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Investigation of the Impact Response of Bi-Continuous Nanoporous Solids via the Material Point Method: Verification Against Molecular Dynamics Predictions 材料点法研究双连续纳米多孔固体的冲击响应:对分子动力学预测的验证
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-12-24 DOI: 10.1002/nag.3925
Yu-Chen Su, Mohammed H. Saffarini, Tommy Sewell, Zhen Chen

Molecular dynamics (MD) and the material point method (MPM) are both particle methods in spatial discretization. Molecular dynamics is a discrete particle method that is widely applied to predict fundamental physical properties and dynamic materials behaviors at nanoscale. The MPM is a continuum-based particle method that was proposed about three decades ago to simulate large-deformation problems involving multiphase interaction and failure evolution beyond the nanoscale. However, it is still a challenging task to validate MD responses against the experimental data due to the spatial limitation in impact and/or shock tests. The objective of this investigation is therefore to compare the MPM and MD solutions for the impact responses of porous solids at nanoscale. Since the governing equations for MD and explicit MPM are similar in temporal domain with different spatial discretization schemes, the MPM solutions could be verified against the MD ones, and the MD solutions might then be indirectly validated against the MPM ones as validated beyond the nanoscale. Since both MD forcing functions and MPM constitutive modeling are well-formulated for metallic solids, we report a comprehensive comparative study of 40×40×40nm$40 times 40 times 40 {mathrm{nm}}$ porous and non-porous gold cubic targets impacted by full density non-porous gold cubic flyers using the MPM and MD, respectively. The overall deformation patterns and particle-velocity histories are demonstrated and analyzed, as obtained with the two particle methods. It appears that the MD and MPM solutions are consistent in capturing the physical responses, which shows the potential of using the MPM for multiscale simulations of extreme events involving porous solids, such as underground penetration and space exploration. In addition, MD solutions might be indirectly validated against the MPM ones for evaluating geological responses to extreme loadings, which provides an alternative route for multiscale verification and validation.

分子动力学(MD)和物质点法(MPM)都是空间离散的粒子方法。分子动力学是一种离散粒子方法,广泛应用于预测纳米尺度下材料的基本物理性质和动态行为。MPM是一种基于连续介质的颗粒方法,大约在三十年前提出,用于模拟涉及多相相互作用和纳米尺度以外的破坏演化的大变形问题。然而,由于碰撞和/或冲击试验的空间限制,根据实验数据验证MD响应仍然是一项具有挑战性的任务。因此,本研究的目的是比较多孔固体在纳米尺度上的冲击响应的MPM和MD溶液。由于MD和显式MPM的控制方程在时域上是相似的,但不同的空间离散化方案,因此MPM解可以与MD解进行验证,而MD解可以间接地与MPM解进行验证,从而超越纳米尺度。由于MD强迫函数和MPM本构模型都可以很好地描述金属固体,我们报告了一项全面的比较研究,分别使用MPM和MD对多孔和非多孔金立方靶进行了全密度非多孔金立方靶的影响。整体变形模式和粒子速度的历史证明和分析,得到了两种粒子方法。MD和MPM解决方案在捕获物理响应方面是一致的,这表明MPM在涉及多孔固体的极端事件的多尺度模拟中具有潜力,例如地下渗透和空间探索。此外,MD解决方案可以与MPM解决方案间接验证,以评估极端载荷下的地质响应,这为多尺度验证和验证提供了另一种途径。
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引用次数: 0
Improved Fictitious Soil Pile Model for Simulating the Base Soil Under the High-Strain Condition 高应变条件下模拟地基土的改进虚拟桩模型
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-12-24 DOI: 10.1002/nag.3926
Chengjun Guan, Minjie Wen, Yiming Zhang, Pan Ding, Menghuan Chen, Haofeng Dai, Qingping Yang, Yuan Tu

The dynamic pile-soil interaction significantly affects the accuracy of pile vibration response analysis. However, currently, there is no well-established method for simulating pile toe soil under high-strain dynamic loading (HSDL), which presents a major challenge for pile driving analysis. This paper proposes a fictitious soil pile model to simulate reactions and stress wave propagation in the base soil under HSDL. The pile toe soil was regarded as a fictitious soil pile extending downward to the bedrock at a certain cone angle, considering the non-linear soil stiffness, radiation damping, and hysteretic damping. The solution of the soil responses was given by differential iterative method combined with MTLAB programming. The model's accuracy was validated against a three-dimensional (3D) finite element model and the Smith model. Sensitivity analysis was performed on parameters such as discreteness, time interval, cone angle, and non-linear stiffness. The model shows advantages in simulating stress wave propagation in pile toe soil under HSDL, with attenuation rates decreasing with depth and wave speeds stabilizing after an initial decrease. The soil elastic modulus, pile diameter, cone angle, and impact loads influence the attenuation rate, while only the elastic modulus significantly affects wave speed. The results could be helpful for the simulation of the pile toe soil under HSDL and the study of the attenuation of stress waves in the soil.

桩土动力相互作用对桩振动响应分析的准确性有重要影响。然而,目前还没有很好的方法来模拟高应变动荷载(HSDL)下的桩趾土,这对桩身分析提出了重大挑战。本文提出了一种虚拟土桩模型,用于模拟高速公路荷载作用下地基土的反作用力和应力波传播。考虑土体的非线性刚度、辐射阻尼和滞回阻尼,将桩脚土视为沿一定锥角向下延伸至基岩的虚拟土桩。采用微分迭代法结合MTLAB规划给出了土体响应的解。通过三维有限元模型和Smith模型验证了该模型的准确性。对离散度、时间间隔、锥角和非线性刚度等参数进行敏感性分析。该模型具有较好的模拟应力波在HSDL作用下桩尖土中的传播效果,衰减速率随深度的增加而减小,波速在初始减小后趋于稳定。土弹性模量、桩径、锥角和冲击荷载对衰减速率有影响,只有弹性模量对波速有显著影响。研究结果可为高强度荷载作用下桩尖土的模拟及应力波在土中的衰减研究提供参考。
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引用次数: 0
Enriched EFG Method for Hydraulic Fracture Modeling in Multiphase Porous Media 多相多孔介质水力裂缝建模的富EFG方法
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-12-20 DOI: 10.1002/nag.3919
Hasan Ghasemzadeh, Mohammad Ali Iranmanesh, Behnam Bagheri Charmkhoran

The numerical investigation in this study focuses on the propagation of hydraulically driven fractures in deformable porous media containing two fluid phases. The fully coupled hydro-mechanical governing equations are discretized and solved using the extended element-free Galerkin method. The wetting fluid is injected into the initial crack. The pores are filled with both wetting and non-wetting fluid phases. Essential boundary conditions are enforced using the penalty method. To model the discontinuities in field variables, the extrinsic enrichment strategy is employed. Ridge and Heaviside enrichment functions are utilized to introduce weak and strong discontinuities, respectively. The nonlinear behavior in front of the crack tip is defined by means of a cohesive crack model. Continuity equations for wetting and non-wetting fluids through the fracture domain are expressed using Darcy's law and cubic law. The coupling terms of fluids are considered in accordance with their mass transfer among the crack and the surrounding domain, simulating the fluid leak-off phenomenon and the fluid lag zone. The results demonstrate the success of the proposed numerical framework in simulating the intricate aspects of the hydraulic fracturing process. Sensitivity analysis is performed with varying domain permeabilities and wetting fluid viscosities to elucidate their effects on different aspects of hydraulic fracture.

本文的数值研究重点是在含两相流体的可变形多孔介质中水力驱动裂缝的扩展。采用扩展的无单元伽辽金方法对完全耦合的水力控制方程进行离散化和求解。在初始裂缝中注入润湿液。孔隙充满了湿润和非湿润流体相。必要的边界条件是用惩罚方法强制执行的。为了模拟场变量的不连续,采用了外在富集策略。利用Ridge和Heaviside富集函数分别引入弱不连续面和强不连续面。采用内聚裂纹模型定义了裂纹尖端前的非线性行为。用达西定律和三次定律表示了裂缝域中润湿流体和非润湿流体的连续性方程。根据流体在裂纹和周围区域之间的传质考虑流体的耦合项,模拟流体泄漏现象和流体滞后区。结果表明,所提出的数值框架在模拟水力压裂过程的复杂方面是成功的。通过对不同区域渗透率和润湿液粘度的敏感性分析,阐明了它们对水力压裂不同方面的影响。
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引用次数: 0
A Multi-Zone Axisymmetric Model for Consolidation of Saturated Soils Improved by PVTD With Interfacial Thermal Resistance 考虑界面热阻的PVTD改进饱和土固结多区轴对称模型
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-12-19 DOI: 10.1002/nag.3922
Kejie Tang, Minjie Wen, Yi Tian, Xingyi Zhu, Wenbing Wu, Yiming Zhang, Guoxiong Mei, Pan Ding, Yuan Tu, Anyuan Sun, Kaifu Liu

During the process of treating soft soil foundations with prefabricated drainage drains (PVD), “soil columns” form around the PVD, and a “weak zone” forms outside the range of the “soil columns.” The difference in properties between the two forms a distinct interface, leading to a gradual decrease in drainage efficiency and obstruction of vertical drainage channels, which in turn causes cracks and lateral displacement in the soil during consolidation. The interfaces between adjacent soil layers are incomplete contact, and the water within the interstices impedes the transfer of heat, manifesting a thermal resistance effect. To address this phenomenon, a synchronous measurement system for the thermal gradient and the heat flux density between the soil interfaces has been developed. Applying Fourier's law of heat conduction, the thermal resistance coefficient has been determined. Based on the theory of thermo-hydro-mechanical coupling, a multi-zone axisymmetric model for saturated soils that considers thermal resistance effect has been proposed. Semi-analytical solutions were derived and validated through comparison with the custom FEM model and field experiments. The thermal consolidation characteristics of the multi-zone soils under various thermal contact models have also been discussed, with a comprehensive analysis of the influence of different parameters. Outcomes show that: the generalized incomplete thermal contact model provides a better description of the thermal resistance phenomenon between multi-zone soils interfaces; ignoring the thermal resistance effect leads to an overestimation of the deformation during the thermal consolidation, and, the thermal resistance effect decreases the influence of the thermo-osmosis effect on the consolidation characteristics.

在预制排水渠处理软土地基的过程中,在预制排水渠周围形成“土柱”,在“土柱”范围外形成“弱区”。两者性质的差异形成了明显的界面,导致排水效率逐渐降低,竖向排水通道受阻,从而导致固结过程中土体出现裂缝和侧向位移。相邻土层之间的界面是不完全接触的,间隙内的水阻碍了热量的传递,表现为热阻效应。为了解决这一现象,开发了一种土壤界面间热梯度和热流密度的同步测量系统。应用傅立叶热传导定律,确定了热阻系数。基于热-水-力耦合理论,提出了考虑热阻效应的饱和土多区轴对称模型。推导了半解析解,并通过与定制有限元模型和现场实验的比较验证了其正确性。讨论了不同热接触模式下多区土的热固结特性,并综合分析了不同参数对多区土热固结特性的影响。结果表明:广义不完全热接触模型能较好地描述多区土界面间的热阻现象;忽略热阻效应会导致热固结过程中变形的高估,热阻效应会降低热渗透效应对固结特性的影响。
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引用次数: 0
A Dynamic Three-Field Finite Element Model for Wave Propagation in Linear Elastic Porous Media 线性弹性多孔介质中波传播的动态三场有限元模型
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-12-18 DOI: 10.1002/nag.3916
Bruna Campos, Robert Gracie

A three-field finite element (FE) model for dynamic porous media considering the de la Cruz and Spanos (dCS) theory is presented. Due to fluid viscous dissipation terms, wave propagation in the dCS theory yields an additional rotational wave compared to Biot (BT) theory. In addition, introducing porosity as a dynamic variable in the dCS model allows solid-fluid nonreciprocal interactions. Due to the volume-averaging technique, the dCS model further accounts for a macroscopic shear modulus and adds a new macroscopic constant. The porous media governing equations are formulated in terms of solid displacement, fluid pressure, and fluid displacement. Space and time convergence rates for the FE dCS model are demonstrated in a one-dimensional case. A dimensionless analysis performed in the dCS framework led to negligible differences between BT and dCS models except when assuming high fluid viscosity. Domains with small characteristic lengths resulted in BT and dCS damping terms in the same order of magnitude. One- and two-dimensional examples showed that dCS nonreciprocal interactions and the macroscopic shear modulus are responsible for modifying wave patterns. A two-dimensional injection well simulation with water and slickwater showed higher wave attenuation for the latter. High frequencies in dCS model were noticed to yield more significant changes in wave patterns. The numerical results highlight the contributions of the dCS porous media model and its importance in simulations of laboratory scale experiments, ultrasonic frequencies, and highly viscous fluids.

提出了一种考虑de la Cruz和Spanos (dCS)理论的动态多孔介质三场有限元(FE)模型。由于流体黏性耗散项的存在,与Biot (BT)理论相比,dCS理论中的波传播产生了额外的旋转波。此外,在dCS模型中引入孔隙度作为一个动态变量,允许固-流非互反相互作用。由于采用体积平均技术,dCS模型进一步考虑了宏观剪切模量,并增加了一个新的宏观常数。多孔介质的控制方程是用固体位移、流体压力和流体位移来表示的。在一维情况下证明了有限元dCS模型的空间和时间收敛率。在dCS框架中进行的无量纲分析导致BT和dCS模型之间的差异可以忽略不计,除非假设流体粘度很高。具有较小特征长度的域导致了相同数量级的BT和dCS阻尼项。一维和二维的例子表明,dCS的非互反相互作用和宏观剪切模量是改变波型的原因。在含水和滑溜水的二维注水井模拟中,滑溜水的波衰减更高。在dCS模型中,高频会产生更显著的波形变化。数值结果突出了dCS多孔介质模型的贡献及其在实验室尺度实验、超声频率和高粘性流体模拟中的重要性。
{"title":"A Dynamic Three-Field Finite Element Model for Wave Propagation in Linear Elastic Porous Media","authors":"Bruna Campos,&nbsp;Robert Gracie","doi":"10.1002/nag.3916","DOIUrl":"10.1002/nag.3916","url":null,"abstract":"<p>A three-field finite element (FE) model for dynamic porous media considering the de la Cruz and Spanos (dCS) theory is presented. Due to fluid viscous dissipation terms, wave propagation in the dCS theory yields an additional rotational wave compared to Biot (BT) theory. In addition, introducing porosity as a dynamic variable in the dCS model allows solid-fluid nonreciprocal interactions. Due to the volume-averaging technique, the dCS model further accounts for a macroscopic shear modulus and adds a new macroscopic constant. The porous media governing equations are formulated in terms of solid displacement, fluid pressure, and fluid displacement. Space and time convergence rates for the FE dCS model are demonstrated in a one-dimensional case. A dimensionless analysis performed in the dCS framework led to negligible differences between BT and dCS models except when assuming high fluid viscosity. Domains with small characteristic lengths resulted in BT and dCS damping terms in the same order of magnitude. One- and two-dimensional examples showed that dCS nonreciprocal interactions and the macroscopic shear modulus are responsible for modifying wave patterns. A two-dimensional injection well simulation with water and slickwater showed higher wave attenuation for the latter. High frequencies in dCS model were noticed to yield more significant changes in wave patterns. The numerical results highlight the contributions of the dCS porous media model and its importance in simulations of laboratory scale experiments, ultrasonic frequencies, and highly viscous fluids.</p>","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"49 4","pages":"1139-1157"},"PeriodicalIF":3.4,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nag.3916","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142858231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
AI-Driven Approach for Sustainable Extraction of Earth's Subsurface Renewable Energy While Minimizing Seismic Activity 人工智能驱动的地球地下可再生能源可持续开采方法,同时最大限度地减少地震活动
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-12-17 DOI: 10.1002/nag.3923
Diego Gutiérrez-Oribio, Alexandros Stathas, Ioannis Stefanou

Deep geothermal energy, carbon capture and storage, and hydrogen storage hold considerable promise for meeting the energy sector's large-scale requirements and reducing CO2$text{CO}_2$ emissions. However, the injection of fluids into the Earth's crust, essential for these activities, can induce or trigger earthquakes. In this paper, we highlight a new approach based on reinforcement learning (RL) for the control of human-induced seismicity in the highly complex environment of an underground reservoir. This complex system poses significant challenges in the control design due to parameter uncertainties and unmodeled dynamics. We show that the RL algorithm can interact efficiently with a robust controller, by choosing the controller parameters in real time, reducing human-induced seismicity, and allowing the consideration of further production objectives, for example, minimal control power. Simulations are presented for a simplified underground reservoir under various energy demand scenarios, demonstrating the reliability and effectiveness of the proposed control–RL approach.

深层地热能、碳捕获和储存以及氢储存在满足能源部门的大规模需求和减少排放方面具有相当大的前景。然而,对这些活动至关重要的流体注入地壳,可能诱发或引发地震。在本文中,我们重点介绍了一种基于强化学习(RL)的新方法,用于控制地下水库高度复杂环境下的人为地震活动。由于参数的不确定性和未建模的动力学特性,这种复杂的系统给控制设计带来了巨大的挑战。研究表明,RL算法可以通过实时选择控制器参数,减少人为引起的地震活动,并允许考虑进一步的生产目标,例如,最小的控制功率,与鲁棒控制器有效地交互。以一个简化的地下水库为例,对不同能源需求情景进行了仿真,验证了所提出的控制- rl方法的可靠性和有效性。
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引用次数: 0
Probabilistic Assessment of Soil–Rock Mixture Slope Failure Considering Two-Phase Rotated Anisotropy Random Fields 考虑两相旋转各向异性随机场的土岩混合物边坡崩塌概率评估
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-12-16 DOI: 10.1002/nag.3921
Chuanxiang Qu, Yutong Liu, Haowen Guo, Hongjie Fang, Kaihao Cheng, Haoran Yuan, Yong Chen

Soil–rock mixture (SRM) slopes consist of soils and rocks and are widely distributed globally. In addition to heterogeneity and discontinuity within SRM slopes, the inherent spatial variability can be observed in soil and rock properties. However, spatial variability in rock and soil properties and layouts has not been well considered in the stability analysis of SRM slopes. Additionally, SRM slopes commonly show a rotated anisotropic fabric pattern, while such fabric has rarely been accounted for in SRM slope stability analysis. In this study, a two-phase rotated anisotropy random field simulation method is proposed to model these spatial variations simultaneously. The proposed approach is then integrated with the finite element method (FEM) to study the impacts of soil volume fraction and bedding dip angle (i.e., rotated anisotropy) on the probability of failure (pf) and failure mode of SRM slopes. It is found that considering only spatially varying layouts can underestimate pf by up to 97% compared to considering both spatially variable properties and layouts. The increase in soil volume fraction significantly improves pf and the likelihood of deep failure. The bedding dip angle greatly influences pf, yet deep failure remains dominant across different bedding dip angles. Furthermore, the failure mode of SRM slopes is more sensitive to the changes in soil volume fraction than to bedding dip angle.

土石混合物(SRM)边坡由土壤和岩石组成,在全球范围内广泛分布。除了 SRM 斜坡内部的异质性和不连续性之外,土壤和岩石特性也存在固有的空间变异性。然而,在对 SRM 斜坡进行稳定性分析时,尚未充分考虑岩土性质和布局的空间变异性。此外,SRM 斜坡通常表现为旋转各向异性结构模式,而在 SRM 斜坡稳定性分析中却很少考虑这种结构。本研究提出了一种两相旋转各向异性随机场模拟方法,以同时模拟这些空间变化。然后将所提出的方法与有限元法(FEM)相结合,研究土壤体积分数和垫层倾角(即旋转各向异性)对 SRM 斜坡破坏概率(pf)和破坏模式的影响。研究发现,与同时考虑空间可变特性和布局相比,仅考虑空间可变布局会低估 pf 高达 97%。土壤体积分数的增加会大大提高 pf 值和深层破坏的可能性。垫层倾角对 pf 有很大影响,但在不同的垫层倾角下,深层破坏仍占主导地位。此外,与垫层倾角相比,SRM 斜坡的破坏模式对土壤体积分数的变化更为敏感。
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引用次数: 0
Assessing Static Liquefaction Triggers in Tailings Dams Using the Critical State Constitutive Models CASM and NorSand 基于临界状态本构模型CASM和NorSand的尾矿坝静态液化触发因素评估
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-12-13 DOI: 10.1002/nag.3914
Erick Rógenes, Ian Torras Paes, Bruno Guimarães Delgado, Rafael Jabur Bittar, Alessandra dos Santos Gomes, Alessandro Cirone, Alomir H. Fávero Neto, Leandro Lima Rasmussen

Static liquefaction-induced failure in tailings dams can result in extensive economic and environmental damage. In practice, the use of constitutive models capable of capturing this phenomenon and assessing structures susceptible to liquefaction is increasing. Numerous constitutive models exist and have been applied to model static liquefaction of tailings materials, but the extent of the influence exerted by the choice of constitutive model on analysis outcomes remains to be determined. This study addresses this uncertainty by employing the Clay and Sand Model (CASM) and NorSand models to analyze the well-documented case of the B1 dam failure in Brazil. Initially, a back analysis of the failure was conducted, and further analyses were carried out by simulating hypothetical triggers: crest loading and increased gravity. The influence of the adopted constitutive model on results was analyzed through the failure mechanisms generated, stress paths, and levels of disturbances necessary to trigger liquefaction. Both models produced compatible failure mechanisms, with slight differences observed in the level of disturbance required to trigger liquefaction. The results obtained from the B1 case indicate that the most important aspect related to the constitutive model in assessing structures susceptible to static liquefaction lies in the constitutive model's capacity to represent the sudden strength loss due to pore pressure generation, while the particular formulations employed in each method tend to be a secondary consideration in the analysis.

尾矿坝的静态液化破坏会造成广泛的经济和环境破坏。在实践中,能够捕捉这种现象并评估易液化结构的本构模型的使用正在增加。目前已有许多本构模型用于模拟尾矿材料的静态液化,但本构模型的选择对分析结果的影响程度仍有待确定。本研究通过采用粘土和沙子模型(CASM)和NorSand模型来分析巴西B1大坝溃坝的充分记录案例,解决了这一不确定性。最初,对破坏进行了反向分析,并通过模拟假设的触发因素(峰值载荷和重力增加)进行了进一步分析。通过产生的破坏机制、应力路径和触发液化所需的扰动水平,分析了所采用的本构模型对结果的影响。两种模型都产生了相容的失效机制,在触发液化所需的扰动水平上观察到轻微的差异。B1案例的结果表明,在评估易受静液化影响的结构时,与本构模型相关的最重要方面是本构模型表征孔隙压力产生引起的突然强度损失的能力,而每种方法中使用的特定公式在分析中往往是次要考虑因素。
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引用次数: 0
Semi-Analytical Study of Pile–Soil Interaction on a Permeable Pipe Pile Subjected to Rheological Consolidation of Clayey Soils 粘性土流变固结作用下透水管桩桩土相互作用半解析研究
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-12-12 DOI: 10.1002/nag.3915
Lun Hua, Yi Tian, Yue Gui, Wenlian Liu, Wenbing Wu

Permeable pipe pile, a novel pile foundation integrating drainage and bearing functions, improves the bearing capacity of the pile foundation by accelerating the consolidation of the soil around the pile. In this study, a mathematical model is established to simulate the consolidation of surrounding clayey soils and the pile–soil interaction, where the rheological properties of the soils are described with the fractional derivative-based Merchant model, and the impeded drainage boundary is used to simulate the pile–soil interfacial drainage boundary. Corresponding solutions for pile–soil relative displacement, skin friction, and axial force on the pile shaft are derived by means of semi-analytical methods, and they are validated by comparing with experimental results and numerical simulation results. Based on the proposed semi-analytical model, a series of parametric analyses are conducted to investigate the influences of fractional orders, viscosity coefficients, pile–soil interface parameters, and pile-head loads on the pile–soil interaction characteristics. It is observed that during the transition stage, the axial force increases linearly with depth in the plastic segment, and then increases nonlinearly in the elastic segment until it decreases after reaching the neutral plane. In the elastic segment, the axial force on the pile shaft for a given time increases with the increases in the fractional order or the pile–soil interface parameter, but decreases with the increase of viscosity coefficient.

透水管桩是一种集排水和承载功能于一体的新型桩基础,它通过加速桩周土体的固结来提高桩基础的承载能力。本文建立了模拟周围黏性土固结和桩土相互作用的数学模型,采用基于分数阶导数的Merchant模型描述土的流变特性,采用阻碍排水边界模拟桩土界面排水边界。采用半解析方法推导出相应的桩土相对位移、桩身摩阻力和桩身轴力的解,并与试验结果和数值模拟结果进行了对比验证。基于所提出的半解析模型,进行了一系列参数分析,研究了分数阶数、黏度系数、桩-土界面参数和桩头荷载对桩-土相互作用特性的影响。观察到,在过渡阶段,轴向力在塑性段随深度线性增加,然后在弹性段非线性增加,直至到达中性面后减小。在弹性段,一定时间内桩身所受轴力随分数阶或桩土界面参数的增大而增大,随粘滞系数的增大而减小。
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引用次数: 0
Numerical Modeling on Small-Strain Stiffness and Viscoelastic-Viscoplastic Characteristic of Soft Soils 软土小应变刚度和粘弹粘塑性特性数值模拟
IF 3.4 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Pub Date : 2024-12-12 DOI: 10.1002/nag.3918
Zhi Yong Ai, Gan Lin Gu, Jun Tao Yuan

The behavior of soft soils distributed in coastal areas usually exhibits obvious time-dependent behavior after loading. To reasonably describe the stress-strain relationship of soft soils, this paper establishes a viscoelastic-viscoplastic small-strain constitutive model based on the component model and the hardening soil model with small-strain stiffness (HSS model). First, the Perzyna's viscoplastic flow rule and the modified Hardin–Drnevich model are introduced to derive a one-dimensional incremental Nishihara constitutive equation. Next, the flexibility coefficient matrix is utilized to extend the one-dimensional model to three-dimensional conditions. Then, by combining the HSS elastoplastic theory with the component model, the viscoelastic-viscoplastic small-strain constitutive model is subsequently established. To implement the proposed model for numerical analysis, the corresponding UMAT subroutine is developed using Fortran. After comparing the results of numerical simulations with those of existing literature, the reliability of the constitutive model and the program written in this paper is verified. Finally, numerical examples are designed to further analyze the effects of small-strain parameters and viscoelastic-viscoplastic parameters on the time-dependent behavior of soft soils.

沿海地区软土在加载后表现出明显的时间依赖性。为了合理地描述软土的应力应变关系,本文在构件模型和具有小应变刚度的硬化土模型(HSS模型)的基础上建立了粘弹粘塑性小应变本构模型。首先,引入Perzyna粘塑性流动规律和改进的Hardin-Drnevich模型,推导出一维增量式Nishihara本构方程;其次,利用柔度系数矩阵将一维模型扩展到三维条件。然后,将HSS弹塑性理论与构件模型相结合,建立粘弹粘塑性小应变本构模型。为了实现所提出的数值分析模型,用Fortran语言开发了相应的UMAT子程序。将数值模拟结果与已有文献的结果进行比较,验证了本构模型和程序的可靠性。最后,设计了数值算例,进一步分析了小应变参数和粘弹粘塑性参数对软土时间特性的影响。
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International Journal for Numerical and Analytical Methods in Geomechanics
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