Valerian Hirschberg, Max G. Schußmann, Marie-Christin Röpert, Anika Goecke, Manfred Wilhelm, Manfred H. Wagner
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If the length of the arm is shorter than the length of the backbone, i.e. <i>M</i><sub><i>w,a</i></sub> < <i>M</i><sub><i>w,b</i></sub>, and despite the vastly different topologies considered, the elongational stress growth coefficient can be modeled by the Hierarchical Multi-mode Molecular Stress Function (HMMSF) model, based exclusively on the linear-viscoelastic characterization and a single nonlinear parameter, the dilution modulus. If the length of the arms of the stars is similar or longer than the length of the backbone chain (<i>M</i><sub><i>w,a</i></sub> ≥ <i>M</i><sub><i>w,b</i></sub>) connecting two stars, the impact of the backbone chain on the rheology vanishes and the elongational stress growth coefficient is dominated by the star topology showing similar features of the elongational stress growth coefficient as those of linear polymers.</p><h3>Graphical Abstract</h3>\n<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"63 6","pages":"407 - 422"},"PeriodicalIF":2.3000,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00397-024-01455-x.pdf","citationCount":"0","resultStr":"{\"title\":\"Elongational rheology of 2, 3 and 4 polymer stars connected by linear backbone chains\",\"authors\":\"Valerian Hirschberg, Max G. Schußmann, Marie-Christin Röpert, Anika Goecke, Manfred Wilhelm, Manfred H. Wagner\",\"doi\":\"10.1007/s00397-024-01455-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We consider the elongational rheology of model polystyrene topologies with 2, 3 and 4 stars, which are connected by one (2-star or “Pom-Pom”), two (3-star) and three (4-star) linear backbone chains. The number of arms of each star varies from <i>q</i><sub><i>a</i></sub> = 3 to 24, the molecular weight of the arms from <i>M</i><sub><i>w,a</i></sub> = 25 kg/mol to 300 kg/mol, and the backbone chains from <i>M</i><sub><i>w,b</i></sub> = 100 kg/mol to 382 kg/mol. If the length of the arm is shorter than the length of the backbone, i.e. <i>M</i><sub><i>w,a</i></sub> < <i>M</i><sub><i>w,b</i></sub>, and despite the vastly different topologies considered, the elongational stress growth coefficient can be modeled by the Hierarchical Multi-mode Molecular Stress Function (HMMSF) model, based exclusively on the linear-viscoelastic characterization and a single nonlinear parameter, the dilution modulus. 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Elongational rheology of 2, 3 and 4 polymer stars connected by linear backbone chains
We consider the elongational rheology of model polystyrene topologies with 2, 3 and 4 stars, which are connected by one (2-star or “Pom-Pom”), two (3-star) and three (4-star) linear backbone chains. The number of arms of each star varies from qa = 3 to 24, the molecular weight of the arms from Mw,a = 25 kg/mol to 300 kg/mol, and the backbone chains from Mw,b = 100 kg/mol to 382 kg/mol. If the length of the arm is shorter than the length of the backbone, i.e. Mw,a < Mw,b, and despite the vastly different topologies considered, the elongational stress growth coefficient can be modeled by the Hierarchical Multi-mode Molecular Stress Function (HMMSF) model, based exclusively on the linear-viscoelastic characterization and a single nonlinear parameter, the dilution modulus. If the length of the arms of the stars is similar or longer than the length of the backbone chain (Mw,a ≥ Mw,b) connecting two stars, the impact of the backbone chain on the rheology vanishes and the elongational stress growth coefficient is dominated by the star topology showing similar features of the elongational stress growth coefficient as those of linear polymers.
期刊介绍：
"Rheologica Acta is the official journal of The European Society of Rheology. The aim of the journal is to advance the science of rheology, by publishing high quality peer reviewed articles, invited reviews and peer reviewed short communications.
The Scope of Rheologica Acta includes:
- Advances in rheometrical and rheo-physical techniques, rheo-optics, microrheology
- Rheology of soft matter systems, including polymer melts and solutions, colloidal dispersions, cement, ceramics, glasses, gels, emulsions, surfactant systems, liquid crystals, biomaterials and food.
- Rheology of Solids, chemo-rheology
- Electro and magnetorheology
- Theory of rheology
- Non-Newtonian fluid mechanics, complex fluids in microfluidic devices and flow instabilities
- Interfacial rheology
Rheologica Acta aims to publish papers which represent a substantial advance in the field, mere data reports or incremental work will not be considered. Priority will be given to papers that are methodological in nature and are beneficial to a wide range of material classes. It should also be noted that the list of topics given above is meant to be representative, not exhaustive. The editors welcome feedback on the journal and suggestions for reviews and comments."
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