The multiple fields created by two perfectly-conducting punches on piezoelectric/piezomagnetic materials with anisotropy

Yue Ting Zhou, Kang Yong Lee, Yong Hoon Jang, Jian Li

Research output: Contribution to journalArticle

Abstract

This article proposes an analytical model of two perfectly conducting punches acting on piezoelectric/piezomagnetic materials with anisotropy. For six types of distinct or repeated roots, related auxiliary function are obtained. The closed-form solutions of the reduced integral equations are derived for two electrically-conducting and magnetically-conducting flat punches. The stress, electric displacement and magnetic induction intensity factors at both edges of each punch are given explicitly in terms of the distance between the two punches and the width of each punch. Numerical test is done to demonstrate the contributions of the distances between the two flat punches and various material properties on the contact behaviors. The obtained results delineate that at the outer edges, there has stronger strength for the singularities of the surface contact stress, surface electric displacement and surface magnetic induction compared with that at the inner edges.

Original languageEnglish
Pages (from-to)946-960
Number of pages15
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume97
Issue number8
DOIs
Publication statusPublished - 2017 Aug 1

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Piezoelectric Material
Piezoelectric materials
Anisotropy
Electromagnetic induction
Proof by induction
Intensity Factor
Contact Stress
Auxiliary Function
Closed-form Solution
Material Properties
Analytical Model
Integral equations
Analytical models
Materials properties
Integral Equations
Roots
Contact
Singularity
Distinct
Demonstrate

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Applied Mathematics

Cite this

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abstract = "This article proposes an analytical model of two perfectly conducting punches acting on piezoelectric/piezomagnetic materials with anisotropy. For six types of distinct or repeated roots, related auxiliary function are obtained. The closed-form solutions of the reduced integral equations are derived for two electrically-conducting and magnetically-conducting flat punches. The stress, electric displacement and magnetic induction intensity factors at both edges of each punch are given explicitly in terms of the distance between the two punches and the width of each punch. Numerical test is done to demonstrate the contributions of the distances between the two flat punches and various material properties on the contact behaviors. The obtained results delineate that at the outer edges, there has stronger strength for the singularities of the surface contact stress, surface electric displacement and surface magnetic induction compared with that at the inner edges.",
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The multiple fields created by two perfectly-conducting punches on piezoelectric/piezomagnetic materials with anisotropy. / Zhou, Yue Ting; Lee, Kang Yong; Jang, Yong Hoon; Li, Jian.

In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 97, No. 8, 01.08.2017, p. 946-960.

Research output: Contribution to journalArticle

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