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Correction to: Comparison between thick level set (TLS) and cohesive zone models

Correction to: Comparison between thick level set (TLS) and cohesive zone models Parrilla Gómez et al. Adv. Model. and Simul. in Eng. Sci. (2017) 4:4 DOI 10.1186/s40323-017-0091-2 C O R R E C T I O N Open Access Correction to: Comparison between thick level set (TLS) and cohesive zone models 1 1* 1,2 Andrés Parrilla Gómez , Nicolas Moës and Claude Stolz Correction Correspondence: nicolas.moes@ec-nantes.fr In the publication of this article [1], there was an error in some equations. GeM, UMR CNRS 6183, Ecole Centrale de Nantes, 1 rue de la • Equation (37) should instead read: Noë, 44321 Nantes, France Full list of author information is available at the end of the article 1 − g (d()) dam ˜ ˜ σˆ = F(λI σˆ)and h(φ)dφ =−g (0) σˆ (1) dam φ=0 g (d()) dam � Equation (38) should instead read: 1 − g (d(φ)) dam ˜ ˜ σˆ = F(λI σˆ)and h(φ)dφ =−g (0) σˆ (2) dam g (d(φ)) dam � Equation (45) should instead read: d(φ) ˜ ˜ σˆ = F(λI σˆ)and h(φ)dφ = σˆ (3) 1 − d(φ) � Equation (49) should instead read: 2 φ 2 ˆ ˆ ˆ φ 2φ − φ ˜ ˜ σˆ = F λ σˆ and h(φ)dφ = σˆ (4) ˆ ˆ 1 − φ (φ − 1) � Equation (50) should instead read: φ 2 ˆ ˆ ˆ 1 − φ 2φ − φ ˆ ˜ ˜ σˆ (φ) = and h(φ)dφ = (5) 2 2 2 ˆ ˆ ˆ ˆ 1 − φ + λφ (1 − φ + λφ ) � Equation (63) should instead read: ˆ ˜ ˜ H(φ) = h(φ)dφ (6) � Equation (65) should instead read: λ ≤ (7) © The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. 0123456789().,–: vol Parrilla Gómez et al. Adv. Model. and Simul. in Eng. Sci. (2017) 4:4 Page 2 of 2 � Equation (70) should instead read: (h(d)Y ) c n μ = min (8) � In Eq. (75), the expression of β should instead read: d (φ/ ) h (d) 1 − dφ φ=0 ρ(s) β = Y (9) n c d (φ/ ) φ 1 − dφ φ=0 ρ(s) � Equation (76) should instead read: φ β − f pred max n n μ < (10) � Equation (77) should instead read: φ β − f pred max n n μ = min (11) � Equation (78) should instead read: (h(d)Y ) c n corr μ = (12) φmax βn −fn arg min n α This has now been included in this erratum. Author details 1 2 GeM, UMR CNRS 6183, Ecole Centrale de Nantes, 1 rue de la Noë, 44321 Nantes, France, IMSIA, UMR CNRS 9219, EdF, Av. Charles de Gaulle, 92141 Clamart, France. The original article can be found online at https://doi.org/10.1186/s40323-015-0041-9. Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Received: 25 October 2017 Accepted: 25 October 2017 Reference 1. Gómez AP, Moës N, Stolz C. Comparison between thick level set (TLS) and cohesive zone models. Adv. Model. and Simul. in Eng. Sci. 2015;2:18. https://doi.org/10.1186/s40323-015-0041-9. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Advanced Modeling and Simulation in Engineering Sciences" Springer Journals

Correction to: Comparison between thick level set (TLS) and cohesive zone models

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Springer Journals
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2017 The Author(s)
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2213-7467
DOI
10.1186/s40323-017-0091-2
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Abstract

Parrilla Gómez et al. Adv. Model. and Simul. in Eng. Sci. (2017) 4:4 DOI 10.1186/s40323-017-0091-2 C O R R E C T I O N Open Access Correction to: Comparison between thick level set (TLS) and cohesive zone models 1 1* 1,2 Andrés Parrilla Gómez , Nicolas Moës and Claude Stolz Correction Correspondence: nicolas.moes@ec-nantes.fr In the publication of this article [1], there was an error in some equations. GeM, UMR CNRS 6183, Ecole Centrale de Nantes, 1 rue de la • Equation (37) should instead read: Noë, 44321 Nantes, France Full list of author information is available at the end of the article 1 − g (d()) dam ˜ ˜ σˆ = F(λI σˆ)and h(φ)dφ =−g (0) σˆ (1) dam φ=0 g (d()) dam � Equation (38) should instead read: 1 − g (d(φ)) dam ˜ ˜ σˆ = F(λI σˆ)and h(φ)dφ =−g (0) σˆ (2) dam g (d(φ)) dam � Equation (45) should instead read: d(φ) ˜ ˜ σˆ = F(λI σˆ)and h(φ)dφ = σˆ (3) 1 − d(φ) � Equation (49) should instead read: 2 φ 2 ˆ ˆ ˆ φ 2φ − φ ˜ ˜ σˆ = F λ σˆ and h(φ)dφ = σˆ (4) ˆ ˆ 1 − φ (φ − 1) � Equation (50) should instead read: φ 2 ˆ ˆ ˆ 1 − φ 2φ − φ ˆ ˜ ˜ σˆ (φ) = and h(φ)dφ = (5) 2 2 2 ˆ ˆ ˆ ˆ 1 − φ + λφ (1 − φ + λφ ) � Equation (63) should instead read: ˆ ˜ ˜ H(φ) = h(φ)dφ (6) � Equation (65) should instead read: λ ≤ (7) © The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. 0123456789().,–: vol Parrilla Gómez et al. Adv. Model. and Simul. in Eng. Sci. (2017) 4:4 Page 2 of 2 � Equation (70) should instead read: (h(d)Y ) c n μ = min (8) � In Eq. (75), the expression of β should instead read: d (φ/ ) h (d) 1 − dφ φ=0 ρ(s) β = Y (9) n c d (φ/ ) φ 1 − dφ φ=0 ρ(s) � Equation (76) should instead read: φ β − f pred max n n μ < (10) � Equation (77) should instead read: φ β − f pred max n n μ = min (11) � Equation (78) should instead read: (h(d)Y ) c n corr μ = (12) φmax βn −fn arg min n α This has now been included in this erratum. Author details 1 2 GeM, UMR CNRS 6183, Ecole Centrale de Nantes, 1 rue de la Noë, 44321 Nantes, France, IMSIA, UMR CNRS 9219, EdF, Av. Charles de Gaulle, 92141 Clamart, France. The original article can be found online at https://doi.org/10.1186/s40323-015-0041-9. Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Received: 25 October 2017 Accepted: 25 October 2017 Reference 1. Gómez AP, Moës N, Stolz C. Comparison between thick level set (TLS) and cohesive zone models. Adv. Model. and Simul. in Eng. Sci. 2015;2:18. https://doi.org/10.1186/s40323-015-0041-9.

Journal

"Advanced Modeling and Simulation in Engineering Sciences"Springer Journals

Published: Dec 1, 2017

References