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On the analytical solution for sliding contact of piezoelectric materials subjected to a flat or parabolic indenter

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Abstract

This work presents the analytical solution of sliding contact problem of piezoelectric materials under the action of a flat or parabolic indenter. Inside the contact region, the indenter and the piezoelectric materials are in relative motion. Boundary conditions are well equipped. For a flat indenter and a parabolic indenter, non-classical singularity is presented and exact results are derived for surface contact stress, in-plane stress and electric displacement. Figures show that the influence of the friction coefficient on the stress components is more pronounced than that of the piezoelectric coefficient ratio, while the opposite trend is observed for the electric displacement. Under a sliding parabolic indenter, an increasing of the piezoelectric coefficient ratio makes the contact region become narrower.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Ningxia University, Yinchuan, 750021, People’s Republic of China

    Xing Li

  2. Ningxia Normal University, Guyuan, Ningxia, 756000, People’s Republic of China

    Xing Li, Yue-Ting Zhou & Zheng Zhong

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  1. Xing Li
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  2. Yue-Ting Zhou
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  3. Zheng Zhong
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Correspondence to Yue-Ting Zhou.

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Li, X., Zhou, YT. & Zhong, Z. On the analytical solution for sliding contact of piezoelectric materials subjected to a flat or parabolic indenter. Z. Angew. Math. Phys. 66, 473–495 (2015). https://doi.org/10.1007/s00033-014-0413-x

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  • DOI: https://doi.org/10.1007/s00033-014-0413-x

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