Predicting maximum strain hardening factor in elongational flow of branched pom-pom polymers from polymer architecture

• Published in: Nature communications 2024-04, Vol.15 (1), p.3545-3545, Article 3545
• Main Authors: Schußmann, Max G., Wilhelm, Manfred, Hirschberg, Valerian
• Format: Article
• Language: English
• Subjects: 639/301/923/1028; 639/301/923/1029; Constitutive models; Humanities and Social Sciences; Mathematical models; Melts; Molecular dynamics; Molecular weight; multidisciplinary; Polymer melts; Polymers; Polystyrene; Polystyrene resins; Rheological properties; Science; Science (multidisciplinary); Strain hardening; Strain rate; Topology; Viscosity
• ISSN: 2041-1723; 2041-1723
• DOI: 10.1038/s41467-024-47782-8

We present a model-driven predictive scheme for the uniaxial extensional viscosity and strain hardening of branched polymer melts, specifically for the pom-pom architecture, using the small amplitude oscillatory shear mastercurve and the polymer architecture. A pom-pom shaped polymer is the simplest architecture with at least two branching points, needed to induce strain hardening. It consists of two stars, each with q arms of the molecular weight M w , a , connected by a backbone of M w , b . Despite the pom-pom constitutive model, experimental data of systematic investigations lack due to synthetic complexity. With an optimized approach, we synthesized polystyrene pom-pom model systems with systematically varied M w , a and M w , b . Experimentally, we identify four characteristic strain rate dependent regimes of the extensional viscosity, which can be predicted from the rheological mastercurve. Furthermore, we find that the industrially important maximum strain hardening factor depends only on the arm number by [ q 2 / ln ( 3 q ) ] . This framework offers a model-based design of branched polymers with predictable melt flow behavior. The quantitative connection between the molecular topology and molecular dynamics is a long-standing, fundamental challenge in polymer science. Here the authors present a model-driven predictive scheme for the uniaxial extensional viscosity and strain hardening of branched polymer melts, specifically for the pom-pom architecture.