The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Des expressions simples pour la résistance à la constriction d’une multitude de points conducteurs ont été formulées analytiquement par Greenwood. Ces expressions comportent cependant quelques approximations. Nakamura a présenté que la résistance à la constriction d'un point circulaire calculée à l'aide du BEM est proche de la valeur exacte de Maxwell. Cette erreur relative est seulement e=0. 00162 [%]. Dans cette étude, les résistances de constriction de deux, cinq et dix points conducteurs sont calculées à l'aide de la méthode des éléments limites (BEM) et comparées à celles obtenues à l'aide des expressions de Greenwood. À mesure que les points conducteurs se rapprochent les uns des autres, les écarts numériques entre les résistances de constriction calculées à l'aide des expressions de Greenwood et le BEM augmentent. En conséquence, la résistance mutuelle calculée par le BEM est plus grande que celle obtenue à partir des expressions de Greenwood. Les écarts numériques entre les résistances totales calculées par les expressions de Greenwood et celles du BEM sont faibles. Par conséquent, les expressions de Greenwood sont valables pour le calcul de la résistance totale de constriction et peuvent être appliquées à des problèmes où seule la résistance totale de deux surfaces de contact, comme un relais et un interrupteur, est requise. Cependant, les écarts numériques entre les résistances partielles calculées par l'expression de Greenwood et celles du BEM sont très importantes. Les calculs de résistance partielle d'une multitude de points conducteurs dépassent la plage applicable de l'expression de Greenwood, puisque l'expression de Greenwood pour la résistance à la constriction de deux points conducteurs est obtenue en supposant que les points conducteurs sont de taille égale. En particulier, l’écart entre les résistances des points conducteurs proches les uns des autres est très important. Dans le cas de résistances partielles significatives dans les dispositifs semi-conducteurs, les expressions de Greenwood ne peuvent pas être utilisées avec une grande précision.
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Hitoshi NISHIYAMA, Isao MINOWA, "A Study of the Approximate Expressions for Constriction Resistance of Multitude Conducting Spots" in IEICE TRANSACTIONS on Electronics,
vol. E82-C, no. 1, pp. 25-32, January 1999, doi: .
Abstract: Simple expressions for constriction resistance of multitude conducting spots were analytically formulated by Greenwood. These expressions, however, include some approximations. Nakamura presented that the constriction resistance of one circular spot computed using the BEM is closed to Maxwell's exact value. This relative error is only e=0. 00162 [%]. In this study, the constriction resistances of two, five and ten conducting spots are computed using the boundary element method (BEM), and compared with those obtained using Greenwood's expressions. As the conducting spots move close to each other, the numerical deviations between constriction resistances computed using Greenwood's expressions and the BEM increase. As a result, mutual resistance computed by the BEM is larger than that obtained from Greenwood's expressions. The numerical deviations between the total resistances computed by Greenwood's expressions and that by the BEM are small. Hence, Greenwood's expressions are valid for the total constriction resistance calculation and can be applied to problems where only the total resistance of two contact surfaces, such as a relay and a switch, is required. However, the numerical deviations between the partial resistances computed by Greenwood's expression and that by the BEM are very large. The partial resistance calculations of multitude conducting spots are beyond the applicable range of Greenwood's expression, since Greenwood's expression for constriction resistance of two conducting spots is obtained by assuming that the conducting spots are equal size. In particular, the deviation between resistances of conducting spots, which are close to each other, is very large. In the case of partial resistances which are significant in semiconductor devices, Greenwood's expressions cannot be used with high precision.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e82-c_1_25/_p
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@ARTICLE{e82-c_1_25,
author={Hitoshi NISHIYAMA, Isao MINOWA, },
journal={IEICE TRANSACTIONS on Electronics},
title={A Study of the Approximate Expressions for Constriction Resistance of Multitude Conducting Spots},
year={1999},
volume={E82-C},
number={1},
pages={25-32},
abstract={Simple expressions for constriction resistance of multitude conducting spots were analytically formulated by Greenwood. These expressions, however, include some approximations. Nakamura presented that the constriction resistance of one circular spot computed using the BEM is closed to Maxwell's exact value. This relative error is only e=0. 00162 [%]. In this study, the constriction resistances of two, five and ten conducting spots are computed using the boundary element method (BEM), and compared with those obtained using Greenwood's expressions. As the conducting spots move close to each other, the numerical deviations between constriction resistances computed using Greenwood's expressions and the BEM increase. As a result, mutual resistance computed by the BEM is larger than that obtained from Greenwood's expressions. The numerical deviations between the total resistances computed by Greenwood's expressions and that by the BEM are small. Hence, Greenwood's expressions are valid for the total constriction resistance calculation and can be applied to problems where only the total resistance of two contact surfaces, such as a relay and a switch, is required. However, the numerical deviations between the partial resistances computed by Greenwood's expression and that by the BEM are very large. The partial resistance calculations of multitude conducting spots are beyond the applicable range of Greenwood's expression, since Greenwood's expression for constriction resistance of two conducting spots is obtained by assuming that the conducting spots are equal size. In particular, the deviation between resistances of conducting spots, which are close to each other, is very large. In the case of partial resistances which are significant in semiconductor devices, Greenwood's expressions cannot be used with high precision.},
keywords={},
doi={},
ISSN={},
month={January},}
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TY - JOUR
TI - A Study of the Approximate Expressions for Constriction Resistance of Multitude Conducting Spots
T2 - IEICE TRANSACTIONS on Electronics
SP - 25
EP - 32
AU - Hitoshi NISHIYAMA
AU - Isao MINOWA
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E82-C
IS - 1
JA - IEICE TRANSACTIONS on Electronics
Y1 - January 1999
AB - Simple expressions for constriction resistance of multitude conducting spots were analytically formulated by Greenwood. These expressions, however, include some approximations. Nakamura presented that the constriction resistance of one circular spot computed using the BEM is closed to Maxwell's exact value. This relative error is only e=0. 00162 [%]. In this study, the constriction resistances of two, five and ten conducting spots are computed using the boundary element method (BEM), and compared with those obtained using Greenwood's expressions. As the conducting spots move close to each other, the numerical deviations between constriction resistances computed using Greenwood's expressions and the BEM increase. As a result, mutual resistance computed by the BEM is larger than that obtained from Greenwood's expressions. The numerical deviations between the total resistances computed by Greenwood's expressions and that by the BEM are small. Hence, Greenwood's expressions are valid for the total constriction resistance calculation and can be applied to problems where only the total resistance of two contact surfaces, such as a relay and a switch, is required. However, the numerical deviations between the partial resistances computed by Greenwood's expression and that by the BEM are very large. The partial resistance calculations of multitude conducting spots are beyond the applicable range of Greenwood's expression, since Greenwood's expression for constriction resistance of two conducting spots is obtained by assuming that the conducting spots are equal size. In particular, the deviation between resistances of conducting spots, which are close to each other, is very large. In the case of partial resistances which are significant in semiconductor devices, Greenwood's expressions cannot be used with high precision.
ER -