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Frictional contact of anisotropic piezoelectric materials indented by flat and semi-parabolic stamps

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Abstract

An exact analysis of frictional contact of anisotropic piezoelectric materials indented by a rigid flat or semi-parabolic stamp is conducted. Fundamental solutions that can lead to the real values of physical quantities are detailed for each eigenvalue distribution. The complicated mixed boundary value problems are reduced into a singular integral equation of the second kind in terms of the unknown surface contact stress beneath the stamp. Employing excellent properties of Jacobi Polynomials, the exact solution of the reduced second kind singular integral equation can be obtained. Exact and explicit expressions of various surface stresses and electric displacement are given in terms of elementary functions. Relationships between the applied load and contact area are derived, and stress intensity factors at stamp edges are given. Numerical results are presented to show the effects of the friction coefficient on various surface stresses and electric displacement. The present investigation could provide a scientific basis for the theoretical and experimental test of contact behaviors of anisotropic piezoelectric materials.

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Authors and Affiliations

  1. School of Mechanical Engineering, Yonsei University, Seoul, 120-749, Republic of Korea

    Yue-Ting Zhou & Kang Yong Lee

  2. Department of Engineering Mechanics, Dalian University of Technology, DaLian, 116024, People’s Republic of China

    Kang Yong Lee

Authors
  1. Yue-Ting Zhou
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  2. Kang Yong Lee
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Correspondence to Kang Yong Lee.

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Zhou, YT., Lee, K.Y. Frictional contact of anisotropic piezoelectric materials indented by flat and semi-parabolic stamps. Arch Appl Mech 83, 73–95 (2013). https://doi.org/10.1007/s00419-012-0633-5

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  • DOI: https://doi.org/10.1007/s00419-012-0633-5

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