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 language | English |
|---|---|
| Pages (from-to) | 946-960 |
| Number of pages | 15 |
| Journal | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik |
| Volume | 97 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2017 Aug 1 |
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All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Applied Mathematics
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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 journal › Article
TY - JOUR
T1 - The multiple fields created by two perfectly-conducting punches on piezoelectric/piezomagnetic materials with anisotropy
AU - Zhou, Yue Ting
AU - Lee, Kang Yong
AU - Jang, Yong Hoon
AU - Li, Jian
PY - 2017/8/1
Y1 - 2017/8/1
N2 - 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.
AB - 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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U2 - 10.1002/zamm.201600097
DO - 10.1002/zamm.201600097
M3 - Article
AN - SCOPUS:85013192723
VL - 97
SP - 946
EP - 960
JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
SN - 0044-2267
IS - 8
ER -