Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Phase-field modeling of grain-boundary premelting using obstacle potentials

Journal Article · · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
 [1];  [2];  [2];  [3];  [4];  [2]
  1. Max-Planck-Inst. für Eisenforschung GmbH, Dusseldorf (Germany); Northeastern University
  2. Max-Planck-Inst. für Eisenforschung GmbH, Dusseldorf (Germany)
  3. Ruhr-Univ. Bochum (Germany)
  4. Northeastern Univ., Boston, MA (United States)
We investigate the multiorder parameter phase field model of Steinbach and Pezzolla [Physica D 134, 385 (1999)] concerning its ability to describe grain boundary premelting. For a single order parameter situation solid-melt interfaces are always attractive, which allows us to have (unstable) equilibrium solid-melt-solid coexistence above the bulk melting point. The temperature-dependent melt layer thickness and the disjoining potential, which describe the interface interaction, are affected by the choice of the thermal coupling function and the measure to define the amount of the liquid phase. Due to the strictly finite interface thickness the interaction range also is finite. For a multiorder parameter model we find either purely attractive or purely repulsive finite-ranged interactions. Lastly, the premelting transition is then directly linked to the ratio of the grain boundary and solid-melt interfacial energy.
Research Organization:
Northeastern Univ., Boston, MA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
FG02-07ER46400
OSTI ID:
1906108
Journal Information:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Issue: 1 Vol. 90; ISSN 1539-3755
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (34)

An analytical study of the static state of multi-junctions in a multi-phase field model journal February 2011
Structure of the αγ interface journal April 1978
Phase field modeling of crack propagation journal January 2011
Grain-boundary melting: A Monte Carlo study journal September 1994
Phase-field crystal study of grain-boundary premelting journal November 2008
Multi-phase-field analysis of short-range forces between diffuse interfaces journal May 2010
Premelting at Defects Within Bulk Colloidal Crystals journal August 2005
Amplitude equations for polycrystalline materials with interaction between composition and stress text January 2010
Last-stage solidification of alloys: Theoretical model of dendrite-arm and grain coalescence journal March 2003
Experimental study of grain boundary melting in aluminum journal June 1989
Heterophase dislocations — An approach towards interpreting high temperature grain boundary behavior journal June 1972
Phase field model of premelting of grain boundaries journal April 2002
On anisotropic order parameter models for multi-phase systems and their sharp interface limits journal April 1998
Thermodynamics of grain boundary premelting in alloys. II. Atomistic simulation journal August 2009
Thermodynamics of grain boundary premelting in alloys. I. Phase-field modeling journal August 2009
Phase-field models in materials science journal July 2009
Scale bridging between atomistic and mesoscale modelling: applications of amplitude equation descriptions journal April 2014
Dislocation Models of Crystal Grain Boundaries journal May 1950
Grain-boundary melting transition in a two-dimensional lattice-gas model journal March 1980
Grain-boundary melting: A Monte Carlo study journal September 1994
Diffuse interface model for structural transitions of grain boundaries journal January 2006
Melting at dislocations and grain boundaries: A phase field crystal study journal June 2008
Phase-field crystal study of grain-boundary premelting journal November 2008
Amplitude equations for polycrystalline materials with interaction between composition and stress journal June 2010
Structural short-range forces between solid-melt interfaces journal January 2013
Phase-field-crystal study of grain boundary premelting and shearing in bcc iron journal January 2013
Influence of short-range forces on melting along grain boundaries journal June 2014
Quantitative phase-field modeling of two-phase growth journal July 2005
Method for computing short-range forces between solid-liquid interfaces driving grain boundary premelting journal February 2009
Multi-phase-field analysis of short-range forces between diffuse interfaces journal May 2010
Dislocation-Pairing Transitions in Hot Grain Boundaries journal January 2011
Liquid Nucleation at Superheated Grain Boundaries journal April 2011
Phase-Field Model for Microstructure Evolution at the Mesoscopic Scale journal July 2013
Phase-Field Models for Microstructure Evolution journal August 2002

Cited By (1)

From wetting to melting along grain boundaries using phase field and sharp interface methods preprint January 2014

Similar Records

Phase-field crystal study of grain-boundary premelting
Journal Article · Tue Nov 18 19:00:00 EST 2008 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:1906001

Structural disjoining potential for grain-boundary premelting and grain coalescence from molecular-dynamics simulations
Journal Article · Wed Mar 17 20:00:00 EDT 2010 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics · OSTI ID:1906048

Phase-field-crystal study of grain boundary premelting and shearing in bcc iron
Journal Article · Mon Jan 28 19:00:00 EST 2013 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:1906106