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

Pramana

Harry Yosh1¹ 

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

关键词: Stress corrosion cracking;    variational principle;    Dirichlet principle;    maximum entropy principle.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown