Magneto–electro interaction of two offset indenters in frictionless contact with magnetoelectroelastic materials

Yue Ting Zhou, Sheng Jie Pang, Yong Hoon Jang

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Within the theory of linear full-field magneto–electro–elasticity, magneto–electro interaction of two electrically-conducting and magnetically-conducting indenters acting over the surface of magnetoelectroelastic materials widely used in practical industries is examined. The operation theory, Fourier transform technique and integral equation technique are employed to address the two-dimensional, mixed boundary-value problem explicitly. The surface stresses, electric displacement and magnetic induction and their respective intensity factors are obtained in closed forms for two perfectly conducting semi-cylindrical indenters. Degradation from two perfectly conducting semi-cylindrical indenters to one single perfectly conducting cylindrical indenter is discussed. Numerical analyses are detailed to reveal the effects of the interactions between two semi-cylindrical indenters on contact behaviors subjected to multi-field loadings.

Original languageEnglish
Pages (from-to)197-214
Number of pages18
JournalApplied Mathematical Modelling
Volume52
DOIs
Publication statusPublished - 2017 Dec 1

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Frictionless Contact
Intensity Factor
Mixed Boundary Value Problem
Electromagnetic induction
Interaction
Boundary value problems
Integral equations
Fourier transform
Proof by induction
Integral Equations
Fourier transforms
Closed-form
Degradation
Contact
Industry

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

Cite this

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title = "Magneto–electro interaction of two offset indenters in frictionless contact with magnetoelectroelastic materials",
abstract = "Within the theory of linear full-field magneto–electro–elasticity, magneto–electro interaction of two electrically-conducting and magnetically-conducting indenters acting over the surface of magnetoelectroelastic materials widely used in practical industries is examined. The operation theory, Fourier transform technique and integral equation technique are employed to address the two-dimensional, mixed boundary-value problem explicitly. The surface stresses, electric displacement and magnetic induction and their respective intensity factors are obtained in closed forms for two perfectly conducting semi-cylindrical indenters. Degradation from two perfectly conducting semi-cylindrical indenters to one single perfectly conducting cylindrical indenter is discussed. Numerical analyses are detailed to reveal the effects of the interactions between two semi-cylindrical indenters on contact behaviors subjected to multi-field loadings.",
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Magneto–electro interaction of two offset indenters in frictionless contact with magnetoelectroelastic materials. / Zhou, Yue Ting; Pang, Sheng Jie; Jang, Yong Hoon.

In: Applied Mathematical Modelling, Vol. 52, 01.12.2017, p. 197-214.

Research output: Contribution to journalArticle

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AU - Pang, Sheng Jie

AU - Jang, Yong Hoon

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AB - Within the theory of linear full-field magneto–electro–elasticity, magneto–electro interaction of two electrically-conducting and magnetically-conducting indenters acting over the surface of magnetoelectroelastic materials widely used in practical industries is examined. The operation theory, Fourier transform technique and integral equation technique are employed to address the two-dimensional, mixed boundary-value problem explicitly. The surface stresses, electric displacement and magnetic induction and their respective intensity factors are obtained in closed forms for two perfectly conducting semi-cylindrical indenters. Degradation from two perfectly conducting semi-cylindrical indenters to one single perfectly conducting cylindrical indenter is discussed. Numerical analyses are detailed to reveal the effects of the interactions between two semi-cylindrical indenters on contact behaviors subjected to multi-field loadings.

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