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Corrigendum to “Multiplicative AF kinematic hardening in plasticity” [International Journal of Solids and Structures 45 (2008) 2861–2880]
International Journal of Solids and Structures 45 (2008) 4878
Contents lists available at ScienceDirect
International Journal of Solids and Structures journal homepage: www.elsevier.com/locate/ijsolstr
Corrigendum
Corrigendum to ‘‘Multiplicative AF kinematic hardening in plasticity” [International Journal of Solids and Structures 45 (2008) 2861–2880] Yannis F. Dafalias a,b,*, Kyriakos I. Kourousis a, George J. Saridis a a Department of Mechanics, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Zographou Campus, 15773 Hellas, Greece b Department of Civil and Environmental Engineering, University of California at Davis, 1 Shields Avenue, Davis, CA 95616, USA
qffiffi qffiffi In the third and fourth lines after Eq. (9) and the fourth line after Eq. (20c), the 23c must be changed to 32c. Because of this correction and to obtain the uniaxial formulation from the multiaxial under uniaxial stress loading conditions, the following changes must be made: qffiffi In Eqs. (20b) andq (21b), the 23c1 must be changed to c1 . qffiffi ffiffi 2 c must be changed to 32c 1 . qffiffi3 1 2 In Eq. (21c), the 3c1 must q beffiffi changed to c . 1
In Eq. (21b), the
In Eqs. (22c) and (22d), the
2 c 3 4
must be changed to c4 .
None of the above changes bears any consequence on the reported results and simulations because they were obtained directly from the uniaxial formulation. In addition the following typographical p errors ffiffiffiffiffiffiffiffi must be corrected: pffiffiffiffiffiffiffiffi In the second line after Eq. (2), the n ¼ 2=3ðs aÞ=k must be changed to n ¼ 3=2ðs aÞ=k. s s In Eq. (5) and the fourth line of page 2864, the a n must be changed to a n. In Eq. (21c) the brackets [ ] must be deleted.
q DOI of original article: 10.1016/j.ijsolstr.2008.01.001 * Corresponding author. Address: Department of Civil and Environmental Engineering, University of California at Davis, 1 Shields Avenue, Davis, CA 95616, USA. Tel.: +1 530 752 3423; fax: +1 510 752 7872. E-mail address: [email protected] (Y.F. Dafalias).
0020-7683/$ - see front matter Ó 2008 Elsevier Ltd. All rights reserved. doi:10.1016/j.ijsolstr.2008.04.010
Contents lists available at ScienceDirect
International Journal of Solids and Structures journal homepage: www.elsevier.com/locate/ijsolstr
Corrigendum
Corrigendum to ‘‘Multiplicative AF kinematic hardening in plasticity” [International Journal of Solids and Structures 45 (2008) 2861–2880] Yannis F. Dafalias a,b,*, Kyriakos I. Kourousis a, George J. Saridis a a Department of Mechanics, School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Zographou Campus, 15773 Hellas, Greece b Department of Civil and Environmental Engineering, University of California at Davis, 1 Shields Avenue, Davis, CA 95616, USA
qffiffi qffiffi In the third and fourth lines after Eq. (9) and the fourth line after Eq. (20c), the 23c must be changed to 32c. Because of this correction and to obtain the uniaxial formulation from the multiaxial under uniaxial stress loading conditions, the following changes must be made: qffiffi In Eqs. (20b) andq (21b), the 23c1 must be changed to c1 . qffiffi ffiffi 2 c must be changed to 32c 1 . qffiffi3 1 2 In Eq. (21c), the 3c1 must q beffiffi changed to c . 1
In Eq. (21b), the
In Eqs. (22c) and (22d), the
2 c 3 4
must be changed to c4 .
None of the above changes bears any consequence on the reported results and simulations because they were obtained directly from the uniaxial formulation. In addition the following typographical p errors ffiffiffiffiffiffiffiffi must be corrected: pffiffiffiffiffiffiffiffi In the second line after Eq. (2), the n ¼ 2=3ðs aÞ=k must be changed to n ¼ 3=2ðs aÞ=k. s s In Eq. (5) and the fourth line of page 2864, the a n must be changed to a n. In Eq. (21c) the brackets [ ] must be deleted.
q DOI of original article: 10.1016/j.ijsolstr.2008.01.001 * Corresponding author. Address: Department of Civil and Environmental Engineering, University of California at Davis, 1 Shields Avenue, Davis, CA 95616, USA. Tel.: +1 530 752 3423; fax: +1 510 752 7872. E-mail address: [email protected] (Y.F. Dafalias).
0020-7683/$ - see front matter Ó 2008 Elsevier Ltd. All rights reserved. doi:10.1016/j.ijsolstr.2008.04.010