Studying the origin of “strain hardening”: Basic difference between extension and shear

Liu, Gengxin; Sun, Hao; Rangou, Sofia; Ντέτσικας, Κωνσταντίνος; Avgeropoulos, Apostolos; Wang, Shi‐Qing

doi:10.1122/1.4763568

Cited by 64 publications

(59 citation statements)

References 35 publications

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“…A dominant quantity of 3,4 units increases the measured plateau modulus significantly. The quantity was reported to be about 60 % in the work by Liu et al [25] whereas the similar quantities were about 5-6% and 8.6% in Auhl et al [40] and Nielsen et al [22], respectively. The remaining units were cis-and trans-1,4 units.…”

Section: Entanglementsmentioning

confidence: 81%

“…For all involved polyisoprenes it is possible to use the fixed values of n e = 0.22 and n g = 0.65. The measured mechanical spectroscopic data from Liu et al [25] and Nielsen et al [22] with the actual fittings are shown in figure 1. Of importance G 0 N = 380kP a (at 25…”

Section: Entanglementsmentioning

confidence: 99%

“…Notice that the extensional strain is defined as (t) = ln(l(t)/l(0)), where l(t) and l(t = 0) are the distances between two particles in the direction of the extension at time t and t = 0, respectively. Within the recent years, new attempts to measure the extensional viscosities on NMMD polyisoprene have been made [22,23,24,25]. The purpose of this paper is to find out how these measurements relate to experimental rheometric investigation on other entangled polymer systems and recent theoretical ideas, both being unclear.…”

Section: Introductionmentioning

confidence: 99%

“…Here two particular formulations [27,28,38] of the 'interchain pressure ' [39], incorporated into the molecular stress function method [27], are used to assess the extensional [22,25] . is the density, R the gas constant, T the temperature and G 0 N the plateau modulus.…”

Section: Introductionmentioning

confidence: 99%

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A constitutive analysis of the extensional flows of nearly monodisperse polyisoprene melts

Rasmussen

2016

Polymer

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Here two particular formulations [27,28,38] of the 'interchain pressure ' [39], incorporated into the molecular stress function method [27], are used to assess the extensional [22,25] . is the density, R the gas constant, T the temperature and G 0 N the plateau modulus. The method by [27,38] predicts start-up of extensional viscosities significantly below the measured value. The formulations by [28] seem to be in agreement with both the start-up of extension as well as the shear flow of all NMMD polyisoprenes. Potential non-isothermal effects were addressed computationally using the pseudo time principle, assuming the most critical case of adiabatic heating.

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Section: Entanglementsmentioning

confidence: 81%

Section: Entanglementsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A constitutive analysis of the extensional flows of nearly monodisperse polyisoprene melts

Rasmussen

2016

Polymer

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“…Polymer melts under flow have distinct features, compared with Newtonian liquids, i.e., shear thinning and normal stress differences in shear flow [315,355], strain hardening in elongation [356] and shear banding [357]. All of these peculiar phenomena are related to the multiplicity of the temporal and spatial scales characterizing the structure and dynamics of polymer melts.…”

Section: Polymer Dynamics Under Flowmentioning

confidence: 99%

Challenges in Multiscale Modeling of Polymer Dynamics

et al. 2013

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The mechanical and physical properties of polymeric materials originate from the interplay of phenomena at different spatial and temporal scales. As such, it is necessary to adopt multiscale techniques when modeling polymeric materials in order to account for all important mechanisms. Over the past two decades, a number of different multiscale computational techniques have been developed that can be divided into three categories: (i) coarse-graining methods for generic polymers; (ii) systematic coarse-graining methods and (iii) multiple-scale-bridging methods. In this work, we discuss and compare eleven different multiscale computational techniques falling under these categories and assess them critically according to their ability to provide a rigorous link between polymer chemistry and rheological material properties. For each technique, the fundamental ideas and equations are introduced, and the most important results or predictions are shown and discussed. On the one hand, this review provides a comprehensive tutorial on multiscale computational techniques, which will be of interest to readers newly entering this field; on the other, it presents a critical discussion of the future opportunities and key challenges in the multiscale geometric mapping matrix between all-atomistic and coarse-grained models N number of monomers per chain N e entanglement length, which is the number of monomers between two entanglements n v number of polymer chains per unit volume n ij (n 0 (r ij )) entanglement number (at equilibrium) between particle pairs i and j p r , P R configurational probability distributions in all-atomistic and coarse-grained models, respectively R ee end-to-end distance of polymer chain R G radius of gyration of polymer chain s segment index/contour length variable along primitive chain S(q) single chain coherent dynamic scattering function Z number of entanglements per chain, defined as Z = N/N e α exponent in standard Mittag-Leffler function σ

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Difficulties with Orthodox Paradigms

2017

Nonlinear Polymer Rheology

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Studying the origin of “strain hardening”: Basic difference between extension and shear

Cited by 64 publications

References 35 publications

A constitutive analysis of the extensional flows of nearly monodisperse polyisoprene melts

A constitutive analysis of the extensional flows of nearly monodisperse polyisoprene melts

Challenges in Multiscale Modeling of Polymer Dynamics

Difficulties with Orthodox Paradigms

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