Search

DIGITAL LIBRARY: SAMPE 2022 | CHARLOTTE, NC | MAY 23-26

Get This Paper

Matlab-Based Combinatorial Isoconversional Analysis Techniques for Characterizing Thermoset Cure Kinetics

Description

Title: Matlab-Based Combinatorial Isoconversional Analysis Techniques for Characterizing Thermoset Cure Kinetics

Authors: Adam Watts, Mark Peyron

DOI: 10.33599/nasampe/s.22.0808

Abstract: Isoconversional analysis (ICA) is one of the most important methods for establishing the kinetics of the complex reactions associated with curing thermosets. An often overlooked or hard to establish feature of these kinetics is estimating the uncertainties in the kinetic parameters. In the case of ICA, activation energy is measured at fixed values of reaction conversion. For thermosets the data are typically based on differential scanning calorimetry (DSC). When replicate DSC data are obtained there is no agreement how to utilize the replicates to assess repeatability in the context of ICA. The authors propose that a combinatorial approach be used to assess the variability due to i) experimental variability and ii) linear and nonlinear computations that are used to calculate values of the activation energy. A MATLAB-based analysis was developed to analyze all possible combinations of replicates and using four different ICA methods to establish a conversion map of activation energies along with statistically valid values of standard deviations. The use of these techniques is demonstrated with a benzoxazone resin. This combinatorial technique provides new insights into uncertainty associated with modeling thermoset cure kinetics. This technique may also be used to estimate the uncertainty in isothermal and nonisothermal predictions based on the DSC data and measured activation energies. The MATLAB analysis will be made freely available to other users via the author’s website. It may be applied to any thermally-stimulated process.

References: 1. Vyazovkin, Sergey, Burnham, Alan K, Criado, José M, Pérez-Maqueda, Luis A, Popescu, Crisan, and Sbirrazzuoli, Nicolas. "ICTAC Kinetics Committee Recommendations for Performing Kinetic Computations on Thermal Analysis Data." Thermochimica Acta 520.1-2 (2011): 1-19. 2. Vyazovkin, Sergey. Isoconversional Kinetics of Thermally Stimulated Processes. Cham :: Springer, 2015. 3. Vyazovkin, Sergey, and Nicolas Sbirrazzuoli. “Isoconversional Kinetic Analysis of Thermally Stimulated Processes in Polymers.” Macromolecular Rapid Communications 27, no. 18 (September 22, 2006): 1515–32. https://doi.org/10.1002/marc.200600404. 4. D’Errico, John, “Consolidator,” MATLAB Central File Exchange. [Online]. Available: <https://www.mathworks.com/matlabcentral/fileexchange/8354-consolidator>. 5. Friedman, Henry L. "Kinetics of Thermal Degradation of Char-forming Plastics from Thermogravimetry. Application to a Phenolic Plastic." Journal of Polymer Science Part C: Polymer Symposia 6.1 (1964): 183-95. 6. Burnham, A. K., and L. N. Dinh. “A Comparison of Isoconversional and Model-Fitting Approaches to Kinetic Parameter Estimation and Application Predictions.” Journal of Thermal Analysis and Calorimetry 89, no. 2 (2007): 479–90. 7. Popescu, C. “Integral Method to Analyze the Kinetics of Heterogeneous Reactions under Non-Isothermal Conditions A Variant on the Ozawa-Flynn-Wall Method.” Thermochimica Acta 285, no. 2 (1996): 309–23. https://doi.org/10.1016/0040-6031(96)02916-4. 8. Ortega, A. "A Simple and Precise Linear Integral Method for Isoconversional Data." Thermochimica Acta 474.1-2 (2008): 81-86. 9. Vyazovkin, Sergey. "Modification of the Integral Isoconversional Method to Account for Variation in the Activation Energy." Journal of Computational Chemistry 22.2 (2001): 178-183. 10. Randall J. LeVeque, Finite Difference Methods for Ordinary and Partial Differential Equations. Society for Industrial and Applied Mathematics, 2007. 11. Kim, Ye Chan, Min, Hyunsung, Yu, Jeongsu, Suhr, Jonghwan, Lee, Young Kwan, Kim, Kwang J, Kim, Soo Hyun, and Nam, Jae-Do. "Nonlinear and Complex Cure Kinetics of Ultra-thin Glass Fiber Epoxy Prepreg with Highly-loaded Silica Bead under Isothermal and Dynamic-heating Conditions." Thermochimica Acta 644 (2016): 28-32. 12. Ralph C. Smith, Uncertainty Quantification: Theory, Implementation, and Applications. SIAM, 2013. 13. NIST/SEMATECH e-Handbook of Statistical Methods, https://www.itl.nist.gov/div898/handbook/eda/section3/eda35e.htm, 10 Dec 2019. 14. Budrugeac, Petru. “A Simple and Precise Differential Incremental Isoconversional Method to Kinetic Analysis of Heterogeneous Processes under Arbitrary Temperature Programs.” Thermochimica Acta 661 (March 2018): 116–23. https://doi.org/10.1016/j.tca.2018.01.025. 15. Ishida, Hatsuo, and Allen, Douglas J. "Physical and Mechanical Characterization of Near-zero Shrinkage Polybenzoxazines." Journal of Polymer Science. 34.6 (1996): 1019-030. Web. 16. Brunovska, Zdenka, Lyon, Richard, and Ishida, Hatsuo. "Thermal Properties of Phthalonitrile Functional Polybenzoxazines." Thermochimica Acta 357 (2000): 195-203. 17. Liu, Jia, and Ishida, Hatsuo. "Anomalous Isomeric Effect on the Properties of Bisphenol F-based Benzoxazines: Toward the Molecular Design for Higher Performance." Macromolecules. 47.16 (2014): 5682-690. 18. Zhang, Kan, Liu, Jia, Ohashi, Seishi, Liu, Xiaoyun, Han, Zhewen, and Ishida, Hatsuo. "Synthesis of High Thermal Stability Polybenzoxazoles via Ortho -imide-functional Benzoxazine Monomers." Journal of Polymer Science. 53.11 (2015): 1330-338. 19. Jubsilp, Chanchira, Kanokwan Punson, Tsutomu Takeichi, and Sarawut Rimdusit. “Curing Kinetics of Benzoxazine–Epoxy Copolymer Investigated by Non-Isothermal Differential Scanning Calorimetry.” Polymer Degradation and Stability 95, no. 6 (June 2010): 918–24. https://doi.org/10.1016/j.polymdegradstab.2010.03.029. 20. Rishwana, S Shamim, A Mahendran, and Ct Vijayakumar. “Studies on Structurally Different Benzoxazines: Curing Characteristics and Thermal Degradation Aspects.” High Performance Polymers 27, no. 7 (2015): 802–12. https://doi.org/10.1177/0954008314561806. 21. Vyazovkin, Sergey. “A Time to Search: Finding the Meaning of Variable Activation Energy.” Physical Chemistry Chemical Physics 18, no. 28 (2016): 18643–56. https://doi.org/10.1039/C6CP02491B.

Conference: SAMPE 2022

Publication Date: 2022/05/23

SKU: TP22-0000000808

Pages: 15

Price: $30.00

Get This Paper