Corrigendum to “Elastic–plastic spherical indentation: Deformation regimes, evolution of plasticity, and hardening effect” [Mech. Mater. 61 (2013) 91–100]

Mechanics of Materials 91 (2015) 262

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Corrigendum

Corrigendum to ‘‘Elastic–plastic spherical indentation: Deformation regimes, evolution of plasticity, and hardening effect” [Mech. Mater. 61 (2013) 91–100] Z. Song, K. Komvopoulos ⇑ Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA

The authors regret for the existence of the following errors in the above mentioned article. (1) On page 96 (the paragraphs before Eqs. (13) and (14)) and page 99 (bottom of left column), the coefficient 0.553 in the upper limit should be changed to 0.053. Thus, the range of  d corresponding to the NLEP and TFP deformation regimes is: 1

½0:54 þ 0:25ðE =YÞ

6 d 6 ½0:82 þ 0:053ðE =YÞ

1

(2) On page 96, the minus sign in front of the term multiplying  d2 must be changed to a plus sign. Thus, the correct Eq. (14) is

"


 1=2 # 
  1 E E d  þ 0:39 þ 0:03 a¼ 1 2 Y Y "
 2 # E d2 þ 0:86  0:0004 Y

ð14Þ

(3) It should be noted that Eq. (14) is more applicable for relatively high E =Y values, and that a fairly large gap is encountered with low E =Y values, as shown in the Table below. Eq. (15) was derived for the steady-state fully plastic regime (SSFP). Eq. (14) was obtained by fitting the FEA data points in the

DOI of original article: http://dx.doi.org/10.1016/j.mechmat. 2013.01.003 ⇑ Corresponding author. Tel.: +1 510 642 2563; fax: +1 510 642 5539. E-mail address: [email protected] (K. Komvopoulos). http://dx.doi.org/10.1016/j.mechmat.2015.08.003 0167-6636/Ó 2015 Elsevier Ltd. All rights reserved.

LEP, NLEP, and TFP deformation regimes. However, because it was almost impossible to simulate fully plastic deformation of materials characterised by a high yield strain (e.g., E =Y = 11 and 22), a limited number of data points could be obtained for the TFP regime. Consequently, fully plastic deformation of materials with small E =Y was not sufficiently represented in the curve fitting. As a result, Eq. (14) shows a relatively large deviation at the boundary of the TFP and SSFP deformation regimes.

E =Y

 d

 (Eq. (14)) a

 (Eq. (15)) a

11 22 55 110 220 550 1100

0.712758375 0.503524673 0.267737617 0.15037594 0.080128205 0.0333667 0.01691475

1.274743043 1.091057669 0.953675552 0.917214654 0.907606369 0.908487224 0.91147734

0.804560158 0.851884297 0.897334364 0.922193998 0.941034077 0.959128074 0.969024873

The authors would like to apologise for any inconvenience caused to readers by these errors.