Conversion of isothermal and isochronal crystallization in a supercooled liquid through additivity rule

Scheil, 1935, Anlaufzeit der Austenitumwandlung, Arch. Eisenhüttenwes., 8, 565, 10.1002/srin.193500186 Christian, 2002 Cahn, 1956, Transformation kinetics during continuous cooling, Acta Metall., 4, 572, 10.1016/0001-6160(56)90158-4 Rios, 2005, Relationship between non-isothermal transformation curves and isothermal and non-isothermal kinetics, Acta Mater., 53, 4893, 10.1016/j.actamat.2005.07.005 Kamat, 1992, The principle of additivity and the proeutectoid ferrite transformation, Metall. Trans. A, 23, 2469, 10.1007/BF02658050 Hawbolt, 1985, Kinetics of austenite-ferrite and austenite-pearlite transformations in a 1025 carbon steel, Metall. Trans. A, 16, 565, 10.1007/BF02814230 Hsu, 2005, Additivity hypothesis and effects of stress on phase transformations in steel, Curr. Opin. Solid State Mater. Sci., 9, 256, 10.1016/j.cossms.2006.02.011 Zhu, 2000, Application of, and precautions for the use of, the rule of additivity in phase transformation, Metall. Mater. Trans. B, 31, 675, 10.1007/s11663-000-0106-z Mittemeijer, 1992, Analysis of the kinetics of phase transformations, J. Mater. Sci., 27, 3977, 10.1007/BF01105093 Umemoto, 1983, Pearlite transformation during continuous cooling and its relation to isothermal transformation, Trans. Iron Steel Inst. Jpn., 23, 690, 10.2355/isijinternational1966.23.690 Lusk, 1997, On the rule of additivity in phase transformation kinetics, Metall. Mater. Trans. A, 28, 287, 10.1007/s11661-997-0131-5 Avrami, 1940, Kinetics of phase change. II transformation-time relations for random distribution of nuclei, J. Chem. Phys., 8, 212, 10.1063/1.1750631 Liu, 2007, Additivity rule, isothermal and non-isothermal transformations on the basis of an analytical transformation model, Acta Mater., 55, 5255, 10.1016/j.actamat.2007.05.041 Orava, 2012, Characterization of supercooled liquid Ge2Sb2Te5 and its crystallization by ultrafast-heating calorimetry, Nat. Mater., 11, 279, 10.1038/nmat3275 Pogatscher, 2014, In-situ probing of metallic glass formation and crystallization upon heating and cooling via fast differential scanning calorimetry, Appl. Phys. Lett., 104, 251908, 10.1063/1.4884940 Pogatscher, 2014, Characterization of bulk metallic glasses via fast differential scanning calorimetry, Thermochim. Acta, 590, 84, 10.1016/j.tca.2014.06.007 Mathot, 2011, The Flash DSC 1, a power compensation twin-type, chip-based fast scanning calorimeter (FSC): first findings on polymers, Thermochim. Acta, 522, 36, 10.1016/j.tca.2011.02.031 Zhuravlev, 2010, Fast scanning power compensated differential scanning nano-calorimeter: 1. The device, Thermochim. Acta, 505, 1, 10.1016/j.tca.2010.03.019 Bai, 2017, Crystallization kinetics of an Au-based metallic glass upon ultrafast heating and cooling, Scr. Mater., 132, 58, 10.1016/j.scriptamat.2017.02.001 Schroers, 1999, Pronounced asymmetry in the crystallization behavior during constant heating and cooling of a bulk metallic glass-forming liquid, Phys. Rev. B, 60, 11855, 10.1103/PhysRevB.60.11855 Busch, 2000, The thermophysical properties of bulk metallic glass-forming liquids, JOM-J. Min. Met. Mater. Soc., 52, 39, 10.1007/s11837-000-0160-7 Pham, 1995, Predicting the onset of transformation under noncontinuous cooling conditions .1. Theory, Metall. Mater. Trans. A, 26, 1987, 10.1007/BF02670670 Pham, 1995, Predicting the onset of transformation under noncontinuous cooling conditions: Part II. Application to the austenite pearlite transformation, Metall. Mater. Trans. A, 26, 1993, 10.1007/BF02670671 Agarwal, 1981, Mathematical model of heat flow and austenite-pearlite transformation in eutectoid carbon steel rods for wire, Metall. Trans. B, 121, 10.1007/BF02674765 Todinov, 1998, Alternative approach to the problem of additivity, Metall. Mater. Trans. B, 29, 269, 10.1007/s11663-998-0030-1 Johnson, 1939, Reaction kinetics in processes of nucleation and growth, Trans. Am. Inst. Min. Metall. Eng., 135, 416 Avrami, 1939, Kinetics of phase change I - General theory, J. Chem. Phys., 7, 1103, 10.1063/1.1750380 Avrami, 1941, Phase change, and microstructure kinetics of phase change. Iii, J. Chem. Phys., 9, 177, 10.1063/1.1750872 Kelton, 1991, Crystal nucleation in liquids and glasses, Solid State Phys., 45, 75, 10.1016/S0081-1947(08)60144-7 Liu, 2007, Analysis of solid state phase transformation kinetics: models and recipes, Int. Mater. Rev., 52, 193, 10.1179/174328007X160308 Liu, 2004, An analytical model for isothermal and isochronal transformation kinetics, J. Mater. Sci., 39, 1621, 10.1023/B:JMSC.0000016161.79365.69 Liu, 2004, Determination of nucleation and growth mechanisms of the crystallization of amorphous alloys; application to calorimetric data, Acta Mater., 52, 3207, 10.1016/j.actamat.2004.03.020 Schroers, 2001, Transition from nucleation controlled to growth controlled crystallization in Pd43Ni10Cu27P20 melts, Acta Mater., 49, 2773, 10.1016/S1359-6454(01)00159-8 Bordeenithikasem, 2015, Protocols for multi-step thermoplastic processing of metallic glasses, Scr. Mater, 104, 56, 10.1016/j.scriptamat.2015.03.024 Wierszyllowski, 1991, The effect of the thermal path to reach isothermal temperature on transformation kinetics, Metall. Trans. A, 22, 993, 10.1007/BF02661092