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Analytical Solution for the Reissner-Sagoci Problem of a Piezoelectric Half-Space

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In this paper,a transversely isotropic piezoelectric half-space with the isotropy axis parallel to the z-axis is considered under rotation on a rigid circular disk bonded to the surface of the piezoelectric medium.This is a type of Reissner-Sagoci mixed boundary value problem.By utilizing the Hankel transform,the mixed boundary value problem is simplified into solving a pair of dual integral equations.Full-field analytical expressions for displacement,stresses,and electric displacement inside the half-space are obtained.The shear stresses and electric displacement on the surface are found to be singular at the edge of the rigid circular disk,and the stress intensity factors and electric displacement intensity factor are defined.Numerical results show that material properties and geometric size have significant effects on displacement,shear stresses,and electric displacement.

Piezoelectric half-spaceCircular diskReissner-Sagoci problemStress intensity factorElectric displacement intensity factor

Keqiang Hu、Cun-Fa Gao、Zengtao Chen、Zheng Zhong

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State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China

Department of Mechanical Engineering,University of Alberta,Edmonton,AB T6G 1H9,Canada

School of Science,Harbin Institute of Technology,Shenzhen 518055,China

National Natural Science Foundation of ChinaCreative Research GroupsNanjing University of Aeronautics and Astronautics

1187220351921003

2024

10.1007/s10338-024-00481-9

固体力学学报(英文版)
中国力学学会

固体力学学报(英文版)

EI
影响因子：0.214
ISSN：0894-9166
年,卷(期)：2024.37(3)
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