Pub Date : 2025-06-25DOI: 10.1007/s00397-025-01502-1
Yuichi Masubuchi, Max G. Schußmann, Kyu Hyun, Manfred Wilhelm, Valerian Hirschberg, Giovanni Ianniruberto, Giuseppe Marrucci
Despite many attempts, the molecular mechanism of the nonlinear viscoelastic response of polymeric liquids in fast shear flows has not yet been fully elucidated. In this study, we examined the viscosity growth curves for a few well-characterized, nearly monodisperse, densely branched pom-pom polystyrene melts. The viscosity growth curves exhibit double peaks rather than the widely reported (for most polymer melts) single peak. To investigate the underlying molecular mechanism responsible for the observed behavior, we conducted primitive chain network (multi-chain sliplink) simulations, and found that the first and second peaks correspond to arm orientation and backbone stretch, respectively. We further observed that backbone stretch is reduced by coherent molecular tumbling at the flow start-up, and hence the second peak intensity comes out comparable to that of the orientation-induced first peak. In our sample, the number of backbone entanglements is small, so the mechanism of branchpoint withdrawal does not play a significant role.
{"title":"Primitive chain network simulations of double peaks in viscosity growth curves of densely branched pom-pom polymer melts in fast shear flows","authors":"Yuichi Masubuchi, Max G. Schußmann, Kyu Hyun, Manfred Wilhelm, Valerian Hirschberg, Giovanni Ianniruberto, Giuseppe Marrucci","doi":"10.1007/s00397-025-01502-1","DOIUrl":"10.1007/s00397-025-01502-1","url":null,"abstract":"<div><p>Despite many attempts, the molecular mechanism of the nonlinear viscoelastic response of polymeric liquids in fast shear flows has not yet been fully elucidated. In this study, we examined the viscosity growth curves for a few well-characterized, nearly monodisperse, densely branched pom-pom polystyrene melts. The viscosity growth curves exhibit double peaks rather than the widely reported (for most polymer melts) single peak. To investigate the underlying molecular mechanism responsible for the observed behavior, we conducted primitive chain network (multi-chain sliplink) simulations, and found that the first and second peaks correspond to arm orientation and backbone stretch, respectively. We further observed that backbone stretch is reduced by coherent molecular tumbling at the flow start-up, and hence the second peak intensity comes out comparable to that of the orientation-induced first peak. In our sample, the number of backbone entanglements is small, so the mechanism of branchpoint withdrawal does not play a significant role.</p></div>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 6-7","pages":"263 - 271"},"PeriodicalIF":3.0,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144687","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-24DOI: 10.1007/s00397-025-01505-y
Evgeniy Boyko
Viscoelastic fluid flows are widely described by elastic dumbbell models such as Oldroyd-B and FENE-P. However, these constitutive equations can yield significantly different predictions, which may contradict experimental observations. In this work, we analyze the fully developed flow of a viscoelastic fluid in a straight channel and present a theory based on the lubrication approximation for calculating the elastic stresses and flow rate for four elastic dumbbell models, including various microstructurally inspired terms. We compare the predictions of different models and elucidate the impact of (i) the finite extensibility, (ii) conformation-dependent friction coefficient, and (iii) conformation-dependent non-affine deformation on the polymer stresses, velocity, and flow rate. We demonstrate that including all three microstructurally inspired terms in a constitutive equation can significantly affect the response of a viscoelastic fluid even in a fully developed flow, thus highlighting their potential necessity for accurate modeling of viscoelastic channel flows with mixed kinematics.
{"title":"Pressure-driven fully developed flow of a viscoelastic fluid in narrow channels: the role of different microscopic features in an elastic dumbbell model","authors":"Evgeniy Boyko","doi":"10.1007/s00397-025-01505-y","DOIUrl":"10.1007/s00397-025-01505-y","url":null,"abstract":"<div><p>Viscoelastic fluid flows are widely described by elastic dumbbell models such as Oldroyd-B and FENE-P. However, these constitutive equations can yield significantly different predictions, which may contradict experimental observations. In this work, we analyze the fully developed flow of a viscoelastic fluid in a straight channel and present a theory based on the lubrication approximation for calculating the elastic stresses and flow rate for four elastic dumbbell models, including various microstructurally inspired terms. We compare the predictions of different models and elucidate the impact of (i) the finite extensibility, (ii) conformation-dependent friction coefficient, and (iii) conformation-dependent non-affine deformation on the polymer stresses, velocity, and flow rate. We demonstrate that including all three microstructurally inspired terms in a constitutive equation can significantly affect the response of a viscoelastic fluid even in a fully developed flow, thus highlighting their potential necessity for accurate modeling of viscoelastic channel flows with mixed kinematics.</p></div>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 9-10","pages":"517 - 530"},"PeriodicalIF":3.0,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00397-025-01505-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145479821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Correction to: The dynamic mechanical properties of EPDM rubber based on the fractional derivative constitutive model","authors":"Rongguo Zhao, Sibo Wen, Ziqi Hu, Taotao Tao, Yizhi Jiang, Ke Chen","doi":"10.1007/s00397-025-01506-x","DOIUrl":"10.1007/s00397-025-01506-x","url":null,"abstract":"","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 6-7","pages":"291 - 291"},"PeriodicalIF":3.0,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144121","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-21DOI: 10.1007/s00397-025-01504-z
Patrick J. McCauley, Catherine A. Fromen, Alexandra V. Bayles
Extrusion bioprinting is a rapidly developing technology that prints cell-laden materials or “bioinks” to create complex, three-dimensional tissue constructs. This technology could play a key role in tissue engineering, drug screening, and cancer research. However, cells can be damaged or killed by extrusion forces during printing, limiting throughput and feature resolution. Here, we propose a critical strain-based cell model for predicting cell viability during extrusion that incorporates process parameters, bioink rheology, and cell mechanical properties. We extract parameters from practical nozzle diameters and extrusion flow rates, from power law and Herschel-Bulkley fits to bioink bulk rheology, and from single-cell rheology measurements of cell stiffness and fluidity, and then combine them for the first time to predict viability. This model agrees well with existing cell viability studies and further predicts that cell viability decreases with increasing flow rate, increasing bioink viscosity, increasing nozzle length, or decreasing nozzle radius. Mechanistically, these effects are linked to changes in shear stress or residence time of cells within the nozzle, where the properties of specific cell types dictate their deformation and ultimately damage. This work demonstrates that incorporating cell mechanical properties into cell viability models can improve the qualitative agreement between modeling and experiments and thus provide data-driven guidelines for bioprinting design optimization.
Strong extrusion stresses can impact cell health. Depending on the proccess parameters, bioink rheology, and cell properties, cells can be critically deformed during extrusion bioprinting, resulting in cell death. Damaged cells are predicted to be localized closer to the walls of the nozzle at a radial position r> r(_{c}).
挤出生物打印是一项快速发展的技术,它可以打印装载细胞的材料或“生物墨水”来创建复杂的三维组织结构。这项技术可以在组织工程、药物筛选和癌症研究中发挥关键作用。然而,在打印过程中,细胞可能会被挤压力损坏或杀死,从而限制了吞吐量和特征分辨率。在这里,我们提出了一个关键的基于菌株的细胞模型,用于预测挤压过程中的细胞活力,该模型结合了工艺参数、生物链接流变学和细胞力学特性。我们从实际喷嘴直径和挤出流速中提取参数,从幂律和Herschel-Bulkley拟合中提取生物墨水体流变学参数,从单细胞流变学测量细胞刚度和流动性中提取参数,然后首次将它们结合起来预测生存能力。该模型与现有的细胞活力研究非常吻合,并进一步预测细胞活力会随着流速的增加、生物墨水粘度的增加、喷嘴长度的增加或喷嘴半径的减小而降低。从机械上讲,这些影响与喷嘴内细胞的剪切应力或停留时间的变化有关,其中特定细胞类型的特性决定了它们的变形和最终损坏。这项工作表明,将细胞力学特性纳入细胞活力模型可以提高模型和实验之间的定性一致性,从而为生物打印设计优化提供数据驱动的指导。强烈的挤压压力会影响细胞健康。根据工艺参数、生物墨水流变学和细胞特性,细胞在挤压生物打印过程中可能发生严重变形,导致细胞死亡。在径向位置r&gt; r (_{c}),损坏的细胞被预测定位在更靠近喷嘴壁的地方。
{"title":"Cell viability in extrusion bioprinting: the impact of process parameters, bioink rheology, and cell mechanics","authors":"Patrick J. McCauley, Catherine A. Fromen, Alexandra V. Bayles","doi":"10.1007/s00397-025-01504-z","DOIUrl":"10.1007/s00397-025-01504-z","url":null,"abstract":"<p>Extrusion bioprinting is a rapidly developing technology that prints cell-laden materials or “bioinks” to create complex, three-dimensional tissue constructs. This technology could play a key role in tissue engineering, drug screening, and cancer research. However, cells can be damaged or killed by extrusion forces during printing, limiting throughput and feature resolution. Here, we propose a critical strain-based cell model for predicting cell viability during extrusion that incorporates process parameters, bioink rheology, and cell mechanical properties. We extract parameters from practical nozzle diameters and extrusion flow rates, from power law and Herschel-Bulkley fits to bioink bulk rheology, and from single-cell rheology measurements of cell stiffness and fluidity, and then combine them for the first time to predict viability. This model agrees well with existing cell viability studies and further predicts that cell viability decreases with increasing flow rate, increasing bioink viscosity, increasing nozzle length, or decreasing nozzle radius. Mechanistically, these effects are linked to changes in shear stress or residence time of cells within the nozzle, where the properties of specific cell types dictate their deformation and ultimately damage. This work demonstrates that incorporating cell mechanical properties into cell viability models can improve the qualitative agreement between modeling and experiments and thus provide data-driven guidelines for bioprinting design optimization.</p><p><b>Strong extrusion stresses can impact cell health.</b> Depending on the proccess parameters, bioink rheology, and cell properties, cells can be critically deformed during extrusion bioprinting, resulting in cell death. Damaged cells are predicted to be localized closer to the walls of the nozzle at a radial position r> r<span>(_{c})</span>.</p>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 9-10","pages":"497 - 515"},"PeriodicalIF":3.0,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00397-025-01504-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145479657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-11DOI: 10.1007/s00397-025-01503-0
Tom Höfken, José Ruiz-Franco, Andrea Scotti, Emanuela Zaccarelli
Once surface active colloids, such as microgels, adsorb to an interface, they modify the viscoelastic properties of the interface. In contrast to what happens in bulk, the elastic properties have a non-monotonic dependence on the generalized area fraction. In this study, we describe this phenomena by performing molecular dynamic simulations of effective pair potentials in two dimensions. Our potential model is constructed by taking available interfacial rheology experimental results as a starting point. From this knowledge, we need to take into account, for very dense monolayers, that the interaction between adsorbed microgels has to consider multiple factors, including an increase in microgel stiffness when compressed and the presence of a dense inner core region. To account for these properties, we adopt a square-shoulder multi-Hertzian model, which predicts equilibrium structures and rheological properties in qualitatively agreement with experiments. Crucially, this model avoids the reentrant liquid behavior commonly observed with soft Hertzian-based pair potentials at high concentrations. Building on these insights, we thus explore the parameter space of this potential, providing novel predictions for dense monolayers composed of differently crosslinked microgels, awaiting for experimental investigation in the near future.
{"title":"Flow of microgels with different softness at the interface reproduced by a multi-Hertzian model","authors":"Tom Höfken, José Ruiz-Franco, Andrea Scotti, Emanuela Zaccarelli","doi":"10.1007/s00397-025-01503-0","DOIUrl":"10.1007/s00397-025-01503-0","url":null,"abstract":"<div><p>Once surface active colloids, such as microgels, adsorb to an interface, they modify the viscoelastic properties of the interface. In contrast to what happens in bulk, the elastic properties have a non-monotonic dependence on the generalized area fraction. In this study, we describe this phenomena by performing molecular dynamic simulations of effective pair potentials in two dimensions. Our potential model is constructed by taking available interfacial rheology experimental results as a starting point. From this knowledge, we need to take into account, for very dense monolayers, that the interaction between adsorbed microgels has to consider multiple factors, including an increase in microgel stiffness when compressed and the presence of a dense inner core region. To account for these properties, we adopt a square-shoulder multi-Hertzian model, which predicts equilibrium structures and rheological properties in qualitatively agreement with experiments. Crucially, this model avoids the reentrant liquid behavior commonly observed with soft Hertzian-based pair potentials at high concentrations. Building on these insights, we thus explore the parameter space of this potential, providing novel predictions for dense monolayers composed of differently crosslinked microgels, awaiting for experimental investigation in the near future.</p></div>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 12","pages":"773 - 784"},"PeriodicalIF":3.0,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00397-025-01503-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-06-09DOI: 10.1007/s00397-025-01494-y
Teng Cui, Shuang Liu, Manfred H. Wagner, Qian Huang
Nonlinear shear and elongational start-up data of three entangled PS solutions consisting of the same weight fraction of a linear long-chain polystyrene PS-600 k and three different styrene oligomeric solvents were recently reported by Cui et al. (Rheol Acta 64:97-105, 2025). The solvents are two linear styrene oligomers of different molecular weights as well as a star styrene oligomer. We show that start-up of shear viscosity and apparent normal stress difference as well as start-up of elongational viscosity can consistently be described by the Rotation Zero Stretch (RZS) model (Rheol Acta 63:573, 2024; Phys Fluids 36:093124, 2024), which is based on the tube model and a flow-strength sensitive evolution equation of stretch. In extensional flows, the RZS model reduces to the Enhanced Relaxation of Stretch (ERS) model (J Rheol. 65:1413, 2021). The modeling is based exclusively on the linear-viscoelastic characterization of the solutions and a consistent set of Rouse stretch relaxation times for PS-600 k.