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The contact problem
for FGPM coatings considering the surface effect
Zhan-Zhou Ma and Tie-Jun Liu |
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Vol. 20 (2025), No. 5, 553–585
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Abstract |
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We investigate the contact problem of a functionally graded piezoelectric material (FGPM) under a cylindrical indenter by considering the surface effect. The electromechanical properties of the FGPM coating vary as an exponential function along the thickness direction. The Fourier integral transform method is employed to obtain the fundamental solution of the two-dimensional contact problem of FGPM considering the surface effect. Numerical results are obtained to analyze the effects of the material gradient and surface effect on the distributions of normal contact stress, in-plane stress, and in-plane electric displacement. The results show that surface effect play a crucial role in the contact problem of the FGPM. The contact behavior of the FGPM at micro/nano-scales can be improved by adjusting the gradient index. |
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Keywords
surface effect, functionally graded piezoelectric material
(FGPM), contact mechanics, Fourier integral transform
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Mathematical Subject Classification
Primary: 74F99
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Milestones
Received: 24 April 2025
Revised: 29 September 2025
Accepted: 9 November 2025
Published: 29 November 2025
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Authors |
| Zhan-Zhou Ma | |
| Department of Mechanics Inner Mongolia University of Technology Hohhot, 010051 China |
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| Tie-Jun Liu | |
| Department of Mechanics Inner Mongolia University of Technology Hohhot, 010051 China |
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| © 2025 MSP (Mathematical Sciences Publishers). |
