• English
  • Deutsch
  • Log In
    Password Login
    Research Outputs
    Fundings & Projects
    Researchers
    Institutes
    Statistics
Repository logo
Fraunhofer-Gesellschaft
  1. Home
  2. Fraunhofer-Gesellschaft
  3. Artikel
  4. An entropy based theory of the grain boundary character distribution
 
  • Details
  • Full
Options
2011
Journal Article
Title

An entropy based theory of the grain boundary character distribution

Abstract
Cellular networks are ubiquitous in nature. They exhibit behavior on many different length and time scales and are generally metastable. Most technologically useful materials are polycrystalline microstructures composed of a myriad of small monocrystalline grains separated by grain boundaries. The energetics and connectivity of the grain boundary network plays a crucial role in determining the properties of a material across a wide range of scales. A central problem in materials science is to develop technologies capable of producing an arrangement of grains-a texture-appropriate for a desired set of material properties. Here we discuss the role of energy in texture development, measured by a character distribution. We derive an entropy based theory based on mass transport and a Kantorovich-Rubinstein-Wasserstein metric to suggest that, to first approximation, this distribution behaves like the solution to a Fokker-Planck Equation.
Author(s)
Barmak, Katayun
Carnegie Mellon Univ.
Eggeling, Eva
Fraunhofer Austria Research  
Emelianenko, Maria
Fraunhofer Austria Research  
Epshteyn, Yekaterina
George Mason Univ.
Kinderlehrer, David
Fraunhofer Austria Research  
Sharp, Richard
Univ.
Ta'asan, Shlomo
Fraunhofer Austria Research  
Journal
Discrete and continuous dynamical systems : DCDS  
DOI
10.3934/dcds.2011.30.427
Language
English
Fraunhofer AUSTRIA  
Fraunhofer-Institut für Graphische Datenverarbeitung IGD  
Keyword(s)
  • coarsening

  • networks

  • textures

  • simulation and modeling

  • large scale simulation

  • Cookie settings
  • Imprint
  • Privacy policy
  • Api
  • Contact
© 2024