Erratum for “New Model for Ductile Fracture of Metal Alloys. I: Monotonic Loading” by Huajie Wen and Hussam Mahmoud

Wen, Huajie; Mahmoud, Hussam

doi:10.1061/(ASCE)EM.1943-7889.0001135

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Jun 16, 2016

Erratum for “New Model for Ductile Fracture of Metal Alloys. I: Monotonic Loading” by Huajie Wen and Hussam Mahmoud

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Authors: Huajie Wen, S.M.ASCE [email protected], and Hussam Mahmoud, M.ASCE [email protected]Author Affiliations

Publication: Journal of Engineering Mechanics

Volume 142, Issue 8

https://doi.org/10.1061/(ASCE)EM.1943-7889.0001135

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During composition, the exponential function in some equations was erroneously presented as the power function. The corrected equations are given here:

{\bar{ε}}_{f} = 0.3574 \exp (- 0.5063 η)

(30)

{\bar{ε}}_{f} = c_{1} \exp (c_{2} η) or \int_{0}^{{\bar{ε}}_{f}} c_{1} \exp (c_{2} η) d \bar{ε} = D_{c}

(33)

{\bar{ε}}_{f} = c_{4} + c_{5} \exp (c_{6} η)

(36)

{\bar{ε}}_{f} = [\frac{1}{2} (ε_{f}^{+} + ε_{f}^{-}) - ε_{f}^{0}] {\bar{θ}}^{2} + \frac{1}{2} (ε_{f}^{+} - ε_{f}^{-}) \bar{θ} + ε_{f}^{0} = {\frac{1}{2} [D_{1} \exp (- D_{2} η) + D_{5} \exp (- D_{6} η)] - D_{3} \exp (- D_{3} η)} {\bar{θ}}^{2} + \frac{1}{2} (D_{1} \exp (- D_{2} η) - D_{5} \exp (- D_{6} η)) \bar{θ} + D_{3} \exp (- D_{3} η)

(41)

Eq. (39) also needs revision, including deleting a repeated expression. The correct version appears herein.

Modified Mohr-Coulomb criterion (Bai and Wierzbicki 2010):

{\bar{ε}}_{f} = {c_{22} \cdot [c_{23} + \frac{\sqrt{3}}{2 - \sqrt{3}} (c_{θ}^{a x} (\bar{θ}) - c_{23}) (\sec (\frac{π}{6} \bar{θ}) - 1)] \cdot [\sqrt{\frac{1 + c_{21}^{2}}{3}} \cos (\frac{π}{6} \bar{θ}) + c_{21} (η + \frac{1}{3} \sin (\frac{π}{6} \bar{θ}))]}^{- \frac{1}{n}}

(39)

ASCE regrets the errors.

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Journal of Engineering Mechanics

Volume 142 • Issue 8 • August 2016

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Received: Apr 22, 2016

Accepted: Apr 27, 2016

Published online: Jun 16, 2016

Published in print: Aug 1, 2016

Discussion open until: Nov 16, 2016

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Huajie Wen, S.M.ASCE [email protected]

Ph.D. Student, Colorado State Univ., Fort Collins, CO 80523-1372. E-mail: [email protected]

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Hussam Mahmoud, M.ASCE [email protected]

Assistant Professor, Dept. of Civil and Environmental Engineering, School of Biomedical Engineering, Colorado State Univ., Fort Collins, CO 80523-1372 (corresponding author). E-mail: [email protected]

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