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Analysis of the practical applicability of the generalized wave impedance hypothesis in split Hopkinson pressure bar tests 广义波阻抗假说在霍普金森压杆劈裂试验中的实用性分析
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-02-24 DOI: 10.1007/s10409-024-24388-x
Yiding Wu  (, ), Wencheng Lu  (, ), Xuan Zhou  (, ), Minghui Ma  (, ), Yilei Yu  (, ), Lizhi Xu  (, ), Guangfa Gao  (, )

This paper explores the applicability of the generalized wave impedance hypothesis in split Hopkinson pressure bar (SHPB) experiments, particularly under non-ideal conditions. The study investigates the effects of changes in wave impedance ratio and cross-sectional area ratio on the dynamic response of materials at high strain rates. Through theoretical analysis and numerical simulation, the impact of different wave impedance and cross-sectional area ratios on stress wave propagation characteristics is discussed in detail. It is found that when the cross-sections of two bars differ, shear strain occurs at the abrupt cross-section, leading to waveform distortion in the transmitted and reflected waves. The force balance condition does not always align with the momentum conservation theorem, and only when the three waveforms and wavelengths are completely consistent do they align. The research shows that when the wave impedance ratio and cross-sectional area ratio are within a specific range, the generalized wave impedance hypothesis can accurately predict changes in Young’s modulus and density. Additionally, the study extends the exploration to key factors such as wave impedance ratio, wave speed, Young’s modulus, density, and area ratio.

本文探讨了广义波阻抗假说在劈裂霍普金森压杆(SHPB)实验中的适用性,特别是在非理想条件下。研究了波阻抗比和截面积比的变化对材料在高应变率下动态响应的影响。通过理论分析和数值模拟,详细讨论了不同波阻抗和截面积比对应力波传播特性的影响。研究发现,当两杆截面不同时,在突变截面处产生剪切应变,导致透射波和反射波波形畸变。力平衡条件并不总是与动量守恒定理一致,只有当三种波形和波长完全一致时,它们才会一致。研究表明,当波阻抗比和截面积比在一定范围内时,广义波阻抗假设可以准确预测杨氏模量和密度的变化。此外,研究还扩展了对波阻抗比、波速、杨氏模量、密度、面积比等关键因素的探索。
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引用次数: 0
Amplification of ground vibration on a non-symmetric triangular hill under SH waves SH波作用下非对称三角形山丘地面振动的放大
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-02-21 DOI: 10.1007/s10409-024-24733-x
Zailin Yang  (, ), Xiaopeng Wei  (, ), Yunqiu Song  (, ), Minghe Li  (, ), Yong Yang  (, )

Surface irregularities, such as hills and ridges, can significantly amplify ground motion caused by earthquakes. Therefore, in this study, we propose an analytical solution model to investigate the interaction between an asymmetric triangular hill on Earth and SH waves. Firstly, based on the development of wave functions and regional matching techniques, we introduce a semi-circular artificial auxiliary boundary, dividing the solution model into a semi-infinite body containing a semi-circular depression and an asymmetric fan-shaped region. Secondly, we derive the domain function form applicable to solving asymmetric problems. Utilizing the theory of complex variables, we establish a well-posed matrix for solving domain functions within the same coordinate system. Numerical results demonstrate that the scattering of SH waves by a protuberance is jointly influenced by the geometric parameters of the hill and the angle of incidence. Additionally, the frequency of the incident wave also has a certain degree of impact on the displacement amplitude. This study elucidates the scattering mechanism of SH waves by complex boundaries, providing a theoretical reference for building site selection and seismic design. In practical problems, the asymmetric assumption is more applicable than the symmetry assumption.

地表的不规则性,如丘陵和山脊,可以显著地放大地震引起的地面运动。因此,在本研究中,我们提出了一个解析解模型来研究地球上不对称三角形山丘与SH波的相互作用。首先,基于波函数和区域匹配技术的发展,引入半圆形人工辅助边界,将解模型划分为包含半圆形凹陷和非对称扇形区域的半无限体;其次,导出了适用于求解非对称问题的定义域函数形式。利用复变理论,建立了求解同一坐标系内定义域函数的适定矩阵。数值计算结果表明,隆起对SH波的散射受山体几何参数和入射角的共同影响。此外,入射波的频率对位移幅值也有一定程度的影响。本研究阐明了SH波在复杂边界下的散射机理,为建筑选址和抗震设计提供理论参考。在实际问题中,不对称假设比对称假设更适用。
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引用次数: 0
Sound field prediction and management in irregular enclosures subjected to piping system excitation 受管道系统激励的不规则外壳声场预测与管理
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-02-19 DOI: 10.1007/s10409-024-24559-x
Xiangliang Wang  (, ), Dongwei Wang  (, ), Yun Ma  (, ), Gengkai Hu  (, )

The sound field driven by piping systems in enclosures may severely affect living comfort, which is frequently encountered in various engineering applications. Managing this sound field relies heavily on the available prediction tools at hand, e.g., the widely used finite element methods are computationally expensive due to the necessity to discretize entire space, analytical models, based on modal expansion method, may offer substantial advantages in terms of computational cost and efficiency. However, deriving eigenmodes of irregular enclosed spaces may be challenging, which impedes accurate and rapid predictions of the sound field in practical applications. This study presents an analytical framework aimed at rapidly and accurately predicting the interior sound field driven by the piping system vibrations in irregular enclosures. Vibration response of the piping system is obtained using the wave approach, and a line dipole source is idealized as the sound source of the piping system vibration. On the basis of eigenmodes of regular enclosures, the Kirchhoff-Helmholtz integral theorem (modal expansion method for irregular enclosures) is introduced to account for the boundaries of irregular enclosures. This theoretical framework is validated through numerical simulations by finite element method and experiments, demonstrating high accuracy and significant efficiency advantages. The proposed method can be further employed to optimize radiated sound fields by tailoring the impedance of space walls or layout of piping systems. This study provides an efficient tool for predicting radiated sound field in general enclosures driven by vibration of piping systems, paving a new path for indoor acoustical optimization.

在各种工程应用中,管道系统驱动的声场会严重影响人们的生活舒适性。管理这一声场在很大程度上依赖于现有的预测工具,例如,广泛使用的有限元方法由于需要将整个空间离散化,计算成本很高,而基于模态展开方法的分析模型在计算成本和效率方面可能具有很大的优势。然而,导出不规则封闭空间的特征模态可能具有挑战性,这阻碍了在实际应用中准确和快速地预测声场。本文提出了一种分析框架,旨在快速准确地预测不规则壳体中管道系统振动驱动的内部声场。采用波动法得到了管道系统的振动响应,并将线偶极子源作为管道系统振动的理想声源。在正则包体本征模态的基础上,引入Kirchhoff-Helmholtz积分定理(不规则包体的模态展开法)来解释不规则包体的边界。该理论框架通过有限元数值模拟和实验验证,具有较高的精度和显著的效率优势。该方法可进一步用于通过调整空间壁阻抗或管道系统布局来优化辐射声场。该研究为管道系统振动驱动下的普通箱体辐射声场预测提供了有效工具,为室内声学优化开辟了新的途径。
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引用次数: 0
Experimental study of the biomechanics of osteoarthritis of the knee by pulsed electrical stimulation 脉冲电刺激对膝关节骨关节炎生物力学的实验研究
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-02-18 DOI: 10.1007/s10409-024-24489-x
Yanru Xue  (, ), Zekun Hua  (, ), Xinqi Lou  (, ), Yinuo Zhao  (, ), Ying Shen  (, ), Meng Zhang  (, ), Haoyu Feng  (, ), Xiaochun Wei  (, ), Yanqin Wang  (, ), Xiaogang Wu  (, ), Weiyi Chen  (, )

Osteoarthritis is one of the most common joint diseases, leading to joint pain, dysfunction, and a reduced quality of life for patients. Therefore, it is particularly important to explore more effective prevention, treatment and management methods to relieve patients’ pain and enhance their quality of life. Among physical therapies, pulsed electrical stimulation (PES) is considered to be a promising treatment method due to its high safety and ease-of-use features. PES provides a non-invasive, safe and effective option for patients. However, there are fewer studies on the biomechanical changes of PES in periarticular tissues, and its effects on the biological behavior of chondrocytes remain unknown. This study investigated the effects of PES on the biomechanical properties of osteoarthritic joints and the biological behavior of chondrocytes. The results showed that PES with an intensity of 10 mA and a frequency of 4 Hz increased the cross-sectional area of muscle fibers, prevented muscle atrophy and loss of function, and restored the mechanical properties of muscle tissue. PES also effectively increases the resistivity of knee osteoarthritis cartilage tissue, as well as the elastic modulus of cartilage, which can enhance the biomechanical characteristics of cartilage tissue. PES also promoted the metabolic activity of chondrocytes and increased cartilage matrix synthesis, thereby improving the overall structure and mechanical properties of cartilage tissue. Additionally, cellular experiments showed that 5 consecutive days of 800 mV PES significantly increased the expression level of Piezo1 gene in chondrocytes. At the same time, the expression of type II collagen and transforming growth factor beta increased, while the expression of matrix metallopeptidase 13 decreased. These changes favored the promotion of cartilage matrix synthesis. This has a positive effect on protecting and improving joint health and reducing the impact of osteoarthritis, and is important for understanding the mechanism of action of PES on chondrocytes and the development of related therapeutic strategies.

骨关节炎是最常见的关节疾病之一,导致关节疼痛、功能障碍和患者生活质量下降。因此,探索更有效的预防、治疗和管理方法,减轻患者的痛苦,提高患者的生活质量就显得尤为重要。在物理疗法中,脉冲电刺激(PES)因其高安全性和易用性被认为是一种很有前途的治疗方法。PES为患者提供了一种无创、安全、有效的选择。然而,关于PES在关节周围组织中生物力学变化的研究较少,其对软骨细胞生物学行为的影响尚不清楚。本研究探讨了PES对骨关节炎关节生物力学特性和软骨细胞生物学行为的影响。结果表明,强度为10 mA、频率为4 Hz的PES能增加肌肉纤维的横截面积,防止肌肉萎缩和功能丧失,恢复肌肉组织的力学性能。PES还能有效提高膝关节骨性关节炎软骨组织的电阻率,以及软骨的弹性模量,增强软骨组织的生物力学特性。PES还能促进软骨细胞的代谢活性,增加软骨基质的合成,从而改善软骨组织的整体结构和力学性能。此外,细胞实验显示,连续5天800 mV PES可显著提高软骨细胞中Piezo1基因的表达水平。同时,ⅱ型胶原和转化生长因子β的表达升高,基质金属肽酶13的表达降低。这些变化有利于促进软骨基质的合成。这对保护和改善关节健康,减少骨关节炎的影响具有积极作用,对了解PES对软骨细胞的作用机制和制定相关治疗策略具有重要意义。
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引用次数: 0
Effect of heat-release rate distribution on the propagation stability of detonation waves 放热速率分布对爆震波传播稳定性的影响
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-02-14 DOI: 10.1007/s10409-024-24519-x
Kepeng Yao  (, ), Chun Wang  (, ), Guilai Han  (, ), Zonglin Jiang  (, )

The distribution of exothermic reaction rates is jointly influenced by reduced activation energy and reaction rate constant. This study focuses on the effect of distribution of exothermic reaction rates on detonation wave propagation instability, specifically under conditions where the length of the induction and exothermic reaction remains constant. It is found that the distribution variation of exothermic reaction rates significantly influences the detonation wave propagation characteristics. Specifically, under conditions of high activation energy, the exothermic reaction rate profile exhibits a smoother distribution but becomes more prone to perturbations. This heightened sensitivity, coupled with the augmented overdriven degree associated with pulsating detonation and cellular detonation wave propagation, further exacerbates the instability characteristics of detonation waves. Especially to the two-dimensional detonation waves with high activation energies, the distribution of exothermic reaction rates becomes more sensitive to these displacements, reinforcing the transverse shock wave and leading to a transformation of the wavefront and cellular structure towards more unstable configurations. This research delves into the intricate interactions between the distribution of exothermic reaction rates and detonation wave instability, aiming to provide an explanatory of detonation instability.

放热反应速率分布受还原活化能和反应速率常数的共同影响。本研究重点研究了放热反应速率分布对爆震波传播不稳定性的影响,特别是在诱导和放热反应长度保持不变的情况下。研究发现,放热反应速率的分布变化对爆震波传播特性有显著影响。具体而言,在高活化能条件下,放热反应速率曲线分布更平滑,但更容易受到扰动。这种高灵敏度,再加上与脉动爆轰和细胞爆轰波传播相关的过度驱动程度的增强,进一步加剧了爆轰波的不稳定性特征。特别是对于具有高活化能的二维爆震波,放热反应速率的分布对这些位移更加敏感,增强了横向激波,导致波前和胞体结构向更不稳定的构型转变。本研究探讨了放热反应速率分布与爆轰波不稳定性之间复杂的相互作用,旨在对爆轰波不稳定性提供解释。
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引用次数: 0
Modulation of transformation strain based on crystal orientation effects in NiTi shape memory alloy 基于晶体取向效应的NiTi形状记忆合金相变应变调制
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-02-14 DOI: 10.1007/s10409-024-24223-x
Aimeng Zhang  (, ), Su Chen  (, ), Chenyang Du  (, ), Fa Wu  (, ), Chun Li  (, ), Shaobin Zhang  (, )

Equiatomic NiTi shape memory alloys (SMAs) can exhibit multiple martensitic transformations from a parent phase, significantly influencing the advanced macroscopic properties of SMAs, such as the large deformation/strain ability. A comprehensive atomic-scale understanding of the selection rule of the martensite phase/variant and its impact on the macroscopic mechanical behavior of SMA could be helpful for the development of high-performance SMAs. This work studies the transformation pathway, preferred martensite variant and corresponding macroscopic behavior of single crystal and bicrystal NiTi SMAs based on molecular dynamics and theoretical analysis. It is found that the transformation strain of single crystal NiTi is significantly influenced by the crystal orientation-dependent transformation pathway and martensite variant. The selection rule is that the transformation pathway and preferred martensite variant, leading to maximum transformation strains for each orientation, are energetically preferred. It can be predicted theoretically and agrees well with the molecular dynamic simulations. In addition, the stress-strain response of bicrystal NiTi can be modulated by changing its transformation pathway based on the orientation effect. This work provides atomic insights into the orientation-dependent deformation ability of NiTi and could be helpful for the development of high-performance SMAs through orientation modulation.

等原子NiTi形状记忆合金(SMAs)可以从母相发生多次马氏体转变,这显著影响了SMAs的高级宏观性能,如大变形/应变能力。在原子尺度上全面了解马氏体相/变体的选择规律及其对SMA宏观力学行为的影响,有助于高性能SMA的开发。本文基于分子动力学和理论分析,研究了单晶和双晶NiTi sma的转变途径、优选马氏体变异及相应的宏观行为。发现单晶NiTi的转变应变受晶体取向相关转变途径和马氏体变异的显著影响。选择规则是,在能量上优先选择导致每个取向的最大转变应变的转变途径和优选马氏体变体。理论预测结果与分子动力学模拟结果吻合较好。此外,双晶NiTi的应力应变响应可以通过改变取向效应的转变途径来调节。这项工作提供了对NiTi取向相关变形能力的原子见解,并可能有助于通过取向调制开发高性能sma。
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引用次数: 0
Effect of temperature and atmosphere on the fracture toughness and failure mechanisms of two-dimensional plain-woven SiCf/SiC composites: Experiments and modeling 温度和气氛对二维平面编织SiCf/SiC复合材料断裂韧性及破坏机制的影响:实验与模拟
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-02-14 DOI: 10.1007/s10409-024-24333-x
Yong Deng  (, ), Yi Hao  (, ), Huanfang Wang  (, ), Weiguo Li  (, ), Qiang Qin  (, ), Bing Pan  (, ), Chao Zhang  (, )

Ceramic matrix composites have broad application prospects in the aerospace field due to their high temperature resistance and oxidation resistance. The effect of temperature and environment atmosphere on the fracture toughness and failure mechanisms of two-dimensional plain-woven SiCf/SiC composites was investigated. The results show that they exhibit pseudo-plastic deformation behavior at different temperatures. The fracture toughness is as high as 48 MPa m1/2 at room temperature, and gradually decreases with rising temperature. The difference in fracture toughness between argon and air initially increases and then decreases with rising temperature. Furthermore, the high-temperature failure mechanisms of these composites were analyzed through macro and micro analysis. Based on this, a physic-based temperature-dependent fracture toughness model considering matrix toughness, plastic power, fiber pull-out, and residual thermal stress was developed for fiber-reinforced ceramic matrix composites. The model has been well validated by experimental results. An analysis of influencing factors regarding the evolution of fracture toughness was conducted by the proposed model. This work contributes to a better understanding of the mechanical performance evolution and failure mechanisms of ceramic matrix composites under multi-field coupling conditions, thereby promoting their applications.

陶瓷基复合材料具有耐高温、抗氧化等特点,在航空航天领域具有广阔的应用前景。研究了温度和环境气氛对二维平面编织SiCf/SiC复合材料断裂韧性的影响及其破坏机理。结果表明,在不同温度下,它们表现出伪塑性变形行为。室温断裂韧性高达48 MPa m1/2,随温度升高断裂韧性逐渐降低。随着温度的升高,氩气与空气的断裂韧性差异先增大后减小。通过宏观和微观分析,分析了复合材料的高温破坏机理。在此基础上,建立了基于温度的纤维增强陶瓷基复合材料断裂韧性模型,该模型考虑了基体韧性、塑性功率、纤维拔出和残余热应力。实验结果验证了该模型的正确性。利用该模型对影响断裂韧性演化的因素进行了分析。本工作有助于更好地理解陶瓷基复合材料在多场耦合条件下的力学性能演变和破坏机制,从而促进其应用。
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引用次数: 0
Correction to: Time-dependent viscoelastic behavior of an LDPE melt 修正:LDPE熔体随时间的粘弹性行为
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-20 DOI: 10.1007/s10409-024-24900-x
Shuxin Huang, Yurun Fan
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引用次数: 0
Atomistic study on the effects of short-range order on the creep behavior of TiVTaNb refractory high-entropy alloy at high temperature 短程量级对TiVTaNb耐火高熵合金高温蠕变行为影响的原子性研究
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-14 DOI: 10.1007/s10409-024-24478-x
Zhong-Ao Zhang  (, ), Yan-Kun Dou  (, ), Xin-Fu He  (, ), Yong-Peng Zhao  (, ), Wen-Jia Jiang  (, ), Wen Yang  (, )

Creep is an important mechanical property of refractory high-entropy alloys (RHEAs) at high temperatures. The existence of short-range order (SRO) and its ability to improve the strength or plasticity of high-entropy alloys (HEAs) have been experimentally proven. However, there is still little research on the correlation between SRO and creep behavior. The mechanism of SRO influencing creep behavior is not yet clear. In this work, the creep behaviors of TiVTaNb RHEA with and without SRO were simulated at various temperatures and stresses using molecular dynamics methods, and the effects of SRO on creep behavior were analyzed. The results show that the SRO is energetically favorable for occurrence in this RHEA. For polycrystalline RHEAs, grain boundary energy is an important driving force for the formation of SRO. Significantly, under the same conditions, the SRO can reduce the steady-state creep rate and change the creep mechanism of the RHEA. Specifically, the models with SRO will exhibit lower stress exponent and grain-size exponent. A mechanism by which SRO reduces the effects of grain boundaries on creep has been discovered. These phenomena can be well explained by the effects of SRO on atomic diffusion. In addition, by analyzing the diffusion ability of different elements, SRO can induce localization of atomic diffusion, resulting in strain localization under high stresses. This work highlights the importance of SRO on the creep of RHEAs and provides a reference for establishing a reasonable creep model of RHEAs.

高温下蠕变是难熔高熵合金的重要力学性能。实验证明了短程有序(SRO)的存在及其提高高熵合金(HEAs)强度和塑性的能力。然而,关于SRO与蠕变行为之间关系的研究还很少。SRO影响蠕变行为的机理尚不清楚。本文采用分子动力学方法,模拟了不同温度和应力下,添加和不添加SRO的TiVTaNb RHEA的蠕变行为,并分析了SRO对蠕变行为的影响。结果表明,SRO在能量上有利于该土卫五的发生。对于多晶RHEAs,晶界能是SRO形成的重要驱动力。在相同的条件下,SRO可以降低稳态蠕变速率,改变RHEA的蠕变机理。其中,SRO模型具有较低的应力指数和粒度指数。SRO降低晶界对蠕变影响的机理已经被发现。SRO对原子扩散的影响可以很好地解释这些现象。此外,通过分析不同元素的扩散能力,SRO可以诱导原子扩散局部化,从而导致高应力下的应变局部化。本文的研究突出了SRO对RHEAs蠕变的重要性,为建立合理的RHEAs蠕变模型提供了参考。
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引用次数: 0
Study of oxygen transport and thrombosis risk with membrane oxygenators 膜氧合器的氧气输送和血栓风险研究
IF 3.8 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-14 DOI: 10.1007/s10409-024-24528-x
Yuan Li  (, ), Xingji Fu  (, ), Chenlu Wang  (, ), Anqiang Sun  (, ), Xiaofei Wang  (, ), Zengsheng Chen  (, ), Yubo Fan  (, )

To build a thrombosis risk assessment model applicable to oxygenators and investigate the effects of oxygenator external configuration and membrane filaments macroscopic parameters on the performances of cylindrical oxygenators. A thrombosis driven by surface contact, shear stress, and anticoagulant drugs, and considering the effects of these factors on platelet, coagulation factor, and hemostatic protein function risk model was developed and validated with clinical oxygenators. The thrombosis model combined with a pressure loss model and an oxygen partial pressure model was used to assess the effect of the external structure and macroscopic parameters of the membrane filaments (height and thickness) on the performance of the cylindrical oxygenator. The cylindrical oxygenator center circular inflow manner and tangential outflow manner from the middle region of the outside benefit the overall performance of the oxygenator (reduced pressure loss and thrombosis risk). Increasing the radial thickness of the oxygenator membrane filaments significantly increased the oxygen exchange ability of the oxygenator and reduced the thrombosis risk compared to increasing the axial height, but with a smaller increase in pressure loss. Contact activation leading to thrombin production contributes significantly to oxygenator thrombosis. The oxygenator has little effect on platelet receptor function. Thrombosis in cylindrical oxygenators tends to form in the flow-flow/border impingement regions because of the high concentration of coagulation factors and long residence times in these regions. A thrombosis risk assessment model applicable to oxygenators was developed. We disclosed the mechanism of the impact of oxygenator external configuration and membrane filaments macroscopic parameters on its internal flow fields, the risk of thrombosis, and the efficiency of gas exchange, which are useful for the design and optimization of cylindrical oxygenators.

建立适用于氧合器的血栓风险评估模型,研究氧合器外部构型和膜丝宏观参数对圆柱形氧合器性能的影响。建立了由表面接触、剪切应力和抗凝药物驱动的血栓形成,并考虑这些因素对血小板、凝血因子和止血蛋白功能的影响的风险模型,并用临床氧合器进行了验证。采用血栓形成模型结合压力损失模型和氧分压模型来评估膜丝的外部结构和宏观参数(高度和厚度)对圆柱形氧合器性能的影响。圆柱形氧合器中心圆形流入方式和外部中部切向流出方式有利于氧合器的整体性能(降低压力损失和血栓形成风险)。增加氧合器膜丝径向厚度比增加轴向高度显著提高氧合器的氧交换能力,降低血栓形成风险,但压力损失的增加较小。导致凝血酶产生的接触激活对氧合器血栓形成有重要作用。氧合剂对血小板受体功能影响不大。在圆柱形氧合器中,由于凝血因子浓度高、停留时间长,血流/边界撞击区容易形成血栓。建立了适用于氧合器的血栓形成风险评估模型。揭示了氧合器外部结构和膜丝宏观参数对其内部流场、血栓形成风险和气体交换效率的影响机理,为圆柱形氧合器的设计和优化提供了理论依据。
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引用次数: 0
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