Abstract
In the previous paper (Pramana – J. Phys. 81(6), 1009 (2013)), the mechanism of stress corrosion cracking (SCC) based on non-quadratic form of Dirichlet energy was proposed and its statistical features were discussed. Following those results, we discuss here how SCC propagates on pipe wall statistically. It reveals that SCC growth distribution is described with Cauchy problem of time-dependent first-order partial differential equation characterized by the convolution of the initial distribution of SCC over time. We also discuss the extension of the above results to the SCC in two-dimensional space and its statistical features with a simple example.
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Special thanks are due to Mr Michael Brown, APA Group, for supporting me with his scrupulous knowledge and the eggs brought from genuine and practical fields.
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YOSH, H. Statistical model of stress corrosion cracking based on extended form of Dirichlet energy: Part 2. Pramana - J Phys 87, 48 (2016). https://doi.org/10.1007/s12043-016-1265-z
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DOI: https://doi.org/10.1007/s12043-016-1265-z