Quantitative Theory for Linear Dynamics of Linear Entangled Polymers

By A. E. Likhtman, T. McLeish. 2002

564 citations recorded by the source corpus.

Subfields: Fluid Flow and Transfer Processes, Materials Chemistry, Polymers and Plastics

View Paper: https://www.semanticscholar.org/paper/8cd13c226347e1c851eddc9ec359adb2efd5cb9b

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In Fluid Flow and Transfer Processes

In Materials Chemistry

In Polymers and Plastics

Citations in the corpus

A full-chain, temporary network model with sliplinks, chain-length fluctuations, chain connectivity and chain stretching (2003, background): “A chain in fluctuating obstacles—such as a polymer melt—will also undergo Rouse-like motion, as first discussed by [de Gennes, 1975], and successfully exploited by [Rubenstein and Colby, 1988] and [Likhtman and McLeish, 2002].”
Disentanglement effects on welding behaviour of polymer melts during the fused-filament-fabrication method for additive manufacturing (2017, background): “Here C1 and C2 are the WLF constants, T0 is the reference temperature and τ d and τ 0 R are the reptation and Rouse time at T0 given by [38] τ R = τ 0 eZ 2 eq, (13a)”
Kremer–Grest Models for Commodity Polymer Melts: Linking Theory, Experiment, and Simulation at the Kuhn Scale (2018, methodology): “by writing the shift factor in a form derived from the equivalent Vogel-Fulcher-Tammann-Hesse equation.156–158 lnaT(T;T0) = − CV F(T − T0) (T0 − TV F)(T − TV F) . (37) The relations TV F = T0 −C2(T0) (38) ⇔ C2(T0) = T0 − TV F CV F = ln(10)C1(T0)C2(T0) (39) ⇔ C1(T0) = CV F ln(10)(T0 −TV F) with CV F ”
Challenges in Multiscale Modeling of Polymer Dynamics (2013, background): “The overall shapes of G′ and G′′ are found to be in agreement with experimental observation [109] and theoretical prediction [14].”
Deformation of an amorphous polymer during the fused-filament-fabrication method for additive manufacturing (2016, background): “The Rouse and reptation times of a polymer at a given reference temperature T0 are given by [36] τ R = τ 0 eZ 2 eq, (2a)”
Simple constitutive equation for linear polymer melts derived from molecular theory: Rolie–Poly equation (2003, methodology): “To fixGe andτd, we fitted the terminal region of the linear spectrum G′, G′′, produced by our linear theory [2].”