Plane electroelastic problem for a cracked piezoelectric half-space subject to remote electric field action

Plane electroelastic problem is considered for a longitudinal crack in a transversely-isotropic piezoelectric half-space subject to remote electric field perpendicular to the flat surface of the half-space. The flat surface is fully covered by thin electrode and free of mechanical load. The Lekhnits...

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Published inEuropean journal of mechanics, A, Solids Vol. 82; p. 103984
Main Authors Khoroshev, K.G., Glushchenko, Yu.A.
Format Journal Article
LanguageEnglish
Published Berlin Elsevier Masson SAS 01.07.2020
Elsevier BV
Subjects
Boundary conditions
Complex potentials
Crack
Edge cracks
Electric fields
Electroelasticity
Flat surfaces
Half spaces
Half-space
Least-squares method
Piezoelectric
Piezoelectricity
Remote electric field
Least-squares method
Remote electric field
Complex potentials
Electroelasticity
Piezoelectric
Crack
Half-space
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Summary:Plane electroelastic problem is considered for a longitudinal crack in a transversely-isotropic piezoelectric half-space subject to remote electric field perpendicular to the flat surface of the half-space. The flat surface is fully covered by thin electrode and free of mechanical load. The Lekhnitskii’ generalized complex potentials are used for the solution representation. For a case of an internal crack, boundary conditions on the flat surface are satisfied analytically by use of the Cauchy integration technique. The least-square method is applied for satisfying boundary conditions on the crack surface. An edge crack is considered. Numerical investigations are carried out for a internal or an edge crack in dependency on crack orientation and location. The results showed that one of the most dangerous crack is parallel to the flat surface. A crack perpendicular to the flat surface does not cause any significant electroelastic field in a piezoelectric half-space. Location of a crack relative the flat surface influences on electromechanical coupling near its tips. •A piezoelectric half-space with a crack is considered.•Remote electric field is supplied.•Boundary conditions on the crack surface are satisfied by the least-squares method.•The most dangerous crack is parallel to the flat surface of the half-space.
Bibliography:ObjectType-Article-1
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ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2020.103984