On the recovery of molecular weight functionals from the double reptation model
作者： R.S Anderssen , D.W Mead , J.J Driscoll
DOI: 10.1016/S0377-0257(96)01508-X
关键词: Rheology 、 Reptation 、 Viscoelasticity 、 Dispersity 、 Statistical physics 、 Nuclear magnetic resonance 、 Function (mathematics) 、 Synthetic data 、 Time constant 、 Relaxation (physics) 、 Materials science
摘要: Abstract Recently, Mead (J. Rheology, 38 (1994) 1797–1827) has shown, for the double reptation model with a monodisperse relaxation function, characterized by single time constant, how moments molecular weight distribution (MWD) can be determined directly from measurements of linear viscoelastic modulus. The purpose this paper is to show that result special case more general which allows inner-product functionals defined on MWD, such as its moments, measurements. applicability strategy verified and validated using synthetic data.
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sci-hub.se 参考文章(15)
C. W. Groetsch, The theory of Tikhonov regularization for Fredholm equations of the first kind ,(1984)
Polymer Characterization: Physical Property, Spectroscopic, and Chromatographic Methods American Chemical Society. ,(1990) , 10.1021/BA-1990-0227
Montgomery T. Shaw, William H. Tuminello, A closer look at the MWD‐viscosity transform Polymer Engineering and Science. ,vol. 34, pp. 159- 165 ,(1994) , 10.1002/PEN.760340213
R. S. Anderssen, The Linear Functional Strategy for Improperly Posed Problems Birkhäuser Basel. pp. 11- 30 ,(1986) , 10.1007/978-3-0348-7014-6_1
Kendall E. Atkinson, An introduction to numerical analysis ,(1978)
R. I. Tanner, Stanley Middleman, The flow of high polymers ,(1968)
D. W. Mead, Determination of molecular weight distributions of linear flexible polymers from linear viscoelastic material functions Journal of Rheology. ,vol. 38, pp. 1797- 1827 ,(1994) , 10.1122/1.550527
William H. Tuminello, N. Cudré-Mauroux, Determining molecular weight distributions from viscosity versus shear rate flow curves Polymer Engineering and Science. ,vol. 31, pp. 1496- 1507 ,(1991) , 10.1002/PEN.760312009
Alexander Ya. Malkin, Albert E. Teishev, Flow curve–molecular weight distribution: Is the solution of the inverse problem possible?† Polymer Engineering and Science. ,vol. 31, pp. 1590- 1596 ,(1991) , 10.1002/PEN.760312206
W. H. Tuminello, Molecular weight and molecular weight distribution from dynamic measurements of polymer melts Polymer Engineering and Science. ,vol. 26, pp. 1339- 1347 ,(1986) , 10.1002/PEN.760261909