Analytical Expressions for Formal Kinetics

Paulo Rangel Rios; Weslley L.S. Assis; Tatiana C. Salazar; Elena Villa

doi:10.4028/www.scientific.net/MSF.715-716.971

Paper Titles

Annealing Phenomena in Cu/Ni Composite Electrodeposit
p.952

Migration of Dislocation Boundaries in a Modified P911 3%Co Heat Resistant Steel during Tempering, Ageing and Creep
p.953

On the Recrystallization Kinetics of 3D Potts Monte Carlo Simulations
p.959

Modelling of Recrystallization Curves of Porous Copper-Titanium Powder Materials
p.965

Analytical Expressions for Formal Kinetics
p.971

The Influence of Subgrain Size on the Bainite Refinement for Steels
p.977

Modelling Interface Diffusion Creep: Single Phase Insights and Two Phase Challenges
p.983

Investigations on Interaction between Recrystallization and Precipitation at Finishing Steps of Seamless Tube Rolling
p.988

The Evolution of Structure and Mechanical Properties of Fe-Mn-V-Ti-0,1C Low-Carbon Steel Subjected to Severe Plastic Deformation and Subsequent Annealing
p.994

HomeMaterials Science ForumMaterials Science Forum Vols. 715-716Analytical Expressions for Formal Kinetics

Analytical Expressions for Formal Kinetics

Abstract:

In recent papers Rios and Villa resorted to developments in stochastic geometry to revisit theclassical KJMA theory and generalize it for situations in which nuclei were located in space accordingto both homogeneous and inhomogeneous Poisson point processes as well as according to Materncluster process and surface and bulk nucleation in small specimens. Rigorous mathematical methodswere employed to ensure the reliability of the new expressions. These results are briefly described.Analytical expression for inhomogeneous Poisson point process nucleation gives very good agreementwith Cellular Automata simulations. Cellular Automata simulations complement the analyticalsolutions by showing the corresponding microstructural evolution. These new results considerablyexpand the range of situations for which analytical solutions are available.