crme.2017.07.001

Debonded arc-shaped interface conducting rigid line inclusions in piezoelectric composites

Xu Wang ¹; Peter Schiavone ²

¹ School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, China
² Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, Alberta T6G 1H9, Canada

Comptes Rendus. Mécanique, Volume 345 (2017) no. 10, pp. 724-731.

Abstract

We consider an arc-shaped conducting rigid line inclusion located at the interface between a circular piezoelectric inhomogeneity and an unbounded piezoelectric matrix subjected to remote uniform anti-plane shear stresses and in-plane electric fields. Moreover, one side of the rigid line inclusion has become fully debonded from the matrix or the inhomogeneity leading to the formation of an insulating crack. After the introduction of two sectionally holomorphic vector functions, the problem is reduced to a vector Riemann–Hilbert problem, which can be decoupled sequentially by repeated application of the orthogonality relations between the eigenvectors for two corresponding generalized eigenvalue problems.

Received: 2017-05-30
Accepted: 2017-07-01
Published online: 2017-08-08

DOI: 10.1016/j.crme.2017.07.001

Keywords: Debonded arc-shaped conducting rigid line inclusion, Piezoelectric material, Singularity, Riemann–Hilbert problem, Decoupling

Author's affiliations:

Xu Wang ¹; Peter Schiavone ²

¹ School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, China
² Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, Alberta T6G 1H9, Canada

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     author = {Xu Wang and Peter Schiavone},
     title = {Debonded arc-shaped interface conducting rigid line inclusions in piezoelectric composites},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {724--731},
     publisher = {Elsevier},
     volume = {345},
     number = {10},
     year = {2017},
     doi = {10.1016/j.crme.2017.07.001},
     language = {en},
}

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Xu Wang; Peter Schiavone. Debonded arc-shaped interface conducting rigid line inclusions in piezoelectric composites. Comptes Rendus. Mécanique, Volume 345 (2017) no. 10, pp. 724-731. doi : 10.1016/j.crme.2017.07.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2017.07.001/

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