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Gelation of PU elastomers: rheological characterization for liquid additive manufacturing 聚氨酯弹性体的凝胶化:用于液体添加剂制造的流变特性分析
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2024-04-27 DOI: 10.1007/s00397-024-01451-1
Peng Wang, H. Henning Winter, Manfred H. Wagner, Dietmar Auhl

Polyurethane (PU) is a versatile polymer with many applications in a wide range of products. A novel 3D printing technology called liquid additive manufacturing (LAM) extended its possibilities by generating PU elastomers with gradient properties in continuous processing. LAM, being a relatively new technique, has not been extensively researched, particularly in terms of the curing behavior of the liquid resin. In this work, we investigated the effect of composition on gelation time tGP as measured by time-resolved mechanical spectroscopy (TRMS) and analyzed using the Winter–Chambon criterion with the assistance of the IRIS software. This method is more accurate than the previous approach, which involved time sweeps with a constant frequency. It was found that the gel time tGP first decreased and then increased with increasing polyol ratio, ranging from 231 to 378 min. Furthermore, the crosslink densities of the different PU elastomers measured from the rheological and tensile tests were calculated and compared based on the theory of rubber elasticity. The crosslink density decreased with an increasing polyol ratio in both methods. However, the crosslink density values obtained from the rheological measurements were higher than those from the tensile tests. These findings demonstrate that adjusting the polyol ratio is an effective means of achieving gradient properties. The composition effects we measured offer valuable insights for the design of LAM–PU elastomers.

聚氨酯(PU)是一种多功能聚合物,可广泛应用于各种产品。一种名为液态增材制造(LAM)的新型 3D 打印技术通过在连续加工过程中生成具有梯度特性的聚氨酯弹性体,拓展了聚氨酯的应用范围。LAM 作为一种相对较新的技术,尚未得到广泛的研究,尤其是在液态树脂的固化行为方面。在这项工作中,我们研究了成分对凝胶化时间 tGP 的影响,凝胶化时间 tGP 由时间分辨机械光谱(TRMS)测量,并在 IRIS 软件的帮助下使用 Winter-Chambon 标准进行分析。这种方法比以前的方法更精确,因为以前的方法是以恒定频率进行时间扫描。结果发现,随着多元醇比率的增加,凝胶时间 tGP 先减小后增大,从 231 分钟到 378 分钟不等。此外,还根据橡胶弹性理论计算并比较了流变和拉伸试验测得的不同聚氨酯弹性体的交联密度。在两种方法中,交联密度都随着多元醇比率的增加而降低。不过,流变测量得出的交联密度值要高于拉伸试验得出的值。这些发现表明,调整多元醇比率是实现梯度特性的有效方法。我们测得的成分效应为 LAM-PU 弹性体的设计提供了宝贵的启示。
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引用次数: 0
Melt strain hardening of polymeric systems filled with solid particles: review and supplementary experimental results 填充固体颗粒的聚合物体系的熔融应变硬化:综述和补充实验结果
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2024-04-26 DOI: 10.1007/s00397-024-01452-0
Helmut Münstedt

Melt strain hardening is an interesting characteristic property of the elongational flow of polymers. While strain hardening of many unmodified polymer melts has been widely discussed, a comprehensive presentation of the influence of particles on this property is missing. Using literature data and own measurements, the effects of solid particles of various geometries are compared. Micro-sized particles generally reduce melt strain hardening and may even lead to strain thinning. This behavior is postulated to be due to shear flow components around the particles and resulting shear thinning of the polymer matrices that reduces the resistance to flow. More complex is the influence of nano-sized fillers and layered silicate nanoparticles, in particular. Weakly exfoliated particles show effects similar to micro-fillers, but for strongly exfoliated silicates distinct strain hardening is observed that increases with decreasing elongational rate. This behavior is particularly pronounced for polymers modified with maleic anhydrides and thought to be related to electrostatic forces between exfoliated platelets of the silicates and polymer molecules hindering molecular motions.

熔体应变硬化是聚合物拉伸流动的一个有趣特性。虽然许多未改性聚合物熔体的应变硬化已被广泛讨论,但还没有全面介绍颗粒对这一特性的影响。我们利用文献数据和自己的测量结果,对不同几何形状的固体颗粒的影响进行了比较。微小颗粒通常会降低熔体应变硬化,甚至可能导致应变变薄。据推测,这种行为是由于颗粒周围的剪切流成分以及聚合物基质的剪切变薄导致流动阻力减小。纳米级填料和层状硅酸盐纳米颗粒的影响更为复杂。弱剥离颗粒显示出与微填料类似的效果,但对于强剥离硅酸盐,则观察到明显的应变硬化,并随着伸长率的降低而增加。这种现象在马来酸酐改性的聚合物中尤为明显,并被认为与剥离的硅酸盐微粒和聚合物分子之间阻碍分子运动的静电力有关。
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引用次数: 0
Variable entanglement density constitutive rheological model for polymeric fluids 聚合物流体的可变纠缠密度构成流变模型
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2024-04-26 DOI: 10.1007/s00397-024-01444-0
Pavlos S. Stephanou

A variable-entanglement density constitutive model is developed for the description of the rheological properties of entangled polymer melts and concentrated polymer solutions using non-equilibrium thermodynamics (NET). It proposes two evolution equations: one for the average number of entanglements per chain and one for the orientation of entanglement strands. Direct comparison with non-equilibrium molecular dynamics simulation data shows that the model can accurately describe the loss of entanglements due to the applied flow for three molecular weights by using the same value for the convective constraint release (CCR) parameter. The CCR relaxation time depends on the trace of the inverse of the orientation tensor instead of an explicit dependency on the velocity gradient. Finally, the stress tensor contains an additional contribution inspired by the Curtiss-Bird or tumbling snake model. Overall, the model proposed here carefully derives via NET and builds upon the work of Ianniruberto-Marrucci when stretching is not considered.

Graphical abstract

利用非平衡热力学(NET)建立了一个可变纠缠密度构成模型,用于描述纠缠聚合物熔体和浓缩聚合物溶液的流变特性。该模型提出了两个演变方程:一个是每条链的平均纠缠数方程,另一个是纠缠链的取向方程。与非平衡分子动力学模拟数据的直接比较表明,该模型可以通过使用相同的对流约束释放(CCR)参数值,准确地描述三种分子量的外加流动造成的纠缠损失。CCR 松弛时间取决于取向张量的逆迹线,而不是明确取决于速度梯度。最后,受柯蒂斯-伯德(Curtiss-Bird)或翻滚蛇模型的启发,应力张量包含了额外的贡献。总之,本文提出的模型是通过 NET 精心推导出来的,并在不考虑拉伸的情况下,以 Ianniruberto-Marrucci 的工作为基础。
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引用次数: 0
Role of plasticity in the universal scaling of shear-thickening dense suspensions 塑性在剪切增稠致密悬浮液的普遍缩放中的作用
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2024-04-15 DOI: 10.1007/s00397-024-01443-1
Sachidananda Barik, Akhil Mohanan, Sayantan Majumdar

Increase in viscosity under increasing shear stress, known as shear thickening (ST), is one of the most striking properties of dense particulate suspensions. Under appropriate conditions, they exhibit discontinuous shear thickening (DST), where the viscosity increases dramatically and can also transform into a solid-like state due to shear-induced jamming (SJ). The microscopic mechanism giving rise to such interesting phenomena is still a topic of intense research. A phenomenological model proposed by Wyart and Cates shows that the proliferation of stress-activated interparticle frictional contacts can give rise to such striking flow properties. Building on this model, recent work proposes and verifies a universal scaling relation for ST systems where two different power-law regimes with a well-defined crossover point are obtained. Nonetheless, the difference in the nature of the flow in these two scaling regimes remains unexplored. Here, using rheology in conjugation with high-speed optical imaging, we study the flow and local deformations in various ST systems. We observe that with increasing applied stress, the smooth flow changes into a spatio-temporally varying flow across the scaling crossover. We show that such fluctuating flow is associated with intermittent dilatancy, shear-band plasticity, and fracture induced by system-spanning frictional contacts.

在剪切应力增加的情况下粘度增加,即剪切增稠(ST),是致密颗粒悬浮液最显著的特性之一。在适当的条件下,它们会表现出不连续剪切增稠(DST)现象,此时粘度会急剧增加,还可能由于剪切诱导堵塞(SJ)而转变为类似固体的状态。导致这种有趣现象的微观机制仍是一个热门研究课题。Wyart 和 Cates 提出的一个现象学模型表明,应力激活的颗粒间摩擦接触的扩散可以产生如此惊人的流动特性。在这一模型的基础上,最近的研究提出并验证了 ST 系统的普遍缩放关系,在这一关系中,得到了两种不同的幂律状态,并有一个明确的交叉点。然而,这两种比例关系中流动性质的差异仍有待探索。在此,我们将流变学与高速光学成像相结合,研究了各种 ST 系统中的流动和局部变形。我们观察到,随着外加应力的增加,平滑的流动会转变为跨越缩放交叉点的时空变化流动。我们发现,这种波动流动与间歇性扩张、剪切带塑性以及系统跨摩擦接触诱发的断裂有关。
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引用次数: 0
Statistical analysis of identification of linear viscoelastic models 线性粘弹性模型识别的统计分析
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2024-04-12 DOI: 10.1007/s00397-024-01442-2
Tiago Lima de Sousa, Jéderson da Silva, Jucélio Tomas Pereira

Viscoelastic materials (VEMs) have gained increasing popularity for their ability to dampen vibrations in various structural applications in recent years. The mechanical characteristics of VEMs can be effectively described using constitutive models featuring both integer and fractional derivatives. This study examines the mechanical behavior of VEMs using fractional Zener models with four, five, and six parameters, as well as the generalized Maxwell model with 16 parameters, which relies on integer derivatives. To accomplish this, the study formulates an optimization problem with the aim of minimizing an error function defined by the quadratic relative distance between theoretical model responses and experimental data. Solving the optimization problem involves the use of a hybrid optimization technique, which combines genetic algorithms and non-linear programming. After obtaining optimal designs for each viscoelastic model, qualitative assessments demonstrate that all analytical models provide satisfactory fits to the experimental data. Subsequently, a statistical analysis employing Akaike’s Information Criterion is conducted to identify the models that best describe the mechanical behavior of the analyzed VEMs. In this quantitative evaluation encompassing all viscoelastic models, it is noted that the generalized Maxwell model with 16 terms produces a lower relative error and statistically outperforms the fractional Zener models only in a global analysis. However, in a temperature-by-temperature analysis, the GMM16 proves to be inferior to all fractional models. Furthermore, when focusing solely on the fractional models, the five-parameter Fractional Zener Model exhibits the best statistical fit to the experimental data.

近年来,粘弹性材料(VEM)因其在各种结构应用中的减震能力而越来越受欢迎。使用具有整数和分数导数的构成模型可以有效地描述 VEM 的机械特性。本研究使用具有四个、五个和六个参数的分数齐纳模型,以及具有 16 个参数的广义麦克斯韦模型(该模型依赖于整数导数)来研究 VEM 的机械行为。为此,研究提出了一个优化问题,目的是最小化误差函数,该误差函数由理论模型响应与实验数据之间的二次相对距离定义。解决优化问题需要使用混合优化技术,该技术结合了遗传算法和非线性编程。在获得每个粘弹性模型的优化设计后,定性评估表明所有分析模型都能令人满意地拟合实验数据。随后,采用 Akaike 信息准则进行统计分析,以确定最能描述所分析的 VEM 机械行为的模型。在这一涵盖所有粘弹性模型的定量评估中,我们注意到,包含 16 个项的广义麦克斯韦模型产生的相对误差较小,仅在总体分析中,其统计性能优于分数齐纳模型。然而,在逐温分析中,GMM16 被证明不如所有分数模型。此外,如果只关注分数模型,五参数分数齐纳模型与实验数据的统计拟合效果最好。
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引用次数: 0
Shear and extensional rheology of polyethylenes recycled using a solvent dissolution process 利用溶剂溶解工艺回收聚乙烯的剪切和拉伸流变学特性
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2024-04-11 DOI: 10.1007/s00397-024-01446-y
Guinevere Tillinghast, Kevin L. Sánchez-Rivera, George W. Huber, H. Henning Winter, Jonathan P. Rothstein

There is high market demand for increasing the viability of current plastic recycling processes. In this work rheology is used to evaluate the mechanical properties of a solvent dissolution recycled polymer compared to its virgin untreated precursor. Solvent dissolution and precipitation are used to target multi-layer, multi-component, industry films, which cannot be mechanically recycled. Polyethylene was chosen as the primary polymer of interest. Polymer thermal stability was monitored via time-resolved rheology; consecutive frequency sweeps over the course of an hour while under isothermal conditions. Additional rheological experiments were performed within the identified thermally stable conditions. Small-angle oscillatory shear was complemented with steady shear viscosity experiments over a wide range of shear rates. Extensional rheology was used to determine changes in molecular weight and cross link density. Rheological characterization is supplemented with gas chromatography–mass spectrometry of the solvent wash to determine components stripped from the virgin polymers during solvent treatment.

Graphical abstract

市场对提高当前塑料回收工艺可行性的需求很高。在这项研究中,流变学被用来评估溶剂溶解回收聚合物与其未经处理的原生前体相比的机械性能。溶剂溶解和沉淀用于针对多层、多组分的工业薄膜,这些薄膜无法进行机械回收。聚乙烯被选为主要的相关聚合物。聚合物的热稳定性通过时间分辨流变学进行监测;在等温条件下,在一小时内连续扫描频率。在确定的热稳定条件下还进行了其他流变实验。除了小角度振荡剪切实验外,还在很大的剪切速率范围内进行了稳定剪切粘度实验。延伸流变学用于确定分子量和交联密度的变化。流变学表征还辅以溶剂洗液的气相色谱-质谱分析,以确定在溶剂处理过程中从原始聚合物中剥离的成分。
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引用次数: 0
Interfacial shear and elongational rheology of immiscible multi-micro-nanolayered polymers: contribution for probing the effect of highly mismatched viscoelastic properties and modeling interfacial tension properties 互不相溶的多微纳层状聚合物的界面剪切和拉伸流变学:有助于探测高度不匹配粘弹特性的影响和建立界面张力特性模型
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2024-04-09 DOI: 10.1007/s00397-024-01445-z
Jixiang Li, Ibtissam Touil, Bo Lu, Huagui Zhang, Abderrahim Maazouz, Khalid Lamnawar

The present work explores the shear and extensional rheology of immiscible multi-micro/nanolayered systems comprising low-density polyethylene (LDPE) paired with polystyrene (PS) and polycarbonate (PC) obtained from forced-assembly multilayer coextrusion. Firstly, miscible multilayer references based on LDPE/LLDPE layers were prepared with their miscibility characterized by shear and elongational measurements. Their strain hardening behaviors were found to be intricately linked to the number of layers and confinement. Secondly, for immiscible LDPE/PS and LDPE/PC multilayers with symmetric (50/50) and asymmetric (10/90) compositions, negative deviation of complex viscosities from neat polymers was highlighted because of the heightened confinement of LDPE chains by PS or PC and reduced entanglements at polymer–polymer interfaces. Intriguingly, LDPE/PC systems exhibited no strain hardening irrespective of layer configuration, while the geometric confinement imposed by PS layers facilitated interactions between single chains with long-chain branching (LCB), leading to strain hardening under specific conditions. Furthermore, the extensional viscosities were predicted using the Macosko model (C.W. Macosko et al. Journal of Rheology. 63 2019), accurately describing the behavior of 1024 layered films for both asymmetric (10/90) LDPE/PS and LDPE/PC systems, but not for 32 layers due to a limited number of interfaces. This study provides insights into quantifying interfacial tension properties in micro/nano-layered systems with high mismatched viscoelastic polymers, shedding light on their strain hardening properties in the presence of increased interfacial area.

Graphical abstract

本研究探讨了由低密度聚乙烯(LDPE)与聚苯乙烯(PS)和聚碳酸酯(PC)组成的不相溶多微层/单层体系的剪切和拉伸流变学。首先,制备了基于 LDPE/LLDPE 层的混溶多层参考材料,并通过剪切和拉伸测量对其混溶性进行了表征。研究发现,它们的应变硬化行为与层数和密闭性密切相关。其次,对于具有对称(50/50)和不对称(10/90)成分的不相溶低密度聚乙烯/聚苯乙烯和低密度聚乙烯/聚碳酸酯多层膜,由于聚苯乙烯或聚碳酸酯增强了对低密度聚乙烯链的限制,并减少了聚合物-聚合物界面的缠结,因此复合粘度与纯聚合物的负偏差非常明显。耐人寻味的是,无论层配置如何,低密度聚乙烯/聚碳酸酯体系都不会表现出应变硬化,而 PS 层施加的几何限制促进了具有长链分支(LCB)的单链之间的相互作用,从而在特定条件下导致应变硬化。此外,使用 Macosko 模型(C.W. Macosko 等人,《流变学杂志》,2019 年第 63 期)预测了 1024 层薄膜在不对称(10/90)LDPE/PS 和 LDPE/PC 系统中的延伸粘度,但由于界面数量有限,32 层薄膜的延伸粘度无法预测。这项研究为量化具有高不匹配粘弹性聚合物的微/纳米层体系的界面张力特性提供了见解,揭示了它们在界面面积增加时的应变硬化特性。
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引用次数: 0
Impact of slurry preparation method on the rheological behaviour of dense anode slurries for lithium-ion batteries 浆料制备方法对锂离子电池致密正极浆料流变特性的影响
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2024-03-19 DOI: 10.1007/s00397-024-01440-4
Soichiro Makino, Yusuke Akimoto, Masahiko Ishii, Hiroshi Nakamura

Understanding and controlling the rheology of electrode slurries for lithium-ion batteries is critical both for improving their manufacturing efficiency and for achieving desirable battery performance. Here, we show drastic “slurry-preparation-dependent” rheology in an anode slurry for lithium-ion batteries, focusing on the behaviour of carboxymethyl cellulose (CMC), which is the most popular dispersant for graphite particles in anode slurries. Slurry preparation with dry-state mixing, where water is added to a dry mixture of graphite and CMC powder, results in much higher viscosity, yield stress, and elastic modulus than those achieved with conventional wet-state mixing, where graphite is added to a CMC solution. Cryogenic scanning electron microscopy reveals strange CMC “clumps” formed among the graphite particles in the slurry prepared with dry-state mixing. We attribute the increases in viscosity, yield stress, and elastic modulus for the slurries prepared with dry-state mixing to these clumps of CMC, which can enhance the adhesion between graphite particles and thereby constrain their motion. We also show that pre-shearing irreversibly decreases viscosity, yield stress, and elastic modulus, suggesting that the clumps of CMC are irreparably broken down by applied shear. The influence of the slurry preparation method on the rheological properties of anode slurries has not received attention in previous studies. Hence, we believe that our results might provide new strategies for controlling the rheology of the anode slurry in the manufacturing process for lithium-ion batteries.

了解和控制锂离子电池电极浆料的流变性对于提高其生产效率和实现理想的电池性能至关重要。在这里,我们展示了锂离子电池负极浆料中剧烈的 "浆料制备依赖性 "流变,重点是羧甲基纤维素(CMC)的行为,CMC 是负极浆料中石墨颗粒最常用的分散剂。采用干态混合法制备浆料,即在石墨和 CMC 粉末的干混合物中加水,其粘度、屈服应力和弹性模量远高于传统湿态混合法(即在 CMC 溶液中加入石墨)所获得的粘度、屈服应力和弹性模量。低温扫描电子显微镜显示,在干态混合制备的浆料中,石墨颗粒之间形成了奇怪的 CMC "团块"。我们将干态混合制备的浆料粘度、屈服应力和弹性模量的增加归因于这些 CMC 团块,它们可以增强石墨颗粒之间的粘附力,从而限制石墨颗粒的运动。我们还发现,预剪切会不可逆地降低粘度、屈服应力和弹性模量,这表明在施加剪切力时,CMC团块会被不可修复地分解。在以往的研究中,浆料制备方法对阳极浆料流变特性的影响尚未引起重视。因此,我们相信我们的研究结果可能会为锂离子电池制造过程中负极浆料流变性的控制提供新的策略。
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引用次数: 0
Controlling the rheo-electric properties of graphite/carbon black suspensions by ‘flow switching’ 通过 "流动切换 "控制石墨/炭黑悬浮液的流变电特性
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2024-03-13 DOI: 10.1007/s00397-024-01439-x
Thomas Larsen, John R. Royer, Fraser H. J. Laidlaw, Wilson C. K. Poon, Tom Larsen, Søren J. Andreasen, Jesper de C. Christiansen

Abstract

The ability to manipulate rheological and electrical properties of colloidal carbon black gels makes them attractive in composites for energy applications such as batteries and fuel cells, where they conduct electricity and prevent sedimentation of ‘granular’ active components. While it is commonly assumed that granular fillers have a simple additive effect on the composite properties, new phenomena can emerge unexpectedly, with some composites exhibiting a unique rheological bi-stability between high-yield-stress and low-yield-stress states. Here we report such bi-stability in suspensions of non-Brownian graphite and colloidal carbon black in oil, a model system to mimic composite suspensions for energy applications. Steady shear below a critical stress elicits a transition to a persistent mechanically weak and poorly conducting state, which must be ‘rejuvenated’ using high-stress shear to recover a stronger, high-conductivity state. Our findings highlight the highly tunable nature of binary granular/gel composite suspensions and present new possibilities for optimising mixing and processing conditions for Li-ion battery slurries.

Graphical abstract

摘要胶体炭黑凝胶具有流变和电学特性,因此在电池和燃料电池等能源应用领域的复合材料中很有吸引力,因为它们能导电并防止 "颗粒状 "活性成分沉积。虽然人们通常认为颗粒填料对复合材料的性能具有简单的叠加效应,但新现象可能会出乎意料地出现,一些复合材料在高屈服应力和低屈服应力状态之间表现出独特的流变双稳态性。在这里,我们报告了油中非布朗石墨和胶体炭黑悬浮液的这种双稳态性,这是一种模拟能源应用中复合悬浮液的模型系统。低于临界应力的稳定剪切会导致向持续的机械弱导电状态过渡,这种状态必须通过高应力剪切才能 "恢复活力",从而恢复到较强的高导电状态。我们的研究结果突显了二元颗粒/凝胶复合悬浮液的高度可调性,为优化锂离子电池浆料的混合和加工条件提供了新的可能性。 图文摘要
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引用次数: 0
Correction to: A metamodel for confined yield stress flows and parameters’ estimation 更正:约束屈服应力流元模型及参数估计
IF 2.3 3区 工程技术 Q2 Engineering Pub Date : 2024-03-06 DOI: 10.1007/s00397-024-01441-3
Clément Berger, David Coulette, P. Vigneaux
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引用次数: 0
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Rheologica Acta
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