Computationally efficient algorithms for modelling thermal degradation and spiking phenomena in polymeric materials

Computers and Chemical Engineering

Volumn 27, Issue 10, 2003, Pages 1473-1484

  Melnik, R V N ^a  

^a UNIVERSITY OF SOUTHERN DENMARK   (Denmark)

Author keywords

Alternating triangular method; Coupled problems; Polymer systems; Thermal degradation and spiking

Indexed keywords

ALGORITHMS; PYROLYSIS; REACTION KINETICS;

THERMAL SPIKING;

POLYMERS;

POLYMER;

ALGORITHM; CHEMICAL ENGINEERING;

ALGORITHM; CHEMICAL ANALYSIS; CHEMICAL ENGINEERING; CHEMICAL REACTION KINETICS; CHEMICAL STRUCTURE; DEGRADATION; METHODOLOGY; MODEL; REVIEW; STRUCTURE ANALYSIS; THERMAL ANALYSIS;

EID: 0041465726     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(03)00093-0     Document Type: Article

References (26)

1. Adolf, D. B., et al. (1998). Stresses during thermoset cure. Journal of Materials Research 13, 530-550.
2. Buckmaster, J., & Vedarajan, T. G. (1997). Self-heating effects in thermoset composites. Journal of Composite Materials 31, 2-20.
3. Covas, J. A. (1994). The inverse problem in polymer processing. In J. A. Covas, et al. (Eds.), Rheological fundamentals of polymer processing (pp. 385-406). Dordrecht: Kluwer Academic Publishers.
4. Cristini, V., Macosko, C. W., & Jansseune, T. (2002). A note on transient stress calculation via numerical simulations. Journal of Non-Newtonian Fluid Mechanics 105, 177-187.
5. Ding, Z. M., et al. (2000). Numerical and experimental analysis of resin flow and cure in RIP. Polymer Composites 21 (5), 762-778.
6. Flipsen, T. A. C., et al. (1996). A novel thermoset polymer optical fiber. Advanced Materials 8, 45-48.
7. Goncharenko, V. M., & Lychman, V. V. (1994). Numerical solution of a boundary-value problem, Journal of Mathematical Sciences 72, 3116-3119.
8. Halvorson, R. H., Erickson, R. L., & Davidson, C. L. (2002). Energy dependent polymerization of resin-based composite. Dental Materials 18, 463-469.
9. Kim, C., et al. (1995). The continuous curing process for thermoset polymer composites. Journal of Composite Materials 29, 1222-1253.
10. Kinsey, S. P., Haji-Sheikh, A., & Lou, D. Y. S. (1997). A thermal model for cure of thermoset composites. Journal of Materials Processing Technology 63, 442-449.
11. Lewis, G. (1996). Bioengineering science news: research directions in acrylic bone cement studies. Biomedical Engineering Society Bulletin 20 (1), 3-11.
12. Li, W., & Lee, L. J. (1998). Shrinkage control of low-profile unsaturated polyester resins cured at low temperature. Polymer 39, 5677-5687.
13. Li, L., Sun, X. D., & Lee, L. J. (1999). Low temperature cure of vinyl ester resins. Polymer Engineering and Science 39 (4), 646-661.
14. Maffezzoli, A., & Terzi, R. (1998). Effect of irradiation intensity on the isothermal photopolymerization kinetics of acrylic resins for stereolithography. Thermochimica Acta 321, 111-121.
15. Melnik, R. V. N. (2000). The alternating-triangular algorithm for the analysis of blow-up and quenching phenomena in nonlinear PDEs. International Journal of Mathematical Algorithms 2, 89-120.
16. Melnik, R. V, N., Uhlherr, A., Hodgkin, J., & de Hoog, F. (2003). Distance geometry algorithms in molecular modelling of polymer and composite systems. Computers and Mathematics with Applications 45 (1-3), 515-534.
17. Mohan, R., & Grentzer, T. H. (1995). Process simulation in thermoset composites for cure response and stress prediction. Journal of Reinforced Plastics and Composites 14, 72-84.
18. Morton, K. W. (1996). Numerical solution of convection-diffusion problems. London: Chapman & Hall.
19. Nzihou, A., et al. (1998). A rheological, thermal and mechanical study of bone cement - from a suspension to a solid biomaterial. Powder Technology 99, 60-69.
20. Nzihou, A., Sharock, P., & Ricard, A. (1999). Reaction kinetics and heat transfer studies in thermoset resins. Chemical Engineering Journal 72, 53-61.
21. Petit, H., et al. (2001). Ambient cure high solids acrylic resins for automotive refinish clear coat applications. Progress in Organic Coatings 43, 41-49.
22. Pitchumani, R., & Yao, S.-C. (1993), Non-dimensional analysis of an idealized thermoset composites manufacture. Journal of Composite Materials 27, 613-636.
23. Samarskii, A. A. (2001). The theory of difference schemes. New York: Marcel Dekker.
24. Tokarski, J. S., et al. (1997). Molecular modelling of polymers. Computational and Theoretical Polymer Science 7, 199-214.
25. Torre, L., Maffezzoli, A., & Nicolais, L. (1995). Process modelling of thermoset based composites. Revue de L'Institut Francais Petrol 50, 135-139.
26. White, S. R., & Kim, Y. K. (1996). Staged curing of composite materials. Composites A 27A, 219-227.