Authors:
Vladimir Ivannikov (1), Peter Munch (2), Martin Kronbichler, Thomas Ebel (1)
1- Helmholtz-Zentrum Hereon, Geesthacht, Germany
2- University of Augsburg, Augsburg, Germany
Abstract:
In order to perform plausible predictive numerical simulations of solid-state sintering, it is essential to capture accurately both shrinkage and microstructure evolutions of a given material. Moreover, for the results to be meaningful and statistically relevant, one has to analyze packings containing hundreds and thousands of particles. In the current work we present a highly efficient phase-field based numerical model that is able to handle large-scale three-dimensional cases at the early and later stages of sintering. The approach is based on the classical phase-field model of Wang. Multiple novel algorithms are developed for its efficient numerical FEM implementation: fully distributed tracking of individual grains, graph colorization for minimization of the number of order parameters, problem specific preconditioners and Jacobian-free formalism. We demonstrate how the proposed model can be applied for convenient microstructure analysis by providing quantities that can be used for subsequent comparison with experiments.
DOI:
https://doi.org/10.59499/EP235764034