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Evolution of stresses in a simple class of oxidation problems

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Summary

This paper derives the stresses that arise during the oxidation, for example, of a metal. The analysis is carried out in the current or deformed configurations of the oxide and metal, without having to explicitly determine their reference configurations. Elasticity problems are normally solved in a reference configuration, often an initial configuration. In contrast, the appropriate reference configurations for the metal and oxide are not known a priori. The differences between this approach and prior analyses based on an eigenstrain are discussed. To illustrate the method of solution, we discuss silicon oxidation, assuming that molecular oxygen diffuses through the oxide, reacts instantaneously at the metal-oxide interface, and does not diffuse into the metal. The specific geometries chosen are oxidation on the surface of a cylinder and in a cylindrical hole, which are perhaps the simplest one-dimensional oxidation problems with non-zero stress distributions.

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Authors and Affiliations

  1. Department of Chemical Engineering, Texas A&M University, College Station, TX, 77843-3122, U.S.A

    E. -S. Oh

  2. Department of Mathematics and Aerospace Engineering, Texas A&M University, College Station, TX, 77843-3141, U.S.A

    J. R. Walton

  3. Department of Aerospace Engineering, Texas A&M University, College Station, TX, 77843-3141, U.S.A

    D. C. Lagoudas

  4. Department of Aerospace and Chemical Engineering and Mathematics, Texas A&M University, College Station, TX, 77843-3141, U.S.A

    J. C. Slattery

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  1. E. -S. Oh
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  2. J. R. Walton
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  3. D. C. Lagoudas
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  4. J. C. Slattery
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Correspondence to J. C. Slattery.

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Oh, E.S., Walton, J.R., Lagoudas, D.C. et al. Evolution of stresses in a simple class of oxidation problems. Acta Mechanica 181, 231–255 (2006). https://doi.org/10.1007/s00707-005-0281-8

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  • DOI: https://doi.org/10.1007/s00707-005-0281-8

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