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Mathematical modeling of sintering using the phase field method

Grant number: 13/11421-7
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): September 01, 2013
Effective date (End): September 30, 2015
Field of knowledge:Engineering - Materials and Metallurgical Engineering
Principal Investigator:Marcelo de Aquino Martorano
Grantee:Nara Miranda Guimarães
Home Institution: Escola Politécnica (EP). Universidade de São Paulo (USP). São Paulo , SP, Brazil


Sintering processes depend on several complex thermodynamic and kinetic phenomena that have been experimentally investigate for decades. Proposals of mathematical models that simultaneously consider the kinetic effects, such as diffusion in the bulk of phases and at grain boundaries, and the thermodynamic parameters, such as the energy per unit area of the grain boundaries and of the pore surface, are scarce and require advanced numerical methods. Prediction of the movement of grains and their surfaces and boundaries during sintering is a complex task for the traditional numerical models, especially in the case of two and three-dimensional problems with numerous grains. The phase-field method is a promising alternative to tackle these problems, because the interfaces and boundaries are considered as diffuse regions and the equations to predict the movement and location of these regions are relatively simple. The present work aim is to use the phase-field technique to model the phenomena that occur to particles during heating at relatively high temperatures, establishing a set of equations that govern these phenomena.

Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
GUIMARÃES, Nara Miranda. Critical analysis of the mathematical modeling from the first stage of sintering.. 2018. Doctoral Thesis - Universidade de São Paulo (USP). Escola Politécnica São Paulo.

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