کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897800 1534060 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An analytical study of the static state of multi-junctions in a multi-phase field model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
An analytical study of the static state of multi-junctions in a multi-phase field model
چکیده انگلیسی

We investigate the properties of the multi-order parameter phase field model of Steinbach and Pezzolla [I. Steinbach, F. Pezzolla, A generalized field method for multi-phase transformations using interface fields, Physica D 134 (1999) 385–393] with respect to the behavior in triple and higher order junctions. From the structure of this model, it was speculated that “dynamical” solutions may exist in the triple junction, which could lead to a violation of Young’s law. Here we confirm analytically recent numerical simulations showing that such dynamical states do not exist, and that an equilibrium solution therefore does indeed correspond to a minimum of the free energy; this implies that Young’s law must be satisfied in the framework of the model. We show that Young’s law is a consequence of the interface kinetic equilibrium and not due to a mechanical force balance, in agreement with earlier predictions [C. Caroli, C. Misbah, On static and dynamical Young’s condition at a trijunction, J. Phys. I France 7 (1997) 1259–1265].

Research highlights
► Dynamic equilibria do not exist in the multi-phase field model of Steinbach and Pezzolla.
► Young’s law is satisfied in this model.
► Young’s law is due to the equilibration of interface kinetics, not a mechanical force balance.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 240, Issues 4–5, 15 February 2011, Pages 382–388
نویسندگان
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