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Correction

Correction: Liu, C.H.; Lacidogna, G. Analytical Solutions and Case Studies on Stress-Dependent Corrosion in Pressurized Spherical Vessels. Metals 2023, 13, 1918

by
Cheng Huijuan Liu
1 and
Giuseppe Lacidogna
2,*
1
Department of Mathematics, Aberystwyth University, Aberystwyth SY23 3BZ, UK
2
Department of Structural, Geotechnical and Building Engineering, Politecnico di Torino, 10129 Turin, Italy
*
Author to whom correspondence should be addressed.
Metals 2025, 15(12), 1343; https://doi.org/10.3390/met15121343
Submission received: 8 October 2025 / Accepted: 14 November 2025 / Published: 8 December 2025
(This article belongs to the Section Corrosion and Protection)
There was an error in the original publication [1]. A typing error occurred when copying equations. The correct form of m = is m = = ( m i m o ) 2 Δ p r c m , whereas it was incorrectly written as m = = ( m i m o ) . Consequently, other equations derived later in the text have been corrected.
In Section 2.1.2, for solving σ ( t ) , paragraph 4 has been corrected as follows:
“Here, a ˜ = a i + a o m o Δ p / 2 , m = m i + m o , a ¯ ¯ = a i a o + m o Δ p / 2 , m ¯ ¯ = ( m i m o ) 2 Δ p r c m , δ = ( p i + 3 p o ) / 4 , and Δ p = p i p o .”
In Section 3.1, Promotion of the Boundary Stress, σ , paragraph 1, a line below Equations (14a) and (14b) has been corrected as follows:
“where a ˜ = a i + a o m o Δ p / 2 + ( m i m o ) 2 Δ p r c m ( m i + m o ) / 2 / r c
In Section 3.2, Improvement of the Vessel Thickness, h , paragraph 2, the equation for the d value has been corrected as follows:
d = [ h o ( p i p o ) ( m i m o ) 2 Δ p r c m + 2 r c o ( p i p o ) ( m i + m o ) ]
In Section 3.3, Presentation of the Vessel Mid-Surface Radius, r c , in Time, paragraph 1, a line below Equations (16a) and (16b) has been corrected as follows:
“where A = ( a o + a i m o 3 p i + p o 4 m i p i + 3 p o 4 ) / 2 1 4 ( p i p o ) ( m i m o ) 2 Δ p r c m b 1 + c / r c o e , and B = 1 4 ( p i p o ) ( m i m o ) 2 Δ p r c m d e .”
The authors state that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.

Reference

  1. Liu, C.H.; Lacidogna, G. Analytical Solutions and Case Studies on Stress-Dependent Corrosion in Pressurized Spherical Vessels. Metals 2023, 13, 1918. [Google Scholar] [CrossRef]
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MDPI and ACS Style

Liu, C.H.; Lacidogna, G. Correction: Liu, C.H.; Lacidogna, G. Analytical Solutions and Case Studies on Stress-Dependent Corrosion in Pressurized Spherical Vessels. Metals 2023, 13, 1918. Metals 2025, 15, 1343. https://doi.org/10.3390/met15121343

AMA Style

Liu CH, Lacidogna G. Correction: Liu, C.H.; Lacidogna, G. Analytical Solutions and Case Studies on Stress-Dependent Corrosion in Pressurized Spherical Vessels. Metals 2023, 13, 1918. Metals. 2025; 15(12):1343. https://doi.org/10.3390/met15121343

Chicago/Turabian Style

Liu, Cheng Huijuan, and Giuseppe Lacidogna. 2025. "Correction: Liu, C.H.; Lacidogna, G. Analytical Solutions and Case Studies on Stress-Dependent Corrosion in Pressurized Spherical Vessels. Metals 2023, 13, 1918" Metals 15, no. 12: 1343. https://doi.org/10.3390/met15121343

APA Style

Liu, C. H., & Lacidogna, G. (2025). Correction: Liu, C.H.; Lacidogna, G. Analytical Solutions and Case Studies on Stress-Dependent Corrosion in Pressurized Spherical Vessels. Metals 2023, 13, 1918. Metals, 15(12), 1343. https://doi.org/10.3390/met15121343

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