Pramana

, Volume 81, Issue 6, pp 1009–1019

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

Article

DOI: 10.1007/s12043-013-0631-3

Cite this article as:
YOSH, H. Pramana - J Phys (2013) 81: 1009. doi:10.1007/s12043-013-0631-3

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.

Keywords

Stress corrosion crackingvariational principleDirichlet principlemaximum entropy principle

PACS Nos

62.20.mt62.20.fk62.20.mm

Copyright information

© Indian Academy of Sciences 2013

Authors and Affiliations

  1. 1.APA GroupSydneyAustralia