The use of Gauss-Hermite quadrature in the determination of the molecular weight distribution of linear polymers by rheometry

作者: T. M. Farias , N. S. M. Cardozo , A. R. Secchi

DOI: 10.1590/S0104-66322013000400022

关键词: MathematicsQuadrature (mathematics)Distribution functionInverse problemRelaxation (approximation)Gauss–Hermite quadratureRheometryReptationApplied mathematicsChange of variables

摘要: The molecular weight distribution (MWD) and its parameters are of the fundamental importance in characterization polymers. Therefore, development techniques for faster MWD determination is a relevant issue. This paper aims at implementing one relaxation models from double reptation theory proposed literature analyzing numeric strategy evaluation integrals appearing model. inverse problem, i.e., rheological data using specified model an imposed function was approximated. Concerning numerical models, use Gauss-Hermite quadrature new change variables proposed. In test samples polyethylene with polydispersities less than 10, application this methodology led to curves which provided good fit experimental SEC data.

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