An effective method for the sliding frictional contact of a conducting cylindrical punch on FGPMs

Jie Su, Liao-Liang Ke, Sami El-Borgi, Yang Xiang, Yue-Sheng Wang

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

This paper presents an effective method to solve the sliding frictional contact between a rigid conducting cylindrical punch and a functionally graded piezoelectric coated half-plane. The electro-mechanical properties of the functionally graded piezoelectric materials (FGPMs) are position dependent along the thickness direction in the form of an exponential function against the thickness coordinate. A constant surface electric potential is assumed for the punch and the friction is of the Coulomb type. Using the superposition theorem and the Fourier integral transform, the present problem is reduced to a set of coupled Cauchy singular integral equations. These integral equations are then numerically discretized to form an overdetermined system which may lead to a non-unique solution for the conducting cylindrical punch problem. By using the least squares method together with an iterative procedure, the overdetermined algebraic equations are effectively solved to obtain the optimal solution. The effects of the friction coefficient and gradient index on the surface electro-mechanical fields are discussed.
Original languageEnglish
Pages (from-to)127-136
Number of pages10
JournalInternational Journal of Solids and Structures
Volume141-142
DOIs
Publication statusPublished - 2018

Keywords

  • friction
  • functionally gradient materials
  • least squares
  • piezoelectric materials

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