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

Pramana

HARRY YOSH1¹ 

[1] APA Group, Level 19, HSBC Building, 580 George Street, Sydney NSW 2000, Australia$$

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

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown