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Corrigendum to “A finite element formulation of non-smooth contact based on oriented volumes for quadrilateral and hexahedral elements” [Comput. Methods Appl. Mech. Engrg. 196 (2007) 4690–4711]
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Comput. Methods Appl. Mech. Engrg. 197 (2008) 883 www.elsevier.com/locate/cma
Corrigendum
Corrigendum to ‘‘A finite element formulation of non-smooth contact based on oriented volumes for quadrilateral and hexahedral elements’’ [Comput. Methods Appl. Mech. Engrg. 196 (2007) 4690–4711] G. Haikal, K.D. Hjelmstad
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Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, 205 N. Mathews Avenue, Urbana, IL, USA Available online 24 August 2007
Please note the following typographical errors in the article: 1. The sentence ‘‘...evaluated at the master node’’ in line 11 of the introduction should read ‘‘...evaluated at the slave node’’. R tnþ1 R tnþ1 2. Line 2 of Eq. (38) ‘‘¼ tn u ½V þ T þ Tc Fdt’’ should be changed to ¼ tn u ½V þ T þ Fc Fdt. 3. Dr Æ DkE = { }DkE in Eq. (75) should be changed to Dr Æ DkE = { }DkE. rðyÞ rðyÞ in Eq. (78) should be changed to . . . ¼ . 4. . . . ¼ gð2y dn Þ gð2y dn Þ 5. Eq. (A.17) is to be corrected as T T 1 a 1 a a a a T Hc Du ¼ DTa ½JT p ej rf N Jp Pp Du Pp Jp ½rf N Du þ rf ðrf N ÞJp Pp Du x Jp ej n o T T T T T 1 a 1 a a a ¼ DTa ½JT p ej rf N Jp Pp þ Pp Jp ½rf N Jp ej Da þ Pp Jp t½c rf ðrf N ÞJp Pp Du n o T 1 a a ¼ ½Tc þ Tc þ PTp JT p ½c rf ðrf N ÞJp Pp Du
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DOI of original article: 10.1016/j.cma.2007.06.002 Corresponding author. Tel.: +1 217 244 3822; fax: +1 217 244 4974. E-mail address: [email protected] (K.D. Hjelmstad).
0045-7825/$ - see front matter Ó 2007 Published by Elsevier B.V. doi:10.1016/j.cma.2007.08.003
Comput. Methods Appl. Mech. Engrg. 197 (2008) 883 www.elsevier.com/locate/cma
Corrigendum
Corrigendum to ‘‘A finite element formulation of non-smooth contact based on oriented volumes for quadrilateral and hexahedral elements’’ [Comput. Methods Appl. Mech. Engrg. 196 (2007) 4690–4711] G. Haikal, K.D. Hjelmstad
*
Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, 205 N. Mathews Avenue, Urbana, IL, USA Available online 24 August 2007
Please note the following typographical errors in the article: 1. The sentence ‘‘...evaluated at the master node’’ in line 11 of the introduction should read ‘‘...evaluated at the slave node’’. R tnþ1 R tnþ1 2. Line 2 of Eq. (38) ‘‘¼ tn u ½V þ T þ Tc Fdt’’ should be changed to ¼ tn u ½V þ T þ Fc Fdt. 3. Dr Æ DkE = { }DkE in Eq. (75) should be changed to Dr Æ DkE = { }DkE. rðyÞ rðyÞ in Eq. (78) should be changed to . . . ¼ . 4. . . . ¼ gð2y dn Þ gð2y dn Þ 5. Eq. (A.17) is to be corrected as T T 1 a 1 a a a a T Hc Du ¼ DTa ½JT p ej rf N Jp Pp Du Pp Jp ½rf N Du þ rf ðrf N ÞJp Pp Du x Jp ej n o T T T T T 1 a 1 a a a ¼ DTa ½JT p ej rf N Jp Pp þ Pp Jp ½rf N Jp ej Da þ Pp Jp t½c rf ðrf N ÞJp Pp Du n o T 1 a a ¼ ½Tc þ Tc þ PTp JT p ½c rf ðrf N ÞJp Pp Du
*
DOI of original article: 10.1016/j.cma.2007.06.002 Corresponding author. Tel.: +1 217 244 3822; fax: +1 217 244 4974. E-mail address: [email protected] (K.D. Hjelmstad).
0045-7825/$ - see front matter Ó 2007 Published by Elsevier B.V. doi:10.1016/j.cma.2007.08.003