Changguang Zhang, Mohan Shi, Sirui Wang, Hongfei Cao, Tianbin Li
{"title":"Closed‐Form Solutions of Translatory Coal Seam Bumps Considering the Intermediate Principal Stress and Gas Pressure","authors":"Changguang Zhang, Mohan Shi, Sirui Wang, Hongfei Cao, Tianbin Li","doi":"10.1002/nag.4004","DOIUrl":"https://doi.org/10.1002/nag.4004","url":null,"abstract":"Translatory bumps are becoming a major challenge in the excavation of coal seams. This study presents closed‐form solutions of stress and plastic zone width for translatory coal seam bumps within the framework of the Lippmann theory. The strength of coal seam taken as an elastic−perfectly plastic material and the friction force at the coal−rock interface are evaluated by the generalized effective stress with consideration of gas pressure. The Unified Strength Theory is adopted to address the contributions of intermediate principal stress on the strength improvements of the coal seam. The orderly serialized solution obtained in this study is formatted into three sets in accordance with linear, exponential, and sinusoidal profiles of gas pressure, and its validity is demonstrated by comparing it with both published theoretical solutions and numerical simulations. In addition, discussions are conducted between the results from three profiles of gas pressure and varying influencing extents of intermediate principal stress. Parametric studies highlight that the effect of gas pressure is significant, especially for the exponential profile with a weaker effect of intermediate principal stress; the translatory bump tendency is high for the coal seam with great depth and thin thickness; the internal friction angle of coal seam has a more pronounced impact than the cohesion of coal seam.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"44 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144122487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Luo‐bin Lin, Fu‐quan Chen, Chang‐jie Zheng, Shang‐shun Lin
{"title":"Bidirectional Conformal Mapping for Over‐Break and Under‐Break Tunnelling and Its Application in Complex Variable Method","authors":"Luo‐bin Lin, Fu‐quan Chen, Chang‐jie Zheng, Shang‐shun Lin","doi":"10.1002/nag.4008","DOIUrl":"https://doi.org/10.1002/nag.4008","url":null,"abstract":"Over‐break and under‐break excavation is very common in practical tunnel engineering with asymmetrical cavity contour, while existing conformal mapping schemes of complex variable method generally focus on tunnelling with theoretical and symmetrical cavity contour. Besides, the solution strategies of existing conformal mapping schemes for non‐circular tunnel generally apply optimization theory and are thereby mathematically complicated. This paper proposes a new bidirectional conformal mapping for over‐break and under‐break tunnels of asymmetrical contours by incorporating Charge Simulation Method, which only involves a pair of forward and backward linear systems, and is therefore logically straightforward, computationally efficient and practically easy in coding. New numerical strategies are developed to deal with possible sharp corners of cavity by small arc simulation and densified collocation points. Several numerical examples are presented to illustrate the geometrical usage of the new bidirectional conformal mapping. Furthermore, the new bidirectional conformal mapping is embedded into two complex variable solutions of under‐break shallow tunnelling in gravitational geomaterial with reasonable far‐field displacement. The respective result comparisons with finite element solution and existing analytical solution show good agreements, indicating that the new bidirectional conformal mapping would extend the mechanical application range of the complex variable method in practical over‐break and under‐break tunnelling.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"19 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144113680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xiaocong Cai, Ling Zhang, Zijian Yang, Binbing Mao
{"title":"Dynamic Behavior of GESC Groups in Sand Under Sinusoidal Loading: A Continuum‐Discrete Coupled Analysis","authors":"Xiaocong Cai, Ling Zhang, Zijian Yang, Binbing Mao","doi":"10.1002/nag.4000","DOIUrl":"https://doi.org/10.1002/nag.4000","url":null,"abstract":"Geotextile‐encased stone columns (GESCs) for improving weak foundations commonly experience static and dynamic loads. However, the effectiveness of GESCs in resisting dynamic loading remains a concern. Three‐dimensional numerical models using a continuum‐discrete coupled method are developed to investigate the dynamic response of GESC groups in sand under sinusoidal loading. The models capture the dynamic variations in settlement (<jats:italic>δ</jats:italic><jats:sub>z</jats:sub>), lateral displacement (<jats:italic>δ</jats:italic><jats:sub>r</jats:sub>), porosity, coordination number, contact force distribution, and radial stress coefficient (). A parametric study further examines the effect of six key factors. The results reveal that the column group effect notably reduces <jats:italic>δ</jats:italic><jats:sub>r</jats:sub> of the central column by 52.78% compared to a single GESC. GESCs exhibit shear deformation and translational movement, with <jats:italic>δ</jats:italic><jats:sub>r</jats:sub> increasing as the distance from the group center grows. The position of maximum <jats:italic>δ</jats:italic><jats:sub>r</jats:sub> shifts downward from a z/<jats:italic>D</jats:italic> ratio of 0.83–2.5 with increasing distance in the <jats:italic>x</jats:italic>‐direction, while remaining stable in the <jats:italic>y</jats:italic>‐direction. High contact forces accumulate at the GESC bases, peaking initially before declining over time. The remains below 2.0, considerably lower than the passive earth pressure coefficient (<jats:italic>K</jats:italic><jats:sub>p</jats:sub>). <jats:italic>K</jats:italic><jats:sub>p</jats:sub> for design purposes overestimates the bearing capacity of GESCs under dynamic loading. GESC groups are more sensitive to lower loading frequencies, while larger relative density, soil strength, or column diameter improves dynamic resistance.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"11 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144104175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Liming Qu, Xiong Li, Georges Kouroussis, Xiaoyan Zhao, Yu Peng, Changwei Yang, Xuanming Ding, David Connolly
{"title":"Vertical Dynamic Impedance for Piles in Radially Weakened Soil","authors":"Liming Qu, Xiong Li, Georges Kouroussis, Xiaoyan Zhao, Yu Peng, Changwei Yang, Xuanming Ding, David Connolly","doi":"10.1002/nag.4001","DOIUrl":"https://doi.org/10.1002/nag.4001","url":null,"abstract":"The effects of surrounding soil degradation on the performance of piles during their operational phase remain inadequately understood within dynamic context. This study presents an energy‐based methodology for estimating the dynamic impedance of a single pile situated in radially weakened soil. To achieve this, the surrounding soil is segmented into discrete annular zones, wherein soil deformation is modeled as a function of a series of decay functions corresponding to the pile shaft displacement. Hamilton's energy principle and the method of variations are employed to derive the governing equations. To enhance computational efficiency, fixed‐point iteration utilizing Steffensen's technique is implemented. Additionally, a novel radial distribution model based on Bessel functions is introduced to more accurately reflect the changes in soil properties observed in experimental investigations. The study examines the effects of three distinct types of radial distributions of soil shear modulus on pile stiffness and damping characteristics. The findings indicate that the proposed approach improves low‐frequency prediction by reducing the impact of boundary wave reflections. It is also found that the depth of soil degradation significantly influences pile impedance, particularly in the case of short piles embedded in soft soil.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"96 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144067135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Timo Saksala, Arturo Rubio Ruiz, Suprit Bhusare, Gaurav Mohanty, Terence Coudert, Stéphane Dumoulin, Ruben Bjørge, Pascal‐Alexandre Kane, Mikko Hokka
{"title":"Numerical Modelling of Frictional Sliding Induced Damage and Heating Effects on Rock With an Application to Sievers’ J‐Miniature Drilling on Granite","authors":"Timo Saksala, Arturo Rubio Ruiz, Suprit Bhusare, Gaurav Mohanty, Terence Coudert, Stéphane Dumoulin, Ruben Bjørge, Pascal‐Alexandre Kane, Mikko Hokka","doi":"10.1002/nag.4005","DOIUrl":"https://doi.org/10.1002/nag.4005","url":null,"abstract":"The present study develops a finite element‐based numerical method for simulation of frictional rotational sliding induced damage and heating effects on rock. The method is applied to the Sievers’ J‐ miniature drill test, which is widely used for estimating the rock drillability and predicting the cutter life. A continuum approach based on a damage‐viscoplastic model for rock failure is adopted. The viscoplasticity part, based on the Drucker–Prager yield surface with a rounded Rankine criterion as the tensile cut‐off, defines the stress states leading to rock failure. This failure is captured by the damage model, which uses separate damage variables for tension and compression (shear). A special workflow for generating granite mineral mesostructures based on Neper, DREAM3D, and Matlab software is developed. Moreover, nanoindentation tests are performed for determination of the elastic material constants for the Kuru granite constituent minerals. The global coupled thermo‐mechanical problem with frictional contact is solved with a staggered globally iterative approach. The FE discretized balance of linear momentum is time discretized with the Newmark scheme, and the FE discretized heat equation is time discretized with the Backward Euler scheme. The tangent stiffness operator required by the Newton–Raphson iteration is derived for the isothermal case using the penalty method for contact modelling. Preliminary numerical simulations of the Sievers’ J‐miniature drill test on granite demonstrate that the approach holds some promise and thereby provides a platform to be extended to simulate frictional rotational sliding induced damage and heating effects on rocks in other applications as well.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"141 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144066827","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Importance Sampling‐Enhanced Reliability Analysis of Double‐Row Piled Earth Slopes Accounting for Soil Spatial Variability","authors":"Jian Ji, Xueyang Yuan, Wenwang Liao, Shigui Du","doi":"10.1002/nag.3998","DOIUrl":"https://doi.org/10.1002/nag.3998","url":null,"abstract":"The application of stabilizing piles to increase slope stability is a common practice in slope engineering. Most related studies primarily focus on single‐row stabilizing piles; however, for large‐scale slopes, single‐row stabilizing piles may fail to meet the stability requirement, necessitating the use of double‐row or even multiple‐row stabilizing piles. Specifically, for large‐scale earth slopes where double‐row stabilizing piles are installed, the uncertainty and spatial variability of soil properties in the slope region may exert some probabilistic influence to the stabilizing efficiency. To address this probabilistic issue, this paper presents a reliability‐based analysis framework enhanced by importance sampling (IS) to quantify the stability of double‐row piled earth slopes, accounting for the soil spatial variability. The reliability analysis is efficiently realized by the first‐order reliability method (FORM) with <jats:italic>iHLRFx</jats:italic> iterative algorithm and the accuracy is enhanced using the IS method. Additionally, the Karhunen–Loève (KL) expansion method is used for efficient random field simulations. In connection with the standard Optum G2 slope stability modeling program, the integrated <jats:italic>KL‐iHLRFx‐IS</jats:italic> reliability method is then used to calculate reliability indices of double‐row piled earth slopes with various combinations of piling design schemes, followed by probabilistic sensitivity analyses of various soil uncertainty and spatial variability parameters.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"132 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144066826","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zhi Yong Ai, Li Wei Shi, Gan Lin Gu, Xiao Ming Wang
{"title":"Thermo‐Mechanical Effects of Euler–Bernoulli Beams on Layered Transversely Isotropic Saturated Subgrade due to Moving Loads","authors":"Zhi Yong Ai, Li Wei Shi, Gan Lin Gu, Xiao Ming Wang","doi":"10.1002/nag.3997","DOIUrl":"https://doi.org/10.1002/nag.3997","url":null,"abstract":"This paper investigates the thermo‐mechanical effects of Euler–Bernoulli beams on layered transversely isotropic (TI) saturated subgrade due to moving loads. Firstly, the governing equations for the beam and subgrade are derived using Euler–Bernoulli beam theory, poroelastic mechanics, and thermoelasticity. Then, by adopting the extended precise integration solution for the layered TI saturated subgrade and boundary conditions, the solution for the beam‐subgrade dynamic interaction is further achieved. After verifying the validity of the presented method, the effects of thermal load and moving load speed are finally investigated. Numerical results show that thermal loads significantly impact the beam‐subgrade dynamic interaction by inducing thermal axial forces in the beam and vertical displacement expansion in the subgrade. Additionally, the effect of thermal load should be fully considered in the design of beam, especially in high‐speed load and high‐temperature environment.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"29 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143979916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Marcelo De Simone, Lourdes M. S. Souza, Deane Roehl
{"title":"A DEM Model for Assessing the Mechanical Effects of CO2 Alteration in a Carbonate Rock","authors":"Marcelo De Simone, Lourdes M. S. Souza, Deane Roehl","doi":"10.1002/nag.3999","DOIUrl":"https://doi.org/10.1002/nag.3999","url":null,"abstract":"CO<jats:sub>2</jats:sub> injection in the subsurface is considered an option to improve oil and gas production and, more recently, to store CO<jats:sub>2</jats:sub>. Consequently, there is a need to better understand the interactions between CO<jats:sub>2</jats:sub> and rock deposits. Among the primary deposit candidates are carbonate rocks. During CO<jats:sub>2</jats:sub> injection in the subsurface, the formation's pore structure and mechanical properties are altered by the interaction with CO<jats:sub>2</jats:sub>, affecting reservoir behavior and fluid flow. This study aims to improve understanding of the effects of CO<jats:sub>2</jats:sub> injection on the mechanical behavior of carbonate rocks. Laboratory tests and numerical discrete element models (DEMs) were used to assess the alterations in carbonate rocks due to CO<jats:sub>2</jats:sub> injection. The laboratory tests consist of CO<jats:sub>2</jats:sub>‐saturated water injection and multistage triaxial tests in Indiana limestone samples. Triaxial tests were performed before and after CO<jats:sub>2</jats:sub> injection to investigate changes in the rock's mechanical properties. A significant reduction in the unconfined compressive strength and Young's modulus was observed. Numerical discrete element models were developed to assess the alterations in carbonate rocks due to CO<jats:sub>2</jats:sub> injection. A contact law accounts for the mechanical effect of material degradation. The laboratory test results were used to calibrate the numerical model. The numerical methodology presented good results and was validated by matching the experimental results, assessing the mechanical changes due to the dissolution of Indiana limestone samples.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"96 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2025-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143932509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Coupled Modeling of Hydromechanical Behavior of Saturated Concrete Under High Stresses and Dynamic Loading: Influence of Pore Pressure","authors":"Yun Jia, Yu Sun, Yudan Jin, Jinzhou Bai, Hanbing Bian, Jean‐Philippe Carlier","doi":"10.1002/nag.3986","DOIUrl":"https://doi.org/10.1002/nag.3986","url":null,"abstract":"This paper investigates the dynamic response of water‐saturated concrete under high stress levels, with a particular emphasis on the role of pore pressure. An enhanced elastoplastic damage model, incorporating dual plastic mechanisms, is proposed to capture the coupled hydromechanical behavior of concrete under combined high stress and high strain rate loading. Key improvements include the refinement of the porosity‐volumetric strain relationship, the incorporation of full hydromechanical coupling under dynamic loading, and the integration of strain rate sensitivity into the pore collapse mechanism and material strength. The improved constitutive model and numerical methodology are validated through simulations of uniaxial tensile tests and three sets of compression tests. Parametric studies are conducted to explore the influence of pore pressure on the confined response of concrete under both static and dynamic loading conditions. The results demonstrate that interstitial pore pressure significantly affects both the volumetric and deviatoric behaviors of saturated concrete, with its influence becoming more pronounced under dynamic loading. The findings provide valuable insights into the hydromechanical behavior of concrete structures subjected to extreme loading scenarios.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"50 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143915665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Closed‐Form Hypoplastic Solutions for Normally Consolidated Soil in Element Tests","authors":"Chengwei Zhu, Shun Wang, Wei Wu, Chong Peng","doi":"10.1002/nag.3994","DOIUrl":"https://doi.org/10.1002/nag.3994","url":null,"abstract":"The hypoplastic theory has gained significant attraction in the geomechanics community for constitutive modeling and numerical simulation. However, the absence of an analytical benchmark for numerical simulations incorporating the hypoplastic model remains a notable gap. This study revisits the basic hypoplastic model for normally consolidated soil, as proposed by Wu et al., by providing explicit formulations of the failure criterion and material parameters. Furthermore, closed‐form hypoplastic solutions are derived for normally consolidated soil in three elemental tests: oedometer, simple shear and true triaxial tests. The solutions are assessed by comparing the analytical results with numerical integration and geotechnical test data. Additionally, a novel formula for estimating the at‐rest earth pressure coefficient is derived, and compared to the widely adopted Jaky equation. Our solutions not only provide insights into hypoplastic model enhancement but also serve as robust benchmarks for numerical implementations.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"25 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}