Thermodynamics of coherent interfaces under mechanical stresses. I. Theory

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 22, 2012, Pages

  Frolov, T ^a   Mishin, Y ^a  

^a GEORGE MASON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84862221434     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.224106     Document Type: Article

References (42)

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35. For brevity, we will be referring to the particles forming the solid as atoms, although they can also be molecules as in the case of molecular solids.
36. Some solids contain atoms capable of occupying both substitutional and interstitial positions. This case is not discussed here but it is straightforward to generalize our analysis to such solids.
37. In their analysis of coherent equilibrium, Larchè and Cahn used the first Piola-Kirchoff tensor which is the transpose of the tensor used in our work.
38. Out of this set of (K + L + 6) parameters, only (K + L + 5) are independent (see Section). To maintain the neutral two-phase equilibrium, only (K + L + 5) independent variables must be fixed, which automatically fixes the remaining parameter.
39. See Section for a discussion of possible non-uniqueness of the transformation strain and thus vector t.
40. It will suffice to fix only (K + L + 5) of these (K + L + 6) parameters. The remaining parameter is dependent and will be fixed automatically.
41. ′.
42. 32 applied normal to the tilt axis destroys the identity of the grains. This stress causes coupled GB motion, which cannot be prevented unless we create different chemical compositions in the grains and thus a thermodynamic driving force balancing the driving force of coupled motion. But then the grains essentially become two different phases.