numerical simulations

数值模拟
  • 文章类型: Journal Article
    开发了用于聚合物基质编织层压复合材料热成型的综合建模框架。两个数值指标,滑移路径长度和牵引力大小,已确定与基质涂抹和起皱缺陷呈正相关。材料模型已经用相框实验结果进行了校准,并通过测量物理成形零件来检查层内剪切和厚度分布的预测精度。具体来说,成形零件上大多数位置的厚度预测精度在11.6%的误差范围内。然而,在具有显著层内剪切的两个点处,预测误差增加到20%左右。最后,进行了参数研究,以确定各种工艺参数与成形零件质量之间的关系。对于梯形部分,使层压件相对于模具轴成45度取向降低了基质涂抹和起皱缺陷的可能性。尽管这种层压取向在零件厚度上产生了更大的空间变化,厚度偏差低于0度取向情况。以25mm/s和80mm/s的升温速率进行两次成形分析,以匹配设备的操作极限。据观察,较高的成形率导致更大的可能性的缺陷,如在具有较长滑移路径和较高牵引幅度的成形部分区域中增加15%和10%所证明的,分别。发现较浅的模具受益于更快的升温速率,而更深的模具需要较慢的速度来管理广泛的剪切,拉伸和弯曲。较快的成形速率导致较小的厚度增加在高层内剪切区域,表明由于熔融层压板的粘塑性效应而从层板内剪切到平面外弯曲的转变,并且可能对零件质量产生负面影响。最后,研究表明,使用飞镖的精心构思的策略可以通过减少缺陷指标的大小来提高零件质量。
    A comprehensive modeling framework for the thermoforming of polymer matrix woven laminate composite was developed. Two numerical indicators, the slip path length and traction magnitude, have been identified to be positively correlated to matrix smearing and wrinkling defects. The material model has been calibrated with picture-frame experimental results, and the prediction accuracy for intra-ply shear and thickness distribution was examined with measurements of the physically formed parts. Specifically, thickness prediction for most locations on the formed parts was accurate within an 11.6% error margin. However, at two points with significant intra-ply shear, the prediction errors increased to around 20%. Finally, a parametric study was conducted to determine the relationship between various process parameters and the quality of the formed part. For the trapezoidal part, orienting the laminate at 45 degrees to the mold axis reduces the likelihood of matrix smear and wrinkling defects. Although this laminate orientation yielded a greater spatial variation in part thickness, the thickness deviation is lower than that for the 0-degree orientation case. Two forming analyses were conducted with ramp rates of 25 mm/s and 80 mm/s to match the equipment\'s operational limits. It was observed that higher forming rates led to a greater likelihood of defects, as evidenced by a 15% and 10% increase in the formed part areas with longer slip paths and higher traction magnitudes, respectively. It was discovered that shallower molds benefit from faster ramp rates, while deeper molds require slower rates to manage extensive shearing, stretching and bending. Faster forming rates lead to smaller thickness increases at high intra-ply shear regions, indicating a shift from intra-ply shear to out-of-plane bending due to the visco-plastic effect of the molten laminate and can negatively impact part quality. Lastly, it was shown that a well-conceived strategy using darts could improve the part quality by reducing the magnitude of the defect indicators.
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  • 文章类型: Journal Article
    岩石和混凝土中的裂缝对工程结构的稳定性有很大的不利影响,关于广泛存在于岩石和混凝土结构中的X形裂隙的研究很少。基于这样的背景,对含X形裂隙的SCB试件进行了三点弯曲断裂试验。改进了SPH方法中的动量方程,模拟了三点弯曲下SCB试样的裂纹扩展。结果表明,在没有X形裂缝的样品中,裂纹仅沿垂直方向生长。X形裂隙的存在改变了SCB样品的裂纹扩展路径和最终破坏模式。裂纹扩展模拟结果与实验结果一致,验证了改进SPH方法的合理性。荷载-位移曲线主要呈现三个典型阶段:初始压实阶段,线性弹性变形阶段,失败阶段。随着偏心度的增加,峰值载荷先减小后增大。随着X形裂隙长度的增加和X形裂隙角的减小,峰值负荷降低。损伤计数在初始加载阶段保持为0,对应于初始压实阶段和线性弹性变形阶段,并在后期加载阶段急剧增加,对应于故障阶段,这与实验结果是一致的。讨论了X形裂隙对裂纹扩展路径的影响机理。不同X形裂隙形态的存在加剧了特定位置的拉应力集中。在实验中导致不同的裂纹扩展模式。研究结果可为理解含X形裂隙工程结构的破坏机理提供一定的参考,促进SPH方法在交叉裂隙裂纹扩展模拟中的应用。
    Cracks in rock and concrete have a great adverse effect on the stability of engineering structures; however, there are few studies on X-shaped fissures which widely exist in rock and concrete structures. Based on this background, three-point bending fracture tests of SCB specimens containing X-shaped fissures are carried out. The momentum equations in the SPH method are improved, and the crack propagations of SCB specimens under three-point bending are simulated. The results show that cracks grow simply along the vertical direction in the sample with no X-shaped fissures, and the existence of an X-shaped fissure changes the crack growth path and final failure modes of the SCB samples. The crack propagation simulation results are consistent with the experimental results, which verifies the rationality of the improved SPH method. The load-displacement curves mainly present three typical stages: the initial compaction stage, linear elastic deformation stage, and failure stage. The peak load decreases first then increases with an increase in eccentricity. With an increase in X-shaped fissure length and decrease in X-shaped fissure angle, the peak load decreases. The damage counts remain at 0 at the initial loading stage, corresponding to the initial compaction stage and the linear elastic deformation stage, and increase sharply at the later loading stage, corresponding to the failure stage, which is consistent with the experimental results. The influence mechanisms of X-shaped fissures on the crack propagation paths are discussed; the existence of different X-shaped fissure morphologies aggravate the tensile stress concentration at specific positions, leading to different crack propagation modes in the experiments. The research results can provide a certain reference for understanding the failure mechanisms of engineering structures containing X-shaped fissures and promote the applications of the SPH method into the simulations of cross-fissure crack propagations.
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  • 文章类型: Journal Article
    这项研究引入了分数阶模型来研究脊髓灰质炎疾病传播的动态,专注于它的意义,独特的结果,和结论。我们强调了解脊髓灰质炎传播动力学的重要性,并提出了一种使用具有指数衰减核的分数阶模型的新颖方法。经过严格的分析,包括应用CaputoFabrizio分数阶算子的存在性和稳定性评估,我们得出了疾病动态的关键见解。我们的发现揭示了不同的无病平衡点(DFE)和地方性平衡点(EE),揭示疾病的稳定性。此外,图形表示和数值模拟证明了疾病在各种参数值下的行为,加强我们对脊髓灰质炎传播动态的理解。总之,这项研究为脊髓灰质炎的传播提供了有价值的见解,并有助于更广泛地了解传染病的动态。
    This study introduces a fractional order model to investigate the dynamics of polio disease spread, focusing on its significance, unique results, and conclusions. We emphasize the importance of understanding polio transmission dynamics and propose a novel approach using a fractional order model with an exponential decay kernel. Through rigorous analysis, including existence and stability assessment applying the Caputo Fabrizio fractional operator, we derive key insights into the disease dynamics. Our findings reveal distinct disease-free equilibrium (DFE) and endemic equilibrium (EE) points, shedding light on the disease\'s stability. Furthermore, graphical representations and numerical simulations demonstrate the behavior of the disease under various parameter values, enhancing our understanding of polio transmission dynamics. In conclusion, this study offers valuable insights into the spread of polio and contributes to the broader understanding of infectious disease dynamics.
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  • 文章类型: Journal Article
    由副氢诱导极化(PHIP)提供的位点特异性信号增强可以与磁共振成像(MRI)结合使用以研究化学和生物分子过程。然而,氢核(1H)的成像受到热极化核存在引起的背景信号的阻碍。此外,快速成像序列通常基于多个射频脉冲,其中PHIP产生的信号由于J耦合哈密顿量的演化而振荡。在这篇文章中,提出了一种用于单扫描MRI的创新成像方案,该方案可有效检测超极化分量,同时抵消热贡献。此方法基于在多脉冲序列期间由于J耦合而引起的PHIP起源信号的固有振荡的猝灭,以及通过自旋动力学和k空间的量身定制的重构来抑制热信号。对特定的双旋和三旋系统进行的一系列数值模拟可支持该方法的可行性。此外,这项理论研究证明了在选定的分子中结合超极化和长寿命状态(PHIP和LLS)的潜力,这可以被视为快速成像技术发展的第一步,例如在生物分子研究领域。
    The site-specific signal enhancement provided by parahydrogen induced polarization (PHIP) may be combined with magnetic resonance imaging (MRI) to study chemical and biomolecular processes. However, imaging of hydrogen nuclei (1H) is hampered by background signals arising from the presence of thermally polarized nuclei. Additionally, fast imaging sequences are commonly based on multiple radio-frequency pulses, where the signals resulting from PHIP oscillate due to the evolution with a J-coupling Hamiltonian. In this article, an innovative imaging scheme for single-scan MRI is presented that effectively detects hyperpolarized components while simultaneously canceling out thermal contributions. This method is based on the quenching of inherent oscillations of PHIP-originated signals due to J-couplings during the multipulse sequence and the suppression of thermal signals by spin dynamics and a tailored restructuring of the k-space. A series of numerical simulations on specific two- and three-spin systems serve to support the feasibility of the approach. Furthermore, this theoretical study demonstrates the potential of combining hyperpolarization and long-lived states (PHIP and LLS) in the selected molecules, which could be seen as a preliminary step towards the development of fast imaging techniques, for example in the field of biomolecular research.
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  • 文章类型: Journal Article
    水下光学器件的实际应用,比如摄像头或传感器,经常遭受广泛的表面生物污染。目前的防污技术主要受到低效率的阻碍,兼容性差,以及环境污染问题。本文介绍了一种透明电极涂层作为水下光学的防污系统,可替代基于交流电动(ACEK)的系统。建立了强耦合模型来预测焦耳加热引起的流体流动和负介电泳(nDEP)效应,以动员生物或沉积在光学表面上的沉积物。所提出的防污系统的性能通过静电模拟进行数值评估,流体和温度场以及亚微米粒子的轨迹,然后通过实验验证并发现吻合良好。参数研究表明,电极不对称的程度是影响流型并因此影响系统整体性能的关键因素。这种基于ACEK的通用策略有望为设计高性能和无毒的平台提供帮助,以实现水下光学的节能表面防污应用。
    The practical applications of underwater optical devices, such as cameras or sensors, often suffer from widespread surface biofouling. Current antifouling techniques are primarily hindered by low efficiency, poor compatibility, as well as environmental pollution issues. This paper presents a transparent electrode coating as antifouling system of underwater optics as potential substitute for alternating current electrokinetic (ACEK)-based systems. A strong-coupling model is established to predict the Joule heating induced fluid flows and the negative dielectrophoretic (nDEP) effect for mobilizing organisms or deposited sediments on optic surfaces. The performance of the proposed antifouling system is numerically evaluated through simulations of electrostatic, fluid and temperature fields as well as trajectories of submicron particles, which is then experimentally verified and found to be in good agreement. A parametric study revealed that the degree of electrodes asymmetry is the key factor affecting the flow pattern and therefore the overall performance of the system. This ACEK-based universal strategy is expected to shed light on designing high performance and non-toxic platforms toward energy-efficient surface antifouling applications of underwater optics.
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  • 文章类型: Journal Article
    在水化过程中监测胶凝材料的微观结构变化是一项重要但具有挑战性的任务。因此,非侵入性和复杂的技术是必要的,以了解微观行为的多相胶凝材料(其中的长度尺度的成分从厘米到微米)在不同阶段的水化。由于放热的水合反应,不同的水化产物开始演变与个别的机械性能。具体而言,在集料表面和糊状基质之间出现界面过渡区(ITZ),影响混凝土材料的整体性能。在目前的研究中,1)几种波浪特征,比如波速,能量分布,使用超声波脉冲速度(UPV)确定信号相位,小波包能量(WPE)和希尔伯特变换(HT)方法,为了监测具有两个不均匀性水平的水泥基材料(水泥浆和混凝土,代表微尺度和中尺度,分别)。此外,使用有前途的边带能量比(SER)和边带峰值计数指数(SPC-I)方法在频域中研究了独特的非线性行为。2)进行了数值模拟,以了解发展中的微观结构中的波相互作用。水泥的离散微观结构显示了在水合作用的任何时刻每个阶段的微观细节(例如,形成阶段和完全成熟水平之后)。对非线性超声波传播特性的实验和数值研究表明,水化过程中多尺度胶凝材料的微观结构发展受到影响。
    Monitoring the microstructural change in cementitious materials during hydration is an essential but challenging task. Therefore, a non-invasive and sophisticated technique is warranted to understand the microscopic behaviour of the multiphase cementitious materials (where the length scale of the constituents varies from centimeters to micrometers) in different stages of hydration. Due to exothermic hydration reactions, different hydration products start to evolve with individual mechanical properties. In concrete, an interface transition zone (ITZ) appears between the aggregate surface and paste matrix, which influences the overall properties of concrete material. In the present research, 1) several wave characteristics, such as wave velocity, energy distribution, and signal phase are found out using Ultrasonic Pulse Velocity (UPV), Wavelet Packet Energy (WPE) and Hilbert Transform (HT) methods, to monitor the hydration mechanism (1d-28d) in cement-based materials with two levels of heterogeneities (cement paste and concrete, representing microscale and mesoscale, respectively). Also, the unique nonlinear behaviour is studied in the frequency domain using the promising Sideband Energy Ratio (SER) and Sideband Peak Count Index (SPC-I) methods. 2) Numerical simulations are carried out to understand the wave interaction in the developing microstructure. A discretized microstructure of cement shows microscopic details of each phase at any instant of hydration (e.g., formation stage and after complete maturity level). The experimental and numerical investigations on the characteristics of the nonlinear ultrasonic wave propagation show the impact of microstructural development of multi-scale cementitious materials during hydration.
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  • 文章类型: Journal Article
    在本文中,研究了基于压电陶瓷的剪切水平波激励。使用有限元方法对厚度剪切d15压电陶瓷换能器进行建模。相对于激发剪切的最大化和兰姆波模式的最小化,主要重点是剪切水平基本模式的方向性和兴奋性。结果表明,换能器的几何形状对方向性的影响大于对所分析执行器的兴奋性的影响。数值模拟结果进行了实验验证。实验结果表明,换能器结合显着影响激励模式的方向性和幅度。总之,当选定的执行器用于剪切激励时,最好的解决方案是以在谐振频率下实现所需方向性的方式定制换能器。
    In this paper, piezoceramic-based excitation of shear horizontal waves is investigated. A thickness-shear d15 piezoceramic transducer is modeled using the finite-element method. The major focus is on the directivity and excitability of the shear horizontal fundamental mode with respect to the maximization of excited shear and minimization of Lamb wave modes. The results show that the geometry of the transducer has more effect on the directivity than on the excitability of the analyzed actuator. Numerically simulated results are validated experimentally. The experimental results show that transducer bonding significantly affects the directivity and amplitude of the excited modes. In conclusion, when the selected actuator is used for shear excitation, the best solution is to tailor the transducer in such a way that at the resonant frequency the desired directivity is achieved.
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  • 文章类型: Journal Article
    油砂尾矿池(OSTPs)的成熟细尾矿中沥青滴的低分子量烃(石脑油)的传质速率可能会控制其生物利用度和相关的GHG生产速率。使用掺有邻二甲苯和1-甲基萘的沥青液滴进行实验,以确定来自沥青液滴的这些石脑油组分的传质速率。将结果与使用多组分数值模型的模拟进行比较,该模型考虑了液滴中和穿过油水界面的运输。结果表明,限速传质,溶解60天后的水溶液浓度不同于与初始液滴组成平衡的浓度(邻二甲苯较少,1-甲基萘较大)。模拟表明,摩尔分数在液滴中心没有变化,导致油水界面的浓度梯度。使用不同的液滴大小和沥青粘度进行的数值模拟也表明了持续石脑油溶解的潜力,从油滴中消耗80%的邻二甲苯和1-甲基萘质量所需的时间估计为毫米大小的液滴数月至数年。假设在沥青周围的水相中发生瞬时生物降解,则厘米大小的液滴需要数年到数十年。
    The rate of mass transfer of lower molecular weight hydrocarbons (naphtha) from bitumen drops in mature fine tailings of oil sand tailings ponds (OSTPs) may control their bioavailability and the associated rate of GHG production. Experiments were conducted using bitumen drops spiked with o-xylene and 1-methylnaphthalene to determine the mass transfer rate of these naphtha components from bitumen drops. The results were compared to simulations using a multi-component numerical model that accounted for transport in the drop and across the oil-water interface. The results demonstrate rate-limited mass transfer, with aqueous concentrations after 60 days of dissolution that were different than those in equilibrium with the initial drop composition (less for o-xylene and greater for 1-methylnaphthalene). The simulations suggest that mole fractions were unchanged at the center of the drop, resulting in concentration gradients out to the oil-water interface. Numerical simulations conducted using different drop sizes and bitumen viscosities also suggest the potential for persistent naphtha dissolution, where the time required to deplete 80% of the o-xylene and 1-methylnaphthalene mass from an oil drop was estimated to be on the order of months to years for mm-sized drops, and years to decades for cm-sized drops assuming instantaneous biodegradation in the aqueous phase surrounding the bitumen.
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  • 文章类型: Journal Article
    由于一些已经使用了150多年的管道的长期使用,埋地管道的泄漏事故变得越来越普遍。因此,迫切需要准确预测污染范围,以帮助制定紧急修复策略。本研究通过数值模拟和实验室实验研究了轻质非水相液体在含有气体和水的土壤中的分布。首先,利用ANSYSFLUENT建立了三维多孔介质模型,第一次,在模型中模拟了土壤环境中气体和地下水的分布。随后,柴油的三个阶段的分布,气体,研究了不同渗漏速度下的土壤水分,发现渗漏速度在分布中起着重要作用。60分钟时土壤中柴油的面积为0.112m2,0.194m2,0.217m2和0.252m2,相应的体积分别为0.028m3,0.070m3,0.086m3和0.106m3,对于1.3m/s的泄漏速度,3.4m/s,4.6m/s,和4.9米/秒。还开发了分布面积和体积的计算公式,以帮助未来在不同泄漏速度下的预防和控制策略。该研究还比较了有和没有地下水的土壤中柴油的分布面积和体积,发现由于毛细作用力,在含地下水的土壤中分布范围更大。为了验证数值模拟的准确性,进行了实验室实验来研究油的扩散,气体,和不同泄漏速度下的水。结果表明,实验和模拟之间具有良好的一致性。研究结果对防治土壤污染具有重要意义,为制定科学合理的土壤修复策略提供理论依据。
    Leakage accidents of buried pipelines have become increasingly common due to the prolonged service of some pipelines which have been in use for more than 150 years. Therefore, there is an urgent need for accurate prediction of pollution scope to aid in the development of emergency remediation strategies. This study investigated the distribution of a light non-aqueous phase liquid in soils containing gas and water through numerical simulations and laboratory experiments. Firstly, a three-dimensional porous medium model was established using ANSYS FLUENT, and for the first time, the distribution of gas and groundwater in soil environments was simulated in the model. Subsequently, the distribution of the three phases of diesel, gas, and water in soil was studied with different leakage velocities and it was found that the leakage velocity played a significant role in the distribution. The areas of diesel in soils at 60 min were 0.112 m2, 0.194 m2, 0.217 m2, and 0.252 m2, with corresponding volumes of 0.028 m3, 0.070 m3, 0.086 m3, and 0.106 m3, respectively, for leakage velocities of 1.3 m/s, 3.4 m/s, 4.6 m/s, and 4.9 m/s. Calculation formulas for distribution areas and volumes were also developed to aid in future prevention and control strategies under different leakage velocities. The study also compared the distribution areas and volumes of diesel in soils with and without groundwater, and it was found that distribution scopes were larger in soils containing groundwater due to capillary force. In order to validate the accuracy of the numerical simulation, laboratory experiments were conducted to study the diffusion of oil, gas, and water under different leakage velocities. The results showed good agreement between the experiments and the simulations. The research findings are of great significance for preventing soil pollution and provide a theoretical basis for developing scientifically sound soil remediation strategies.
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  • 文章类型: Journal Article
    近年来,将机械知识与机器学习相结合,对数字医疗产生了重大影响。在这项工作中,我们引入了一个计算管道来构建先天性心脏病儿科患者心脏电生理的认证数字副本。我们通过半自动分割和网格工具构建患者特定的几何结构。我们生成一个电生理学模拟数据集,涵盖细胞到器官水平的模型参数,并使用基于微分方程的严格数学模型。我们先前提出了分支潜在神经映射(BLNMs)作为一种准确有效的方法来概括神经网络中的复杂物理过程。这里,我们使用BLNMs对计算机模拟12导联心电图(ECG)的参数化时间动态进行编码.BLNMs作为心脏功能的几何特异性替代模型,用于快速和可靠的参数估计,以匹配儿科患者的临床ECG。通过敏感性分析和不确定性量化评估校准模型参数的可识别性和可信性。
    In recent years, blending mechanistic knowledge with machine learning has had a major impact in digital healthcare. In this work, we introduce a computational pipeline to build certified digital replicas of cardiac electrophysiology in paediatric patients with congenital heart disease. We construct the patient-specific geometry by means of semi-automatic segmentation and meshing tools. We generate a dataset of electrophysiology simulations covering cell-to-organ level model parameters and using rigorous mathematical models based on differential equations. We previously proposed Branched Latent Neural Maps (BLNMs) as an accurate and efficient means to recapitulate complex physical processes in a neural network. Here, we employ BLNMs to encode the parametrized temporal dynamics of in silico 12-lead electrocardiograms (ECGs). BLNMs act as a geometry-specific surrogate model of cardiac function for fast and robust parameter estimation to match clinical ECGs in paediatric patients. Identifiability and trustworthiness of calibrated model parameters are assessed by sensitivity analysis and uncertainty quantification.
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