Full text
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| Author(s): |
Nara Miranda Guimarães
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Escola Politécnica (EP/BC) |
| Defense date: | 2018-11-22 |
| Examining board members: |
Marcelo de Aquino Martorano;
Marcio Gustavo di Vernieri Cuppari;
Eliria Maria de Jesus Agnolon Pallone;
Gilberto José Pereira
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| Advisor: | Marcelo de Aquino Martorano |
| Abstract | |
Copper sintering occurs through a diffusive transport of matter from regions with high chemical potential to regions of low chemical potential. The driving force of this process is the minimization of the energy associated with the interfaces of the system. In an attempt to quantify the sintering process, several analytical models have been developed since 1945. The aim of the present work was to implement and validate a mathematical model based on the phase field model to simulate the first stage of sintering. A very detailed thermodynamic study was done in order to define which equations should me used in the computational model. As well as, the use of a quantitative (statistical analysis) and a qualitative analysis (graphical analysis and by the exponent of time) to compare the theoretical models with the experimental values published in five articles of great relevance in the area. From the statistical results it was observed that the best mechanism to describe the copper sintering is the combined model between the main individual models (lattice diffusion from surface, lattice diffusion from grain boundary, surface diffusion and grain boundary diffusion). The mechanisms of gas-phase transport via evaporation-condensation and gas diffusion contribute in a negligible way in copper sintering, considered irrelevant by many authors . It has been found that the initial configuration of the metal, whether in the form of spheres or cylinders, modifies the dominant diffusion mechanism. Since the effect of surface diffusion is more predominant in the spheres than in the cylinders, therefore the combined mechanism for the spheres includes surface diffusion, while the cylinders do not. With the computational modeling, some important mechanisms that occur during stage I of sintering were simulated. Simulations performed under unidimensional conditions indicated that the model is able to impose local thermodynamic equilibrium conditions and to move the interface in the opposite direction of the vacancies flow. When used to simulate the transport of vacancies under two-dimensional conditions, the model automatically imposed the fraction of equilibrium vacancies under the effect of the radius of curvature. This fraction results in a flow that causes the expansion or retraction of the solid / cylindrical pore, which was reproduced by the implemented model. The main difficulties found in the computational modeling were the size of the mesh and the computational processing time required. To solve these two aspects, an adaptive mesh was used and the parallelization of the computational code was done, which resulted in a significant reduction in the simulation time. (AU) | |
| FAPESP's process: | 13/11421-7 - MATHEMATICAL MODELING OF SINTERING USING THE PHASE FIELD METHOD |
| Grantee: | Nara Miranda Guimarães |
| Support Opportunities: | Scholarships in Brazil - Doctorate |