Introduction to Statistical Process Control
Steps in the Modeling Process
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models
Drug Distribution: Volume of Distribution
F Distribution
Volume of Distribution
You might also read
Articles linked to this work by shared authors, journal, and citation graph.
Updated: Jan 21, 2026

Spark Plasma Sintering Apparatus Used for the Formation of Strontium Titanate Bicrystals
Published on: February 9, 2017
Sylvain Marinel1, Charles Manière2, Anthony Bilot2
1Normandie Univ, ENSICAEN, UNICAEN, CNRS, CRISMAT, 14000 Caen, France. sylvain.marinel@ensicaen.fr.
Microwave sintering is a promising technique for processing ceramics because it can heat materials quickly and evenly. This study focused on improving the reliability of microwave sintering for large alumina samples using a 915 MHz frequency. The researchers designed a microwave cavity with silicon carbide susceptors and refractory insulation. They tested different configurations to find the best way to achieve uniform heating and avoid instabilities. By aligning the largest surface of the susceptors parallel to the electric field, they achieved more stable and uniform heating. The team used 3D modeling to understand how the cavity and susceptor design affected the sintering process. They also developed an automated system to control the sintering conditions. The results showed that the sintered alumina samples had good density and microstructural homogeneity. The process was found to be reproducible, suggesting that this method could be used for industrial-scale ceramic processing.
Area of Science:
Background:
Microwave sintering offers faster heating and more uniform temperature distribution compared to traditional methods. These benefits stem from the deep penetration of microwave energy into dielectric materials. At room temperature, this penetration depth is several centimeters in many materials. Despite these advantages, the technology has not yet gained widespread use in high-temperature applications above 1200 °C. One reason is the difficulty in achieving consistent results when processing large samples, such as those exceeding 30 cm³ in volume. Prior research has shown that microwave sintering can be effective, but its reliability remains limited. This gap motivated the development of better control strategies and modeling approaches. No prior work had resolved how to optimize cavity design for large-scale, stable sintering. This study aims to address these challenges by combining empirical and computational methods.
Purpose Of The Study:
The goal of this research was to enhance the reliability of microwave sintering for large ceramic samples. The study focused on the 915 MHz frequency range, which is suitable for industrial applications. The researchers aimed to design a cavity that could provide uniform heating and avoid thermal or plasma instabilities. They also wanted to understand how cavity geometry and susceptor positioning affect field homogeneity. A key objective was to model the process in three dimensions to improve process control. The researchers sought to test different susceptor configurations and slit positions to optimize heating patterns. They also aimed to sinter large alumina samples and assess the resulting microstructure. The study aimed to demonstrate the feasibility of using microwave sintering for industrial-scale ceramic processing.
Main Methods:
The researchers designed a single-mode microwave cavity operating at 915 MHz. The cavity was constructed using silicon carbide (SiC) susceptors and refractory insulation. They performed numerical simulations to evaluate different susceptor geometries and slit positions. These simulations helped identify how each configuration affected field distribution and process stability. The team used 3D modeling to predict temperature and field patterns during sintering. They tested various orientations of the susceptors relative to the electric field. The largest surface of the susceptors was aligned parallel to the field to maximize uniform heating. The cavity was integrated into an automated system for sintering large alumina samples. This system allowed precise control of temperature and field conditions during the experiments.
Main Results:
The study found that aligning the largest surface of the susceptors parallel to the electric field improved heating uniformity. This configuration reduced the risk of plasma or thermal instabilities during sintering. The 3D modeling results supported the experimental findings, showing good correlation between simulations and actual heating patterns. The researchers successfully sintered large alumina samples with a volume of approximately 30 cm³. The sintered materials exhibited high density and uniform grain size distribution. The process demonstrated good reproducibility across multiple trials. The results suggest that the cavity design and susceptor orientation significantly influence the sintering outcome. The automated system enabled consistent control of the sintering process, improving reliability for large-scale applications.
Conclusions:
The study demonstrated that microwave sintering can be made more reliable for large ceramic samples. The cavity design and susceptor orientation were key factors in achieving uniform heating and avoiding instabilities. The 3D modeling provided insights into how different configurations affect field distribution. The automated system improved reproducibility and process efficiency. The sintered alumina samples showed good density and microstructural homogeneity. The results suggest that 915 MHz microwave sintering is a viable option for industrial applications. The researchers propose that this approach could be extended to other ceramic materials. The findings support the potential for scaling up microwave sintering for commercial use.
The 915 MHz frequency allows deeper penetration of microwave energy, leading to more uniform heating and reduced thermal instabilities in large samples.
Aligning the largest surface of the susceptors parallel to the electric field improves heating uniformity and reduces the risk of plasma formation.
3D modeling helped predict temperature and field distribution, allowing researchers to optimize cavity design and susceptor placement before physical testing.
The automated system ensures precise control of temperature and field conditions, improving process reproducibility and reliability for large samples.
The samples showed high density, uniform grain size distribution, and microstructural homogeneity after sintering at 915 MHz.
The researchers propose that this approach could be extended to other ceramic materials and used in industrial-scale applications.