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A Methodology of Hydrodynamic Complexity in Topologically Hyper‐Branched Polymers Undergoing Hierarchical Multiple Relaxations
Author(s) -
Lu Haibao,
Wang Xiaodong,
Hossain Mokarram,
Fu Yong Qing
Publication year - 2020
Publication title -
macromolecular chemistry and physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.57
H-Index - 112
eISSN - 1521-3935
pISSN - 1022-1352
DOI - 10.1002/macp.202000052
Subject(s) - viscoelasticity , polymer , glass transition , shape memory polymer , relaxation (psychology) , materials science , dynamic mechanical analysis , polymer chemistry , modulus , polymer science , thermodynamics , statistical physics , composite material , physics , psychology , social psychology
Abstract A hydrodynamic model is proposed to describe conformational relaxation of molecules, viscoelasticity of arms, and hierarchical multiple‐shape memory effect (multi‐SME) of hyper‐branched polymer. Fox–Flory and Boltzmann’s principles are employed to characterize and predict the hierarchical relaxations and their multi‐SMEs in hyper‐branched polymers. A constitutive relationship among relaxation time, molecular weight, glass transition temperature, and viscoelastic modulus is then formulated. Results reveal that molecular weight and number of arms of the topologically hyper‐branched polymers significantly influence their hydrodynamic relaxations and shape memory behaviors. The effectiveness of model is demonstrated by applying it to predict mechanical and shape recovery behaviors of hyper‐branched polymers, and the theoretical results show good agreements with the experimental ones. This study is expected to provide an effective guidance on designing multi‐SME in topologically hyper‐branched polymers.