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A unified fractional-order viscoplastic fatigue damage model for rock materials under cyclic loading with creep effects 含蠕变的岩石材料循环加载的统一分数阶粘塑性疲劳损伤模型
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-04-01 Epub Date: 2026-01-06 DOI: 10.1016/j.compgeo.2025.107878
Jin Zhang , Chong Shi , Linkai Zhang , Ke Ren , Wei Qiao , Xuan Tang
This study presents a fractional-order viscoplastic fatigue–damage model to investigate the long-term deformation behavior of rock materials considering creep effects. Fatigue damage is interpreted as progressive microstructural degradation, formulated through a convolution-based evolution law, while time-dependent creep effects are captured via a viscoplastic yield function. Fractional calculus is introduced to establish a unified constitutive framework that couples viscoplastic deformation with damage evolution. The established model is implemented numerically using a return-mapping algorithm and validated through applications to four sets of experimental data reported in the literature, showing excellent agreement in terms of strain-rate dependency, cumulative deformation, confining pressure effects and fatigue life. Moreover, the proposed model successfully reproduces the transition of volumetric strain from compaction to dilation during cyclic loading, demonstrating its capability to capture the coupled fatigue–creep behavior of rock materials.
为了研究考虑蠕变效应的岩石材料的长期变形行为,提出了分数阶粘塑性疲劳损伤模型。疲劳损伤被解释为渐进的微观结构退化,通过基于卷积的演化规律来表述,而随时间变化的蠕变效应则通过粘塑性屈服函数来捕捉。引入分数阶微积分,建立粘塑性变形与损伤演化耦合的统一本构框架。利用回归映射算法对所建立的模型进行了数值实现,并通过文献中报道的四组实验数据进行了验证,在应变率依赖性、累积变形、围压效应和疲劳寿命方面表现出良好的一致性。此外,所提出的模型成功地再现了循环加载过程中体积应变从压实到膨胀的转变,证明了其捕捉岩石材料疲劳-蠕变耦合行为的能力。
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引用次数: 0
A GSA-ML hybrid framework combined key geological parameters selection for deformation prediction of fractured rock slopes 结合关键地质参数选择的GSA-ML混合框架用于裂隙岩质边坡变形预测
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-04-01 Epub Date: 2025-12-31 DOI: 10.1016/j.compgeo.2025.107876
Wenxiu Wang , Huanling Wang , Yizhe Wu , Chenglong Yang , Wei Bao , Yuxuan Liu
The deformation prediction of fractured rock slopes is a key challenge in hydropower engineering due to the heterogeneity and stochastic distribution of fracture systems. Traditional approaches often struggle to identify dominant fracture parameters and maintain predictive accuracy while preserving geological interpretability. This study proposes a hybrid feature selection and prediction framework that integrates Discrete Fracture Network (DFN) modeling, Finite Difference Method (FDM), Global Sensitivity Analysis (GSA), and Extreme Gradient Boosting (XGBoost). Eighteen fracture-related geometric and mechanical parameters were initially considered, with maximum slope displacement from DFN-FDM simulations as the output. Sensitivity ranking was performed using Pearson correlation, Sobol variance-based index, and PAWN density-based method (Probabilistic Analysis of Whisker Numbers). The results indicate that 11 parameters dominate slope deformation, reflecting both geometric configuration and mechanical heterogeneity. Based on ranked features, XGBoost surrogate models were established and evaluated through 10-fold cross-validation. The GSA-XGBoost achieves the lowest error, outperforming both the original model and PCA-based (Principal Component Analysis) surrogate model, while reducing dimensionality and retaining geological interpretability. Application to a fractured slope at BDa Hydropower Station demonstrates the framework’s capacity for parameter prioritization and reliable deformation prediction. This approach provides practical guidance for slope stability evaluation and support design in fractured rock masses.
由于裂隙系统的非均质性和随机性,裂隙边坡的变形预测是水电工程中的一个关键问题。传统方法往往难以确定主要裂缝参数,并在保持地质可解释性的同时保持预测精度。本研究提出了一个混合特征选择和预测框架,该框架集成了离散裂缝网络(DFN)建模、有限差分法(FDM)、全局灵敏度分析(GSA)和极端梯度增强(XGBoost)。最初考虑了18个与裂缝相关的几何和力学参数,并将DFN-FDM模拟的最大边坡位移作为输出。采用Pearson相关性、基于Sobol方差的指数和基于PAWN密度的方法(须数概率分析)进行敏感性排序。结果表明,11个参数主导了边坡变形,反映了边坡的几何形态和力学非均质性。基于排序特征,建立XGBoost代理模型,并通过10次交叉验证对模型进行评价。GSA-XGBoost实现了最低的误差,优于原始模型和基于pca(主成分分析)的代理模型,同时降低了维数并保留了地质可解释性。通过对BDa水电站断裂边坡的应用,验证了该框架的参数优选能力和可靠的变形预测能力。该方法对裂隙岩体边坡稳定性评价和支护设计具有实际指导意义。
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引用次数: 0
Improved p-y curve modeling for large-diameter monopiles in asymmetric scour conditions in sandy soils 沙质土非对称冲刷条件下大直径单桩的改进p-y曲线建模
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-04-01 Epub Date: 2025-12-31 DOI: 10.1016/j.compgeo.2025.107880
Ben Wu, Siau Chen Chian
Scour is a critical factor affecting the bearing capacity of monopile foundations for offshore wind turbines (OWTs). Influenced by factors such as flow direction, turbulence structures and sediment heterogeneity, the geometry of scour holes often exhibit asymmetry. This study investigates the effects of geometric asymmetry of scour holes on the bearing capacity of large-diameter monopiles through the finite element method (FEM) in sandy soil. A self-developed Python Application Programming Interface (Python-API) program is implemented to automatically extract p-y curves from FEM results. The proposed FEM approach is validated through comparison with existing centrifuge test data. A series of parametric analyses is subsequently conducted, revealing that scour hole asymmetry has a minor influence on monopile deformation and the location of rotation center, but has a pronounced impact on the ultimate soil resistance. Among all geometric parameters, the ultimate soil resistance is most sensitive to variations in depth asymmetry, whereas the effects of width and slope asymmetry are negligible. Under the combined influence of pile diameter, the depth asymmetry continues to exhibit a strong correlation with ultimate soil resistance. Findings from the parametric analyses are adopted to improve the existing p-y curve model, which is subsequently validated against existing centrifuge tests and analytical solutions.
冲刷是影响海上风力发电机组单桩基础承载力的重要因素。受水流方向、湍流结构和泥沙非均质性等因素的影响,冲刷孔的几何形状往往呈现不对称性。采用有限元方法研究了砂质土中冲刷孔几何不对称对大直径单桩承载力的影响。实现了自行开发的Python应用编程接口(Python- api)程序,可自动从有限元结果中提取p-y曲线。通过与现有离心机试验数据的对比,验证了所提出的有限元方法的有效性。随后进行的一系列参数分析表明,冲刷孔不对称对单桩变形和旋转中心位置的影响较小,但对极限土抗力的影响较大。在所有几何参数中,土壤极限阻力对深度不对称最为敏感,而宽度和坡度不对称的影响可以忽略不计。在桩径的综合影响下,桩深不对称继续与极限土阻力表现出较强的相关性。采用参数分析的结果来改进现有的p-y曲线模型,随后根据现有的离心机试验和分析解进行验证。
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引用次数: 0
Stochastic simulation of three-dimensional unsaturated flow in water repellent heterogeneous soil 拒水非均质土中三维非饱和流动的随机模拟
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-04-01 Epub Date: 2026-01-21 DOI: 10.1016/j.compgeo.2026.107938
Evan John Ricketts , Peter John Cleall , Anthony Jefferson , Pierre Kerfriden , Paul Lyons
It has been established that spatial variability of material properties can lead to distinct unstable hydraulic behaviour, and that this is prominent in soils due to their large spatial heterogeneity. This characteristic can lead to non-uniform wetting behaviour and is particularly prominent when the wettability of the medium is also non-uniform. In water repellent soil, its wettability is often spatially varying, such that a network of flow paths is created where fluid can move preferentially, leading to fingered flow patterns. In this study, the development of a model to represent moisture transport in hydrophobic soil is presented. Local spatial variations in material properties are represented by Gaussian random fields as part of a stochastic finite element based model. Key components of the model include an approach to represent the transition region between wettable and non-wettable layers, and the adoption of a suitable saturation–capillary pressure relationship. For wettable soil, this can be achieved with the standard van Genuchten relation. For hydrophobic soil, this is not applicable; thus, an alternative is employed. The model is then validated against field-scale experimental observations by Lipsius and Mooney (2006), which examined the impact of soil heterogeneity on infiltration profiles. The results demonstrate the model’s ability to capture complex flow dynamics in hydrophobic soils, extending the understanding of moisture transport in heterogeneous soils by explicitly modelling the spatial variability of wettability and its impact on soil hydraulic response.
已经确定,材料特性的空间变异性会导致不同的不稳定水力行为,并且由于其巨大的空间异质性,这在土壤中是突出的。这一特性可能导致不均匀的润湿行为,当介质的润湿性也不均匀时,这一特性尤为突出。在疏水性土壤中,其润湿性通常是空间变化的,因此流体可以优先移动的流动路径网络会形成指状流动模式。在这项研究中,提出了一个模型来表示水分在疏水土壤中的输送。材料性能的局部空间变化用高斯随机场表示,作为随机有限元模型的一部分。该模型的关键组成部分包括一种表示可湿层和不可湿层之间过渡区域的方法,以及采用合适的饱和度-毛细管压力关系。对于可湿性土壤,这可以用标准的van Genuchten关系来实现。对于疏水性土壤,这是不适用的;因此,采用了另一种方法。然后,Lipsius和Mooney(2006)根据现场尺度的实验观察验证了该模型,该实验研究了土壤异质性对入渗剖面的影响。结果表明,该模型能够捕捉疏水性土壤中复杂的流动动力学,通过明确模拟润湿性的空间变异性及其对土壤水力响应的影响,扩展了对非均质土壤中水分输送的理解。
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引用次数: 0
Development and verifications of rock bolts with axial-bending coupling deformation and bolt-rock interface effect in discontinuous deformation analysis (DDA) 不连续变形分析(DDA)中轴-弯耦合变形及锚杆-岩石界面效应锚杆的研制与验证
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-04-01 Epub Date: 2026-01-16 DOI: 10.1016/j.compgeo.2026.107922
Xinyang Lv , Youjun Ning
Rock bolting serves as a crucial reinforcement measure by mobilizing and enhancing the strength and self-stability of rock masses. In this work, a rock bolt model that incorporates the axial-bending coupling deformation and the bolt-rock interface axial and lateral interaction effects is established within the discontinuous deformation analysis (DDA). The effectiveness of the developed bolt model is first verified by comparing the DDA simulation results of bolt pull-out tests and bolt single and double-structural plane shear tests with experimental and theoretical results. Correspondingly, in the pull-out tests, the relationships between pull-out force and displacement, and the characteristics of interface shear stress and bolt axial force are investigated. In the structural plane shear tests, the relationships between bolt shear resistance and joint shear displacement, and the bolt bending deformation and force characteristics are investigated. Moreover, comparative simulation studies of a jointed rock tunnel without and with bolt reinforcement are conducted to verify the feasibility of the developed rock bolt model in practical simulations of jointed rock mass reinforcement by bolts. Correspondingly, the deformation and failure responses of the tunnel surrounding rock, as well as the deformation and force characteristics of the bolts, are comprehensively investigated. This work enhances the rock bolting simulation capability of DDA and provides an optional numerical approach for rock bolting problem investigations, especially for jointed rock.
锚杆支护是一种重要的加固措施,可以调动和提高岩体的强度和自稳定性。在非连续变形分析(DDA)中,建立了考虑轴向-弯曲耦合变形和锚杆-岩石界面轴向和侧向相互作用的锚杆模型。通过将锚杆拔拔试验和锚杆单、双结构面剪切试验的DDA模拟结果与试验和理论结果进行对比,验证了所建立锚杆模型的有效性。相应的,在拉拔试验中,研究了拉拔力与位移的关系,以及界面剪应力和锚杆轴力的特征。在结构面剪切试验中,研究了锚杆抗剪强度与节理剪切位移的关系,以及锚杆弯曲变形和受力特性。通过对无锚杆加固和有锚杆加固的节理岩体隧道进行对比仿真研究,验证了所建立的锚杆模型在实际模拟节理岩体锚杆加固中的可行性。相应的,对巷道围岩的变形破坏响应以及锚杆的变形受力特性进行了全面的研究。本工作提高了DDA的锚固模拟能力,为研究锚固问题,特别是节理岩体的锚固问题提供了一种可选的数值方法。
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引用次数: 0
Data-driven ANN model for estimating unfrozen water content in the thermo-hydraulic simulation of frozen soils 基于数据驱动的人工神经网络模型估算冻土热水力模拟中未冻水含量
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-04-01 Epub Date: 2025-12-21 DOI: 10.1016/j.compgeo.2025.107846
Mingpeng Liu , Peizhi Zhuang , Raul Fuentes
This study integrates a data-driven model for estimating the unfrozen water content into the thermo-hydraulic coupled simulation of frozen soils. An artificial neural network (ANN) was employed to develop this data-driven model using a dataset from the literature. Thereafter, a numerical algorithm was developed to implement the data-driven model into the thermo-hydraulic simulation. In the numerical algorithm, the frozen and unfrozen zones are distinguished first according to the freezing temperature, where the unfrozen water at frozen nodes is updated using the ANN model. Subsequently, discretized hydraulic and thermal equations are solved sequentially and iteratively using the Newton-Raphson method. Horizontal and vertical freezing experiments are used to verify the reliability of the proposed algorithm. The computed variations in temperature, total water, unfrozen water, and ice content achieve good agreement with measured data. Some key features of frozen soils, such as water migration and ice formation, and the increase in total water content, are reproduced by the developed algorithm. Additionally, the comparison between the ANN model and existing empirical equations for determining unfrozen water content demonstrates that the ANN model offers better performance.
本研究将数据驱动的冻土水含量估算模型集成到冻土热-水耦合模拟中。使用文献中的数据集,采用人工神经网络(ANN)来开发该数据驱动模型。在此基础上,提出了一种数值算法,将数据驱动模型应用到热液仿真中。在数值算法中,首先根据冻结温度区分冻结区和未冻结区,其中使用人工神经网络模型更新冻结节点的未冻结水。随后,采用牛顿-拉夫逊法对离散的水力和热工方程进行了顺序迭代求解。通过水平和垂直冻结实验验证了算法的可靠性。计算得到的温度、总水量、未冻水量和冰含量的变化与实测数据吻合良好。该算法可以再现冻土的一些关键特征,如水分迁移和结冰,以及总含水量的增加。此外,将人工神经网络模型与现有的确定未冻水含量的经验方程进行比较,表明人工神经网络模型具有更好的性能。
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引用次数: 0
Nonlocal binary-medium constitutive model for quasibrittle materials: A framework with implicit gradient enhancement 准脆性材料的非局部二元介质本构模型:隐式梯度增强框架
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-04-01 Epub Date: 2025-12-31 DOI: 10.1016/j.compgeo.2025.107885
Yanbin Chen , Enlong Liu , Ziyin Cai
To address the pathological mesh dependency inherent in strain-softening simulations of quasibrittle materials, this paper presents a novel implicit gradient-enhanced computational framework for nonlocal binary-medium models. The core innovation lies in the synergistic integration of gradient-enhanced regularization with the multiscale homogenization theory underpinning binary-medium models. This approach preserves the sound physical foundation of the constitutive theory while effectively remedying non-objectivity in localized failure analysis through a Helmholtz-type partial differential equation. Within this regularized framework, a new nonlocal binary-medium constitutive model is developed. It comprises a porous elastic medium governed by Hashin–Shtrikman upper bounds and an elastic–perfectly plastic frictional medium with an innovative yield criterion, homogenized via an extended Mori–Tanaka scheme. Critically, to capture complex breakage modes, the model introduces an equivalent strain measure driven by the Unified Strength Theory. This novel feature enables the model to account for the influences of hydrostatic pressure and the stress Lode angle, which are crucial aspects often overlooked in previous models. Numerical investigations, implemented via a Bubnov–Galerkin scheme, confirm that the gradient-enhanced framework ensures mesh-objective solutions during strain-softening regimes. The model successfully replicates a comprehensive suite of quasibrittle behaviors, including multi-stage stress–strain responses, stiffness degradation, tension-compression asymmetry, and sensitivities to both confining pressure and the Lode angle. This work establishes a theoretically rigorous and computationally robust paradigm for modeling breakage progression, significantly advancing the predictive accuracy for engineering applications involving localized failure and material instability.
为了解决准脆性材料应变软化模拟中固有的病态网格依赖,本文提出了一种新的隐式梯度增强计算框架,用于非局部二元介质模型。核心创新在于梯度增强正则化与支撑二元介质模型的多尺度均匀化理论的协同集成。该方法既保留了本构理论的良好物理基础,又有效地弥补了局部破坏分析中通过亥姆霍兹型偏微分方程进行的非客观性问题。在此正则化框架下,提出了一种新的非局部二元介质本构模型。它包括一个由Hashin-Shtrikman上界控制的多孔弹性介质和一个具有创新屈服准则的弹塑性摩擦介质,通过扩展的Mori-Tanaka方案进行均匀化。关键是,为了捕捉复杂的破坏模式,该模型引入了由统一强度理论驱动的等效应变测量。这一新颖的特征使模型能够考虑静水压力和应力Lode角的影响,这是以前模型中经常忽略的关键方面。通过Bubnov-Galerkin格式实施的数值研究证实,梯度增强框架确保了应变软化过程中的网格目标解。该模型成功地复制了一套全面的准脆性行为,包括多阶段应力-应变响应、刚度退化、拉压不对称以及对围压和Lode角的敏感性。这项工作建立了一个理论上严谨、计算上稳健的断裂过程模型,显著提高了涉及局部破坏和材料不稳定的工程应用的预测精度。
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引用次数: 0
Formulation and implementation of a gradation-state-dependent constitutive model for crushable particles under monotonic proportional loadings 单调比例加载下可破碎颗粒级配本构模型的建立与实现
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-04-01 Epub Date: 2025-12-29 DOI: 10.1016/j.compgeo.2025.107858
Yaolan Tang , Zongce Li , Zhihang Li , Jiarui Chen , Chunshun Zhang , Dapeng Wang
This study presents a gradation-state-dependent constitutive model for crushable granular materials, formulated for monotonic proportional loading, and implements it within a finite-element framework. An improved gradation evolution law is first developed, featuring a simplified mathematical form and a direct parameter-calibration procedure. Next, the Lode-angle dependence of the critical stress ratio is captured via a newly derived g(θ) function, and a refined relation for the critical-state void ratios is introduced accordingly. A closed-form expression for the tensorial tangent stiffness is then derived, and a self-adaptive integration algorithm is incorporated into the UMAT implementation to enhance numerical robustness and computational efficiency. Overall, the proposed model and numerical approach provide a framework for simulating the mechanical behaviour of crushable granular materials, offering potential for further implementation in geotechnical and engineering analyses.
本研究提出了可破碎颗粒材料的梯度状态相关本构模型,为单调比例加载制定,并在有限元框架内实现。提出了一种改进的梯度演化规律,简化了数学形式,采用了直接的参数标定方法。其次,通过新导出的g(θ)函数捕获临界应力比的Lode-angle依赖关系,并相应地引入了临界状态空隙比的精炼关系。推导了张拉切线刚度的封闭表达式,并将自适应积分算法引入到UMAT实现中,以提高数值鲁棒性和计算效率。总的来说,所提出的模型和数值方法为模拟可破碎颗粒材料的力学行为提供了一个框架,为进一步在岩土和工程分析中实施提供了潜力。
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引用次数: 0
Artificial neural network-based surrogate models for predicting multiple seismic slope engineering demand parameters derived from material-point analyses 基于人工神经网络的多地震边坡工程需求参数预测模型
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-04-01 Epub Date: 2026-01-19 DOI: 10.1016/j.compgeo.2026.107928
Haixia Huang , Duruo Huang , Gang Wang
The approaches for developing surrogate models to predict seismic slope permanent displacement have progressed from sliding block analyses to stress-deformation analyses. Stress-deformation analyses in existing models are mostly mesh-based approaches incapable of modeling post-failure large deformation in slopes. This constraint restricts the derivation of typical engineering demand parameters (EDPs), such as run-out distance, influence distance, sliding depth and sliding volume. These EDPs are essential for quantitatively assessing post-failure behavior of slopes. The material point method (MPM) overcomes mesh distortion issues inherent in mesh-based approaches, making it possible to simulate large deformation of geomaterials. In this study, surrogate models for multiple seismic slope EDPs are developed based on material-point analyses. The Mohr-Coulomb model with strain softening is incorporated to simulate the strength loss of loose fills. The effect of strength loss on post-failure behavior of slopes is investigated. Artificial neural networks (ANNs) are then trained using the simulated dataset to establish relationships between slope EDPs and intensity measures. The developed ANN-based surrogate models significantly reduce computational time compared with MPM simulations while satisfying sufficiency and proficiency criteria. They also maintain physical consistency, as evidenced by the predicted shear band depth remaining within the slope height. Therefore, coupling material-point analyses for physics-based data generation with ANNs for surrogate model development provides an efficient and physically consistent framework for evaluating the seismic performance and post-failure behavior of slopes.
开发替代模型预测地震边坡永久位移的方法已经从滑块分析发展到应力变形分析。现有的应力变形分析模型大多是基于网格的方法,无法模拟边坡破坏后的大变形。这一约束限制了典型工程需求参数(edp)的推导,如跳动距离、影响距离、滑动深度和滑动体积。这些edp对于定量评估边坡破坏后的行为至关重要。材料点法(MPM)克服了基于网格的方法固有的网格畸变问题,使模拟岩土材料的大变形成为可能。在本研究中,基于物质点分析,建立了多个地震斜坡edp的代理模型。采用考虑应变软化的Mohr-Coulomb模型模拟松散充填体的强度损失。研究了强度损失对边坡破坏后行为的影响。然后使用模拟数据集训练人工神经网络(ann),以建立斜坡edp与强度测量之间的关系。所开发的基于人工神经网络的代理模型与MPM模拟相比显著减少了计算时间,同时满足充分性和熟练度标准。预测剪切带深度保持在坡高范围内,证明了两者在物理上的一致性。因此,将基于物理的数据生成的物质点分析与用于替代模型开发的人工神经网络相结合,为评估边坡的地震性能和破坏后行为提供了一个有效且物理一致的框架。
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引用次数: 0
Group efficiency and load transfer mechanisms of semi-rigid soil–cement piles: integrated experimental, 3D numerical, and analytical evaluation 半刚性水泥土桩的群效率和荷载传递机制:综合实验、三维数值和分析评价
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-04-01 Epub Date: 2026-01-03 DOI: 10.1016/j.compgeo.2025.107888
Tuan A. Pham , Abdollah Tabaroei , Bayram Ateş , Tan Nguyen
Understanding the group behavior of semi-rigid soil–cement piles remains a major challenge in deep-mixed foundation engineering. Unlike conventional displacement piles, soil–cement columns exhibit transitional stiffness and composite interaction with the surrounding ground, leading to settlement-dependent mechanisms that are not captured by existing group-efficiency approaches. This study integrates rare full-scale load tests, carefully calibrated three-dimensional finite-element analysis (3D FEA), and systematic analytical benchmarking to establish a mechanistic basis for evaluating group efficiency in soil–cement pile groups. Instrumented field tests on single, three-pile, and five-pile groups (S/D = 2) reveal pronounced stress overlap, non-uniform shaft mobilisation, and significant reductions in per-pile capacity. A high-fidelity 3D FEA model, incorporating a physically justified transitional zone and enhanced interface stiffness, reproduces both the load–settlement response and axial force transfer with high accuracy. Parametric analyses over a wide range of spacings and group sizes demonstrate that group efficiency is not a constant parameter but increases with settlement due to progressive mobilisation of shaft resistance and pile–cap–soil interaction. Benchmarking against eight widely used empirical equations confirms that traditional rigid–pile formulations systematically misrepresent the behavior of semi–rigid pile groups. Motivated by these findings, a new settlement–dependent analytical expression for group efficiency is proposed, combining a geometry-based interaction term with a nonlinear mobilisation function. The model reproduces numerical trends with an average error of only 6.8 % and captures the physical behavior observed in both field and numerical results. The study provides a unified, experimentally validated framework for interpreting soil–cement pile group behavior and offers improved guidance for serviceability-based design of deep-mixed foundations.
了解半刚性水泥土桩的群行为仍然是深混地基工程中的一个重大挑战。与传统的位移桩不同,水泥土柱表现出过渡刚度和与周围地面的复合相互作用,导致沉降依赖机制无法被现有的群效率方法所捕获。本研究结合了罕见的全尺寸荷载试验、精心校准的三维有限元分析(3D FEA)和系统的分析基准,为评价水泥土桩群的群效率建立了机制基础。对单桩、三桩和五桩组(S/D = 2)进行的仪器现场测试显示,应力重叠明显,井筒动员不均匀,单桩承载能力显著降低。一个高保真的三维有限元模型,结合了物理合理的过渡区和增强的界面刚度,以高精度再现了载荷-沉降响应和轴向力传递。在大范围的间距和群尺寸上的参数分析表明,群效率不是一个恒定的参数,而是随着沉降的增加而增加,这是由于轴阻力和桩承土相互作用的逐步动员。对八个广泛使用的经验方程的基准测试证实,传统的刚性桩公式系统地歪曲了半刚性桩群的行为。基于这些发现,提出了一种新的依赖于沉降的群体效率解析表达式,将基于几何的相互作用项与非线性动员函数相结合。该模型再现了数值趋势,平均误差仅为6.8%,并捕获了现场和数值结果中观察到的物理行为。该研究为解释水泥土桩群行为提供了一个统一的、经过实验验证的框架,并为深度混合基础的可使用性设计提供了更好的指导。
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引用次数: 0
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Computers and Geotechnics
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