- Email: [email protected]
Erratum to “A framework for determining the bonding intensity in hydroentangled nonwoven fabrics” [Compos Sci Technol 66(1) (2006) 80–91]
COMPOSITES SCIENCE AND TECHNOLOGY Composites Science and Technology 67 (2007) 2219 www.elsevier.com/locate/compscitech
Erratum
Erratum to ‘‘A framework for determining the bonding intensity in hydroentangled nonwoven fabrics’’ [Compos Sci Technol 66(1) (2006) 80–91] N. Mao *, S.J. Russell Nonwovens Research Group, Centre for Technical Textiles, University of Leeds, Woodhouse Lane, Leeds LS2 9JT, United Kingdom Available online 19 January 2007
Dear Editor, There is a typo error in Eq. (5) on page 84 of our paper, and would like to give an erratum. We apologize for any inconvenience caused. 1. Eq. (5) should read mAw 1 4mn 2 N ¼p 2 ¼ 2 ðNumber of fibres=m Þ v d q q pd b f f 4 f f
q0:5 C d p0:5 D2 d 3x w mvb
1 gE0 T 2 ðNm2 Þ ð15Þ 4p qf pgEd 4f 64 R¼ 103 ðNm2 Þ or E ¼ 103 ðNm2 Þ ð16Þ 64 pgEd 4f
R¼
ð12Þ
sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi! 48 Ed 2f mv2b K 2 1þ 1þ 2 2 p g qw qf nC 2d pD4 d 3x ð13Þ
*
ð14Þ
On page 88 ð5Þ
2. Due to the typo in Eq. (5) the following should be written as, On page 85 pffiffiffi 2pg qf y¼ 12 Ed 2f sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi! 0:5 2 3 q0:5 48 Ed 2f mv2b K 2 w Cdp D b 1þ 1þ 2 2 p g qw qf nC 2d pD4 b3 mvb pffiffiffi 2pg qf y¼ 12 Ed 2f
On page 86 pffiffiffi 0:5 2 3 2g nq0:5 w Cdp D d x H ¼ yN ¼ vb 3Ed 4f sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi! 48 Ed 2f mv2b K 2 1þ 1þ 2 2 p g qw qf nC 2d pD4 d 3x
DOI of original article: 10.1016/j.compscitech.2005.05.030. Corresponding author. Tel.: +44 113 3433790; fax: +44 113 3433704. E-mail address: [email protected] (N. Mao).
0266-3538/$ - see front matter Ó 2007 Elsevier Ltd. All rights reserved. doi:10.1016/j.compscitech.2006.12.021
H¼
2 0:5 3 2:27 102 nq0:5 w CdD p d x R sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi vb ffi
! 1:03 103 R mv2b K 2 1þ 1þ nqw C 2d D4 d 3x p d 2f qf sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi 1:03 103 R mv2b K 2 1 then If 1 þ nqw C 2d D4 d 3x p d 2f qf 0:5 1:5 0:75 1:5 7:68 m nC d p Dd x H v q0:25 R0:5 q0:5 d b f w f H¼
0:5 3:5 1:5 5:31 nq0:5 w Cdp D x R vb sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ! 4:4 102 R mv2b K 2 1þ 1þ nqw C 2d pD5:5 x1:5 d 2f qf
ð17Þ
ð18Þ
ð20Þ
Erratum
Erratum to ‘‘A framework for determining the bonding intensity in hydroentangled nonwoven fabrics’’ [Compos Sci Technol 66(1) (2006) 80–91] N. Mao *, S.J. Russell Nonwovens Research Group, Centre for Technical Textiles, University of Leeds, Woodhouse Lane, Leeds LS2 9JT, United Kingdom Available online 19 January 2007
Dear Editor, There is a typo error in Eq. (5) on page 84 of our paper, and would like to give an erratum. We apologize for any inconvenience caused. 1. Eq. (5) should read mAw 1 4mn 2 N ¼p 2 ¼ 2 ðNumber of fibres=m Þ v d q q pd b f f 4 f f
q0:5 C d p0:5 D2 d 3x w mvb
1 gE0 T 2 ðNm2 Þ ð15Þ 4p qf pgEd 4f 64 R¼ 103 ðNm2 Þ or E ¼ 103 ðNm2 Þ ð16Þ 64 pgEd 4f
R¼
ð12Þ
sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi! 48 Ed 2f mv2b K 2 1þ 1þ 2 2 p g qw qf nC 2d pD4 d 3x ð13Þ
*
ð14Þ
On page 88 ð5Þ
2. Due to the typo in Eq. (5) the following should be written as, On page 85 pffiffiffi 2pg qf y¼ 12 Ed 2f sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi! 0:5 2 3 q0:5 48 Ed 2f mv2b K 2 w Cdp D b 1þ 1þ 2 2 p g qw qf nC 2d pD4 b3 mvb pffiffiffi 2pg qf y¼ 12 Ed 2f
On page 86 pffiffiffi 0:5 2 3 2g nq0:5 w Cdp D d x H ¼ yN ¼ vb 3Ed 4f sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi! 48 Ed 2f mv2b K 2 1þ 1þ 2 2 p g qw qf nC 2d pD4 d 3x
DOI of original article: 10.1016/j.compscitech.2005.05.030. Corresponding author. Tel.: +44 113 3433790; fax: +44 113 3433704. E-mail address: [email protected] (N. Mao).
0266-3538/$ - see front matter Ó 2007 Elsevier Ltd. All rights reserved. doi:10.1016/j.compscitech.2006.12.021
H¼
2 0:5 3 2:27 102 nq0:5 w CdD p d x R sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi vb ffi
! 1:03 103 R mv2b K 2 1þ 1þ nqw C 2d D4 d 3x p d 2f qf sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi 1:03 103 R mv2b K 2 1 then If 1 þ nqw C 2d D4 d 3x p d 2f qf 0:5 1:5 0:75 1:5 7:68 m nC d p Dd x H v q0:25 R0:5 q0:5 d b f w f H¼
0:5 3:5 1:5 5:31 nq0:5 w Cdp D x R vb sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ! 4:4 102 R mv2b K 2 1þ 1þ nqw C 2d pD5:5 x1:5 d 2f qf
ð17Þ
ð18Þ
ð20Þ