Finite Element Method

有限元法
  • 文章类型: Journal Article
    最近的临床研究报道,根据射血分数(EF)的范围,可以将射血分数保留的心力衰竭(HFpEF)分为两种表型。即EF较高的HFpEF和EF较低的HFpEF。这些表型表现出不同的左心室(LV)重塑模式和动力学。然而,LV重塑对各种LV功能指数的影响以及这两种表型的潜在机理尚不清楚。为了解决这些问题,本研究采用耦合有限元分析(FEA)框架来分析各种心室重塑模式的影响,特别是同心重塑(CR),同心肥大(CH),和偏心肥大(EH),左心室功能指数上有或没有左心室壁增厚。Further,对每种图案进行适度重塑的几何形状进行纤维硬化和收缩损伤,以检查其在复制HFpEF不同特征中的作用。结果表明,重度CR,LV具有较高EF的HFpEF特征,正如在最近的临床研究中观察到的那样。受控的纤维硬化可以同时增加舒张末期压力(EDP)并降低峰值纵向应变(ell),而不会显着降低EF,促进中度CR几何形状适合这种表型。同样,纤维硬化可以帮助CH和壁增厚的EH复制具有较低EF的HFpEF。这些发现表明,这两种表型的潜在治疗应针对其独特的心室重塑模式的生物起源和心肌硬化程度。
    Recent clinical studies have reported that heart failure with preserved ejection fraction (HFpEF) can be divided into two phenotypes based on the range of ejection fraction (EF), namely HFpEF with higher EF and HFpEF with lower EF. These phenotypes exhibit distinct left ventricle (LV) remodelling patterns and dynamics. However, the influence of LV remodelling on various LV functional indices and the underlying mechanics for these two phenotypes are not well understood. To address these issues, this study employs a coupled finite element analysis (FEA) framework to analyse the impact of various ventricular remodelling patterns, specifically concentric remodelling (CR), concentric hypertrophy (CH), and eccentric hypertrophy (EH), with and without LV wall thickening on LV functional indices. Further, the geometries with a moderate level of remodelling from each pattern are subjected to fibre stiffening and contractile impairment to examine their effect in replicating the different features of HFpEF. The results show that with severe CR, LV could exhibit the characteristics of HFpEF with higher EF, as observed in recent clinical studies. Controlled fibre stiffening can simultaneously increase the end-diastolic pressure (EDP) and reduce the peak longitudinal strain (ell) without significant reduction in EF, facilitating the moderate CR geometries to fit into this phenotype. Similarly, fibre stiffening can assist the CH and \'EH with wall thickening\' cases to replicate HFpEF with lower EF. These findings suggest that potential treatment for these two phenotypes should target the bio-origins of their distinct ventricular remodelling patterns and the extent of myocardial stiffening.
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  • 文章类型: Journal Article
    空腔中的自然对流在流体力学和传热工程中经常使用,如热交换器,电子,太阳能集热器,生长晶体。然而,对带有分体式挡板的空腔中的自然对流流动和传热的物理学了解最少。这项研究的基本目的是研究位于不同位置的加热分裂挡板对正弦波纹星腔内稳态自由对流的影响。在此模型配置中,外部波浪形外壳保持在恒定温度Tc,而内部分体式挡板在恒定温度Th下加热。有限元方法用于离散化和求解描述外壳内流体流动和传热的控制方程。这种数值方法旨在分析挡板倾角的影响,挡板间距,瑞利数对流体动力学和对流热输运特征的影响。通过流线和等温线轮廓说明了速度和温度分布的变化。此外,数值结果显示在传热的Nuavg项中,分析挡板的内部空间和挡板的角度(θ=00,450,900)。关键发现表明,增加瑞利数和不同的位置(向上,中央,向下)的内部垂直分裂挡板将速度的大小提高了88.1%,分别为85.9和89.6%。此外,对于0°的内部矩形分割挡板角度,45°,90°,在104到106的瑞利数范围内,Nuavg表现出显著的变化,最大增幅为71.9%,46.7%,随后下降45.9%。
    The natural convection in cavities is frequently used in fluid mechanics and heat transfer engineering, such as heat exchangers, electronics, solar collectors, and growing crystals. However, the physics of natural convection flow and heat transfer in cavities with split baffles is least understood. The fundamental aim of this research is to investigate the impact of heated split baffles positioned at various locations on steady-state free convection within a sinusoidal corrugated star cavity. In this model configuration, the outer wavy enclosure is maintained at a constant temperature of T c , while the inner split baffles are heated at a constant temperature of T h . The finite element method is employed to discretize and solve the governing equations describing the fluid flow and heat transfer within the enclosure. This numerical approach aimed to analyze the effects of baffle inclination angles, baffle spacing, Rayleigh number on the fluid dynamics and convective thermal transport characteristics. The variation in velocity and temperature profile is illustrated through the streamlines and isotherm contours. Moreover, the numerical result is displayed in term N u a v g of the heat transfer, which are analyzed for inside space of baffles and angles of the baffle ( θ = 0 0 , 45 0 , 90 0 ) . The key finding demonstrates that increasing the Rayleigh numbers and the different positions (up, central, down) of inner vertical split baffles enhances the magnitude of the velocity by 88.1 % , 85.9 and 89.6 % respectively. Furthermore, for the inner rectangular split baffle angles of 0 ° , 45 ° , and 90 ° , and within the Rayleigh number range of 10 4 to 10 6 , the N u a v g exhibits significant variations, with maximum increases of 71.9 % , 46.7 % and a subsequent decrease of 45.9 % .
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  • 文章类型: Journal Article
    在虚拟手术训练中,实现实时至关重要,组织变形的高保真模拟。具有多分量的器官的各向异性和非线性特性使精确的实时变形模拟变得困难。本文提出了一种局部组织约束渐进迁移学习方法,其中基础补偿双输出转移学习策略和局部组织约束渐进式学习架构被开发。提出的策略丰富了多组分生物力学数据集,以最少的高质量数据充分表示复杂的力-位移。同时,所提出的体系结构采用聚焦和渐进模型来准确描述具有不同生物力学特性的组织,而不是单一的齐次模型。我们使用100对测试数据与4种最先进的(SOTA)方法进行了比较,以模拟器官的多组分生物力学变形。结果表明,在不同的验证矩阵中,我们的方法的准确性比其他方法高50%。我们的方法可以稳定地模拟每帧0.005s的变形,这大大提高了计算效率。
    In virtual surgical training, it is crucial to achieve real-time, high-fidelity simulation of the tissue deformation. The anisotropic and nonlinear characteristics of the organ with multi-component make accurate real-time deformation simulation difficult. A localized tissue constraint progressive transfer learning method is proposed in this paper, where the base-compensated dual-output transfer learning strategy and the localized tissue constraint progressive learning architecture are developed. The proposed strategy enriches the multi-component biomechanical dataset to fully represent complex force-displacement with minimal high-quality data. Meanwhile, the proposed architecture adopts focused and progressive model to accurately describe tissues with varied biomechanical properties rather than singular homogeneous model. We made comparison with 4 state-of-the-art (SOTA) methods in simulating multi-component biomechanical deformations of organs with 100 pairs of testing data. Results show that the accuracy of our method is 50% higher than other methods in different validation matrix. And our method can stably simulate the deformations in 0.005 s per frame, which largely improves the computing efficiency.
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  • 文章类型: Journal Article
    增材制造的纯钛扣环的几何精度取决于建筑物的方向。这项研究的目的是比较几何精度和疲劳寿命预测的有限元分析(FEA)在三个扣用不同的建筑方向。此外,本文提出了一种以臂为几何参数的面积惯性矩和截面积惯性矩的计算方法。用于疲劳测试的带有圆柱形夹持部件的卡环之一具有与CAD设计几乎相同的几何参数。此外,通过与基于显微CT图像的有限元分析的比较,验证了作者使用基于CAD的有限元分析的疲劳寿命预测方法。另外两个扣子的几何参数大于CAD设计,导致更长的疲劳寿命。结果暗示了计算该区域惯性矩在扣臂设计中的重要性。
    The geometrical accuracy of additively manufactured pure titanium clasps depends on the building orientation. The aim of this study is to compare the geometrical accuracy and the fatigue lives predicted by finite element analysis (FEA) among three clasps manufactured with different building orientations. Besides, this paper proposed a calculation method of the moment of inertia of area and cross-sectional area along with the arm as the geometrical parameters. One of the clasps manufactured with a cylindrical chucking part for the fatigue test had almost the same geometrical parameters with the CAD design. Also, the authors\' fatigue life prediction method using the CAD based FEA was verified through comparison with micro-CT image-based FEA. The other two clasps had larger geometrical parameters than the CAD design, resulting in longer fatigue lives. The results implied the importance of calculating the moment of inertia of the area in the design of the clasp arm.
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  • 文章类型: Journal Article
    本文研究了具有椭圆形横截面的混合FRP混凝土-钢柱的性能。调查是通过文献收集信息并进行参数研究来进行的,这导致了116个数据点。此外,开发了多种机器学习预测模型,以准确估计FRP管破裂时约束混凝土的极限应变和极限载荷。决策树(DT)随机森林(RF),自适应提升(ADAB),分类提升(CATB),和极限梯度提升(XGB)机器学习技术被用于所提出的模型。最后,对这些模型进行了直观和定量的验证和评价.得出的结论是,CATB和XGB是杰出的型号,提供高精度和强大的泛化能力。CATB模型由于其在测试过程中始终较低的错误率而略胜一筹,这表明它是该数据集的最佳模型,当同时考虑准确性和鲁棒性来防止过拟合时。
    This article investigates the behavior of hybrid FRP Concrete-Steel columns with an elliptical cross section. The investigation was carried out by gathering information through literature and conducting a parametric study, which resulted in 116 data points. Moreover, multiple machine learning predictive models were developed to accurately estimate the confined ultimate strain and the ultimate load of confined concrete at the rupture of FRP tube. Decision Tree (DT), Random Forest (RF), Adaptive Boosting (ADAB), Categorical Boosting (CATB), and eXtreme Gradient Boosting (XGB) machine learning techniques were utilized for the proposed models. Finally, these models were visually and quantitatively verified and evaluated. It was concluded that the CATB and XGB are standout models, offering high accuracy and strong generalization capabilities. The CATB model is slightly superior due to its consistently lower error rates during testing, indicating it is the best model for this dataset when considering both accuracy and robustness against overfitting.
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  • 文章类型: Journal Article
    混合对流纳米流体流动在改善热性能方面具有重要意义,和热工程来应对全球能源危机。在这项研究中,数值检查了在磁场作用下具有内部加热的三角形障碍物的多孔波状通道中的混合对流纳米流体流动。通道内的纳米流体从其底部和顶部波状表面被加热和冷却。加热的三角形圆柱体位于波状通道的中心线处。有限元方法用于求解无量纲控制方程。将当前结果与已发布的数值和实验结果进行比较,验证了该代码。还实施了响应面法来分析获得的结果及其灵敏度。数值结果表明,随着雷诺数的增加,流速强度加快,达西数和进出口长度,但哈特曼数和体积分数下降。对于较高的雷诺数值,传热速率和传热不可逆性大大增加。进出口长度,达西数与纳米粒子体积分数但磁场效应发生相反趋向。发现热性能随着Re的同时增加而显著改善,φ,Da和递减在哈。输入因子Re,φ,Da在计算Nu一v时,对Ha的敏感性为负。与Da和Ha相比,传热速率对Re和Φ的影响更敏感。使用Al2O3-H2O纳米流体(体积.5%)代替基础流体水,可提高45.59%的传热潜力。由于磁场强度的影响,传热增强率降低了36.22%。此外,在存在三角形障碍物的情况下,传热率增加了84.12%。此外,由于存在加热的三角形障碍物,不可逆性成分受到显着影响。Bejan的数量也随着物理参数的增加而下降。这项研究的结果可能为找到设计高性能对流换热器的实验结果提供指导。
    Mixed convective nanofluid flow has substantial importance in improvement of thermal performance, and thermal engineering to meet the global energy crisis. In this study, mixed convective nanofluid flow in a porous-wavy channel with an inner heated triangular obstacle under magnetic field effect is numerically examined. Nanofluid within the channel is heated and cooled from its bottom and top wavy-surfaces. A heated triangular cylinder is located at the centerline of the wavy-channel. Finite element method is utilized to solve the non-dimensional governing equations. The code is validated comparing present results with published numerical and experimental results. The response surface method is also implemented to analyze the obtained results and its sensitivity. The numerical results indicate that strength of flow velocity is accelerated with rising Reynolds number, Darcy numbers and inlet-outlet ports length but declined for Hartmann number and volume fraction. Heat transferring rate and heat transfer irreversibility are substantially increased for higher values of Reynolds number, inlet-outlet ports length, Darcy number and nanoparticle volume fraction but a reverse trend is occurred for magnetic field effect. The thermal performance is found significantly improved with simultaneous increment in Re, ϕ, Da and decrement in Ha. Positive sensitivity is achieved for input factors Re, ϕ, Da in computing N u a v while negative sensitivity to Ha. Heat transfer rate is found more sensitive to the impact of Re and ϕ compared to Da and Ha. 45.59 % more heat transmission potentiality is developed for using Al2O3-H2O nanofluid (vol.5 %) instead of using base fluid water. Heat transfer enhancement rate is decreased by 36.22 % due to impact of magnetic field strength. In addition, 84.12 % more heat transferring rate is recorded in presence of triangular obstacle. Moreover, irreversibility components are influenced significantly for the presence of heated triangular obstacle. Bejan number is also found declined for increasing physical parameters. The findings of this investigation may offer a guideline for finding experimental results to design high-performance convective heat exchangers.
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  • 文章类型: Journal Article
    在本文中,报告了混凝土三维自适应概率显式开裂模型的开发。本文提供的贡献在于一种新的自适应网格策略,旨在优化概率显式裂纹模型中界面元素的使用。所提出的自适应网格过程与文献中的其他策略明显不同,因为它考虑了对开裂后应力重新分布的可能影响,也可以应用于纯确定性开裂模型。获得最合适的自适应网格过程的过程涉及三种不同的自适应策略的开发和评估。由于与开裂后的应力重新分布有关的问题,其中两种适应性策略被证明是不合适的。验证结果表明,开发的自适应概率模型能够在类似于实验观察到的水平上预测规模效应,考虑素混凝土试件的拉伸破坏。结果还表明可以获得不同的软化水平。所提出的自适应网格策略被证明是有利的,与概率显式裂纹模型中常用的经典策略相比,能够显着减少模拟时间。
    In this paper, the development of a 3D adaptive probabilistic explicit cracking model for concrete is reported. The contribution offered herein consists in a new adaptive mesh strategy designed to optimize the use of interface elements in probabilistic explicit cracking models. The proposed adaptive mesh procedure is markedly different from other strategies found in the literature, since it takes into account possible influences on the redistribution of stresses after cracking and can also be applied to purely deterministic cracking models. The process of obtaining the most appropriate adaptive mesh procedure involved the development and evaluation of three different adaptivity strategies. Two of these adaptivity strategies were shown to be inappropriate due to issues related to stress redistribution after cracking. The validation results demonstrate that the developed adaptive probabilistic model is capable of predicting the scale effect at a level similar to that experimentally observed, considering the tensile failure of plain concrete specimens. The results also show that different softening levels can be obtained. The proposed adaptive mesh strategy proved to be advantageous, being able to promote significant reductions in the simulation time in comparison with the classical strategy commonly used in probabilistic explicit cracking models.
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  • 文章类型: Journal Article
    在这项研究中,我们提出了一种通过考虑道间温度,使用热弹塑性有限元方法(TEP-FEM)预测多道焊接引起的焊接变形的方法。这种方法提高了层间温度,这在现有的TEP-FEM中没有考虑过,从200°C到1000°C,并同时进行热和机械分析。此外,该方法还可以评估温度历史和焊接所需的时间。通过使用该方法预测焊接变形,与层间温度冷却到室温的情况相比,角畸变预测从16.75mm降低到10.9mm。此外,与先前研究中使用的有向边界法的应变相比,变形误差从6.14%显着降低到2.92%。此外,我们的研究表明,高于800°C的层间温度会导致变形误差增加。总之,选择合适的温度以最大程度地减少变形误差。
    In this study, we propose a method for predicting welding deformation caused by multi-pass welding using the thermal elastic-plastic finite element method (TEP-FEM) by considering the interpass temperature. This method increases the interpass temperature, which has not been considered in the existing TEP-FEM, from 200 °C to 1000 °C, and simultaneously performs thermal and mechanical analyses. In addition, this method can also evaluate temperature history and the time it takes to weld. By predicting the welding deformation using this method, angular distortion prediction was reduced from 16.75 mm to 10.9 mm compared to the case where the interpass temperature was cooled to room temperature. Additionally, the deformation error was significantly reduced from 6.14% to 2.92% compared to that of the strain as directed boundary method used in a previous study. Additionally, our research demonstrated that interpass temperatures above 800 °C can result in increased deformation errors. In conclusion, it is essential to select an appropriate temperature to minimize deformation error.
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  • 文章类型: Journal Article
    目的:膝关节的个性化模型,使用骨-髌骨-肌腱-骨(BPTB)技术在前交叉韧带重建(ACLR)中具有可调节的有效几何参数,已经开发了。该模型将帮助研究人员了解不同的移植物大小如何影响患者随时间的恢复。
    方法:该研究包括选择一组没有膝关节损伤的个体和一名接受过膝关节手术的患者。在不同时间点对对照组和患者进行步态分析。使用患者的医学图像创建膝关节的3D模型。将从步态分析获得的力和扭矩应用于模型以进行有限元分析。
    结果:有限元(FE)分析的结果,以及两组的动力学数据,表明直径为7.5mm和12mm的模型在ACLR后的随访期间改善了关节运动。此外,对ACL模型施加的应力进行比较后发现,直径为12mm的自体移植物在ACL重建手术后的3次随访期间显示出更有利的患者恢复趋势.
    结论:在ACLR中开发具有可调几何参数的个性化参数模型,例如移植的自体移植物直径,正如这项研究中提出的,与FE一起使用患者的动力学数据,允许检查和选择合适的自体移植物直径用于髌骨肌腱移植。这可以帮助减少自体移植物上的应力并防止ACLR后对其他膝关节组织的损伤。
    OBJECTIVE: A personalized model of the knee joint, with adjustable effective geometric parameters for the transplanted autograft diameter in Anterior Cruciate Ligament Reconstruction (ACLR) using the bone-patella-tendon-bone (BPTB) technique, has been developed. The model will assist researchers in understanding how different graft sizes impact a patient\'s recovery over time.
    METHODS: The study involved selecting a group of individuals without knee injuries and one patient who had undergone knee surgery. Gait analysis was conducted on the control group and the patient at various time points. A 3D model of the knee joint was created using medical images of the patient. Forces and torques obtained from the gait analysis were applied to the model to perform finite element analysis.
    RESULTS: The results of the finite element (FE) analysis, along with kinetic data from both groups, indicate that models with diameters of 7.5 mm and 12 mm improved joint motion during follow-up after ACLR. Additionally, a comparison of the stress applied to the ACL model revealed that a 12 mm autograft diameter showed a more favorable trend in patient recovery during the three follow-up intervals after ACL reconstruction surgery.
    CONCLUSIONS: The development of a personalized parametric model with adjustable geometric parameters in ACLR, such as the transplanted autograft diameter, as presented in this study, along with FE using the patient\'s kinetic data, allows for the examination and selection of an appropriate autograft diameter for Patella Tendon grafting. This can help reduce stress on the autograft and prevent damage to other knee joint tissues after ACLR.
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  • 文章类型: Journal Article
    本研究的目的是探索健康组织和癌组织中的温度扩散,特别关注体力活动如何影响乳腺肿瘤的减弱。先前的研究缺乏关于身体活动在肿瘤预防或减弱中的有效性的数值分析。促使从生物传热的角度研究身体活动和肿瘤预防背后的机制。该研究采用COMSOLMultiphysics®中的人体乳房和肿瘤的真实模型,利用Penne的生物热方程分析温度分布。该研究通过改变肿瘤直径(10-20毫米)和运动强度(例如步行速度和木工等其他活动来检查它们对组织温度的影响,游泳,和马拉松跑步)。结果表明,在休息和身体活动期间,癌组织比正常组织产生的热量明显更多。较小的肿瘤在运动过程中表现出更高的温度,强调肿瘤大小在治疗效果中的重要性。肿瘤温度范围在40至43.2°C之间,而健康的组织温度在身体活动期间保持在41°C以下。高强度练习,尤其是游泳,以1.8米/秒的速度行走,和马拉松,对肿瘤有治疗作用,随着强度增加有效性。健康和恶性组织的温度由于恒定的代谢热和减少的血流量而显著升高。该研究还确定了高强度运动的最佳持续时间,建议至少20分钟以获得最佳治疗结果。这项研究的结果将帮助个人,医生,和癌症研究人员了解和削弱恶性组织。
    The objective of the present research is to explore the temperature diffusion in healthy and cancerous tissues, with a specific focus on how physical activity impacts on the weakening of breast tumors. Previous research lacked numerical analysis regarding the effectiveness of physical activity in tumor prevention or attenuation, prompting an investigation into the mechanism behind physical activity and tumor prevention from a bio-heat transfer perspective. The study employs a realistic model of human breasts and tumors in COMSOL Multiphysics® to analyze temperature distribution by utilizing Penne\'s bio-heat equation. The research examines their influence on tissue temperature by varying tumor diameter (10-20 mm) and exercise intensities (such as walking speeds and other activities like carpentry, swimming, and marathon running). Results demonstrate that cancerous tissues generate notably more heat than normal tissues at rest and during physical activity. Smaller tumors exhibit higher temperatures during exercise, emphasizing the significance of tumor size in treatment effectiveness. Tumor temperatures range between 40 and 43.2 °C, while healthy tissue temperatures remain below 41 °C during physical activity. High-intensity exercises, particularly swimming, walking at 1.8 m/s, and marathon running, display a therapeutic effect on tumors, increasing effectiveness with intensity. The temperatures of healthy and malignant tissues rise noticeably due to constant metabolic heat and decreased blood flow. The study also identifies the optimal duration of high-intensity exercise, recommending at least 20 min for optimal therapeutic outcomes. The outcomes of this research would help individuals, doctors, and cancer researchers understand and weaken malignant tissues.
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