2015
DOI: 10.1007/s10910-015-0493-7
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Iterative robust numerical procedure for the determination of kinetic constants in Han’s model for NR cured with sulphur

Abstract: A closed form procedure to determine kinetic constants for NR vulcanized with sulphur is presented. The kinetic scheme originally proposed by Han et al. (Polymer (Korea) 22:223–230, 1998) and further modified by Milani et al. (Polym Test 32:1052–1063, 2013) is adopted as starting point to deduce a closed form expression for rubber curing degree. Rheometer experimental data collected at different temperatures are used to tune model parameters. After the normalization of the rheometer curves and the exclusion of… Show more

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Cited by 15 publications
(13 citation statements)
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“…is adopted. Full details of the heuristic software proposed are provided by Milani and Milani . Here only few details are reported to show how even unexperienced users may achieve accurate results, being the present paper mainly focused on the presentation of the experimental/numerical results obtained by the authors.…”
Section: The Kinetic Approach Proposedmentioning
confidence: 99%
See 2 more Smart Citations
“…is adopted. Full details of the heuristic software proposed are provided by Milani and Milani . Here only few details are reported to show how even unexperienced users may achieve accurate results, being the present paper mainly focused on the presentation of the experimental/numerical results obtained by the authors.…”
Section: The Kinetic Approach Proposedmentioning
confidence: 99%
“…Excluding K 0 , it has been recently shown that the crosslinking percentage α admits a closed form solution as follows: leftα=r1+r2=βtrue{K1K1+K2true[1etrue(K1+K2true)true(ttitrue)true]+K2K1+K2K3true[eK3true(ttitrue)etrue(K1+K2true)true(ttitrue)true]true}+true(1βtrue)true{K1K1+K2true[1etrue(K1+K2true)true(ttitrue)true]+K2K1+K2K3true[eK3true(ttitrue)etrue(K1+K2true)true(ttitrue)true]true} …”
Section: The Kinetic Approach Proposedmentioning
confidence: 99%
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“…It seems likely that double exponential fitting could be useful for determining the rate constant of the first reaction in any series in which that first process is mixed second-order even if the initial concentrations do not obey the classical pseudo-first-order conditions. It seems that there are many potential applications of this possibility [24][25][26][27][28][29][30]. It should also be emphasized that this proposed technique only works if the kinetic scheme is already known with a considerable degree of certainty.…”
Section: Conversion To Absorbance Datamentioning
confidence: 99%
“…It seems that the rate equations given in Eq. (5) do not have in easily accessible closed-form solution, although analytical solutions for a number of two-step schemes are available in general [2,[20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. In cases like this, it is occasionally useful to seek a solution that gives one of the concentrations as a function of the other rather than time [2].…”
Section: Coupled Consecutive Reactionsmentioning
confidence: 99%