Particle distance distributions and their effect on precipitation strengthening

Bernhard Sonderegger^1,2, Ivan Holzer¹, Ernst Kozeschnik³, Christof Sommitsch¹

¹Institute for Materials Science and Welding, Christian Doppler Laboratory for Materials Modelling and Simulation, Graz University of Technology, Kopernikusgasse 24, 8010 Graz, Austria.
²Materials Center Leoben Forschung GmbH, Rosseggerstraße 12, 8700 Leoben, Austria.
³Christian Doppler Laboratory for Early Stages of Precipitation, Institute of Materials Science and Technology, Vienna University of Technology, Favoritenstraße 9-11/ E308, 1040 Vienna, Austria.

DOI:

https://doi.org/10.7494/cmms.2011.1.0326

Abstract:

In this work, a general formulation of particle distances in glide planes is derived for arbitrary size distributions. The approach is designed to use the results of Wagner-Kampmann-type models. Size distributions are represented by a set of precipitate classes, where each class contains precipitates of a specific radius and a corresponding number density. The outputs of the calculation are not only particle distances, but particle distance distributions. This representation provides the convenience that any user-defined criterion for the precipitate-dislocation interaction can be applied, e.g. the side condition that at least one third of all spaces between obstacles have to be “open” for dislocation movement in order to allow plastic deformation. As a result, the combination of distribution function and side condition allows a direct calculation of the precipitates strengthening effect. It is shown, that the accordance of simulation and measurements is very promising. The method thus provides the potential to bridge the gap between the simulation of precipitate parameters and the quantitative calculation of precipitate strengthening.

Cite as:

Sonderegger, B., Holzer, I., Kozeschnik, E., & Sommitsch, C. (2011). Particle distance distributions and their effect on precipitation strengthening. Computer Methods in Materials Science, 11(1), 148-153. https://doi.org/10.7494/cmms.2011.1.0326

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