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

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      https://www.ias.ac.in/article/fulltext/pram/081/06/1009-1019

    • Keywords

       

      Stress corrosion cracking; variational principle; Dirichlet principle; maximum entropy principle.

    • Abstract

       

      The mechanism of stress corrosion cracking (SCC) has been discussed for decades. Here I propose a model of SCC reflecting the feature of fracture in brittle manner based on the variational principle under approximately supposed thermal equilibrium. In that model the functionals are expressed with extended forms of Dirichlet energy, and Dirichlet principle is applied to them to solve the variational problem that represents SCC and normal extension on pipe surface. Based on the model and the maximum entropy principle, the statistical nature of SCC colony is discussed and it is indicated that the crack has discrete energy and length under ideal isotropy of materials and thermal equilibrium.

    • 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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      Posted on July 25, 2019

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