Cahn-Hilliard equations incorporating elasticity: Analysis and comparison to experiments

Thomas Blesgen*, Isaac Vikram Chenchiah

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

3 Citations (Scopus)

Abstract

We consider a generalization of the Cahn-Hilliard equation that incorporates an elastic energy density which, being quasi-convex, incorporates microstructure formation on smaller length scales. We explore the global existence of weak solutions in two and three dimensions. We compare theoretical predictions with experimental observations of coarsening in superalloys.

Original languageEnglish
Article number0342
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume371
Issue number2005
DOIs
Publication statusPublished - 28 Dec 2013

Keywords

  • Cahn-Hilliard equation
  • Coarsening
  • Quasi-convex elastic energy density
  • Superalloys

Fingerprint Dive into the research topics of 'Cahn-Hilliard equations incorporating elasticity: Analysis and comparison to experiments'. Together they form a unique fingerprint.

  • Cite this