Reaction-diffusion equation for dislocation multiplication process

Tetsuya Shoji, Seiji Miura, Tetsuo Mohri

Research output: Contribution to journalArticlepeer-review


The evolution of dislocation densities based on reaction-diffusion (R-D) type partial differential equation that yields a stress-strain curve and provides microscopic insight of multiplication process is described. The details of stability analysis and self-organized dislocation patterns are also discussed. Based on R-D equations formulated for mobile and immobile dislocations, a stress-strain curve is calculated. The existence of three distinctive stages in the stress-strain curve are reproduced in the calculations.

Original languageEnglish
Pages (from-to)585-588
Number of pages4
JournalUnknown Journal
Issue number5
Publication statusPublished - 2000 May

ASJC Scopus subject areas

  • Engineering(all)


Dive into the research topics of 'Reaction-diffusion equation for dislocation multiplication process'. Together they form a unique fingerprint.

Cite this