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A mean-field phase separation model enabling the coupling of non-isothermal flow phenomena with fibre formation in high-moisture extrusion of meat analogues 一个平均场相分离模型,使非等温流动现象与高水分挤压肉类类似物纤维形成的耦合
IF 5.8 2区 农林科学 Q1 ENGINEERING, CHEMICAL Pub Date : 2026-01-07 DOI: 10.1016/j.jfoodeng.2026.112972
Erik Kaunisto , Camilla Öhgren , Niklas Lorén , Mats Stading
In this study, a coupled model integrating flow, temperature, phase separation, fibre alignment, and wall-slip has been developed to elucidate the complex behaviour observed during high moisture extrusion (HME) fibre formation. By departing from previous high-resolution approaches, the model uses a mean-field simplification to conveniently address wall-slip, thus avoiding the numerical intractability associated with resolving microscopic phases through solving the full Cahn-Hilliard equations. The critical simulation parameters are justified through prior studies and microscopy data and may to a certain extent be quantifiable from dead-stop experiments. The model can capture key qualitative features of HME, including the spatial distribution of fibres in the cooling die and their orientation, as observed in microscopy. Moreover, the model explains a potential delicate interplay between die cooling, phase separation/syneresis and protein melt flow characteristics. The study identifies extensional and pre-cooling die orientation of fibres as promising avenues for future model refinement.
在这项研究中,建立了一个集成了流动、温度、相分离、纤维排列和壁滑移的耦合模型,以阐明在高水分挤压(HME)纤维形成过程中观察到的复杂行为。与以前的高分辨率方法不同,该模型使用平均场简化来方便地处理壁面滑移,从而避免了通过求解完整的Cahn-Hilliard方程来解决微观相的数值困难。关键的模拟参数是通过先前的研究和显微镜数据来证明的,并且可以在一定程度上通过死点实验来量化。该模型可以捕捉到HME的关键定性特征,包括在显微镜下观察到的冷却模具中纤维的空间分布及其方向。此外,该模型还解释了模具冷却、相分离/协同作用和蛋白质熔体流动特性之间潜在的微妙相互作用。该研究确定了拉伸和预冷模具方向的纤维是未来模型改进的有希望的途径。
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引用次数: 0
Phosphatidylserine synthesis via bilayer PLD in pickering emulsion 磷脂酰丝氨酸在酸洗乳剂中的双层PLD合成
IF 5.8 2区 农林科学 Q1 ENGINEERING, CHEMICAL Pub Date : 2026-01-06 DOI: 10.1016/j.jfoodeng.2026.112964
Changhao Liu , Zhicen Liu , Yunfan Tong, Ming Chen, Yue Zhang
Phosphatidylserine (PS) is a vital phospholipid with broad applications in food, cosmetic, and pharmaceutical industries. To overcome the limitations of free phospholipase D (PLD), such as high cost, poor stability, and non-reusability, we developed a novel bilayer immobilization strategy using amino-functionalized magnetic nanoparticles. Magnetic Fe3O4 nanoparticles were sequentially modified with tannic acid (TA) and 3-aminopropyltriethoxysilane (APTES), and genipin (Gnp) was employed as a biocompatible crosslinker to immobilize PLD via combined adsorption and covalent binding. Structural and functional characterization via SEM, FTIR, XRD, and TGA confirmed successful carrier modification and stable enzyme attachment. The optimized immobilized enzyme (Fe3O4@TA-APTES-Gnp-PLD) exhibited significantly enhanced catalytic performance. Under optimized reaction conditions, it achieved a PS conversion rate 11.27-fold higher than that of free PLD in a Pickering emulsion system, and 7.7-fold higher in a conventional two-phase system. The immobilized PLD also demonstrated excellent operational stability, retaining over 77 % of its initial activity after six consecutive reaction cycles, and 73 % after 12 days of storage at 4 °C. This work presents a sustainable, efficient, and reusable biocatalytic platform for PS synthesis, with strong potential for industrial-scale phospholipid production.
磷脂酰丝氨酸(PS)是一种重要的磷脂,在食品、化妆品和制药工业中有着广泛的应用。为了克服游离磷脂酶D (PLD)成本高、稳定性差和不可重复使用的局限性,我们开发了一种新的氨基功能化磁性纳米颗粒双层固定策略。采用单宁酸(TA)和3-氨基丙基三乙基氧基硅烷(APTES)对磁性Fe3O4纳米粒子进行修饰,并以格尼平(Gnp)作为生物相容性交联剂,通过吸附和共价结合的方式固定化PLD。通过SEM、FTIR、XRD和TGA对其进行结构和功能表征,证实载体修饰成功,酶附着稳定。优化后的固定化酶(Fe3O4@TA-APTES-Gnp-PLD)的催化性能显著提高。在优化后的反应条件下,其PS转化率比游离PLD在Pickering乳液体系中的转化率高11.27倍,比常规两相体系的PS转化率高7.7倍。固定化PLD还表现出优异的操作稳定性,在连续6个反应周期后,其初始活性保持在77%以上,在4°C下储存12天后,其活性保持在73%以上。本研究为PS合成提供了一个可持续、高效、可重复使用的生物催化平台,具有工业规模磷脂生产的强大潜力。
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引用次数: 0
Effect of 12-HSA concentration on the physicochemical properties, stability, and curcumin bioavailability of ultrasound-assisted enzymatically glycosylated casein-stabilized oleogel-structured emulsions 12-HSA浓度对超声辅助酶糖基化酪蛋白稳定油凝胶结构乳剂的理化性质、稳定性和姜黄素生物利用度的影响
IF 5.8 2区 农林科学 Q1 ENGINEERING, CHEMICAL Pub Date : 2026-01-06 DOI: 10.1016/j.jfoodeng.2026.112971
Yan Li , Wanlinhao Wei , Yingying Sui , Olayemi Eyituoyo Dudu , Wentao Liu , Mingrui Zhang , Jinju Cheng , Yujun Jiang
To investigate the effects of glycosylated covalent complexes and 12-hydroxystearic acid (12-HSA) on the properties of oleogel-structured high internal phase emulsions (OGHEs), this study prepared OGHEs with varying 12-HSA concentrations (0 %, 1 %, 3 %, 5 %, and 7 %) using 1.5 % sodium caseinate (SC) or conjugates of SC and carboxymethyl chitosan (SC-CMCS) as emulsifiers. A systematic evaluation was conducted on their droplet size, zeta potential, interfacial adsorbed protein content, rheological properties, stability, curcumin encapsulation efficiency, and in vitro digestion performance. Results showed that SC-CMCS-stabilized OGHEs exhibited significantly superior apparent viscosity and elastic modulus (with G′ consistently greater than G'') compared to SC-stabilized OGHEs. The elastic modulus (G′) reached its maximum at 7 % 12-HSA, accompanied by a smaller initial droplet size (8.02 ± 0.17 μm) and more uniform distribution. Confocal laser scanning microscopy (CLSM) revealed a dual-stabilization structure consisting of oil droplets and a fibrous network, while differential scanning calorimetry (DSC) confirmed enhanced thermodynamic stability. Meanwhile, SC-CMCS-stabilized OGHEs with high 12-HSA concentrations demonstrated markedly improved thermal stability, freeze-thaw stability, and lipid oxidation stability. After 28 d of storage, their particle size increased only to 11.88 ± 0.79 μm, and the curcumin encapsulation efficiency significantly rose to 95.85 ± 0.31 %, with a retention rate of 96.32 ± 0.38 % after 12 d of storage. These results indicate that the synergistic interaction between SC-CMCS and 12-HSA comprehensively enhances the functionality of OGHEs, providing theoretical support for the development of carriers for active ingredients in functional foods.
为了研究糖基化共价配合物和12-羟基硬脂酸(12-HSA)对油凝胶结构高内相乳状液(OGHEs)性能的影响,本研究以1.5%酪蛋白酸钠(SC)或SC与羧甲基壳聚糖(SC- cmcs)的偶联物为乳化剂,制备了不同浓度(0%、1%、3%、5%和7%)的OGHEs。对其液滴大小、zeta电位、界面吸附蛋白含量、流变性能、稳定性、姜黄素包封效率和体外消化性能进行了系统评价。结果表明,与sc - cmcs稳定的OGHEs相比,sc - cmcs稳定的OGHEs具有显著的表观粘度和弹性模量(G′始终大于G′)。弹性模量(G′)在7% 12-HSA时达到最大值,初始液滴尺寸较小(8.02±0.17 μm),分布更加均匀。共聚焦激光扫描显微镜(CLSM)显示了油滴和纤维网络组成的双稳定结构,差示扫描量热法(DSC)证实了热稳定性增强。同时,高12-HSA浓度的sc - cmcs稳定的OGHEs表现出明显的热稳定性、冻融稳定性和脂质氧化稳定性。贮藏28 d后,其粒径仅增大到11.88±0.79 μm,姜黄素包封率显著提高到95.85±0.31%,贮藏12 d后的保留率为96.32±0.38%。上述结果表明,SC-CMCS与12-HSA之间的协同作用全面增强了OGHEs的功能,为功能食品中活性成分载体的开发提供了理论支持。
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引用次数: 0
Development of a high-accuracy multilayer perceptron-based soft sensor for real-time monitoring of supersaturation and dry substance content in vacuum pan crystallization 基于多层感知器的高精度软传感器的研制,用于实时监测真空盘式结晶过程中的过饱和和干物质含量
IF 5.8 2区 农林科学 Q1 ENGINEERING, CHEMICAL Pub Date : 2026-01-06 DOI: 10.1016/j.jfoodeng.2026.112966
S.M. Petrov , D.V. Arapov , V.A. Kuritsyn , N.M. Podgornova
Sucrose crystallization is a key stage in sugar production, where control of the supersaturation coefficient (SS) and dry substance content (DS) is critical for product quality and energy efficiency. Direct online monitoring of these parameters remains challenging. This paper proposes a soft sensor based on a five-layer multilayer perceptron (MLP) for simultaneous prediction of SS and DS. The model utilizes three easily measurable input parameters: boiling point temperature of pure water, boiling point elevation (BPE), and the estimated purity of the intercrystalline solution. Training was performed using the RMSProp algorithm on an extensive dataset of experimental data. The developed model demonstrated superior accuracy, with a mean relative error of 1.0 % for SS and 0.49 % for DS, which is 2.1–7.0 times more accurate than state-of-the-art alternatives. An architecture for an automatic control system integrating the developed soft sensor for real-time closed-loop control is presented. Our results show that the proposed approach is a highly effective solution for automating and optimizing the massecuite boiling process.
蔗糖结晶是糖生产的关键阶段,其中过饱和系数(SS)和干物质含量(DS)的控制对产品质量和能源效率至关重要。直接在线监测这些参数仍然具有挑战性。本文提出了一种基于五层多层感知器(MLP)的软传感器,用于同时预测SS和DS。该模型利用三个易于测量的输入参数:纯水的沸点温度,沸点海拔(BPE),以及晶间溶液的估计纯度。使用RMSProp算法在广泛的实验数据集上进行训练。所开发的模型显示出优越的精度,SS的平均相对误差为1.0%,DS的平均相对误差为0.49%,比最先进的替代方法精确2.1-7.0倍。提出了一种集成所研制的软传感器的实时闭环自动控制系统结构。研究结果表明,该方法是实现马塞塞酱沸腾过程自动化和优化的有效方法。
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引用次数: 0
Surplus bread fermentation by Pleurotus ostreatus monitored by magnetic resonance imaging 利用磁共振成像技术监测平菇发酵剩余面包
IF 5.8 2区 农林科学 Q1 ENGINEERING, CHEMICAL Pub Date : 2026-01-05 DOI: 10.1016/j.jfoodeng.2026.112967
Maja Musse , Isabelle Gimbert , Yves Diascorn , Stéphane Quellec , Sylvain Challois , Craig B Faulds , Tiphaine Lucas
This study addresses circular approaches to reuse food surpluses and losses, focusing on starchy products like bread that are fermented by fungi to produce a nutrient-rich biomass. Traditional methods have evaluated fungal growth at a macro scale, but improving the processing of heterogeneous substrates, such as highly porous ones, requires detailed insight into local fungal activity and growth. Magnetic Resonance Imaging (MRI) offers a unique advantage by simultaneously capturing morphological details and water distribution. The present work aimed to assess MRI as a non-destructive, non-invasive tool for monitoring spatial and temporal changes in biomass during solid-state fermentation (SSF) of bread slices with Pleurotus ostreatus. MRI protocols were developed to measure morphological changes and map transverse NMR relaxation times. MRI data were validated against conventional measurements of water content and dry matter, with further evaluation through fibre and protein analyses to determine added nutritional value.
Bread was shown to be a suitable substrate for cultivating fungi, producing a nutritionally-valuable biomass rich in soluble fibre and changes in some amino acid composition. T2 relaxation was an effective focus to monitor mycelial growth through association to mycelial hydrolysis and water content distribution. T2 mapping revealed significant heterogeneities in the bread, which persisted long under experimental conditions employed (approximatively one month). While the observed changes were at the macroscopic level, future microscale investigations using multi-exponential T2 could help isolate fungal signals and enable quantitative biomass assessment.
这项研究解决了循环利用食物剩余和损失的方法,重点关注面包等淀粉类产品,这些产品由真菌发酵以产生营养丰富的生物质。传统的方法已经在宏观尺度上评估了真菌的生长,但是改进对异质基质(如高多孔基质)的处理,需要详细了解当地真菌的活性和生长。磁共振成像(MRI)提供了一个独特的优势,同时捕捉形态细节和水的分布。本研究旨在评估MRI作为一种非破坏性、非侵入性的工具,用于监测面包片与平菇固态发酵(SSF)过程中生物量的时空变化。MRI方案被开发用来测量形态学变化和绘制横向核磁共振弛豫时间。MRI数据与传统的含水量和干物质测量相对照,通过纤维和蛋白质分析进一步评估,以确定增加的营养价值。面包被证明是培养真菌的合适基质,可以产生富含可溶性纤维和改变某些氨基酸组成的有营养价值的生物质。T2弛豫是通过与菌丝水解和含水量分布的关联来监测菌丝生长的有效焦点。T2图谱揭示了面包的显著异质性,这种异质性在实验条件下持续了很长时间(大约一个月)。虽然观察到的变化是宏观水平的,但未来使用多指数T2的微观研究可以帮助分离真菌信号并进行定量生物量评估。
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引用次数: 0
Vacuum contact drying of dairy gel granules supported by in-line monitoring of the moisture content 真空接触干燥乳凝胶颗粒支持在线监测水分含量
IF 5.8 2区 农林科学 Q1 ENGINEERING, CHEMICAL Pub Date : 2026-01-05 DOI: 10.1016/j.jfoodeng.2025.112961
Jennifer Frank , Laura Maria Sieben , Nora Alina Topp , Jörg Hinrichs , Reinhard Kohlus
By producing a storable intermediate during cheese processing by drying new flexibility is gained. Thereby, cheese can be produced detached from the production of intermediate granules and whey. The dairy gel granules tend to agglomerate without agitation and oil-out or plasticise at high temperatures making them a highly challenging product for drying. Contact drying in a modified Lödige ploughshare mixer was performed due to the possibility to apply sufficient agitation and to operate under vacuum. A design of experiments with varying granule types and jacket temperatures was performed and different responses analysed regarding drying efficiency. A higher drying temperature resulted in higher drying rates and consequently lower final moisture contents and aW values. For more insight into the drying process, two different in-line measurement techniques were installed and calibrated for monitoring of the moisture content. While the capacitive moisture measurement could not be calibrated, the near-infrared spectroscopy was successfully calibrated with a data selection via partial least squares regression with 2nd derivative pre-processing and seven factors as a first step to a smart and dynamic drying process, where the drying parameters can be adapted to the current product properties of the granules.
在奶酪加工过程中,通过干燥产生可储存的中间体,获得了新的灵活性。因此,奶酪的生产可以脱离生产中间颗粒和乳清。乳凝胶颗粒在没有搅拌和出油或在高温下塑化的情况下倾向于凝聚,使它们成为干燥的极具挑战性的产品。由于可以充分搅拌和在真空下操作,在改进的Lödige犁头混合器中进行了接触干燥。进行了不同颗粒类型和夹套温度的试验设计,并分析了不同反应对干燥效率的影响。较高的干燥温度导致较高的干燥速率,从而降低最终水分含量和aW值。为了更深入地了解干燥过程,安装并校准了两种不同的在线测量技术,用于监测水分含量。虽然电容式水分测量无法校准,但近红外光谱通过偏最小二乘回归与二阶导数预处理和七个因素的数据选择成功校准,作为智能和动态干燥过程的第一步,其中干燥参数可以适应颗粒的当前产品特性。
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引用次数: 0
Dual-responsive structural color smart labels for humidity monitoring 双响应结构彩色智能标签湿度监测
IF 5.8 2区 农林科学 Q1 ENGINEERING, CHEMICAL Pub Date : 2026-01-05 DOI: 10.1016/j.jfoodeng.2026.112968
Tianyi Song , Liting Huang , Shaofeng Yuan , Hang Yu , Kunfeng Liu , Yahui Guo , Yuliang Cheng , Weirong Yao
Humidity fluctuations during food storage and transport cause quality deterioration, yet safe, autonomously visualized monitoring remains challenging. Inspired by dynamic structural color in hummingbird feathers and humidity-responsive actuation in pine cones, this study designed a dual-response bionic label. The label integrates a hydrophilic carboxymethyl cellulose-polyvinyl alcohol-glycerol-glutaraldehyde (CPGA) layer with a hydrophobic Polydimethylsiloxane-Polystyrene (PDMS-PS) photonic elastomer to create asymmetric hygroscopicity. Through optimization of the hydrophilic composition, layer thickness ratio and equilibrium conditions, the label achieves humidity-driven bending accompanied by structural color variation. The deformation alters the effective incident light angle, shifting the reflected structural color from red to blue. This behavior provides cross-validated visual feedback: persistent red/smaller angle indicates dry conditions, while blue-shifted hues/larger angle signal moisture excess. The label maintains performance over multiple cycles, and overcomes existing sensor limitations via power-free operation, intuitive dual-signal output, and non-chemical sensing, offering a novel solution for autonomous humidity visualization in food storage.
食品储存和运输过程中的湿度波动会导致质量恶化,但安全、自主的可视化监测仍然具有挑战性。受蜂鸟羽毛的动态结构色彩和松果的湿度响应驱动的启发,本研究设计了一种双响应仿生标签。该标签集成了亲水性羧甲基纤维素-聚乙烯醇-甘油-戊二醛(CPGA)层和疏水性聚二甲基硅氧烷-聚苯乙烯(PDMS-PS)光子弹性体,以产生不对称吸湿性。通过对亲水性成分、层厚比和平衡条件的优化,使标签实现了伴随结构颜色变化的湿驱动弯曲。这种变形改变了有效入射光角度,使反射的结构颜色从红色变为蓝色。这种行为提供了交叉验证的视觉反馈:持续的红色/较小的角度表明干燥的条件,而蓝移色调/较大的角度表明水分过剩。该标签在多个周期内保持性能,并通过无电操作、直观的双信号输出和非化学传感克服现有传感器的限制,为食品储存中的自主湿度可视化提供了一种新颖的解决方案。
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引用次数: 0
Valorisation of green lentil waste flour into protein concentrates by ultrafiltration for plant-based food applications 用超滤法将绿扁豆废面粉加工成浓缩蛋白,用于植物性食品应用
IF 5.8 2区 农林科学 Q1 ENGINEERING, CHEMICAL Pub Date : 2026-01-03 DOI: 10.1016/j.jfoodeng.2026.112965
Federica Cirrincione , Tomasz Pawel Czaja , Giovanni Barone , Lilia Ahrné , Annalisa Romano
The increasing demand for sustainable protein sources and the urgent need to reduce food waste have driven interest in valorising legume side streams. This study aimed to develop a high-protein concentrate from green lentil waste flour (LWF) using ultrafiltration (UF). Proteins were recovered via alkaline extraction, centrifugation, followed by UF, whose performance was assessed in cross-flow mode using a 100 kDa molecular weight cut-off. The resulting protein-rich retentate, at a Volume Concentration Ratio (VCR) of 6.00, was evaluated for its composition, physicochemical characteristics, protein profile, and functional properties as a gelling ingredient. A retentate containing ∼16 % protein (∼80 % of total solids), enriched in globulins and albumins, as confirmed by SDS-PAGE and FTIR, was produced by UF. Colour and ζ-potential analyses confirmed the concentration and retention of proteins and colloidal stability. The retentate exhibited viscoelastic gel-like properties with a gelling point at 72.5 °C, a mild overshoot in G″ beyond the linear viscoelastic region, high water-holding capacity (96.5 %), and a hardness of ∼145 g, indicating potential for use as a structuring agent. These findings demonstrate the technical feasibility of ultrafiltration in recovering functional proteins from lentil side streams, thereby contributing to circular economy goals and plant-based food innovation.
对可持续蛋白质来源的需求不断增加,以及减少食物浪费的迫切需要,促使人们对豆类副产品的价值产生了兴趣。以绿扁豆废面粉为原料,采用超滤技术制备高蛋白浓缩物。蛋白质通过碱性提取,离心,然后UF,其性能在交叉流模式下评估使用100 kDa分子量截止。在体积浓度比(VCR)为6.00时,对所得的富含蛋白质的保留物的组成、理化特性、蛋白质谱和作为胶凝成分的功能特性进行了评估。经SDS-PAGE和FTIR证实,UF生产的保留物含有~ 16%的蛋白质(占总固体的~ 80%),富含球蛋白和白蛋白。颜色和ζ电位分析证实了蛋白质的浓度和保留以及胶体的稳定性。保留物表现出粘弹性凝胶样性质,胶凝点为72.5°C, G在线性粘弹性区域之外的轻微超调″,高保水能力(96.5%),硬度为~ 145 G,表明用作结构剂的潜力。这些发现证明了超滤从扁豆侧流中回收功能蛋白的技术可行性,从而为循环经济目标和植物性食品创新做出贡献。
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引用次数: 0
Fragmentation of milk fat globules in a High-Pressure Homogenizer 高压均质机中牛奶脂肪球的破碎
IF 5.8 2区 农林科学 Q1 ENGINEERING, CHEMICAL Pub Date : 2026-01-03 DOI: 10.1016/j.jfoodeng.2026.112963
Olivier Masbernat , Christelle Lopez , Frédéric Risso , Benjamin Lalanne , Léo Garcia , Kevin Roger , Mikaël Berton
Although high-pressure homogenization (HPH) is widely used in the dairy industry, predicting the size distribution of homogenized milk fat globules remains a significant challenge. In this study, the outlet size distribution of milk fat globules was measured using static light scattering over a broad range of operating pressures, from 3 to 100 MPa. Across this range, the outlet distribution was accurately described as a simple function of the inlet distribution, where each globule gives rise to three classes of fragments defined by five parameters. These parameters show strong interdependency and can be expressed as algebraic functions of the operating pressure, indicating a deterministic breakup mechanism in the HPH. The results support the fragmentation model proposed by Masbernat et al. (2022) and provide a foundation for practical prediction of size distributions in emulsions with high internal viscosity.
虽然高压均质(HPH)广泛应用于乳制品行业,但预测均质乳脂肪球的大小分布仍然是一个重大挑战。在本研究中,使用静态光散射技术在3 - 100 MPa的工作压力范围内测量了乳脂球的出口尺寸分布。在这个范围内,出口分布被准确地描述为入口分布的简单函数,其中每个球产生由五个参数定义的三类碎片。这些参数表现出很强的相互依赖性,可以表示为操作压力的代数函数,表明HPH中存在确定性的破裂机制。研究结果支持Masbernat et al.(2022)提出的破碎模型,为高内粘度乳剂粒径分布的实际预测奠定了基础。
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引用次数: 0
Numerical investigation of fractional finite viscoelastic model for soft solid food 软质固体食品分数阶有限粘弹性模型的数值研究
IF 5.8 2区 农林科学 Q1 ENGINEERING, CHEMICAL Pub Date : 2026-01-02 DOI: 10.1016/j.jfoodeng.2025.112962
Ahmad Tarmezee Talib , Dzieda Muhamad Parid , Mohd Afandi P. Mohammed , Minato Wakisaka
This work examines the viscoelastic behaviour of soft solid foods, focusing on two modelling approaches: traditional Prony series and fractional viscoelastic models. While the Prony series efficiently captures material behaviour, its complexity often requires numerous parameters. In contrast, the fractional viscoelastic model offers a more compact representation with fewer parameters. Experimental tensile tests on chewing gum were conducted to benchmark the models' performance. Results revealed that the fractional model captures the tensile-relaxation data with fewer parameters than the Prony series. Simulations of extrusion and sheeting processes, and tensile micromechanics highlighted the fractional model's stability in capturing complex mechanical responses involving large strains and microstructural heterogeneity.
这项工作考察了软固体食物的粘弹性行为,重点是两种建模方法:传统的proony系列和分数粘弹性模型。虽然proony系列有效地捕获了材料的行为,但其复杂性通常需要许多参数。相比之下,分数黏弹性模型提供了更紧凑的表示和更少的参数。对口香糖进行了拉伸实验,对模型的性能进行了测试。结果表明,分数阶模型比proony序列能以更少的参数捕获拉伸松弛数据。挤压和薄板过程的模拟以及拉伸微观力学强调了分数模型在捕获涉及大应变和微观结构非均质性的复杂力学响应方面的稳定性。
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引用次数: 0
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Journal of Food Engineering
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