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Green's functions
for two-phase transversely isotropic piezoelectric media with
viscous interface
Xu Wang and Peter Schiavone |
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Vol. 20 (2025), No. 2, 157–171
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Abstract |
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We consider the three-dimensional and time-dependent problem of a bimaterial consisting of two transversely isotropic piezoelectric half-spaces bonded along a planar viscous interface and subjected to a point force and point electric charge within one phase. Closed-form Green’s function solutions are derived when the point force is normal or parallel to the interface. The analysis indicates that the electroelastic fields in the two half-spaces induced by a point force in an arbitrary direction and a point electric charge evolve with two intrinsic velocities. One intrinsic velocity is determined by the electroelastic properties of the two piezoelectric half-spaces, while the other is determined by the elastic constants of the two half-spaces and is independent of the piezoelectric and the dielectric constants of the two half-spaces. The time-dependent Coulomb force acting on a point electric charge is obtained. |
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Keywords
three-dimensional Green's function, point force, point
charge, transversely isotropic piezoelectricity,
bimaterial, closed-form solution, intrinsic velocity,
Coulomb force
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Milestones
Received: 1 May 2025
Accepted: 6 May 2025
Published: 5 August 2025
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Authors |
| Xu Wang | |
| School of Mechanical and Power
Engineering East China University of Science and Technology Shanghai, 200237 China |
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| Peter Schiavone | |
| Department of Mechanical
Engineering University of Alberta 10-203 Donadeo Innovation Center for Engineering Edmonton, AB T6G 1H9 Canada |
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| © 2025 MSP (Mathematical Sciences Publishers). |
