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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 : 2026-01-06 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
An explainable resilience-informed framework for surrogate modeling and multi-objective optimization of embankments under seismic loading 地震荷载下堤防代理建模和多目标优化的可解释的弹性信息框架
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-05 DOI: 10.1016/j.compgeo.2025.107893
Zhijian Qiu , Qiwei Jin , Qingwei Wu , Muhammad Zayed , Ahmed Ebeido , Yewei Zheng
Ensuring seismic resilience of transportation earth structures is critical for maintaining lifeline functionality following major earthquakes, with interpretability and data-driven modeling being key to achieving maximum resilience and rapid demand prediction. This study presents an explainable resilience-informed framework that integrates finite element (FE) simulations, probabilistic demand modeling, and machine learning-based surrogate modeling to rapidly assess and optimize the seismic resilience of earth embankments. Within the framework, FE results from 1,000 embankment configurations subjected to 100 recorded ground motions are employed to train an explainable XGBoost model that accurately captures the nonlinear effects of key parameters on seismic response. In this regard, the trained surrogate model further facilitates efficient derivation of seismic fragility and resilience curves, quantifying both performance degradation and post-earthquake recovery. Consequently, a resilience-informed multi-objective optimization is performed to identify optimal geometric configurations of earth embankments that maximize seismic resilience while minimizing both the lateral and vertical deformations. Representative scenarios show that reducing embankment height and flattening the embankment slope significantly enhance seismic resilience for low-strength materials, minimizing the need for costly reinforcement or material enhancement. Overall, the developed explainable framework provides a transparent, data-driven, and physics-consistent approach for rapid prediction and optimization of equivalent resilient transportation earth structures.
确保运输土方结构的抗震弹性对于在大地震后维持生命线功能至关重要,可解释性和数据驱动建模是实现最大弹性和快速需求预测的关键。本研究提出了一个可解释的弹性信息框架,该框架集成了有限元(FE)模拟、概率需求建模和基于机器学习的代理建模,以快速评估和优化土堤防的地震弹性。在框架内,1000个路堤配置的有限元结果受到100个记录的地面运动的影响,用于训练一个可解释的XGBoost模型,该模型准确地捕捉了关键参数对地震反应的非线性影响。在这方面,训练后的代理模型进一步促进了地震脆弱性和恢复力曲线的有效推导,量化了性能退化和震后恢复。因此,进行了弹性信息的多目标优化,以确定土堤防的最佳几何配置,最大限度地提高地震弹性,同时最小化横向和垂直变形。代表性的场景表明,降低路堤高度和使路堤边坡变平可以显著提高低强度材料的抗震能力,从而最大限度地减少对昂贵的加固或材料增强的需求。总体而言,开发的可解释框架为等效弹性运输土结构的快速预测和优化提供了透明、数据驱动和物理一致的方法。
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引用次数: 0
The role of particle shape in stress transmission and stiffness in gap-graded soils 颗粒形状对间隙级配土应力传递和刚度的影响
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-05 DOI: 10.1016/j.compgeo.2025.107857
Deyun Liu , Jidong Zhao , Shijin Feng , Hao Chen
This study investigates how particle shape governs the mechanical behavior of gap-graded soils, with a focus on stress transmission, small-strain stiffness, and the efficacy of a refined state variable framework. Based on systematic DEM simulations with non-spherical particles, we demonstrate that non-spherical coarse particles significantly enhance the engagement of finer particles in stress transmission, particularly when the fine content is between 15% and 25%. This effect stems from shape-induced changes in packing structure, which alter the void ratio and coordination number. In contrast, the effect of particle shape on small-strain stiffness, while measurable, is quantitatively limited. This is because the stiffness contribution from finer particles remains minor, even when their role in stress transmission is amplified. The refined state variable framework, which account for this enhanced role of fines, was validated and effectively captured the small-strain characteristics of gap-graded soils across all particle shapes. Overall, the observed mechanical trends remain consistent with those from studies using spherical particles, indicating that the underlying mechanisms are robust. These insights improve the understanding of coupled shape–size effects and provide enhanced modeling tools for geotechnical applications such as foundation design and material optimization.
本研究探讨了颗粒形状如何控制间隙梯度土的力学行为,重点关注应力传递、小应变刚度和精炼状态变量框架的有效性。基于非球形颗粒的系统DEM模拟,我们证明了非球形粗颗粒显著增强了细颗粒在应力传递中的参与,特别是当细颗粒含量在15%至25%之间时。这种效应源于填料结构的形状变化,改变了孔隙比和配位数。相反,颗粒形状对小应变刚度的影响虽然可以测量,但在数量上是有限的。这是因为即使细颗粒在应力传递中的作用被放大,它们对刚度的贡献仍然很小。细化的状态变量框架,考虑到这种增强的作用,被验证并有效地捕获了所有颗粒形状的间隙梯度土壤的小应变特征。总的来说,观察到的力学趋势与使用球形颗粒的研究结果保持一致,表明潜在的机制是稳健的。这些见解提高了对耦合形状尺寸效应的理解,并为地基设计和材料优化等岩土工程应用提供了增强的建模工具。
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引用次数: 0
Investigation of pipe–soil interface effects on the stress–deformation behavior of buried high-density polyethylene pipes: full-scale test and analytical solution 管-土界面对埋地高密度聚乙烯管应力-变形特性的影响:全尺寸试验与解析解
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-05 DOI: 10.1016/j.compgeo.2025.107865
Yuchen Zhang , Jianyong Shi , Yu Ping Li , Shi Shu , Xun Wu
Buried high-density polyethylene (HDPE) pipes are widely used in various transportation, municipal, and industrial infrastructures for drainage and utility conveyance. The safe operation of these infrastructures significantly depends on the stress–deformation behavior of buried HDPE pipes. To investigate the effects of the pipe–soil interface on the stress–deformation behavior of buried HDPE pipes and to reveal the interaction mechanism between the HDPE pipe and surrounding backfill, a series of experiments were conducted using a self-developed three-direction loading platform. Additionally, an interface slip monitoring apparatus was designed and utilized during these tests to accurately track the interface failure process under applied vertical pressures. The experimental results indicated two distinct slip behaviors at the pipe–soil interface: an initial sharp increase followed by a gradual, slight increment. Based on the test results and the fundamentals of elasticity, an analytical solution incorporating a pipe–soil slip interface was proposed to better describe the stress–deformation response of buried HDPE pipes. This slip interface, differing from the conventional fully bonded or perfectly smooth assumptions typically adopted in existing analytical models, was demonstrated to yield predictions that closely matched experimental observations, providing a more accurate and realistic representation of the pipe–soil interaction. Through the combined experimental and analytical approaches, the study preliminarily elucidated the interface failure mechanisms and interaction behavior between the pipe and soil, offering recommendations for improving theoretical methods to more accurately predict the stress–deformation behavior of buried HDPE pipes.
埋地高密度聚乙烯(HDPE)管道广泛应用于各种交通、市政和工业基础设施的排水和公用设施输送。这些基础设施的安全运行在很大程度上取决于埋地HDPE管的应力变形行为。为研究管土界面对埋地HDPE管应力变形行为的影响,揭示HDPE管与周围充填体的相互作用机理,采用自行研制的三方向加载平台进行了一系列试验。此外,设计并使用了界面滑移监测装置,以准确跟踪垂直压力作用下的界面破坏过程。试验结果表明,在管道-土界面处有两种明显的滑移行为:先是急剧增加,然后逐渐轻微增加。根据试验结果和弹性力学基本原理,提出了考虑管-土滑移界面的解析解,以更好地描述埋地HDPE管的应力-变形响应。与现有分析模型中通常采用的完全粘合或完全光滑的假设不同,该滑移界面被证明可以产生与实验观察结果密切匹配的预测,为管道-土壤相互作用提供了更准确、更真实的表征。通过实验与分析相结合的方法,初步阐明了埋地HDPE管材的界面破坏机制及与土的相互作用行为,为改进理论方法,更准确地预测埋地HDPE管材的应力变形行为提供了建议。
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引用次数: 0
Hierarchical constitutive modeling of structured clays: Bridging element tests and mechanized tunneling simulations 结构粘土的分层本构模型:桥接单元试验和机械化隧道模拟
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-04 DOI: 10.1016/j.compgeo.2026.107902
Thomas Barciaga , Mahdi Taiebat , Maria Datcheva , Torsten Wichtmann
Mechanized tunneling in natural clays requires accounting for complex soil behavior governed by anisotropy, structure, stress–strain history, and destructuration. This paper develops a hierarchical constitutive modeling framework based on the SANICLAY family within critical state soil mechanics to simulate mechanized tunneling. The framework establishes a clear progression from element-scale model evaluation to boundary-value application, ensuring continuity between constitutive formulation, calibration, and three-dimensional tunnel simulation. Calibration is anchored in well-documented element test datasets and supported by variance-based global sensitivity analysis to identify influential parameters. The resulting calibrated models are then applied in three-dimensional finite element tunneling simulations across normally consolidated and overconsolidated states under both drained and undrained conditions. Results show that destructuration is the dominant mechanism for settlements, most evident in normally consolidated drained cases, while anisotropy and bounding-surface plasticity have more moderate and case-dependent impacts. The tunnel-scale analyses extend the calibrated framework to realistic excavation conditions, maintaining continuity between constitutive formulation and boundary-value response. The study provides practical guidance for model selection and calibration in structured clays, with implications for realistic prediction and the safe design of mechanized tunnels.
在天然粘土中进行机械化隧道掘进需要考虑复杂的土体特性,包括各向异性、结构、应力-应变历史和破坏。基于临界状态土力学SANICLAY族,建立了一种分层本构模型框架,用于模拟机械化隧道开挖过程。该框架建立了从元素尺度模型评估到边界值应用的清晰进展,确保了本构公式、校准和三维隧道模拟之间的连续性。校准是锚定在充分记录的元素测试数据集,并支持基于方差的全局敏感性分析,以确定有影响的参数。然后将校准后的模型应用于排水和不排水条件下正常固结和超固结状态下的三维有限元隧道模拟。结果表明,破坏是沉降的主要机制,在正常固结的排水情况下最为明显,而各向异性和界面塑性的影响较为温和,且与具体情况有关。隧道尺度分析将校准框架扩展到实际开挖条件,保持本构公式和边值响应之间的连续性。该研究为结构粘土模型的选择和标定提供了实用指导,对现实预测和机械化隧道的安全设计具有指导意义。
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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 : 2026-01-03 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
Mitigation of Liquefaction Risk in Layered Soils via Stone Column Drains: Numerical Study and Novel Uncoupled Approach 石柱排水对层状土液化风险的缓解:数值研究和新的非耦合方法
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-03 DOI: 10.1016/j.compgeo.2025.107882
Gabriele Boccieri , Domenico Gaudio , Pedro Arduino , Riccardo Conti
This paper investigates the effectiveness of vertical gravel drains for liquefaction mitigation in stratified soil deposits, emphasising the overlooked hydro-mechanical interaction with adjacent non–liquefiable layers. A comprehensive series of fully coupled 3D finite element analyses was first conducted in the OpenSees framework, modelling a unit cell within an indefinite drain system. Different spacing ratios, soil types, and seismic inputs were examined to provide generality and robustness to the study. The main outcome from the numerical analyses is that gravel drains significantly reduce both the peak excess pore water pressure and the duration of high pore pressures, with the hydraulic conditions imposed by the overlying non-liquefiable layers proving critical, particularly near layer interfaces. To quantify mitigation effectiveness, a new integral, dimensionless parameter was proposed, which conveys both the magnitude and dissipation time of the excess pore water pressures.
As a further outcome, this study extends to axisymmetric conditions a 1D uncoupled approach recently proposed for assessing free–field liquefaction, incorporating improvements to capture non–uniform cyclic loading and frequency variations induced by pore pressure build–up. The methodology couples a nonlinear total stress seismic response analysis with an iterative excess pore pressure computation using the Stockwell transform, implemented via a Finite Difference scheme in Matlab. Successful validation against the benchmark fully coupled 3D analyses proves that the uncoupled approach can be effectively adopted with low computational cost.
本文研究了垂直砾石排水在层状土壤沉积物中缓解液化的有效性,强调了与相邻不可液化层之间被忽视的水-力学相互作用。首先在OpenSees框架中进行了一系列全面的全耦合三维有限元分析,模拟了不确定排水系统中的单元胞。研究了不同的间距比、土壤类型和地震输入,以提供研究的通用性和稳健性。数值分析的主要结果是,砾石排水显著降低了峰值超孔隙水压力和高孔隙压力持续时间,其上覆不可液化层施加的水力条件至关重要,特别是在层界面附近。为了量化缓解效果,提出了一个新的无量纲的积分参数,该参数同时表达了超孔隙水压力的大小和消散时间。作为进一步的研究成果,本研究扩展到轴对称条件下,最近提出了一种用于评估自由场液化的一维非耦合方法,包括捕捉非均匀循环载荷和由孔隙压力积聚引起的频率变化的改进。该方法将非线性总应力地震反应分析与使用Stockwell变换的迭代超孔隙压力计算相结合,并在Matlab中通过有限差分格式实现。通过对基准全耦合三维分析的成功验证,证明了解耦方法可以有效地采用,且计算成本低。
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引用次数: 0
Micromechanical mechanisms of damage evolution and failure transition in sandstone: insights from physically informed digital rock models 砂岩损伤演化和破坏转变的微观力学机制:来自物理信息的数字岩石模型的见解
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-02 DOI: 10.1016/j.compgeo.2025.107892
Jiaxin Feng , Xu Yang , Gao Li , Yi Zhang , Hongtao Li , Mubai Duan
Sandstone is widespread in the upper crust and underpins many subsurface engineering and energy applications. Understanding its deformation and failure under stress conditions therefore remains essential. However, the micromechanical mechanisms governing damage evolution and failure transitions under confining pressure remain poorly understood, largely owing to limited experimental reproducibility and intrinsic sample heterogeneity. Discrete element method (DEM)-based digital rock simulation provides a promising way to interrogate micromechanical damage processes, yet contact-parameter calibration often relies on trial-and-error, yielding non-unique, scenario-specific parameter sets and limiting reproducibility and transferability. This study reconstructs a DEM-based digital rock using the mineralogical and microstructural features of sandstone from the Yanchang Formation in the Ordos Basin. Mineral-scale elastic modulus and fracture toughness were determined through nanoindentation and combined with semi-circular bend simulations of individual mineral phases to calibrate the micromechanical parameters of the digital rock. The calibrated parameters were validated against the Hoek-Brown strength criterion and mechanical responses under varying loading conditions, confirming their robustness and applicability. Using the physically informed calibrated parameter set, we performed pseudo-triaxial compression simulations of sandstone under different confining pressures. Spatiotemporal tracking of microcracks shows that higher confining pressure postpones intergranular tensile cracking and amplifies strain incompatibility at interfaces between soft and stiff minerals, which triggers intragranular tensile cracking inside stiff grains. Force chain analysis indicates a confinement-driven alignment and densification of load paths that homogenizes stress transfer and delays instability. Joint microcrack and acoustic emission statistics document a transition from tensile-dominated failure at low confinement to shear-dominated failure at higher confinement. The physically informed calibrated parameters provide a unified framework for digital rock simulations under similar conditions, demonstrating their potential for capturing the mechanisms of damage evolution and failure in rock under confining pressure constraints.
砂岩广泛存在于地壳上部,是许多地下工程和能源应用的基础。因此,了解其在应力条件下的变形和破坏仍然是必要的。然而,控制围压下损伤演化和破坏转变的微观力学机制仍然知之甚少,这主要是由于有限的实验可重复性和固有的样品异质性。基于离散元方法(DEM)的数字岩石模拟为研究微力学损伤过程提供了一种很有前途的方法,但接触参数校准通常依赖于试错,产生的参数集不独特,且场景特定,限制了可重复性和可转移性。利用鄂尔多斯盆地延长组砂岩的矿物学和微观结构特征,重建了基于dem的数字岩石。通过纳米压痕测定矿物尺度的弹性模量和断裂韧性,并结合单个矿物相的半圆弯曲模拟,标定数字岩石的微观力学参数。根据Hoek-Brown强度准则和不同载荷条件下的力学响应对校准参数进行了验证,验证了其鲁棒性和适用性。利用物理信息校准参数集,我们对不同围压下的砂岩进行了伪三轴压缩模拟。对微裂纹的时空追踪表明,较高的围压延缓了晶间拉伸开裂,放大了软、硬矿物界面处的应变不相容,从而引发了硬颗粒内部的晶内拉伸开裂。力链分析表明,约束驱动的载荷路径对齐和致密化,均匀化应力传递和延迟不稳定性。节理微裂纹和声发射统计数据表明,节理从低约束条件下以拉伸为主的破坏转变为高约束条件下以剪切为主的破坏。物理信息校准参数为类似条件下的数字岩石模拟提供了统一的框架,展示了它们在捕获围压约束下岩石损伤演化和破坏机制方面的潜力。
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引用次数: 0
An improved bond-associated peridynamics for modelling elastoplastic deformation and progressive fracture in geomaterials 用于模拟岩土材料弹塑性变形和渐进断裂的改进粘结相关周动力学
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-02 DOI: 10.1016/j.compgeo.2025.107868
Yixin Li , Zhen-Yu Yin , Luyu Wang , Xueyu Geng
Geomaterials are pressure-dependent and exhibit non-linear elastoplastic deformation and failure behaviours, including strain localisation and complex cracking. To study these phenomena, this paper develops an improved non-ordinary state-based peridynamic (NOSB-PD) framework for simulating the elastoplastic response and progressive failure of geomaterials. A bond-associated (BA) stabilisation approach is incorporated to eliminate zero-energy deformation modes, while a divergence-form peridynamic differential operator (PDDO) is employed to remove residual stresses near boundaries. Using the principle of virtual work, a new equation of motion is derived that naturally incorporates both zero and non-zero traction boundary conditions. Furthermore, a modified staggered algorithm is introduced to mitigate spurious plastic yielding arising from surface effects and inaccuracies in stress history. The improved BA-NOSB-PD framework enables direct implementation of elastoplastic constitutive laws and mixed-mode failure criteria. Model accuracy and convergence performance are verified against analytical solutions. The numerical simulations confirm the model’s capability to capture elastoplastic behaviour, including stress redistribution, shear band development, and plasticity-induced crack propagation. Moreover, the mixed-mode fracture mechanisms arising from different pre-existing fissure configurations are thoroughly analysed. The results demonstrate that the proposed model accurately captures shear band formation and fracture coalescence, exhibiting good numerical stability and convergence. The improved PD model provides a robust and feasible framework for investigating elastoplastic behaviour and the underlying failure mechanisms in geomaterials.
岩土材料具有压力依赖性,并表现出非线性弹塑性变形和破坏行为,包括应变局部化和复杂开裂。为了研究这些现象,本文开发了一种改进的非普通基于状态的周动力学(NOSB-PD)框架,用于模拟岩土材料的弹塑性响应和渐进破坏。采用键相关(BA)稳定方法消除零能量变形模式,采用发散形式的周动力学微分算子(PDDO)消除边界附近的残余应力。利用虚功原理,推导了一个包含零和非零牵引力边界条件的新运动方程。此外,还引入了一种改进的交错算法,以减轻由于表面效应和应力历史不准确引起的伪塑性屈服。改进的BA-NOSB-PD框架可以直接实现弹塑性本构律和混合模式破坏准则。通过解析解验证了模型的精度和收敛性。数值模拟证实了该模型能够捕捉弹塑性行为,包括应力重分布、剪切带发展和塑性诱导裂纹扩展。此外,还深入分析了不同既有裂缝形态导致的混合模式断裂机制。结果表明,该模型能较准确地反映剪切带的形成和裂缝的聚并,具有较好的数值稳定性和收敛性。改进的PD模型为研究岩土材料的弹塑性行为和潜在的破坏机制提供了一个鲁棒和可行的框架。
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引用次数: 0
A coupled strain-damage framework for rock deformation and dynamic damage under cyclic loading based on mesoscale elastoplastic elements 基于细观弹塑性单元的循环加载下岩石变形与动力损伤耦合应变-损伤框架
IF 6.2 1区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2026-01-02 DOI: 10.1016/j.compgeo.2025.107879
Haohao Zhang , Rui Chen , Yazhou Wang , Huijie Bi , Chaojun Fan , Hui Peng
In this study, a coupled strain-damage framework based on mesoscale elastoplastic elements is proposed to numerically investigate rock deformation and dynamic damage (from the initiation of mesoscale damage to macroscopic failure) under cyclic loading. Building on mesoscale elastic-damage mechanics, elements are upgraded to elastoplastic counterparts to capture plastic strain accumulation and strength degradation during deformation. Damage is formulated as a strain- and time-dependent field variable and solved together with the solid-mechanics field through a staggered coupling scheme. The framework is evaluated by cyclic uniaxial compression and cyclic Brazilian splitting tests. The simulations reproduce the complete deformation–failure process and key laboratory-observed features, including hysteresis, irreversible strain growth, and fatigue failure. Quantitative validation shows that key mechanical parameters are reproduced with relative errors below 5% (elastic modulus: 4.6%, UCS: 0.9%, UTS: 0.4%, and failure angle: 3.2%). The results indicate that the ultimate failure strain under cyclic loading is governed by its monotonic counterpart, and they quantify the influences of specimen heterogeneity (homogeneity index m), maximum stress ratio, and loading frequency on fatigue life. The proposed approach provides a physics-grounded and computationally tractable basis for analysing rock fatigue and failure in geoengineering settings subjected to dynamic loading.
本文提出了一种基于细观弹塑性单元的应变-损伤耦合框架,对循环加载下岩石的变形和动态损伤(从细观损伤开始到宏观破坏)进行了数值研究。在中尺度弹性损伤力学的基础上,单元升级为弹塑性对应体,以捕获变形过程中的塑性应变积累和强度退化。将损伤表述为与应变和时间相关的场变量,并通过交错耦合格式与固体力学场一起求解。通过循环单轴压缩和循环巴西劈裂试验对框架进行了评价。模拟再现了完整的变形破坏过程和实验室观察到的关键特征,包括迟滞、不可逆应变增长和疲劳破坏。定量验证表明,关键力学参数的再现相对误差小于5%(弹性模量4.6%,UCS 0.9%, UTS 0.4%,失效角3.2%)。结果表明,循环加载下的极限破坏应变受单调应变控制,并量化了试样非均质性(均匀性指数m)、最大应力比和加载频率对疲劳寿命的影响。所提出的方法为分析地球工程环境下受动载荷影响的岩石疲劳和破坏提供了物理基础和易于计算的基础。
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Computers and Geotechnics
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