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Flow control of a surface-mounted finite-length square cylinder using synthetic jets 基于合成射流的面装有限长方形圆柱体流动控制
IF 4.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-03-13 DOI: 10.1007/s10409-025-25254-x
Shiqing Li  (, ), Meihua Xia  (, ), Shuxuan Cai  (, ), Yan Han  (, ), Peng Hu  (, ), Lingwei Zeng  (, )

This paper studied the effect of synthetic jets on active flow control around a finite-length square cylinder using the large eddy simulation method. Based on the oncoming flow velocity (U) and the model width d, the corresponding Reynolds number is 2.78 × 104. We explored the impact of the momentum coefficient (Cμ) and the dimensionless jet frequency (f*) on a finite-length square cylinder’s aerodynamic forces and flow field characteristics. The square cylinder has an aspect ratio of 5, with one end mounted on a wall and the other end free. The synthetic jet outlet is deployed at the windward leading edge of the square cylinder. It is found that synthetic jets positioned at the top can effectively suppress the cylinder’s aerodynamic forces. Both the momentum coefficient and dimensionless jet frequency influence the control effectiveness. The maximum reductions in total mean drag coefficients (Cd,mean) and fluctuating lift coefficient (Cl,rms) are 4.01% and 50.7%, respectively. With synthetic jet control, the shear flow at the free end of the square cylinder is significantly suppressed, the separation bubble on the top surface disappears, the shear layer at the free end approaches the top surface of the square cylinder, and the turbulent kinetic energy near the free end is significantly enhanced. This study may offer valuable guidance for related engineering applications.

本文采用大涡模拟的方法研究了合成射流对有限长方形圆柱主动流动控制的影响。基于迎面而来的流速(U∞)和模型宽度d,相应的雷诺数为2.78 × 104。研究了动量系数(Cμ)和无量纲射流频率(f*)对有限长方形圆柱气动力和流场特性的影响。方形圆柱体的长宽比为5,一端安装在墙上,另一端自由。合成射流出口设置在方形圆柱的迎风前缘。研究发现,在气缸顶部设置合成射流可以有效地抑制气缸的气动力。动量系数和无量纲射流频率都影响控制效果。总平均阻力系数(Cd,mean)和波动升力系数(Cl,rms)的最大降幅分别为4.01%和50.7%。在合成射流控制下,方柱自由端剪切流得到明显抑制,上表面分离泡消失,自由端剪切层接近方柱上表面,自由端附近湍流动能明显增强。本研究对相关工程应用具有一定的指导意义。
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引用次数: 0
Effects of reflection distance on Richtmyer-Meshkov instability in the reshock process: a discrete Boltzmann study 反射距离对回震过程中richhtmyer - meshkov不稳定性的影响:一个离散玻尔兹曼研究
IF 4.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-03-13 DOI: 10.1007/s10409-025-25378-x
Huilin Lai  (, ), Chuandong Lin  (, ), Demei Li  (, ), Tao Yang  (, ), Yanbiao Gan  (, ), Lingyan Lian  (, ), Aiguo Xu  (, )

The Richtmyer-Meshkov (RM) instability occurs when a perturbed interface between two fluids undergoes impulsive acceleration due to a shock wave. In this paper, a numerical investigation of the RM instability during the reshock process is conducted using the two-component discrete Boltzmann method. The influence of reflection distance on the RM instability, including both hydrodynamic and thermodynamic non-equilibrium effects, is explored in detail. The interaction time between the reflected shock wave and the material interface varies with different reflection distances. Larger reflection distances lead to a longer evolution time of the material interface before reshock, resulting in more complex effects on the interface deformation, the mixing extent of the fluid system, and non-equilibrium behaviors after reshock. Additionally, while the reflection distance has a minimal impact on mixing entropy before the secondary impact, a significant difference emerges after the secondary impact. This suggests that the secondary impact enhances the evolution of the RM instability. Furthermore, non-equilibrium behaviors or quantities exhibit complex dynamics due to the influence of the transmitted shock wave, transverse waves, rarefaction waves, material interfaces, and dissipation/diffusion processes.

richhtmyer - meshkov (RM)不稳定性发生在两种流体之间的扰动界面受到激波的脉冲加速度时。本文采用双分量离散玻尔兹曼方法对再激波过程中RM的不稳定性进行了数值研究。详细探讨了反射距离对RM不稳定性的影响,包括水动力和热力学非平衡效应。反射冲击波与材料界面的相互作用时间随反射距离的不同而变化。反射距离越大,材料界面在再冲击前的演化时间越长,对界面变形、流体体系的混合程度以及再冲击后的非平衡行为的影响也就越复杂。二次撞击前反射距离对混合熵的影响最小,二次撞击后反射距离对混合熵的影响显著。这表明二次冲击增强了RM不稳定性的演化。此外,由于透射激波、横波、稀薄波、材料界面和耗散/扩散过程的影响,非平衡行为或量表现出复杂的动力学。
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引用次数: 0
A three-dimensional VCFEM formulated with elasticity and thermal strain for porous materials 基于弹性和热应变的多孔材料三维VCFEM
IF 4.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-03-13 DOI: 10.1007/s10409-025-25067-x
Zichun Li  (, ), Rui Zhang  (, ), Ran Guo  (, )

In predicting the stress distributions of porous materials, the unique pore microstructure significantly impacts the stress distribution results. Traditional finite element methods (FEMs) typically require a large number of meshes to achieve a certain level of accuracy, leading to more degrees of freedom to be computed thus reducing efficiency. This paper proposes a three-dimensional Voronoi cell FEM (3D VCFEM) for porous materials that considers both elasticity and thermal strain using the three-dimensional hybrid stress element method and variational principles. Based on the principle of minimum complementary energy, modified complementary energy functionals are derived for cases with and without thermal strain. After scaling the elements, using the Delaunay division method to subdivide the pore element into multiple Delaunay tetrahedra, integration is performed using the Hammer numerical integration method. A three-dimensional stress function considering ellipsoidal shapes is constructed. By assuming and solving a higher-order stress field within the element, the stress calculation results of VCFEM are compared with those from MSC MARC to verify the accuracy and efficiency of VCFEM, and the innovative features and significant contributions of the three-dimensional VCFEM are also elaborated upon.

在预测多孔材料的应力分布时,独特的孔隙微观结构对应力分布结果有显著影响。传统的有限元方法通常需要大量的网格来达到一定的精度水平,导致计算更多的自由度,从而降低了效率。采用三维混合应力单元法和变分原理,提出了考虑弹性和热应变的多孔材料三维Voronoi单元有限元方法(3D VCFEM)。根据最小互补能原理,导出了有热应变和无热应变情况下的修正互补能泛函。缩放单元后,采用Delaunay分割法将孔隙单元细分为多个Delaunay四面体,采用Hammer数值积分法进行积分。构造了考虑椭球形状的三维应力函数。通过假设并求解单元内的高阶应力场,将VCFEM的应力计算结果与MSC MARC的应力计算结果进行比较,验证了VCFEM的精度和效率,并阐述了三维VCFEM的创新特点和重要贡献。
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引用次数: 0
Outer-layer similarity and coherent structures in turbulent boundary layer over smooth and rough wall 光滑和粗糙壁面上湍流边界层的外层相似性和相干结构
IF 4.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-03-13 DOI: 10.1007/s10409-025-25321-x
Zichun Zhang  (, ), Kebing Huo  (, ), Zexin Feng  (, ), Guanghao Chen  (, ), Xiaoqi Cheng  (, ), Nan Jiang  (, )

In the paper, we investigate the outer-layer similarity and coherent structures comparing the smooth-wall and rough-wall turbulent boundary layers (TBLs) in the streamwise-wall-normal plane at a low Reynolds number. Global quantities derived from planar velocity fields, measured via two-dimensional particle image velocimetry, are comprehensively assessed under varied surface conditions. The verification of Townsend’s outer-layer similarity is explored based on the comparisons of the mean velocity flow, velocity deficit, Reynolds stress, and diagnostic plots of the second-order statistics, even at these relatively low Reynolds numbers. The analysis of energy spectra and spatial correlation demonstrates that while the energy associated with large-scale motions attenuates and the small-scale fluctuations amplify near the wall, an outer energy peak is still observed, and the coherent structures at higher wall-normal positions are enhanced, retaining the basic spatial topology. Proper orthogonal decomposition, deemed as a global method based on the energy distribution, elucidates similarities in the low-order modes alongside distinct differences in the energy patterns, in agreement with the mechanisms observed in pre-multiplied energy spectra. Furthermore, flow structures associated with the energy transport, particularly ejection (Q2), sweep (Q4) events, and clockwise vortices, are identified by applying conditional average and quadrant analysis to the filtered velocity fields. The Q2/Q4 events, modulated by vortices induced by surface roughness, collectively delineate the footprints of large-scale fluctuations. Additionally, the small-scale flow fields over the rough surface display the wider and stronger upwash and downwash motions, which can be regarded as an imprint of high-speed momentum. These findings offer novel insights into the behavior of TBLs over both smooth and rough surfaces.

本文研究了低雷诺数下顺流-壁面法向面光滑壁面和粗糙壁面湍流边界层的外层相似性和相干结构。通过二维粒子图像测速法测量的平面速度场的整体量,在不同的表面条件下进行了综合评估。即使在这些相对较低的雷诺数下,通过对平均流速流、速度赤字、雷诺兹应力和二阶统计诊断图的比较,探索了Townsend的外层相似性的验证。能谱分析和空间相关性分析表明,虽然与大尺度运动相关的能量衰减,壁面附近的小尺度波动放大,但仍观察到一个外能量峰,高壁法向位置的相干结构增强,保持了基本的空间拓扑结构。适当的正交分解作为一种基于能量分布的全局方法,阐明了低阶模态的相似性和能量模式的明显差异,与预乘能谱中观察到的机制一致。此外,通过对过滤后的速度场进行条件平均和象限分析,确定了与能量输运相关的流动结构,特别是喷射(Q2)、扫掠(Q4)事件和顺时针旋涡。Q2/Q4事件由表面粗糙度引起的涡调制,共同描绘了大规模波动的足迹。此外,粗糙表面上的小尺度流场表现出更宽、更强的上冲和下冲运动,这可以看作是高速动量的印记。这些发现为tbl在光滑和粗糙表面上的行为提供了新的见解。
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引用次数: 0
Experimental investigation on double wedge type-V shock/shock interaction control subject to SparkJet array SparkJet阵列双楔v型激波/激波相互作用控制实验研究
IF 4.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-03-13 DOI: 10.1007/s10409-025-25207-x
Wei Xie  (, ), Zhenbing Luo  (, ), Hongyu Wang  (, ), Yan Zhou  (, ), Qiang Liu  (, ), Yinxin Zhu  (, )

Shock/shock interaction (SSI) poses significant risks to aircraft performance and safety, while the double wedge type-V SSI serves as a classic case. The present study systematically investigates the control effects of low-frequency and high-frequency SparkJet arrays on the double wedge type-V SSI through Ma = 6.13 wind tunnel experiments. Two distinct discharge forms were employed, capable of generating low-frequency high-energy SparkJet and high-frequency low-energy SparkJet, respectively. During low-frequency discharges, the produced high-energy SparkJet progressively develops downstream and couples with the separation zone, forming a plasma layer that directly impacts the SSI zone. Wall pressures within the coverage of the plasma layer demonstrate a significant decrease, while pressures outside the coverage exhibit an increase. The greatest observed reduction was 52.49%. Although the discharge energy is relatively low during high-frequency discharges, effective control can still be achieved at specific frequencies. When the discharge frequency is set to 20 kHz, the continuous generation of SparkJets results in a notable expansion of the separation zone and a slight attenuation of the SSI, which is more pronounced compared to that observed at 5 and 10 kHz. In addition, the power spectral density and spectral proper orthogonal decomposition analyses reveal that the type-V SSI exhibits three typical characteristic frequencies: a low-frequency signal marked by the separation shock, a sub-high-frequency signal characterized by both the separation shock and the SSI zone, and multiple high-frequency signals near and within the SSI zone. Under the control of SparkJets at three distinct discharge frequencies, the resultant flow fields are all predominantly characterized by their respective discharge frequencies. This leads to the attenuation of the original low-frequency and sub-high-frequency signals. The underlying control mechanisms and causative factors are further discussed.

冲击/冲击相互作用(SSI)对飞机的性能和安全构成重大风险,而双楔v型SSI是一个经典案例。通过Ma∞= 6.13风洞实验,系统研究了低频和高频SparkJet阵列对双楔v型SSI的控制效果。采用了两种不同的放电形式,分别能够产生低频高能SparkJet和高频低能量SparkJet。在低频放电过程中,产生的高能SparkJet逐渐向下游发展,并与分离区耦合,形成直接影响SSI区的等离子体层。等离子体层覆盖范围内的壁压显著降低,而覆盖范围外的壁压则增加。最大降幅为52.49%。虽然在高频放电时放电能量相对较低,但在特定频率下仍可实现有效控制。当放电频率设置为20 kHz时,SparkJets的连续产生导致分离区显着扩展和SSI的轻微衰减,这与在5和10 kHz时观察到的情况相比更为明显。此外,功率谱密度和谱固有正交分解分析表明,v型SSI具有三个典型特征频率:以分离激波为特征的低频信号、以分离激波和SSI区为特征的亚高频信号以及SSI区附近和内部的多个高频信号。在三种不同的放电频率下,在SparkJets的控制下,形成的流场都以各自的放电频率为主要特征。这导致了原有低频和亚高频信号的衰减。进一步讨论了潜在的控制机制和致病因素。
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引用次数: 0
Study on the initiation characteristics of oblique detonation waves induced by curved surfaces in acetylene-air mixtures 乙炔-空气混合物中曲面诱导斜爆震波起爆特性研究
IF 4.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-03-13 DOI: 10.1007/s10409-025-25172-x
Yirong Xin  (, ), Gaoxiang Xiang  (, ), Yichen Zhang  (, ), Qiu Wang  (, )

The reliable initiation of oblique detonation waves (ODWs) represents a critical factor determining the operational performance of oblique detonation engines (ODEs). While previous research has predominantly focused on idealized semi-infinite wedge configurations, such studies have consistently revealed challenges including wave instability, detonation quenching, and compromised engine efficiency. This study presents a numerical investigation of initiation mechanisms and flow field characteristics in ODWs induced by curved surfaces. The analysis employs two-dimensional, multispecies, compressible Reynolds-averaged Navier-Stokes equations coupled with a detailed acetylene combustion model. Key results demonstrate that curved-surface-induced detonations achieve a substantially wider standing range than wedge-induced counterparts, primarily attributable to sustained compression effects generated by concave geometries. Notably, at small wedge angles, the curved surface configuration significantly reduces the detonation initiation distance. The initial formation phase reveals unstable behavior characterized by the large-angle overdriven detonation wave originating from the downstream steep wall section, which subsequently migrates upstream before stabilizing. Detailed examination of the wave structure identifies four distinct components: a curved shock wave (CSW), an overdriven detonation front, a transmitted shock wave, and a supersonic jet flow. Within this configuration, we observe an alternating reflection pattern of expansion waves and compression waves in the supersonic jet region, arising from Type IVr shock-shock interactions between the overdriven detonation wave and the CSW. Viscous effects analysis shows that the gradual curvature transition between the wall and flat plate effectively attenuates shock wave/boundary layer interactions. Furthermore, increased boundary layer thickness is found to significantly alter the ODW morphology while simultaneously inhibiting upstream propagation of the downstream overdriven detonation wave. These findings provide fundamental insights into the complex fluid dynamics governing ODEs, offering valuable implications for the development of more stable and efficient propulsion systems.

斜爆震波的可靠起爆是决定斜爆震发动机工作性能的关键因素。虽然之前的研究主要集中在理想的半无限楔形结构上,但这些研究不断揭示出波不稳定性、爆轰淬火和发动机效率降低等挑战。本文采用数值方法研究了曲面诱导下odw的起爆机理和流场特征。该分析采用二维、多组分、可压缩的雷诺平均纳维-斯托克斯方程,并结合详细的乙炔燃烧模型。关键结果表明,曲面诱发爆轰的持续范围比楔形诱发爆轰的持续范围要宽得多,这主要归因于凹几何形状产生的持续压缩效应。值得注意的是,当楔角较小时,曲面结构显著减小了爆轰起爆距离。地层初始阶段表现出不稳定行为,其特征是大角度超驱动爆震波从下游陡壁段发出,随后向上游迁移并趋于稳定。对波结构的详细检查确定了四个不同的组成部分:弯曲激波(CSW),过度驱动的爆轰锋面,透射激波和超音速射流。在这种结构中,我们观察到超音速射流区域膨胀波和压缩波的交替反射模式,这是由过度驱动的爆震波和CSW之间的IVr型激波相互作用引起的。粘滞效应分析表明,壁面与平板之间的逐渐曲率转变有效地减弱了激波与边界层的相互作用。此外,边界层厚度的增加显著改变了ODW的形态,同时抑制了下游超驱动爆震波的上游传播。这些发现为控制ode的复杂流体动力学提供了基本的见解,为开发更稳定、更高效的推进系统提供了有价值的启示。
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引用次数: 0
Predicting open-hole laminates failure using support vector machines with classical and quantum kernels 基于经典核和量子核的支持向量机预测裸眼层合板失效
IF 4.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-03-10 DOI: 10.1007/s10409-025-25292-x
Giorgio Tosti Balducci, Boyang Chen, Matthias Möller, Marc Gerritsma, Roeland De Breuker

Modeling open-hole failure of composites is a complex task, consisting of a highly nonlinear response with interacting failure modes. Numerical modeling of this phenomenon has traditionally been based on the finite element method, but requires to tradeoff between high fidelity and computational cost. To mitigate this shortcoming, recent work has leveraged machine learning to predict the strength of open-hole composite specimens. Here, we also propose using data-based models to tackle open-hole composite failure from a classification point of view. More specifically, we show how to train surrogate models to learn the ultimate failure envelope of an open-hole composite plate under in-plane loading. To achieve this, we solve the classification problem via support vector machine (SVM) and test different classifiers by changing the SVM kernel function. The flexibility of kernel-based SVM also allows us to integrate the recently developed quantum kernels in our algorithm and compare them with the standard radial basis function kernel. Finally, thanks to kernel-target alignment optimization, we tune the free parameters of all kernels to best separate safe and failure-inducing loading states. The results show classification accuracies higher than 90% for RBF, especially after alignment, followed closely by the quantum kernel classifiers.

复合材料裸眼破坏建模是一项复杂的任务,它包含了一个高度非线性的响应和相互作用的破坏模式。这种现象的数值模拟传统上是基于有限元方法,但需要在高保真度和计算成本之间进行权衡。为了克服这一缺点,最近的研究利用机器学习来预测裸眼复合材料样品的强度。在这里,我们还建议从分类的角度使用基于数据的模型来解决裸眼复合失效问题。更具体地说,我们展示了如何训练代理模型来学习面内载荷下开孔复合材料板的最终破坏包络线。为此,我们通过支持向量机(SVM)来解决分类问题,并通过改变支持向量机核函数来测试不同的分类器。基于核的支持向量机的灵活性也允许我们将最近发展的量子核集成到我们的算法中,并将它们与标准径向基函数核进行比较。最后,由于内核目标对齐优化,我们调整了所有内核的自由参数,以最好地分离安全和诱导故障的加载状态。结果表明,RBF的分类准确率高于90%,特别是在对齐后,其次是量子核分类器。
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引用次数: 0
Multiscale modeling of grain boundary-mediated plastic strain recovery in nanocrystalline metals 纳米晶金属晶界介导的塑性应变恢复的多尺度模拟
IF 4.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-03-03 DOI: 10.1007/s10409-025-25142-x
Ben Fang  (, ), Tao Fang  (, ), Xiaoqiang Wang  (, ), Zhongliang Yu  (, ), Wenqing Zhu  (, ), Chaonan Cong  (, ), Xiaoding Wei  (, )

We propose a new mechanistic framework to unveil the fundamental mechanisms governing multi-cycle plastic strain recovery in nanocrystalline metals. The model uniquely integrates crystal plasticity in nanograins with grain boundary (GB) chemo-mechanics, explicitly resolving atomic flux driven by chemical potential gradients under evolving stress and free volume distributions. Applied to nanocrystalline copper films, our simulations capture transient (10−7 s−1) and steady-state (10−8 s−1) strain recovery rates spanning hours to days, achieving quantitative agreement with experimental kinetics across six orders of time scale. Three key advances emerge: (1) GB-mediated atomic diffusion dominates recovery (contributing > 75% of total strain reversal), while dislocation back-stress in nanograins plays a secondary role; (2) recovery cycles induce microstructural evolution through stress-driven free volume redistribution, generating chaotic GB stress states and localized plasticity accumulation at triple junctions; (3) macroscopic strain recovery masks progressive microplasticity in GB networks, revealing a fatigue precursor mechanism inaccessible to conventional models. This work establishes the first predictive link between atomic-scale GB dynamics and macroscopic time-dependent recovery, providing a transformative tool for designing fatigue-resistant nanocrystalline alloys through GB engineering.

我们提出了一个新的机制框架来揭示纳米晶金属多周期塑性应变恢复的基本机制。该模型独特地将纳米颗粒的晶体塑性与晶界(GB)化学力学结合起来,明确地解决了在不断变化的应力和自由体积分布下由化学势梯度驱动的原子通量。应用于纳米晶铜膜,我们的模拟捕获瞬态(10−7 s−1)和稳态(10−8 s−1)应变恢复速率跨越数小时到数天,在六个时间尺度上实现了与实验动力学的定量一致。三个关键进展:(1)gb介导的原子扩散主导恢复(占总应变逆转的75%),而纳米颗粒中的位错背应力起次要作用;(2)恢复循环通过应力驱动的自由体积重分布诱导微观结构演化,产生混沌的GB应力状态和三联结处的局部塑性积累;(3)宏观应变恢复掩盖了GB网络的渐进微塑性,揭示了常规模型无法实现的疲劳前兆机制。这项工作建立了原子尺度GB动力学和宏观时间相关恢复之间的第一个预测联系,为通过GB工程设计抗疲劳纳米晶合金提供了一种变变性工具。
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引用次数: 0
A mesoscale numerical study on the geometrically necessary dislocations at grain boundaries and the back stress in polycrystalline grains 多晶晶界几何必要位错及背应力的中尺度数值研究
IF 4.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-03-03 DOI: 10.1007/s10409-025-25079-x
Tao Zhang  (, ), Shuang Xu  (, ), Xin Lai  (, ), Lisheng Liu  (, ), Maoyuan Jiang  (, )

Elucidating the relationship between geometrically necessary dislocations (GNDs) and back stress is essential for modeling the strain hardening behavior of polycrystalline materials. This study employs dislocation dynamics simulations to quantitatively assess the impact of GND distributions on the associated back stress at the mesoscale. In a simple cubic lattice, the stress fields generated by elementary GND boundaries, including variations in boundary sizes, dislocation types, and distribution patterns, are systematically analyzed. By taking into account the fluctuation of surface GND density, the calculation of back stress is established using the elasticity theory of dislocations combined with scaling functions. It has been demonstrated that the surface GND density is a critical parameter that controls the amplitude of back stress. Subsequently, the prediction of back stress in face-centered cubic crystalline grains is validated with more realistic GND distributions. Considering identical initial Frank-Read sources, dislocation pile-ups are predominantly formed in coarse grains, yet the resulting surface GND density remains comparable to that observed in smaller grains. This phenomenon is responsible for the similar back stress values in grains of varying sizes. Finally, the activation of cross-slip inhibits the formation of dislocation pile-ups, leading to a linear decrease in back stress with increasing plastic strain.

阐明几何必要位错(GNDs)与背应力之间的关系对于模拟多晶材料的应变硬化行为至关重要。本研究采用位错动力学模拟方法,定量评估地向分布对中尺度相关背应力的影响。在简单的立方晶格中,系统地分析了由基本GND边界产生的应力场,包括边界大小、位错类型和分布模式的变化。在考虑地表GND密度波动的基础上,采用位错弹性理论结合标度函数建立了背应力的计算方法。结果表明,表面GND密度是控制背应力幅值的关键参数。随后,用更真实的GND分布验证了面心立方晶粒的背应力预测。考虑相同的初始Frank-Read源,位错堆积主要在粗晶粒中形成,但由此产生的表面GND密度仍与在较小晶粒中观察到的密度相当。这一现象是造成不同粒径颗粒中背应力值相似的原因。最后,交叉滑移的激活抑制了位错堆积的形成,导致背应力随塑性应变的增加呈线性降低。
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引用次数: 0
Stress evolution characteristics of packaging structures with embedded piezoresistive sensors under thermal cycling loads 热循环载荷下嵌入压阻式传感器封装结构的应力演化特征
IF 4.6 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-03-03 DOI: 10.1007/s10409-025-25124-x
Wenqing Chen  (, ), Yuexing Wang  (, ), Linwei Cao  (, ), Xu He  (, ), Xiangyu Sun  (, ), Jichao Qiao  (, ), Quanfeng Zhou  (, )

The miniaturization of electronic components and the increasing density of solder joint arrays have made the reliability testing and simulation optimization of packaging devices increasingly challenging. Effectively capturing the stress within packaging structures has become a critical issue that needs to be addressed in the field of advanced packaging. This research focuses on wafer-level chip packaging structures, exploring the internal stress evolution under thermal cycling loads and proposing a methodology that integrates experimental and simulation approaches based on embedded silicon-based piezoresistive sensors. By leveraging these sensors for the first time, real-time monitoring of stress variations across different regions of power modules was achieved, offering precise characterization of cumulative stress behavior during thermal cycling. The results indicate that the gradual accumulation of internal stress is predominantly driven by the inherent plastic deformation and creep properties of solder materials under cyclic thermal conditions. Based on this, a unified creep-plasticity constitutive model coupled with damage was developed and compiled into a UMAT subroutine, which was then incorporated into finite element software for simulation. The simulation results closely matched the experimental data, successfully replicating the stress evolution pattern during thermal cycling. This study not only elucidates the underlying mechanisms of stress evolution in advanced packaging structures but also validates the feasibility of using embedded sensor technology and enhanced simulation models to tackle the challenge of stress measurement, providing a novel approach and technical pathway for the reliability design and optimization of packaging structures.

电子元件的小型化和焊点阵列密度的不断提高,使得封装器件的可靠性测试和仿真优化越来越具有挑战性。有效捕获包装结构内的应力已成为先进包装领域需要解决的关键问题。本研究聚焦于晶圆级芯片封装结构,探索热循环载荷下的内应力演变,并提出了一种基于嵌入式硅基压阻传感器的实验与仿真相结合的方法。通过首次利用这些传感器,实现了对电源模块不同区域应力变化的实时监测,提供了热循环过程中累积应力行为的精确表征。结果表明,在循环热条件下,焊接材料固有的塑性变形和蠕变特性是导致内应力逐渐累积的主要原因。在此基础上,建立了考虑损伤的统一蠕变-塑性本构模型,并将其编译成UMAT子程序,并将其整合到有限元软件中进行仿真。模拟结果与实验数据吻合较好,成功地再现了热循环过程中的应力演化规律。本研究不仅阐明了先进封装结构中应力演化的潜在机制,而且验证了利用嵌入式传感器技术和增强仿真模型来解决应力测量挑战的可行性,为封装结构可靠性设计和优化提供了新的方法和技术途径。
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Acta Mechanica Sinica
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