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2. Statistical Modeling of Minimum Intergranular Corrosion Path Length in High-Strength Aluminum Alloy

Author

Weilong Zhang, Shiling Ruan, Gerald S. Frankel, and Douglas A. Wolfe

Subjects
Statistics and Probability, Brick, Materials science, Applied Mathematics, Mechanics, Method of moments (statistics), Intergranular corrosion, Aspect ratio (image), Corrosion, Condensed Matter::Materials Science, Path length, Modeling and Simulation, Particle-size distribution, Gamma distribution, Physics::Chemical Physics
Abstract

In this article a brick wall model is developed to describe the relationship between the minimum intergranular corrosion path length and the aspect ratio of grains of high-strength wrought aluminum alloy AA2024-T3. We study the distribution of the horizontal distance that a corrosion path will travel in the metal and fit the model to an actual corrosion dataset using the method of moments. The distribution of the horizontal distance of a corrosion path along a given grain is assumed to be uniformly distributed given the length of the grain, which is itself modeled by a gamma distribution. A modified brick wall model is proposed that also imposes a distribution on the vertical distance traveled by the corrosion path. Computer simulation is used to evaluate the fit of these models.

Published
2004
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3. Statistical Modeling of Minimum Intergranular Corrosion Path Length in High-Strength Aluminum Alloy.

Author

Ruan, Shiling, Weilong Zhang, Shiling, Wolfe, Douglas A., and Frankel, Gerald S.

Subjects
*DETERIORATION of materials, *ALUMINUM alloys, *METALS, *COMPUTER simulation, *MATHEMATICAL models
Abstract

In this article a brick wall model is developed to describe the relationship between the minimum intergranular corrosion path length and the aspect ratio of grains of high-strength wrought aluminum alloy AA2024-T3. We study the distribution of the horizontal distance that a corrosion path will travel in the metal and fit the model to an actual corrosion dataset using the method of moments. The distribution of the horizontal distance of a corrosion path along a given grain is assumed to be uniformly distributed given the length of the grain, which is itself modeled by a gamma distribution. A modified brick wall model is proposed that also imposes a distribution on the vertical distance traveled by the corrosion path. Computer simulation is used to evaluate the fit of these models. [ABSTRACT FROM AUTHOR]

Published
2004
Full Text
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