Institute of Physics of Materials AS CR, v. v. i. > Projects > Modelling of diffusional phase transformations in multi-component systems with multiple stoichiometric phases

Modelling of diffusional phase transformations in multi-component systems with multiple stoichiometric phases

InvestigatorRNDr. Jiří Svoboda, CSc., DSc.
Number of ProjectP204-10-1784
AgencyGrantová agentura České republiky
Duration2009-12-31 - 2012-12-30

Ternary systems play an important role in several fields of technology. Several intermetallic layers may occur in the region of the original interface of a couple with different compositions of one ternary system. Interdiffusion is the responsible mechanisms and it is well know for yielding the so-called "Kirkendall effect". The mechanism of splitting of the so-called "Kirkendall-plane" has been strongly supported by the extensive works. Onsager’s principle of maximum dissipation has been used to derive the evolution equations for the set of positions of the interfaces between several stoichiometric phases and of Kirkendall planes. This concept allows to study in detail the polyfurcation of the Kirkendall plane. The model has also been extended from a binary system to a multi-component system.


Svoboda J., Fischer F., Schillinger W.: Formation of Multiple Stoichiometric Phases in Binary Systems by Combined Bulk and Grain Boundary Diffusion - Experiments and Model. Acta Mater. 61 (2013) 32-39

Fischer F., Svoboda J., Kozeschnik E.: Interstitial Diffusion in Systems with Multiple Sorts of Traps. Model. Simul. Mater. Sci. Eng. 21 (2013) 025008


Svoboda J., Fischer F.: Modelling for hydrogen diffusion in metals with traps revisited. Acta Mater. 60 (2012) 1211-1220

Svoboda J., Fischer F., Uhlar R.: Modeling the Role of Sources and Sinks for Vacancies on the Kinetics of Diffusive Phase Transformation in Binary Systems with Several Stoichiometric Phases. Philos. Mag. Lett. 92 (2012) 67-76


Fischer F., Svoboda J.: Chemically and Mechanically Driven Creep Due to Generation and Annihilation of Vacancies with Non-ideal Sources and Sinks. Int. J. Plast. 27 (2011) 1384-1390

Ulrich C., Hashibon A., Svoboda J., Elsässer C., Helm D., Riedl H.: Diffusion kinetics in aluminium-gold bond contacts from first-principles density functional calculations. Acta Mater. 59 (2011) 7634-7644

Svoboda J., Fischer F.: Modelling of the influence of the vacancy source and sink activity and the stress state on diffusion in crystalline solids. Acta Mater. 59 (2011) 1212-1219