• Statistical model of stress corrosion cracking based on extended form of Dirichlet energy: Part 2

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      https://www.ias.ac.in/article/fulltext/pram/087/04/0048

    • Keywords

       

      Stress corrosion cracking; Dirichlet energy; variational principle; Cauchy problem; convolution.

    • Abstract

       

      In the previous paper ({\it 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.

    • Author Affiliations

       

      HARRY YOSH1

      1. APA Group, Level 19, HSBC Building, 580 George Street, Sydney NSW 2000, Australia
    • Dates

       
  • Pramana – Journal of Physics | News

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