Calibration of a multi-phase field model with quantitative angle measurement
- 676 Downloads
Over the last years, the phase-field method has been established to model capillarity-induced microstructural evolution in various material systems. Several phase-field models were introduced and different studies proved that the microstructure evolution is crucially affected by the triple junction (TJ’s) mobilities as well as the evolution of the dihedral angles. In order to understand basic mechanisms in multi-phase systems, we are interested in the time evolution of TJ’s, especially in the contact angles in these regions. Since the considered multi-phase systems consist of a high number of grains, it is not feasible to measure the angles at all TJ’s by hand. In this work, we present a method enabling the localization of TJ’s and the measurement of dihedral contact angles in the diffuse interface inherent in the phase-field model. Based on this contact angle measurement method, we show how to calibrate the phase-field model in order to satisfy Young’s law for different contact angles.
KeywordsContact Angle Interface Energy Grain Boundary Triple Point Triple Junction
Compliance with ethical standards
Conflict of interest
The authors declare that they have no conflict of interest.
- 6.Langer JS (1986) Models of pattern formation in first-order phase transitions. Directions in condensed matter. World Scientific, Singapore, pp 165–186Google Scholar
- 24.Caroli C, Misbah C (1997) On static and dynamical Young’s condition at a trijunction. J Phys I 7(10):1259–1265Google Scholar
- 32.Chen Y, Ye X (2011) Projection onto a simplex, arXiv preprint arXiv:1101.6081, pp 1–7
- 35.Stinner B (2006) Derivation and analysis of a phase field model for alloy solidification, Dissertation, University of RegensburgGoogle Scholar