Specific metals form protective oxide layers based on the Pilling-Bedworth ratio
Specific metals form protective oxide or scale layers based on volume ratios described by the Pilling-Bedworth ratio, which predicts whether an oxide film will remain intact or crack.
The retrieved papers consistently acknowledge the Pilling-Bedworth ratio as a foundational concept used to evaluate volume changes, oxide layer formation, and the protectiveness of scales on metals and alloys, supporting the claim without any direct refutations of the principle itself.
Quantong Jiang, Dongzhu Lu, Chang Liu, Nazhen Liu, Baorong Hou. The Pilling-Bedworth Ratio of Oxides Formed From the Precipitated Phases in Magnesium Alloys. 2021. https://doi.org/10.3389/fmats.2021.761052
Paper 0 calculates specific Pilling-Bedworth ratios (PBR) for various magnesium alloy precipitates to determine whether their formed oxides provide good protective layers.
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Chawuthai R, Promchan T, Rojsanga J, Chandra-Ambhorn S, Nilsonthi T, Wongpromrat P, Bumrungthaichaichan E, Anantpinijwatna A. Novel method for predicting the cracks of oxide scales during high temperature oxidation of metals and alloys by using machine learning.. 2025. https://doi.org/10.1038/s41598-025-91449-3
Paper 1 notes that the Pilling-Bedworth ratio is traditionally employed to predict volume changes and protective oxide spallation, though it acknowledges limitations in complex real-world conditions.
Xing Gao, Renli Fu, Peiyu Zeng, Yitao Xue, Jiajing Mu. Exploiting the Pilling-Bedworth Effect: A Two-Step Oxidation-Reduction Bonding for Pressureless Cu Sintering. 2026. https://doi.org/10.2139/ssrn.6998346
Paper 6 describes exploiting the Pilling-Bedworth effect and volume expansion during copper oxidation to achieve pre-densification and structural changes.
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