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

Cheng Huijuan Liu; Giuseppe Lacidogna

doi:10.3390/met15121343

and

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.

Metals2025, 15(12), 1343;https://doi.org/10.3390/met15121343

This article belongs to the Section Corrosion and Protection

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There was an error in the original publication [1]. A typing error occurred when copying equations. The correct form of

\overset{=}{m}

is

\overset{=}{m} = (m_{i} - m_{o}) \frac{2 Δ p r_{c}}{m}

, whereas it was incorrectly written as

\overset{=}{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,

\tilde{a} = a_{i} + a_{o} - m_{o} Δ p / 2, m = m_{i} + m_{o}, \bar{\bar{a}} = a_{i} - a_{o} + m_{o} Δ p / 2,

\bar{\bar{m}} = (m_{i} - m_{o}) \frac{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

\tilde{a} = a_{i} + a_{o} - m_{o} Δ p / 2 + (m_{i} - m_{o}) \frac{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}) \frac{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} \frac{3 p_{i} + p_{o}}{4} - m_{i} \frac{p_{i} + 3 p_{o}}{4}) / 2 - \frac{1}{4} (p_{i} - p_{o}) (m_{i} - m_{o}) \frac{2 Δ p r_{c}}{m} \frac{b_{1} + c / r_{c o}}{e}

, and

B = - \frac{1}{4} (p_{i} - p_{o}) (m_{i} - m_{o}) \frac{2 Δ p r_{c}}{m} \frac{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

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

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