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Published December 21, 2021 | Supplemental Material
Journal Article Open

Shear Banding in Entangled Polymers: Stress Plateau, Banding Location, and Lever Rule


Using molecular dynamics simulation, we study shear banding of entangled polymer melts under a steady shear. The steady shear stress vs shear rate curve exhibits a plateau spanning nearly two decades of shear rates in which shear banding is observed, and the steady shear stress remains unchanged after switching the shear rates halfway in the range of shear rates within the plateau region. In addition, we find strong correlation in the location of the shear bands between different shear rates starting from the same microstate configurations at equilibrium, which suggests the importance of the inherent structural heterogeneity in the entangled polymer network for shear banding. Furthermore, for the steady shear bands persisting to the longest simulated time of 9.0τ_(d0) (disengagement time), the shear rate in the slow band and the relative proportion of the bands do not change very much with the increase of imposed shear rate, but the shear rate in the fast band increases approximately in proportion to the imposed shear rates, in contradiction to the lever rule.

Additional Information

© 2021 American Chemical Society. Received: August 10, 2021; Accepted: November 11, 2021; Published: November 15, 2021. We thank Drs. S.-Q. Wang, B. Khomami, and J. Cao for helpful correspondences about their work and thank the anonymous reviewers whose constructive comments have helped improve the presentation of our work. Y. Lu and L. An acknowledge the National Natural Science Foundation of China (grant nos. 21790340, 22073092, 21674113, and 21334007) and the Programs of Chinese Academy of Sciences (grant nos. QYZDY-SSW-SLH027 and YJKYYQ20190084) for financial support. Z.-G. Wang acknowledges financial support from the Hong Kong Quantum AI Lab Ltd. Y. Ruan thanks Dr. R. Graham and Dr. J. Ramirez for helpful discussions on the GLaMM model and Dr. M. Kröger for help with the Z1 code. The authors declare no competing financial interest.

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Supplemental Material - mz1c00518_si_001.pdf

Supplemental Material - mz1c00518_si_002.mp4

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Supplemental Material - mz1c00518_si_004.pdf


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August 22, 2023
October 23, 2023