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Computational Simulation and Experimental Analysis on Wearing Mechanisms of Gypsum and Concrete Samples in Pin-on-Disk ASTM Abrasion Testing 针盘 ASTM 磨损试验中石膏和混凝土样品磨损机理的计算模拟与实验分析
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-09-26 DOI: 10.1002/nag.3848
Jinwei Fu, Vahab Sarfarazi, Hadi Haeri, Behzad Tolaminejad, Soheil Abharian, Haleh Rasekh, Manoj Khandelwal, Mohammad Fatehi Marji

Mechanical excavation machines, like continuous miners and road headers, have been broadly used in tunneling and underground and surface mines. The disc cutters are seated on the different cutter heads’ to cut different parts of the tunnel face. With the increase in the cutters’ size and power, the cutting disc cutters’ capacity has been extended to cut moderate and tough rock types. This experimental and numerical research includes the application of, “Pin-on-Disk” ASTM abrasion testing, in which the failure mechanism of an interface between both the rock-like samples and (WC–Co) tungsten carbide has been investigated under different confining pressures. The research aims to investigate the wear mechanism of gypsum and concrete samples. The Particle Flow Code in three dimensions (PFC3D) was used for test simulations concurrently with the experimental setup. A drilling pin with a diameter of 0.4 m was positioned above the model. The pin was inserted into the model at speeds of 0.01 mm/s at depths of 1, 3, and 5 m. A total of nine lab tests were conducted. The tensile strength of the material was 2.5 MPa. The results show that the values of volume lost for the gypsum and concrete discs were detected as a function of sliding length, fitting to non-linear behavior. The wearing depth increased by increasing the loading force. Under constant loading force, the gypsum sample wears more than the concrete sample because gypsum is less strong than concrete. The PFC generates useful findings that experimental tests cannot provide.

机械挖掘机,如连续采矿机和掘进机,已广泛应用于隧道、地下和地面矿山。圆盘铣挖机安装在不同的铣挖头上,用于铣挖隧道工作面的不同部分。随着铣挖机尺寸和功率的增加,圆盘铣挖机的铣挖能力已扩展到铣挖中等和坚硬的岩石类型。这项实验和数值研究包括应用 "盘上针 "ASTM 磨损试验,研究了在不同的约束压力下,类岩石样本和(WC-Co)硬质合金之间界面的破坏机制。该研究旨在调查石膏和混凝土样品的磨损机制。在实验设置的同时,还使用了三维粒子流代码(PFC3D)进行测试模拟。直径为 0.4 米的钻针被放置在模型上方。钻针以 0.01 毫米/秒的速度插入模型,深度分别为 1 米、3 米和 5 米。材料的拉伸强度为 2.5 兆帕。结果表明,石膏和混凝土圆盘的体积损失值是滑动长度的函数,符合非线性行为。磨损深度随着加载力的增加而增加。在恒定加载力下,石膏样品的磨损程度大于混凝土样品,因为石膏的强度低于混凝土。PFC 得出了实验测试无法提供的有用结论。
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引用次数: 0
A Spring Model for Pullout Behavior of Curved, Flexible Structures Embedded in Soil 嵌入土中的弯曲柔性结构的拉拔行为弹簧模型
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-09-26 DOI: 10.1002/nag.3845
Matthew Burrall, Jason T. DeJong, Alejandro Martinez, Tae-Hyuk Kwon

The shape and flexibility of embedded structures, such as tree roots, piles, and anchors, have important impacts on the pullout behavior. However, the rate and manner of mobilization of soil resistances along such structures has not been rigorously explored across a wide range of shapes and structural properties. A spring model for computing compatible displacements of the structure and soil for curved, flexible structures is defined, validated against commonly used methods for computing pile pullout behavior, and then parametrically explored to demonstrate how resistances are mobilized along the length of such structures. The present model allows description of combined axial and transverse loading of these nonlinear structures. The simulation results for the case of normally consolidated clay show that the curvature of a structure causes the distribution of bearing resistance to extend further along the structure than for linear cases. The requirement of equilibrium of the structure produces a coupling between the mobilized bearing and tensile resistance in terms of rate of development and magnitude. Thus, the choices of structure shape impact the magnitude and distribution of mobilized resistance of embedded flexible structures. Implications for anchorage of tree root structures and principles of bioinspired design of anchorage systems are discussed.

树根、桩和锚等嵌入结构的形状和柔韧性对拉拔行为有重要影响。然而,对于土壤阻力沿此类结构的移动速度和方式,还没有针对各种形状和结构特性进行过严格的探讨。本研究定义了一个弹簧模型,用于计算弯曲、柔性结构的结构和土壤的兼容位移,并与计算桩基拔出行为的常用方法进行了验证,然后通过参数化探索来证明阻力是如何沿此类结构的长度方向被调动的。本模型可用于描述这些非线性结构的轴向和横向组合荷载。对正常固结粘土的模拟结果表明,与线性情况相比,结构的曲率会导致承载阻力沿结构的分布进一步扩大。结构平衡的要求使得动员的承载力和拉伸阻力在发展速度和大小方面产生耦合。因此,结构形状的选择会影响嵌入式柔性结构的动员阻力的大小和分布。本文讨论了树根结构锚固的影响以及锚固系统的生物启发设计原则。
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引用次数: 0
Prediction of Backward Erosion, Pipe Formation and Induced Failure Using a Multi-Physics SPH Computational Framework 利用多物理场 SPH 计算框架预测后向侵蚀、管道形成和诱发故障
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-09-24 DOI: 10.1002/nag.3847
Guodong Ma, Ha H. Bui, Yanjian Lian, Tien V. Nguyen, Giang D. Nguyen

Seepage-induced backward erosion is a complex and significant issue in geotechnical engineering that threatens the stability of infrastructure. Numerical prediction of the full development of backward erosion, pipe formation and induced failure remains challenging. For the first time, this study addresses this issue by modifying a recently developed five-phase smoothed particle hydrodynamics (SPH) erosion framework. Full development of backward erosion was subsequently analysed in a rigid flume test and a field-scale backward erosion-induced levee failure test. The seepage and erosion analysis provided results consistent with experimental data, including pore water pressure evolution, pipe length and water flux at the exit, demonstrating the good performance of the proposed numerical approach. Key factors influencing backward erosion, such as anisotropic flow and critical hydraulic gradient, are also investigated through a parametric study conducted with the rigid flume test. The results provide a better understanding of the mechanism of backward erosion, pipe formation and the induced post-failure process.

渗流引起的逆向侵蚀是岩土工程中一个复杂而重要的问题,威胁着基础设施的稳定性。对反向侵蚀、管道形成和诱发破坏的整个发展过程进行数值预测仍然具有挑战性。本研究首次通过修改最近开发的五相平滑粒子流体力学(SPH)侵蚀框架来解决这一问题。随后,在刚性水槽试验和实地规模的逆向侵蚀诱发堤坝溃决试验中对逆向侵蚀的全面发展进行了分析。渗流和侵蚀分析的结果与实验数据一致,包括孔隙水压力演变、管道长度和出口处的水通量,证明了所提出的数值方法的良好性能。此外,还通过刚性水槽试验进行了参数研究,探讨了影响反向侵蚀的关键因素,如各向异性流和临界水力梯度。研究结果有助于更好地理解逆向侵蚀、管道形成和诱导破坏后过程的机理。
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引用次数: 0
Investigation of Suffusion Under Torsional Shear Conditions With CFD-DEM 利用 CFD-DEM 研究扭转剪切条件下的渗流问题
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-09-24 DOI: 10.1002/nag.3844
Shun-Xiang Song, Zhen-Yu Yin, Ya-Jing Liu, Pei Wang, Yi-Pik Cheng

This study investigates, for the first time ever, the suffusion on gap-graded granular soils under torsional shear conditions from a microscopic perspective. A numerical model of the hollow cylinder torsional shear test (HCTST) using the discrete element method (DEM) is first developed, where an algorithm for simulating the real inner and outer rubber membranes of the hollow cylinder apparatus (HCA) is introduced. After the validation, the computational fluid dynamics (CFD) approach is introduced for the coupling between the particle and fluid phases. Then, a series of the coupled CFD-DEM suffusion simulations considering the rotation of the major principal stress axis (α) and intermediate principal stress ratio (b) are conducted. It is found that more fine particles are eroded in cases having smaller α and b, and the clogging phenomenon in the middle zones becomes more significant as both α and b increase. From the microscopic perspective, the specimens whose contact anisotropy principal direction is close to the fluid direction will lose more fines, and the anisotropy magnitude also plays an important role. In addition, the differences in structure and vertical connectivity of the pores in HCTST samples under various complex loading conditions cause fine particles to have different migration paths, further resulting in different fines mass loss.

本研究首次从微观角度研究了扭剪条件下间隙级配粒状土的窒息现象。首先利用离散元素法(DEM)建立了空心圆柱体扭转剪切试验(HCTST)的数值模型,其中引入了模拟空心圆柱体装置(HCA)真实内外橡胶膜的算法。经过验证后,引入了计算流体动力学(CFD)方法,用于粒子和流体相之间的耦合。然后,考虑到主要主应力轴(α)和中间主应力比(b)的旋转,进行了一系列 CFD-DEM 耦合窒息模拟。结果发现,在 α 和 b 较小的情况下,更多的细颗粒被侵蚀,而且随着 α 和 b 的增大,中间区域的堵塞现象变得更加明显。从微观角度来看,接触各向异性主方向与流体方向接近的试样会损失更多细粒,各向异性的大小也起着重要作用。此外,在各种复杂的加载条件下,HCTST 样品孔隙结构和垂直连通性的不同会导致细颗粒迁移路径的不同,从而进一步造成不同的细颗粒质量损失。
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引用次数: 0
Evaluation of Soil–Structure Interface Models Considering Cyclic Loading Effect 考虑循环荷载效应的土与结构界面模型评估
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-09-24 DOI: 10.1002/nag.3831
Hai-Lin Wang, Zhen-Yu Yin, Xiao-Qiang Gu, Yin-Fu Jin

The simulation of the soil–structure interface (SSI) under cyclic loading is critically important in geotechnical engineering. Numerous studies have been conducted to explore the cyclic behaviors exhibited at the SSI. However, existing model evaluations primarily rely on direct comparisons between experiments and simulations, with limited analysis focused on specific behaviors like accumulated normal displacement and stress degradation under cyclic loading. This study proposes and adapts six SSI models, including three nonlinear incremental models and three elastoplastic models. These models incorporate nonlinear shear modulus, critical state theory, and particle breakage effects to enhance their capability to capture SSI behaviors. Utilizing optimization-based calibration for a fair comparison, the model parameters are fine-tuned based on the experimental data. Comprehensive assessments including global comparisons and specific behaviors like accumulated normal displacement and stress degradation are carried out to evaluate the models' performance. The results indicate that all models effectively replicate the typical behaviors of SSI systems. By incorporating the particle breakage effect, the models can represent both the reversible and irreversible normal displacements under cyclic loading with better performance. The irreversible normal displacement remains stable and is solely influenced by the soil properties rather than the stress level. Moreover, the models successfully capture the stress degradation under constant normal stiffness caused by the irreversible normal displacement.

在岩土工程中,模拟循环荷载下的土壤-结构界面(SSI)至关重要。为探索 SSI 的循环行为,已经开展了大量研究。然而,现有的模型评估主要依赖于实验和模拟之间的直接比较,对循环荷载下累积法向位移和应力退化等特定行为的分析有限。本研究提出并调整了六个 SSI 模型,包括三个非线性增量模型和三个弹塑性模型。这些模型结合了非线性剪切模量、临界状态理论和颗粒断裂效应,以增强其捕捉 SSI 行为的能力。利用基于优化的校准进行公平比较,根据实验数据对模型参数进行微调。为了评估模型的性能,还进行了包括全局比较和累积法向位移和应力退化等特定行为在内的综合评估。结果表明,所有模型都有效地复制了 SSI 系统的典型行为。通过加入颗粒断裂效应,这些模型可以更好地表示循环加载下的可逆和不可逆法向位移。不可逆法向位移保持稳定,只受土壤性质而非应力水平的影响。此外,模型还成功地捕捉到了由不可逆法向位移引起的法向刚度恒定条件下的应力衰减。
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引用次数: 0
Novel Simplified Practical Method for One-Dimensional Large-Strain Consolidation 一维大应变固结的新型简化实用方法
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-09-23 DOI: 10.1002/nag.3843
Ding-Bao Song, Peng-Lin Li, Zhen-Yu Yin, Jian-Hua Yin

A new simplified practical method for one-dimensional nonlinear large-strain consolidation of saturated homogenous soils is proposed. The derivation processes of the proposed method are introduced first, with a modification of Terzaghi's theory from a novel perspective to solve large-strain consolidation problems. Verification checks of the proposed method with other solutions are then conducted. The proposed method is different from Lekha's solution because Lekha's analytical solution is based on the small strain theory. For linear consolidation, the proposed method shows excellent agreement with the Consolidation Settlement 2 (CS2) model. For nonlinear large-strain consolidation, the new method is in good agreement with the CS2 model when Cc/Ck ≤ 1. After that, optimization of the proposed nonlinear solution is carried out for Cc/Ck > 1 with a more precise average constant coefficient of consolidation used in the simplified practical method, and good agreement is obtained between the solutions from the proposed method and the CS2 model. Overall, the proposed simplified method provides practical, reliable, and efficient solutions for analyzing linear and nonlinear large-strain consolidation.

针对饱和均质土的一维非线性大应变固结问题,提出了一种新的简化实用方法。首先介绍了所提方法的推导过程,从解决大应变固结问题的新角度对 Terzaghi 理论进行了修正。然后对提出的方法与其他解决方案进行了验证检查。提出的方法与 Lekha 的解决方案不同,因为 Lekha 的分析解决方案基于小应变理论。对于线性固结,建议的方法与固结沉降 2(CS2)模型显示出极好的一致性。对于非线性大应变固结,当 Cc/Ck ≤ 1 时,新方法与 CS2 模型非常一致。随后,在 Cc/Ck > 1 的条件下,使用简化实用方法中更精确的平均固结常数系数对所提出的非线性解法进行了优化,结果发现所提出方法的解法与 CS2 模型之间具有良好的一致性。总之,所提出的简化方法为分析线性和非线性大应变固结提供了实用、可靠和高效的解决方案。
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引用次数: 0
Analytical Solution to Estimate the Effect of Underlying Tunnel Excavations on the Existing Tunnel 估算地下隧道挖掘对现有隧道影响的分析方案
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-09-19 DOI: 10.1002/nag.3836
Guohui Feng, Zhi Ding, Changjie Xu, Luju Liang, Shangqi Ge, Xiaozhen Fan, Kaifang Yang, Gang Wei

The tunneling underlying inevitably leads to the displacement of adjacent soil, greatly influencing the deformation of the tunnel above. Most theoretical studies primarily concentrate on analyzing the mechanical equilibrium of individual tunnel sections, ignoring the energy generated by the system during tunnel deformation. Based on this, in view of the energy relationship, the overlying tunnel's deformation is simulated by using the Rayleigh–Ritz method. Further, its potential energy equation can be established based on the Vlasov foundation. The corresponding energy variational solution is solved according to the minimum potential energy principle, leading to an analytical solution for the shield tunneling-induced overlying tunnel's response. The efficacy of the suggested method is verified by contrasting it with centrifuge experiments and field case studies derived from prior studies. Relative to the Winkler foundation model, which deviated from the suggested approach, the results derived from the suggested method show a closer correlation with the collected measurement data. Further parameter studies show that the vertical clearance and skew angle between two tunnels, the volume loss rate, and elastic modulus are significant factors affecting the tunnel behaviors due to tunneling underneath. The suggested theoretical model can be applied to forecast potential risks that an existing tunnel may encounter during the excavation of a new tunnel underlying in similar engineering projects.

下穿隧道不可避免地会导致邻近土体的位移,从而极大地影响上穿隧道的变形。大多数理论研究主要集中于分析单个隧道断面的力学平衡,而忽略了隧道变形过程中系统产生的能量。在此基础上,考虑到能量关系,采用 Rayleigh-Ritz 方法模拟上覆隧道的变形。此外,还可以根据弗拉索夫基础建立其势能方程。根据最小势能原理求解相应的能量变量解,从而得到盾构隧道诱导上覆隧道响应的解析解。通过与离心机实验和先前研究得出的现场案例研究进行对比,验证了所建议方法的有效性。温克勒地基模型偏离了建议的方法,与之相比,建议方法得出的结果与收集到的测量数据更接近。进一步的参数研究表明,两个隧道之间的垂直间隙和倾斜角、体积损失率和弹性模量是影响隧道下穿行为的重要因素。所建议的理论模型可用于预测现有隧道在类似工程项目中挖掘新隧道时可能遇到的潜在风险。
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引用次数: 0
Enhanced Hybrid Algorithms for Segmentation and Reconstruction of Granular Grains From X-Ray Micro Computed-Tomography Images 从 X 射线显微计算机断层成像图像分割和重建颗粒的增强型混合算法
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-09-19 DOI: 10.1002/nag.3832
Ruidong Li, Pin Zhang, Zhen-Yu Yin, Brian Sheil

Accurate three-dimensional (3D) reconstruction of granular grains from x-ray micro-computed tomography (µCT) images is a long-standing challenge, particularly for dense soil samples. This study develops a machine learning (ML) enhanced approach to automatically reconstruct granular grains from µCT images. The novel academic contributions of this paper include (a) a hierarchical strategy based on parameter-independent polygonal approximation, area, and concavity analysis, for the first time, to identify and eliminate both intergranular and intragranular voids; (b) incorporation of a recursive segmentation scheme and ML-based grain classifier to avoid over-segmentation; (c) novel modifications on the determination of splitting paths to enhance segmentation accuracy; and (d) an effective approach of assigning initial level set functions for reconstructing granular grains automatically. The hybrid ML algorithm is applied to µCT images of dense Mojave Mars Simulant. The results indicate that the proposed method can accurately segment grain clumps with unclear boundaries. The new automatic reconstruction algorithm eliminates ineffective operations and achieves a three-fold increase in computational speed than previous methods documented in the literature. Ninety-one percent of grains with distinct boundaries can be reconstructed and the reconstruction ratio reaches 81% even for grains without distinct boundaries. The overall reconstruction ratio of grains increases by 20% compared with previous methods, achieving a step-change improvement for one-to-one mapping of real soil samples.

从 X 射线显微计算机断层扫描(µCT)图像中准确重建粒状颗粒的三维(3D)图像是一项长期存在的挑战,尤其是对于致密土壤样本而言。本研究开发了一种机器学习(ML)增强型方法,可从 µCT 图像中自动重建粒状颗粒。本文的新颖学术贡献包括:(a) 基于参数无关的多边形近似、面积和凹度分析的分层策略,首次识别并消除了粒间空洞和粒内空洞;(b) 加入递归分割方案和基于 ML 的颗粒分类器,以避免过度分割;(c) 对分割路径的确定进行了新的修改,以提高分割精度;以及 (d) 为自动重建颗粒而分配初始水平集函数的有效方法。混合 ML 算法应用于高密度莫哈韦火星模拟的 µCT 图像。结果表明,所提出的方法可以准确地分割边界不清晰的颗粒团块。新的自动重建算法消除了无效操作,计算速度比文献记载的以前的方法提高了三倍。91%有明显边界的晶粒可以被重建,即使是没有明显边界的晶粒,重建率也达到了 81%。与之前的方法相比,谷粒的总体重建率提高了 20%,在真实土壤样本的一对一映射方面实现了质的飞跃。
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引用次数: 0
A Stress-Driven Double-Phase–Field Framework for Tensile Fracturing Processes in Transversely Isotropic Rocks 横向各向同性岩石拉伸压裂过程的应力驱动双相场框架
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-09-19 DOI: 10.1002/nag.3830
Weihong Yuan, Yang Zhao, Bingyin Zhang

We present a double-phase–field framework for tensile fracturing processes in transversely isotropic rocks. Two distinct phase-field variables are introduced to represent smeared approximations of tensile fractures along the weak bedding planes and through the anisotropic rock matrix, respectively. Driving forces that control fracture propagation in the phase-field framework are constructed as a stress-based formula with a recently developed tensile failure criterion that distinguishes the two failure modes in transversely isotropic rocks. For numerical implementation, we adopt a staggered integration scheme and decouple the governing equations so that the displacement field and phase-field variables can be updated in sequence for a given loading step. The finite element formulation of the proposed framework is introduced in detail in this paper and is implemented in an in-house finite element code. The numerical implementation is then validated by reproducing the uniaxial tension test results of Lyons sandstone. After that, we conduct simulations on a pre-notched square plate loaded in tension to demonstrate the features of the proposed framework. Finally, we conduct simulations of three-point bending tests of Pengshui shale and show that the proposed model can reproduce the force–displacement curves and failure patterns of specimens with different bedding plane orientations observed in laboratory experiments.

我们提出了横向各向同性岩石拉伸断裂过程的双相场框架。我们引入了两个不同的相场变量,分别代表沿弱基底面和穿过各向异性岩石基质的拉伸断裂的涂抹近似值。相场框架中控制断裂扩展的驱动力被构建为一个基于应力的公式,该公式采用了最新开发的拉伸破坏准则,可区分横向各向同性岩石中的两种破坏模式。在数值实现方面,我们采用了交错积分方案,并将控制方程解耦,从而可以在给定加载步骤中依次更新位移场和相场变量。本文详细介绍了拟议框架的有限元公式,并在内部有限元代码中实施。然后,通过再现里昂砂岩的单轴拉伸试验结果,对数值实现进行了验证。之后,我们对一块预缺口方形板进行了模拟拉伸加载,以展示所提框架的特点。最后,我们对彭水页岩的三点弯曲试验进行了模拟,结果表明所提出的模型可以再现实验室实验中观察到的不同基底面方向试样的力-位移曲线和破坏模式。
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引用次数: 0
Semi-Analytical Solution for One-Dimensional Nonlinear Consolidation of Multilayered Soil Considering Self-Weight and Boundary Time Effect 考虑自重和边界时间效应的多层土一维非线性固结的半解析解
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-09-19 DOI: 10.1002/nag.3839
Mengfan Zong, Jing Zhang, Wenbing Wu, Ziye Yu, Yi Zhang, Guoxiong Mei

The self-weight stress in multilayered soil varies with depth, and traditional consolidation research seldom takes into account the actual distribution of self-weight stress, resulting in inaccurate calculations of soil consolidation and settlement. This paper presents a semi-analytical solution for the one-dimensional nonlinear consolidation of multilayered soil, considering self-weight, time-dependent loading, and boundary time effect. The validity of the proposed solution is confirmed through comparison with existing analytical solutions and finite difference solution. Based on the proposed semi-analytical solution, this study investigates the influence of self-weight, interface parameter, soil properties, and nonlinear parameters on the consolidation characteristics of multilayered soil. The results indicate that factoring in the true distribution of self-weight leads to a faster dissipation rate of excess pore water pressure and larger settlement and settlement rate, compared to not considering self-weight. Both boundary drainage performance and soil nonlinearity have an impact on consolidation. If the boundary drainage capacity is inadequate, the influence of soil nonlinearity on consolidation diminishes.

多层土中的自重应力随深度变化而变化,传统的固结研究很少考虑自重应力的实际分布,导致土壤固结和沉降计算不准确。本文提出了多层土一维非线性固结的半解析解,考虑了自重、随时间变化的荷载和边界时间效应。通过与现有的分析解法和有限差分解法进行比较,证实了所提解法的有效性。基于所提出的半解析解,本研究探讨了自重、界面参数、土壤特性和非线性参数对多层土壤固结特性的影响。结果表明,与不考虑自重相比,考虑自重的真实分布会导致过剩孔隙水压力消散速度加快,沉降量和沉降速度增大。边界排水性能和土壤非线性对固结都有影响。如果边界排水能力不足,土壤非线性对固结的影响就会减弱。
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引用次数: 0
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International Journal for Numerical and Analytical Methods in Geomechanics
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