Parameter estimation in equivalent circuit analysis of dielectric cure monitoring signals using genetic algorithms

References

• Hedvig P 1977 Dielectric Spectroscopy of Polymers Bristol Adam Hilger Ltd
   Google Scholar
• Senturia , SD and Sheppard , NF . 1986 . Dielectric analysis of thermoset cure . Adv. Polym. Sci. , 80 : 1
   Web of Science ®Google Scholar
• Maistros , GM and Bucknall , CB . 1994 . Modeling the dielectric behavior of epoxy resin blends during curing . Pol. Eng. Sci. , 34 : 1517
   Web of Science ®Google Scholar
• Levita , G , Livi , A , Rolla , PA and Culicchi , C . 1996 . Dielectric monitoring of epoxy cure . J. Polym. Sci. Part B: Polym. Phys. , 34 : 2731
   Web of Science ®Google Scholar
• Abraham , D and McIlhagger , R . 1998 . Glass fibre epoxy composite cure monitoring using parallel plate dielectric analysis in comparison with thermal and mechanical testing techniques . Composites Part A , 29A : 811
   Google Scholar
• Bartolomeo , P , Chailan , JF and Vernet , JL . 2001 . On the use of WLF equation to study curing by dielectric spectroscopy . Polymer , 42 : 4385
   Google Scholar
• Eloundou , JP . 2002 . Dipolar relaxations on an epoxy – amine system . Eur. Polym. J. , 38 : 431
   Web of Science ®Google Scholar
• Pascault J-P Sautereau H Verdu J Williams RJJ 2002 Thermosetting Polymers New York Marcel Dekker Inc.
   Google Scholar
• Mijovic , J and Bellucci , F . 1995 . Impedance spectroscopy of reacting polymers . Trends Polym. Sci. , 4 : 74
   Google Scholar
• Mijovic , J and Yee , CFW . 1994 . Use of complex impedance to monitor the progress of reactions in epoxy/amine model systems . Macromolecules , 27 : 7287
   Google Scholar
• Nicolais , L , Mijovic , J and Bellucci , F . 1995 . Impedance spectroscopy of reactive polymers: correlations with chemorheology during network formation . J. Electrochem. Soc. , 142 : 1176
   Google Scholar
• Zurawsky , W , Nicolais , L , Mondragon , I , Fitz , B , Mijovic , J , Bellucci , F and Abrahams , I . 1996 . Impedance spectroscopy of reactive polymers. 3. Correlations between dielectric, spectroscopic and rheological properties during cure of a trifunctional epoxy resin . J. Polym. Sci. Pol. Phys. , 34 : 379
   Google Scholar
• Monetta , T , Nicodemo , L , Mijovic , J , Bellucci , F and Maio , V . 1996 . Impedance spectroscopy of reactive polymers. 4. An improved experimental procedure for measurement of effective resistivity . J. Polym. Sci. Pol. Phys. , 34 : 1277
   Google Scholar
• Abrahams , I , Mijovic , J and Bellucci , F . 1998 . Impedance spectroscopy of reactive polymers. 5. Impedance as a measure of chemical and physical changes in glass formers . J. Polym. Sci. Pol. Phys. , 36 : 641
   Google Scholar
• Gallone , G , Levita , G , Mijovic , J , Andjelic , S and Rolla , PA . 1998 . Anomalous trends in conductivity during epoxy – amine reactions . Polymer , 39 : 2095
   Google Scholar
• Skordos AA Partridge IK 2001 Impedance cure and flow monitoring in the processing of advanced composites 7th International Conference on the Manufacture of Advanced Composites (ICMAC) September 27th–28th, IoM, Belfast
   Google Scholar
• Macdonald JR 1987 Impedance Spectroscopy. Emphasizing Solid Materials and Systems New York John Wiley & Sons
   Google Scholar
• Macdonald , JR . 1977 . Analysis of impedance and admittance data for solids and liquids . J. Electrochem. Soc. , 124 : 1022
   Web of Science ®Google Scholar
• Macdonald , JR . 1995 . Exact and approximate nonlinear least – squares inversion of dielectric relaxation spectra . J. Chem. Phys. , 102 : 6241
   Web of Science ®Google Scholar
• Macdonald , JR . 1992 . Comparison and application of two methods for the least squares analysis of immittance data . Solid State Ionics , 58 : 97
   Google Scholar
• Macdonald , JR . 1997 . Accurate fitting of immittance spectroscopy frequency-response data using the stretched exponential model . J. Non-Cryst. Solids , 212 : 95
   Google Scholar
• Macdonald , JR . 2000 . On relaxation-spectrum estimation for decades of data: accuracy and sampling-localization considerations . Inverse Probl. , 16 : 1561
   Web of Science ®Google Scholar
• de L. Kronig , R . 1926 . On the theory of dispersion of X-Rays . J. Opt. Soc. Am. , 12 : 547
   Google Scholar
• Kramers , HA . 1929 . Die dispersion und absorption von Röntgengebeit . Physik. Z. , 30 : 522
   Google Scholar
• Tarantola A 1987 Inverse Problem Theory New York Elsevier
   Google Scholar
• Dygas , JR and Breiter , MW . 1999 . Variance of errors and elimination of outliers in the least squares analysis of impedance spectra . Electrochim. Acta , 44 : 4163
   Google Scholar
• Golub , GH , Hansen , PC and O’Leary , DP . 2000 . Tikhonov regularization and total least squares . SIAM J. Matrix Anal. Appl. , 21 : 185
   Google Scholar
• Winterhalter , J , Ebling , DG , Maier , D and Honerkamp , J . 1997 . An improved analysis of admittance data for high resistivity materials by a nonlinear regularization method . J. Appl. Phys. , 82 : 5488
   Google Scholar
• Winterhalter , J , Ebling , DG , Maier , D and Honerkamp , J . 1999 . Analysis of admittance data: comparison of a parametric and a nonparametric method . J. Comput. Phys. , 153 : 139
   Google Scholar
• LEVM v7.11 http://www.solartronanalytical.com/downloads/software.html, last accessed in 19/03/2004
   Google Scholar
• Marquardt , DW . 1963 . An algorithm for least squares estimation of nonlinear parameters . SIAM J. Appl. Math. , 11 : 431
   Web of Science ®Google Scholar
• Mitchell M 1998 An Introduction to Genetic Algorithms Cambridge Massachusetts MIT Press
   Google Scholar
• VanderNoot , TJ and Abrahams , I . 1998 . The use of genetic algorithms in the non-linear regression of immitance data . J. Electroanal. Chem. , 448 : 17
   Google Scholar
• Yang , M , Zhang , X , Li , X and Wu , X . 2002 . A hybrid genetic algorithm for the fitting of models to electrochemical impedance data . J. Electroanal. Chem. , 519 : 1
   Google Scholar
• Fournier , J , Williams , G , Duch , C and Aldridge , CGA . 1996 . Changes in molecular dynamics during bulk polymerization of an epoxide-amine system as studied by dielectric relaxation spectroscopy . Macromolecules , 29 : 7097
   Google Scholar
• Montserrat , S , Roman , F and Colomer , P . 2003 . Vitrification and dielectric relaxation during the isothermal curing of an epoxy-amine resin . Polymer , 44 : 101
   Web of Science ®Google Scholar