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Effect of surfactant concentration on the rheological and aggregation behavior of a carbon nanotube suspension 表面活性剂浓度对碳纳米管悬浮液流变和聚集行为的影响
IF 2.6 4区 工程技术 Q2 MECHANICS Pub Date : 2025-04-10 DOI: 10.1007/s13367-025-00122-8
Hayoung Kwon, Sangkyun Koo

We investigated the effect of surfactant concentration on the rheological behavior of suspensions containing multi-walled carbon nanotubes (MWNTs) dispersed in N-methyl-2-pyrrolidone (NMP) mixed with nonionic surfactant, polyoxymethylene sorbitan monooleate (Tween 80). The surfactant concentration ranged from 0 to 10 wt.% relative to the MWNT particles. As the surfactant concentration increased, the shear viscosities initially decreased, reaching a minimum at 6 wt.%, and then increased. Similar trends were observed in the behavior of the yield stress and the power-law index. In oscillatory shear tests, storage modulus increased with the surfactant concentration up to 6 wt.% and then decreased. Aggregation structure was analyzed using a scaling theory, based on the suspension’s elasticity obtained from linear viscoelastic measurements. The dependence of elastic modulus on MWNT concentration at different surfactant concentrations provided fractal dimension of average aggregate. It was found that the addition of surfactant lowered the fractal dimension of average aggregates from 1.9 to 1.2–1.3. The fractal dimension at the surfactant concentration of 6 wt.% showed slightly lower values than those of 2 wt.% and 10 wt.%. which is the same trend as the rheological properties. These findings were further supported by a UV–visible-NIR spectroscopy method, which measured the light absorbance of individual MWNTs in diluted suspensions. The UV–visible-NIR spectroscopy analysis showed maximum absorbance at a surfactant concentration of 6 wt.%, indicating optimal dispersion of the MWNTs. This behavior aligned with the observed trends in shear viscosity and fractal dimension.

Graphical Abstract

研究了表面活性剂浓度对分散在n -甲基-2-吡咯烷酮(NMP)和非离子表面活性剂聚氧亚甲基山梨醇单油酸酯(Tween 80)中多壁碳纳米管(MWNTs)悬浮液流变性能的影响。表面活性剂相对于MWNT颗粒的浓度范围为0 ~ 10 wt.%。随着表面活性剂浓度的增加,剪切粘度开始下降,在6 wt.%时达到最小值,然后增加。在屈服应力和幂律指数的行为中也观察到类似的趋势。在振荡剪切试验中,当表面活性剂浓度达到6 wt.%时,存储模量先增大后减小。基于线性粘弹性测量得到的悬浮液弹性,采用标度理论分析了凝聚结构。不同表面活性剂浓度下MWNT浓度对弹性模量的依赖性提供了平均骨料的分形维数。结果表明,表面活性剂的加入使平均团聚体的分形维数由1.9降低到1.2 ~ 1.3。表面活性剂浓度为6 wt.%时,分形维数略低于2 wt.%和10 wt.%时。这和流变性能的趋势是一样的。这些发现得到了紫外-可见-近红外光谱法的进一步支持,该方法测量了稀释悬浮液中单个mwnt的吸光度。紫外-可见-近红外光谱分析表明,表面活性剂浓度为6 wt.%时吸光度最大,表明mwnt的分散效果最佳。这种行为与观察到的剪切粘度和分形维数趋势一致。图形抽象
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引用次数: 0
Transport of solute in an unsteady electroosmotic flow of Casson fluid through a micro-channel 非定常卡森流体电渗透微通道中溶质的输运
IF 2.6 4区 工程技术 Q2 MECHANICS Pub Date : 2025-03-13 DOI: 10.1007/s13367-025-00119-3
Sudip Debnath, Sachin Shaw, Ashis Kumar Roy

The study aims to analyse the importance of electroosmotic force on the solute dispersion in a microchannel where the carrier fluid is defined by non-Newtonian Casson rheology. The Electric-double layer (EDL) is considered near the channel walls. Flow unsteadiness due to the electric force leads to a highly non-linear momentum equation, which is solved using a regular perturbation method. However, Gill’s generalized dispersion technique is used to discuss the solute dispersion mechanism. The velocity profile, along with the advection, dispersion coefficients and mean concentration, is discussed with different rheological and controlled parameters. The impact of key control parameters, i.e., thickness of the EDL, yield stress, and Péclet number, on the dispersion coefficient, advection coefficient, and mean concentration is examined. A wide range of parameters is considered based on the experimental and physical database from different literatures. Although the transport coefficients are evaluated analytically, numerical tests have also been conducted, producing results that match very well. The existence of electroosmotic force (higher Debye–Hückel electro-osmotic parameter, κ) raises the advection coefficient, and this impact is more noticeable for lower κ values. The dispersion coefficient ((K_{2})) diminishes nonlinearly with increasing κ and eventually converges to a specific value with larger κ. The mean concentration variation is more pronounced at lower values of κ, showing a 50% increase as κ rises from 10 to 50, while the variation is only 7% when κ changes from 50 to 100. Understanding dispersion phenomena controlled by electroosmotic force and pulsatility is a challenging task, mainly due to its nonlinearity, and as a result, this area has not been extensively explored. This type of study may have wide applications in biomedical engineering, human blood flow analysis, and beyond. The present simulation will thus be valuable in understanding mass transfer processes.

Graphical abstract

Schematic diagram of the proposed geometry

该研究旨在分析电渗透力对微通道中溶质分散的重要性,其中载体流体由非牛顿卡森流变学定义。双电层(EDL)在通道壁附近被考虑。由电磁力引起的流动不稳定性导致了一个高度非线性的动量方程,该方程采用正则摄动法求解。然而,采用吉尔广义色散技术来讨论溶质色散机理。讨论了不同流变参数和控制参数下的速度分布、平流、弥散系数和平均浓度。考察了EDL厚度、屈服应力和psamclet数等关键控制参数对扩散系数、平流系数和平均浓度的影响。基于不同文献的实验和物理数据库,考虑了广泛的参数范围。虽然对输运系数进行了解析计算,但也进行了数值试验,得出了非常吻合的结果。电渗透力(较高的debye - hckel电渗透参数κ)的存在提高了平流系数,且这种影响在较低的κ值下更为明显。色散系数((K_{2}))随着κ的增大呈非线性减小,并随着κ的增大最终收敛到某一特定值。κ值越低,平均浓度变化越明显,为50% increase as κ rises from 10 to 50, while the variation is only 7% when κ changes from 50 to 100. Understanding dispersion phenomena controlled by electroosmotic force and pulsatility is a challenging task, mainly due to its nonlinearity, and as a result, this area has not been extensively explored. This type of study may have wide applications in biomedical engineering, human blood flow analysis, and beyond. The present simulation will thus be valuable in understanding mass transfer processes.Graphical abstractSchematic diagram of the proposed geometry
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引用次数: 0
New constitutive equation for simple yield stress fluids (SYSF) and ElastoViscoPlastic fluids (EVP) 简单屈服应力流体(SYSF)和弹粘塑性流体(EVP)的新本构方程
IF 2.6 4区 工程技术 Q2 MECHANICS Pub Date : 2025-03-12 DOI: 10.1007/s13367-025-00118-4
Mohamed Khelfallah, Ahmed Benzaoui

This article describes a new rheological model that considers the structural changes of Simple Yield Stress Fluid (SYSF). These fluids exhibit an elastic behavior below a threshold stress and non-Newtonian viscous behavior governed by a model similar to the generalized Casson model proposed by Benhadid et al. [1] above the yield stress. This model represents the complex rheological behavior of SYSFs across the whole shear rate range while taking into account the structural changes found in this type of fluid. This approach is based on the development of a generic model that will encompass most classical models as particular cases by describing the complete flow curve of viscoplastic (VP) materials with an extension to ElastoViscoPlastic fluids (EVP). Thus, the apparent viscosity determined from the proposed model describes a smooth flow curve without discontinuities, where the yield stress is clearly expressed with a maximum Newtonian viscosity (viscosity at zero shear rate (eta_{0})), which approaches a Newtonian viscosity (eta_{infty }) at high shear rates.

Graphical abstract

本文提出了一种考虑简单屈服应力流体结构变化的流变学模型。这些流体在阈值应力以下表现出弹性行为,在屈服应力以上表现出与Benhadid等人提出的广义Casson模型相似的非牛顿粘性行为。该模型反映了SYSFs在整个剪切速率范围内的复杂流变行为,同时考虑了这类流体的结构变化。该方法基于通用模型的开发,该模型通过描述粘塑性(VP)材料的完整流动曲线,扩展到ElastoViscoPlastic流体(EVP),将大多数经典模型作为特殊情况纳入其中。因此,根据所提出的模型确定的表观粘度描述了一个没有不连续的光滑流动曲线,其中屈服应力清晰地用最大牛顿粘度(零剪切速率下的粘度(eta_{0}))表示,在高剪切速率下接近牛顿粘度(eta_{infty })。图形摘要
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引用次数: 0
Analytical model calculation for viscometric flows: integration factor method 粘性流动的解析模型计算:积分因子法
IF 2.6 4区 工程技术 Q2 MECHANICS Pub Date : 2025-02-24 DOI: 10.1007/s13367-025-00117-5
Jehyeok Choi, Kwang Soo Cho

We propose a systematic method to solve viscoelastic model for viscometric flows. The method is to generalize integration factor for tensor differential equation. If the analytical solution for viscometric flow exists, then it is easier to check the validity of the constitutive equation than use of numerical solution. Our ansatz gives the analytical solutions of quasi-linear viscoelastic models, such as the upper-convected, lower-convected, and corotational Maxwell models, because they become sets of linear ordinary differential equations for viscometric flows such as simple shear and elongational flows. We expect that the integration factor method can improve the numerical algorithms for nonlinear viscoelastic models and we are in preparation of a new numerical algorithm based on the integration factor method.

Graphical abstract

提出了一种系统的黏弹性流模型求解方法。该方法是推广张量微分方程的积分因子。如果黏性流动的解析解存在,则本构方程的有效性比数值解更容易检验。我们的分析给出了准线性粘弹性模型的解析解,如上对流、下对流和同轴麦克斯韦模型,因为它们变成了一组线性常微分方程,用于粘弹性流动,如简单的剪切和拉伸流动。我们期望积分因子法可以改进非线性粘弹性模型的数值算法,并在积分因子法的基础上准备一种新的数值算法。图形抽象
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引用次数: 0
Design and fabrication of nanolayered colorless polyimide/Si3N4 optical film 纳米层无色聚酰亚胺/氮化硅光学薄膜的设计与制备
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2025-01-10 DOI: 10.1007/s13367-024-00113-1
Jae Seung Lee, Zheng Min Huang, Young Seok Song

In this study, low-reflective multilayer films (LRMFs) and high-reflective multilayer films (HRMFs) were designed and manufactured using colorless polyimide (CPI) as a low refractive index layer and Si3N4 as a high refractive index layer. A numerical simulation was conducted to design a nanolayered structure with different reflectivity characteristics at specific wavelengths. Rheological analysis was performed to determine a solution concentration needed for coating CPI at the nanoscale via the wet process. A layer of 89 nm was found to be formed stably using a 5wt% CPI solution at 5000 rpm. The results revealed that LRMFs exhibited less than 1% reflectivity at the central wavelength, while HRMFs showed more than 40% reflectivity at the central wavelength. Morphological analysis confirmed that the designed nanostructures were successfully fabricated. This research has provided a new way to fabricate optical film through the wet process.

Graphical abstract

本研究以无色聚酰亚胺(CPI)为低折射率层,氮化硅(Si3N4)为高折射率层,设计并制备了低反射多层膜(LRMFs)和高反射多层膜(hrfs)。采用数值模拟的方法设计了具有不同波长反射特性的纳米层结构。通过流变学分析,确定了通过湿法在纳米尺度上涂层CPI所需的溶液浓度。在5wt%的CPI溶液中,在5000rpm下,可以稳定地形成89nm的层。结果表明,LRMFs在中心波长的反射率小于1%,而hrrmfs在中心波长的反射率大于40%。形貌分析证实了所设计的纳米结构是成功制备的。该研究为湿法制备光学薄膜提供了一条新的途径。图形抽象
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引用次数: 0
Solute dispersion in a permeable capillary with wall exchange: Darcy flow model 具有壁交换的可渗透毛细管中溶质弥散:达西流动模型
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-12-29 DOI: 10.1007/s13367-024-00116-y
Ashis Kumar Roy, O. Anwar Bég, Sachin Shaw, Lazaro Revocatus Mashiku, Tasveer A. Bég

Complex chemical reactions and hydrodynamic dispersion feature in many aspects of hemodynamics. Motivated by examining the reactive phase change dispersion in perfusion, a mathematical study is presented for solute dispersion in incompressible laminar blood flow through a straight circular capillary with a permeable wall (enabling lateral movement across the vessel fenestrations in perfusion and associated with the presence of the endothelial layer). The boundary condition at the vessel wall is considered a reversible phase exchange process based on first-order chemical kinetics. Darcy’s law is deployed to feature the permeability nature of the capillary. A multiple-scale asymptotic analysis is developed, and a non-dimensional transverse averaged “macro-transport” equation for convective diffusion–dispersion is derived. Expressions are then presented for the advection coefficient and Taylor dispersion coefficient. Numerical evaluation of the impact of key control parameters i.e., permeability parameter, pressure parameter, retention parameter (α), Damköhler number (Da) on dispersion coefficient, advection coefficient and leading order concentration of the solute is conducted, and solutions are visualized graphically both for small and large times. The novelty of the present work is, therefore, the collective consideration of complex wall permeability and pressure difference in addition to boundary reaction and Darcian body force effects. The analysis shows that the dispersion coefficient is initially enhanced gradually with an increment in the retention parameter with its initial small value and thereafter exhibits a smooth decay. The hydrodynamic dispersion coefficient markedly decreases with higher values of the permeable parameter. A higher magnitude of dispersion coefficient is computed at the vessel inlet and then decreases towards the outlet. A boost in the leading order concentration of the solute is computed at small times but is stabilized and eventually remains invariant with time. The axial velocity is found to depend strongly on the axial position in the capillary. A displacement in concentration peaks is also observed which is attributable to advection along the axial direction, and the decreasing peaks with respect to time are due to the diffusion of the solute from the fluid phase to the vessel wall. Generally, it is also observed that retention enhances the chemical reaction effect, leading to a greater loss of solute over time. The simulations are relevant to chemo-hemodynamics and also may find applications in drug delivery (pharmacodynamics).

Graphical abstract

复杂的化学反应和流体动力学弥散在血流动力学的许多方面都具有特点。在研究灌注中反应性相变弥散的激励下,提出了一项数学研究,研究了不可压缩层流中溶质弥散通过具有渗透性壁的直圆形毛细血管(允许在灌注中穿过血管开窗的横向运动,并与内皮层的存在有关)。基于一级化学动力学,容器壁边界条件被认为是可逆的相交换过程。达西定律被用来描述毛细管的渗透性。建立了一种多尺度渐近分析方法,导出了对流扩散-色散的无量纲横向平均“宏观输运”方程。然后给出了平流系数和泰勒色散系数的表达式。对渗透率参数、压力参数、截留参数(α)、Damköhler数(Da)等关键控制参数对溶质弥散系数、平流系数和阶浓度的影响进行了数值评价,并进行了小次和大次求解。因此,本工作的新颖之处在于,除了边界反作用力和达西体力效应外,还集体考虑了复杂的壁透性和压差。分析表明,随着保持参数的增加,色散系数开始逐渐增大,初始值较小,之后呈平稳衰减。随着渗透参数的增大,水动力弥散系数明显减小。在容器入口处计算较高的弥散系数,然后在出口处减小。在很小的时间内计算溶质的一级浓度的提高,但它是稳定的,并最终随时间保持不变。发现轴向速度在很大程度上取决于毛细管的轴向位置。还观察到浓度峰的位移,这是由于沿轴向的平流,而随时间的减少峰是由于溶质从流体相扩散到血管壁。通常,还可以观察到,保留增强了化学反应效果,导致溶质随着时间的推移损失更大。模拟与化学血流动力学相关,也可以在药物传递(药效学)中找到应用。图形抽象
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引用次数: 0
Solution rheology of poly(ionic liquid)s: current understanding and open questions 聚离子液体的溶液流变学:目前的认识和有待解决的问题
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-12-14 DOI: 10.1007/s13367-024-00115-z
Atsushi Matsumoto

Poly(ionic liquid)s are ion-containing polymers possessing ionic liquid structures on their repeating units. Owing to the unique physicochemical properties of ionic liquids, many existing studies have found that the properties of poly(ionic liquid)s are distinct from those of conventional ion-containing polymers, such as poly(sodium styrene sulfonate). A lot of scientific efforts have been made to understand the relationship between the chemical structure and the material properties of poly(ionic liquid)s, and several good review papers are available in the literature. The aim of this short review is to summarize key results on the viscoelastic properties of poly(ionic liquid)s in solution. We discuss in detail the counterion condensation and the charge screening in poly(ionic liquid) solutions.

Graphical Abstract

聚(离子液体)是在重复单元上具有离子液体结构的含离子聚合物。由于离子液体具有独特的物理化学性质,许多现有的研究发现,聚离子液体的性质不同于传统的含离子聚合物,如聚苯乙烯磺酸钠。人们对聚离子液体的化学结构与材料性能之间的关系进行了大量的科学研究,并发表了一些较好的综述论文。本文综述了聚离子液体在溶液中粘弹性方面的主要研究成果。详细讨论了多离子液体溶液中的反离子缩合和电荷筛选。图形抽象
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引用次数: 0
Flow-induced demixing of polyisoprene/poly(4-tert butyl styrene) with high dynamic contrast 流动诱导高动态对比聚异戊二烯/聚(4-叔丁基苯乙烯)的脱混
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-11-25 DOI: 10.1007/s13367-024-00114-0
Zonghao Hong, Shilong Wu, Quan Chen

This study places a focus on flow-induced demixing of polyisoprene (PI) and poly(4-tert butyl styrene) (PtBS) polymer blends with high dynamic contrast. The rheological response is governed by the more immobilized PtBS chains. In contrast, the dielectric response at low frequency reflects exclusively the normal mode of PI chains having type-A dipole parallel along the chain backbone. These features enable selective detection of the component dynamics of PtBS or PI chains under either the small amplitude oscillatory shear or the nonlinear steady shear through a combination of rheological and dielectric techniques. We find the Cox–Merz rule fails significantly for the PtBS/PI blends, which is attributed to flow-induced demixing when the shear rate is higher than the relaxation rate of PtBS chains and lower than that of PI chains. The flow-induced demixing is further supported by varying the molecular parameters of PtBS, copolymerizing PtBS with polystyrene, as well as by the rheo-dielectric measurements that show a broadening of the PI relaxation mode distribution. This demixing could be partly driven by the increased conformational entropy of the PI chains after segregation from the surrounding restrictive PtBS chains.

Graphical abstract

本研究的重点是高动态对比的聚异戊二烯(PI)和聚(4-叔丁基苯乙烯)(PtBS)聚合物共混物的流动诱导脱混。流变反应是由固定化的PtBS链控制的。相反,低频时的介电响应只反映沿链主链平行的a型偶极子的PI链的正态模式。通过流变学和介电技术的结合,这些特性可以选择性地检测PtBS或PI链在小振幅振荡剪切或非线性稳态剪切下的组分动态。我们发现Cox-Merz规则在PtBS/PI共混物中明显失效,这是由于剪切速率高于PtBS链的松弛速率而低于PI链的松弛速率时流动引起的脱混。通过改变PtBS的分子参数,PtBS与聚苯乙烯的共聚,以及通过流变介电测量显示PI弛豫模式分布的拓宽,进一步支持了流动诱导的脱混。这种分离可能部分是由于PI链与周围限制性PtBS链分离后的构象熵增加所致。图形抽象
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引用次数: 0
Recent developments on multiscale simulations for rheology and complex flow of polymers 聚合物流变和复杂流动的多尺度模拟研究进展
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-10-24 DOI: 10.1007/s13367-024-00112-2
Takeshi Sato, Kenji Yoshimoto

This review summarized the multiscale simulation (MSS) methods for polymeric liquids. Since polymeric liquids have multiscale characteristics of monomeric, mesoscopic, and macroscopic flow scales, MSSs that relate different hierarchical levels are adequate to reproduce flow properties accurately. Our review includes pioneering studies to the most advanced MSS studies on rheology predictions and flow simulations of polymeric liquids. We discuss two major types of MSS methods: the bottom-up and model-embedded MSS methods. The former method mainly connects all-atom molecular dynamics models and mesoscopic models to predict rheological properties. In contrast, the latter method, where a microscopic or mesoscopic model is embedded in a macroscopic computational domain, is designed to predict macroscopic flow properties. Finally, we also discuss MSS methods using machine learning techniques.

Graphical abstract

综述了聚合物液体的多尺度模拟方法。由于聚合物液体具有单体、介观和宏观流动尺度的多尺度特征,涉及不同层次水平的mss足以准确再现流动特性。我们的回顾包括最先进的MSS研究在流变学预测和流动模拟聚合物液体的开创性研究。我们讨论了两种主要类型的MSS方法:自底向上和模型嵌入的MSS方法。前一种方法主要是将全原子分子动力学模型和介观模型结合起来预测流变性能。相比之下,后一种方法是将微观或介观模型嵌入宏观计算域中,旨在预测宏观流动特性。最后,我们还讨论了使用机器学习技术的MSS方法。图形抽象
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引用次数: 0
A review on rheological approaches as a perfect tool to monitor thermal degradation of biodegradable polymers 流变学方法是监测可生物降解聚合物热降解的理想工具
IF 2.2 4区 工程技术 Q2 MECHANICS Pub Date : 2024-10-21 DOI: 10.1007/s13367-024-00111-3
Reza Salehiyan, Sanaz Soleymani Eil Bakhtiari

This review provides an in-depth analysis of the thermal degradation of biodegradable polymers through rheological methods. Focusing on key techniques such as time sweep tests, frequency sweep tests, and nonlinear rheological analyses gained at higher shear tests, the review highlights how these approaches offer critical insights into polymer stability and degradation kinetics. It entails an understanding of how molecular weight reduction, a common degradation mechanism, significantly impacts the performance of biodegradable polymers, and how the use of appropriate fillers can enhance thermal stability by mitigating chain scission. The review also discusses the application of the Arrhenius equation in modelling thermal degradation, helping predict degradation rates and optimize processing conditions. Time sweep tests are particularly emphasized for their ability to monitor polymer stability under various environmental conditions, while frequency sweep tests provide insights into the effects of processing/thermal history on material degradation. Tests at higher shear rates, which simulate real-world processing conditions such as extrusion and injection moulding, are explored for their role in understanding how processing-induced shear forces accelerate polymer degradation. Various biodegradable polymers are considered in this review, with polylactic acid (PLA) being the dominant polymer studied across most research, providing a clear picture of its degradation behaviour and strategies for enhancing its thermal stability. Therefore, it is expected that this review will be a comprehensive guide for researchers and engineers looking to optimize the thermal stability and performance of biodegradable polymers in various industrial applications.

Graphical abstract

本文通过流变学方法对可生物降解聚合物的热降解进行了深入的分析。重点介绍了时间扫描测试、频率扫描测试和在高剪切测试中获得的非线性流变分析等关键技术,重点介绍了这些方法如何为聚合物稳定性和降解动力学提供关键见解。它需要理解分子量降低(一种常见的降解机制)如何显著影响生物可降解聚合物的性能,以及如何使用适当的填料通过减轻链断裂来提高热稳定性。综述还讨论了Arrhenius方程在热降解建模中的应用,有助于预测降解速率和优化加工条件。时间扫描测试因其在各种环境条件下监测聚合物稳定性的能力而受到特别强调,而频率扫描测试则可以深入了解加工/热历史对材料降解的影响。在更高剪切速率下的测试,模拟真实的加工条件,如挤压和注射成型,探索了它们在理解加工诱导的剪切力如何加速聚合物降解中的作用。本综述考虑了各种可生物降解聚合物,聚乳酸(PLA)是大多数研究中研究的主要聚合物,为其降解行为和提高其热稳定性的策略提供了清晰的图像。因此,这篇综述有望成为研究人员和工程师在各种工业应用中优化生物可降解聚合物的热稳定性和性能的综合指南。图形抽象
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引用次数: 0
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Korea-Australia Rheology Journal
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