Abstract
Determining the kinetic parameters of a chemical model of the curing process in polymer composites plays an important role in the design of proper cure conditions. The employment of data obtained from the differential scanning calorimetry (DSC) is the main method to estimate the parameters. In this paper, the kinetic parameters are estimated utilizing an inverse heat transfer algorithm and the temperature obtained from a one-dimensional model of cure process without resorting to DSC. The six constants of the Kamal and Sourour model are estimated simultaneously for a composite material by using the Levenberg-Marquardt algorithm. The results of this study agree well with those obtained by experimental methods.
Similar content being viewed by others
References
Jean W. Hou, Optimal Cure Cycle Design of a Resin-Fiber Composite Laminate, National Aeronautics and Space Administration Langley Research Center (1987).
A. C. Loos and G. S. Springer, Curing of Graphite/Epoxy Composites, AFWAL-TR-83-4040 (March, 1983).
M. R. Kamal and S. Sourour, “Kinetics and thermal characterization of thermoset cure,” Polym. Eng. Sci., 13, No. 1 (1973).
J. C. McNaughton and C. T. Mortimer, Differential Scanning Calorimetry, Perkin Elmer Corporation (1975).
E. P. Scott and Z. Saad, “Estimation of kinetic parameters associated with the curing of thermoset resins. Pt. I: Theoretical investigation,” Polym. Eng. Sci., 33, No. 18, 1157–1164 (1993).
G. Guyonwarch, B. Garnier, and D. Delaunay, “Thermal characteristics and kinetic parameter estimation of a low-profile polyester resin-based composite,” in: 2nd Int. Thermal Energy Congr., Agadir (1995).
S. Garcia, “Simultaneous estimation of kinetic parameters using genetic algorithms,” in: Inverse Problems in Engineering: Theory and Practice, 3rd Int. Conf. Inverse Probl. Eng. (1999).
D. Rosu, C. N. Cascaval, F. Mustata, and C. Ciobanu, “Cure kinetics of epoxy resins studied by non-isothermal DSC data,” Thermochim. Acta, 388, 119–127 (2002).
N. Sbirrazzouli, “Learning about epoxy cure mechanism from isoconversional analysis of DSC data,” Thermochim. Acta, 388, 289–298 (2002).
M. V. Alonso, M. Oliet, J. M. Perez, F. Rodriguez, and J. Echeverra, “Determination of curing kinetic parameters of lignin-phenol-formaldehyde resol resins by several dynamic differential scanning calorimetry methods,” Thermochim. Acta, 419, 161–167 (2004).
Zhan-Sheng Guol, Shanyi Du, and Boming Zhang, “Temperature distribution of thick thermoset composites,” Model. Simul. Mater. Sci. Eng., 12, 443–452 (2004).
J. C. Tannehill, D. A. Anderson, and R. H. Pletcher, Computational Fluid Mechanics and Heat Transfer, Taylor and Francis (1984).
M. N. Ozisik and H. R. B. Orlande, Inverse Heat Transfer Fundamentals and Applications, Taylor and Francis (2000).
D. A. Tortorelli and P. Michaleris, “Design sensitivity analysis: overview and review,” Inverse Probl. Eng., 1, 71–105 (1994).
A. P. D. Oliveira and H. R. B. Orlande, “Estimation of the heat flux at the surface of ablating materials by using temperature and surface position measurements,” Inverse Probl. Sci. Eng., 12, No. 5, 563–577 (2004).
M. J. Colaco and H. R. B. Orlande, “Comparison of different version of the conjugate gradient method of function estimation,” Numer. Heat Transf., Pt. A, 36, 229–249 (1999).
J. V. Beck and K. J. Arnold, Parameter Estimation in Engineering and Science, John Wiley & Sons (1977).
R. E. Walpole and R. H. Myers, Probability and Statistics for Engineers and Scientists, 5th Ed., Macmillan Publishing Co., New York (1993).
Author information
Authors and Affiliations
Additional information
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 44, No. 4, pp. 547–558, July–August, 2008.
Rights and permissions
About this article
Cite this article
Musavi Naeenian, S.M., Sefidgar, M. & Pourshaghaghy, A. The inverse estimation of kinetic parameters of composite materials without using DSC data. Mech Compos Mater 44, 379–388 (2008). https://doi.org/10.1007/s11029-008-9030-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11029-008-9030-0