Rheologica ActaPub Date : 2025-08-25DOI: 10.1007/s00397-025-01515-w
Mohua Das, Jarno L. Waeterloos, Christian Clasen, Gareth H. McKinley
{"title":"Single cells are compactly and accurately described as fractional Kelvin-Voigt materials","authors":"Mohua Das, Jarno L. Waeterloos, Christian Clasen, Gareth H. McKinley","doi":"10.1007/s00397-025-01515-w","DOIUrl":"10.1007/s00397-025-01515-w","url":null,"abstract":"<p>The mechanobiology of single cells plays a crucial role in various biological processes, including embryonic development, cancer treatment, and wound healing. This study highlights the use of the fractional Kelvin-Voigt model (FKVM)—a viscoelastic model consisting of two Scott Blair elements in parallel—to compactly and accurately characterize single-cell rheology. Unlike traditional power law models, which primarily capture the key features of the mechanical response at long timescales, the FKVM effectively captures both short- and long-timescale mechanical responses with a minimal number of constitutive parameters. Experimental small-amplitude oscillatory shear (SAOS) data for dividing canine kidney cells, creep data of human K562 erythroleukemic cells, and creep recovery data of blastomere cytoplasm are all analyzed to showcase the accuracy and versatility of the FKVM. Additionally, for the first time, the continuous relaxation and retardation spectra corresponding to the fractional differential formulation of the FKVM are derived. These results establish a comprehensive framework for predictive analysis of single-cell rheology in both the time and frequency domains.</p>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 8","pages":"407 - 421"},"PeriodicalIF":3.0,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00397-025-01515-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923238","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}
Rheologica ActaPub Date : 2025-08-15DOI: 10.1007/s00397-025-01511-0
Alessandro Perego, Damien C. Vadillo, Matthew J. L. Mills, Mohua Das, Gareth H. McKinley FRS
{"title":"Evaluation of optimally windowed chirp signals in industrial rheological measurements: method development and data processing","authors":"Alessandro Perego, Damien C. Vadillo, Matthew J. L. Mills, Mohua Das, Gareth H. McKinley FRS","doi":"10.1007/s00397-025-01511-0","DOIUrl":"10.1007/s00397-025-01511-0","url":null,"abstract":"<div><p>The optimally windowed chirp (OWCh) methodology offers an alternative to traditional discrete frequency sweeps, acquiring complete rheological spectra in seconds while preserving data density and accuracy. For thermorheologically simple materials, OWCh accelerates data collection, enabling rapid creation of time–temperature superposition (tTS) master curves, potentially saving hours of instrument time. For mutating materials, such as those undergoing curing, OWCh facilitates detailed rheological characterization of viscoelastic properties throughout these transition events. We implemented OWCh within an industrial analytical research framework using commercially available rheometers. This integration is enhanced by two custom Python packages, piblin and hermes-rheo, which streamline and automate analysis of rheological datasets. For thermorheologically simple materials, this framework reduces tTS master curve data collection time by 40% while increasing data density by an order of magnitude. For mutating materials, we leverage the mutation number to design OWCh waveforms, effectively probing the characteristic timescale of fast thermomechanical transitions during curing experiments.</p></div>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 8","pages":"391 - 406"},"PeriodicalIF":3.0,"publicationDate":"2025-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923152","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}
Rheologica ActaPub Date : 2025-08-04DOI: 10.1007/s00397-025-01509-8
Manfred H. Wagner, Max G. Schußmann, Manfred Wilhelm, Valerian Hirschberg
{"title":"A novel generalized strain hardening index (SHI) for long-chain branched polymer melts and its correlation to the steady-state compliance","authors":"Manfred H. Wagner, Max G. Schußmann, Manfred Wilhelm, Valerian Hirschberg","doi":"10.1007/s00397-025-01509-8","DOIUrl":"10.1007/s00397-025-01509-8","url":null,"abstract":"<div><p>Strain hardening of polymer melts in extensional flows is considered a desirable rheological feature because it stabilizes the homogeneity of free surface flows which is of importance, e.g., in film blowing, blow molding, and fiber spinning. Relating strain hardening to molecular characteristics, specifically topology in homopolymer melts, has been a long-standing challenge in rheology. While long-chain branching is known to be a decisive feature to enhance strain hardening, a general, quantitative relation between strain hardening and molecular topology is still missing. We propose a novel Strain Hardening Index (SHI) that can be used to assess the strain hardening behavior and to compare strain hardening of polymer melts with different topology and different chemistry, and we discuss its correlation with the steady-state compliance <span>(J_s^0)</span>. We consider the strain hardening characteristics of model polystyrene comb and pom-pom systems as well as of model poly(( ±)-lactide) graft copolymers and several polydisperse low-density polyethylene melts. We show that the proposed SHI of typical low-density polyethylene melts is equivalent to that of polystyrene pom-poms and combs with specific topologies. This finding might pave the way to rheologically informed topological tailoring of the strain hardening of industrially important polymers such as, e.g., polyethylene.</p><h3>Graphical Abstract</h3>\u0000<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 8","pages":"355 - 368"},"PeriodicalIF":3.0,"publicationDate":"2025-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00397-025-01509-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923195","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}
Rheologica ActaPub Date : 2025-07-30DOI: 10.1007/s00397-025-01513-y
Emily Cook, Mahdi Davoodi, Duncan Hewitt
{"title":"‘Ideal’ thixotropic models and their phenomenological behaviour","authors":"Emily Cook, Mahdi Davoodi, Duncan Hewitt","doi":"10.1007/s00397-025-01513-y","DOIUrl":"10.1007/s00397-025-01513-y","url":null,"abstract":"<div><p>Numerous industrial, biological and geophysical fluids display the time-dependent rheological property known as thixotropy, in which the viscosity evolves over time and in response to changes in stress or strain rate. A wide range of phenomenological behaviour is associated with this property, and numerous models have been proposed and used to capture this. The aim of this paper is to classify systematically how modelling choices correspond to predicted behaviour, and, conversely, how observed behaviour can inform modelling choices. To this end, ‘ideal’ thixotropic models (without elasticity) are considered from a theoretical standpoint and the range of behaviour that different models can predict are explored. The approach is illustrated by considering the steady and transient responses to simple shear, with particular emphasis given to the role of the steady-state flow curve for a given model construction. The requirements for models to capture complex rheological phenomena like yield-stress ageing and “viscosity bifurcations” are outlined, and the implications of different modelling choices are discussed. The importance of carefully analysing the type of behaviour that a given thixotropic model can exhibit is highlighted.</p></div>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 8","pages":"369 - 390"},"PeriodicalIF":3.0,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00397-025-01513-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923269","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}
Rheologica ActaPub Date : 2025-07-12DOI: 10.1007/s00397-025-01507-w
José Alberto Rodríguez Agudo, Jan Haeberle, Jörg Läuger, Joachim Kaschta, Helmut Münstedt
{"title":"Sample uniformity during elongational measurements on polymer melts and its visualization on Sentmanat-type rheometers","authors":"José Alberto Rodríguez Agudo, Jan Haeberle, Jörg Läuger, Joachim Kaschta, Helmut Münstedt","doi":"10.1007/s00397-025-01507-w","DOIUrl":"10.1007/s00397-025-01507-w","url":null,"abstract":"<div><p>Measurements of elongational properties of polymer melts with counter-rotating drums according to Sentmanat have become very popular over recent years. However, some results contrary to those obtained from classical elongational rheometers are published, particularly at higher elongations at which the uniformity of sample deformation plays a decisive role. In this paper, it is reviewed how the uniformity of sample geometry was determined in pioneering devices, and experimental results were verified by applying various deformation modes and different types of rheometers. Concerning the commercial counter-rotating drums insets, uniform sample deformation is often assumed but rarely verified. To overcome this deficiency, a video equipment synchronized with the rheometer functions was installed. On commercial products of a high density polyethylene and a linear polypropylene, it was shown that maxima of tensile stress or elongational viscosity, respectively, are accompanied by non-uniform elongations. An algorithm is presented for the numerical description of the sample edges. From a comparison of the width averages as a function of experimental time with the corresponding data for the uniform deformation, conclusions with respect to the uniformity of a sample can be drawn and the range assessed, in which an evaluation is based on reliable measurements.</p><h3>Graphical Abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 8","pages":"337 - 353"},"PeriodicalIF":3.0,"publicationDate":"2025-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00397-025-01507-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923143","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}
Rheologica ActaPub Date : 2025-07-07DOI: 10.1007/s00397-025-01498-8
Damien C. Vadillo, Crystal E. Owens, Alessandro Perego, Gareth H. McKinley
{"title":"Vane rheometry of viscoelastic liquids and yield stress fluids","authors":"Damien C. Vadillo, Crystal E. Owens, Alessandro Perego, Gareth H. McKinley","doi":"10.1007/s00397-025-01498-8","DOIUrl":"10.1007/s00397-025-01498-8","url":null,"abstract":"<div><p>An inter-laboratory comparison was performed to set a baseline for how the properties of difficult materials vary based on location and measurement tool. These tests focused on rheology of a Newtonian fluid, a viscous silicone oil, and two colloidal gels with yield stress behavior: a commercially available milk-based cream and an aging aluminum oxide hydroxide gel. Rheological data were collected on these materials using an array of rheometric test geometries including a cone and plate, parallel plates, a cup and bob, a 4-arm vane, and 12- and 24-arm vanes having fractal cross section that were fabricated independently by each lab and for which accurate torque and rotation conversion factors have been established. Characterization by the 3D-printed fractal vanes agree between the two laboratories and agree with reference data obtained with cone-and-plate, parallel-plate, and cup-and-bob measurement tools. The viscous oil exhibited predominantly Newtonian behavior in shear while weak viscoelastic effects emerged at high frequency and can be accurately described by a fractional Maxwell model. The colloidal gels exhibited a more intricate thixo-elastoviscoplastic (TEVP) rheological behavior, including thixotropy, as well as distinct dynamic and static yield stresses. To explore the elastoviscoplastic character of these systems, we show how the fractal vane geometry can be readily utilized with such materials to measure creep and partial elastic recoil without concern about slip or shear banding.</p></div>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 6-7","pages":"315 - 335"},"PeriodicalIF":3.0,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145142668","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}
Rheologica ActaPub Date : 2025-07-05DOI: 10.1007/s00397-025-01508-9
Federico Peruzzini, Jonathan M. Dodds, Christopher J. Cunliffe, Henry C.-H. Ng, Robert J. Poole
{"title":"An effective viscosity model for suspensions of non-Brownian particles in aqueous xanthan gum matrices","authors":"Federico Peruzzini, Jonathan M. Dodds, Christopher J. Cunliffe, Henry C.-H. Ng, Robert J. Poole","doi":"10.1007/s00397-025-01508-9","DOIUrl":"10.1007/s00397-025-01508-9","url":null,"abstract":"<div><p>Several models are available in the literature describing the viscosity of suspensions, but only a few incorporate the complex nature of the matrix. When they do so, they use the power law model. We propose a viscosity model based on the Cross model for non-Newtonian suspensions, consisting of non-Brownian particles in aqueous xanthan gum (XG) solutions. Aqueous solutions of xanthan gum with and without calcium carbonate particles (CC) were tested. We prepared mixtures with tap water at XG wt% in the semidilute regime, and CC vol% between 5% and 30%. Two different mixing protocols were used, differing in whether or not solutions were prepared via dilution with the stock XG solution. The base xanthan gum viscosities were collapsed into a master curve based on the Cross model. The shear-thinning behaviour is described as a function of polymer concentration by scaling laws for the Cross parameters, the zero-shear viscosity <span>(eta _{0})</span>, infinite shear viscosity <span>(eta _{infty })</span>, consistency index <i>K</i> and the <i>m</i> index. Protocol 1 mixtures could give rise to suspensions viscosities <i>lower</i> than the base XG fluid. This behaviour was attributed to the mixing procedure and named the “dilution effect”. Protocol 2 was developed to correct the mixing procedure. A predictive model was formulated by deriving an effective viscosity equation using the Cross model. The results show the relative effective viscosity to be roughly independent of the shear rate between <span>(1 mathrm{s^{-1}})</span> and <span>(1000 mathrm{s^{-1}})</span>. A collapse of the average relative effective viscosities was achieved using an existing model for Newtonian suspensions.</p></div>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 6-7","pages":"293 - 314"},"PeriodicalIF":3.0,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00397-025-01508-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145142336","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}
Rheologica ActaPub 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
{"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}
{"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}
Rheologica ActaPub Date : 2025-06-09DOI: 10.1007/s00397-025-01494-y
Teng Cui, Shuang Liu, Manfred H. Wagner, Qian Huang
{"title":"Consistent modeling of nonlinear shear and elongational start-up data of entangled polystyrene solutions","authors":"Teng Cui, Shuang Liu, Manfred H. Wagner, Qian Huang","doi":"10.1007/s00397-025-01494-y","DOIUrl":"10.1007/s00397-025-01494-y","url":null,"abstract":"<div><p>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.</p><h3>Graphical Abstract</h3>\u0000<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":755,"journal":{"name":"Rheologica Acta","volume":"64 6-7","pages":"255 - 261"},"PeriodicalIF":3.0,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00397-025-01494-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143272","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}