Development and Validation of a Simple Kinetic‐Based Model to Simulate the Chemical Foaming Process During Rubber Vulcanization

ABSTRACT A key issue in the modeling of the chemical foaming of rubbers is the description of the foam density evolution. This modeling must combine both a comprehensive physical description of the process and sufficient robustness and simplicity to be used in finite element computation software dedicated to reactive fluid injection. With this in mind, a simple model based on the kinetics of vulcanization and decomposition of the blowing agent was developed to simulate the chemical foaming process in rubbers. The kinetic parameters were identified by fitting the experimental data obtained using standard techniques (RPA, DSC) to autocatalytic models. In this model, the total foam volume is assumed to be the sum of the contributions from the rubber matrix and the gas bubbles it contains. The gas content of the system mainly depends on the extent to which the blowing agent decomposes. Free‐foaming dilatometry experiments under controlled non‐isothermal conditions were used to identify and validate the model. Agreement between the experimental data and the model predictions can be achieved by adjusting two parameters difficult to measure experimentally: Henry's constant, which represents the amount of dissolved gas in the rubber; and the gel point, which defines an upper limit for bubble growth.

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Publication Details

Journal
Polymer Engineering and Science
Published
2026-03-22
DOI
https://doi.org/10.1002/pen.70455
Primary Topic
Polymer Foaming and Composites
Type
article
Field-Weighted Citation Impact
0.00
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article

Development and Validation of a Simple Kinetic‐Based Model to Simulate the Chemical Foaming Process During Rubber Vulcanization

Patrice Laure, Edith Peuvrel‐Disdier, Benjamin Bujeau, Juan Itriago et al.
Polymer Engineering and Science
Polymer Foaming and Composites
article

Development and Validation of a Simple Kinetic‐Based Model to Simulate the Chemical Foaming Process During Rubber Vulcanization

Patrice Laure, Edith Peuvrel‐Disdier, Benjamin Bujeau, Juan Itriago, Victor Fabre, C. Pradille
article en

Abstract

ABSTRACT A key issue in the modeling of the chemical foaming of rubbers is the description of the foam density evolution. This modeling must combine both a comprehensive physical description of the process and sufficient robustness and simplicity to be used in finite element computation software dedicated to reactive fluid injection. With this in mind, a simple model based on the kinetics of vulcanization and decomposition of the blowing agent was developed to simulate the chemical foaming process in rubbers. The kinetic parameters were identified by fitting the experimental data obtained using standard techniques (RPA, DSC) to autocatalytic models. In this model, the total foam volume is assumed to be the sum of the contributions from the rubber matrix and the gas bubbles it contains. The gas content of the system mainly depends on the extent to which the blowing agent decomposes. Free‐foaming dilatometry experiments under controlled non‐isothermal conditions were used to identify and validate the model. Agreement between the experimental data and the model predictions can be achieved by adjusting two parameters difficult to measure experimentally: Henry's constant, which represents the amount of dissolved gas in the rubber; and the gel point, which defines an upper limit for bubble growth.

Polymer Engineering and Science
Centre National de la Recherche Scientifique (FR), Centre de Mise en Forme des Matériaux (FR), Hanalei Watershed Hui (US), Laboratoire Jean-Alexandre Dieudonné (FR), Easy Global Market (France) (FR)
Openalex Percentile: Top 12%
Polymer Foaming and Composites
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