Shuiliang Zhang, Yunpeng Zhang, M. Hesham E. I. Naggar, Xinglei Cheng, Wenbing Wu
{"title":"Iterative Approach for Analyzing Jointed Pipeline Response Considering Pipeline-Soil Gap Induced by Down-Crossing Tunnel","authors":"Shuiliang Zhang, Yunpeng Zhang, M. Hesham E. I. Naggar, Xinglei Cheng, Wenbing Wu","doi":"10.1002/nag.70386","DOIUrl":"10.1002/nag.70386","url":null,"abstract":"<div>\u0000 \u0000 <p>In underground space engineering, the down-crossing of a tunnel beneath an existing pipeline often leads to soil settlement beneath the pipeline, creating a gap between the pipeline and the soil. This can result in the loss of local support under the pipeline, significantly decreasing its safety and reliability. To analyze the effects of such gaps on pipelines, this study proposes a matrix transfer and iteration approach based on a discontinuous Timoshenko beam theory, aiming to evaluate the mechanical response of pipelines due to pipeline-soil gap. Through the comparisons with centrifuge model tests, the accuracy and correctness of this approach are validated. Finally, a parameter analysis is conducted to exhibit the influence of ground loss volume, the trough width parameter, eccentricity, shear layer thickness, pipeline-tunnel clearance ratio, and relative stiffness between the pipeline and soil on the pipeline responses. Based on the analysis results, some recommendations for practical engineering are provided.</p>\u0000 </div>","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"50 14","pages":"5307-5324"},"PeriodicalIF":3.6,"publicationDate":"2026-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148408827","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}
Lewis Traquair,Peter Watson,Ali Anwar,Sebastien Vincent Bonnieu,Marcello Lappa
{"title":"Computational Analysis of the Vibrational Response of Lunar Regolith Made of Nonspherical Grains","authors":"Lewis Traquair,Peter Watson,Ali Anwar,Sebastien Vincent Bonnieu,Marcello Lappa","doi":"10.1002/nag.70419","DOIUrl":"https://doi.org/10.1002/nag.70419","url":null,"abstract":"ABSTRACT Vibration‐based systems have shown that appropriately oriented and tuned mechanical oscillations can disrupt regolith interlocking and promote flow. Building on this evidence, the present study investigates vibration‐controlled granular discharge as a potential ISRU (In Situ Resource Utilization) strategy, with the aim of supporting predictable material processing through physically consistent numerical modeling. The equations governing the dynamics of nonspherical particles are presented accordingly and used to simulate the behavior of a fixed mass of granular material flowing through a hopper device in the framework of the discrete element method (DEM). The results show that even for monodisperse distributions vibration‐induced fluidization does not follow simple monotonic trends. The mass flow rate initially increases with the forcing frequency f , reaching a plateau in the range of 150–200 Hz, beyond which further frequency increases produce no significant enhancement. At the same time, higher values of the dimensionless acceleration Γ generally reduce the mass flow rate and cause an increase in the frequency threshold above which vibration‐driven discharge exceeds gravity‐driven flow. Moreover, for fixed, moderately low values of Γ, increasing f leads to the emergence of higher‐order harmonics in the instantaneous mass flow rate. For fixed and relatively high values of f , a larger value of Γ can cause the appearance of subharmonics in the spectrum. In contrast, for relatively low f and high Γ, incommensurate spectral components appear, which reduce the regularity and predictability of the flow response. These findings are supported by a detailed analysis of particle patterning behavior and frequency spectra, which reveals the fine‐scale dynamics underlying the observed flow regimes.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"82 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894678","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}
Muhammad Shoaib,Xin‐Dong Wei,Gao‐Feng Zhao,Xifei Deng
{"title":"A Multiscale Numerical Approach to Long‐Term Stability Analysis in Rock Engineering","authors":"Muhammad Shoaib,Xin‐Dong Wei,Gao‐Feng Zhao,Xifei Deng","doi":"10.1002/nag.70427","DOIUrl":"https://doi.org/10.1002/nag.70427","url":null,"abstract":"ABSTRACT Long‐term stability of rock engineering structures is controlled by progressive strength degradation under sustained loading, yet direct experimental determination of long‐term strength (LTS) is severely constrained by impractically long testing durations and strong material variability. To address this limitation, this study proposes a feasible numerical framework for long‐term stability analysis by linking time‐dependent microscale damage evolution to engineering‐scale strength parameters. The four‐dimensional lattice spring model (4D‐LSM), incorporating creep, plasticity, and progressive bond fracture, is calibrated using conventional creep test data, in which the maximum bond‐fracture threshold governs long‐term failure time. Time effects are introduced through temporal evolution of model input parameters, enabling numerical creep tests to reproduce stress‐time‐to‐failure behavior and predict LTS. The numerically obtained LTS data are fitted with an empirical stress‐time relationship and further converted into time‐dependent equivalent Mohr‐Coulomb cohesion and friction angle. These time‐varying parameters are then implemented in a classical strength reduction finite element framework, and a machine learning model is adopted to establish the correlation between the factor of safety and the degrading strength parameters. The proposed approach facilitates the practical prediction of long‐term stability of rock engineering structures using temporally evolving strength parameters derived from 4D‐LSM simulations, thereby providing a mechanistically sound and computationally efficient tool for the assessment of delayed failure in rock engineering.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"11 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894680","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":"Faulted Rock Slope Stability Under Blasting Excavation Using Copula‐Based Rotated Anisotropic Random Fields","authors":"Jiajun Wu,Chong Yu,Haibo Li,Yongan Ma,Renjie Wu","doi":"10.1002/nag.70429","DOIUrl":"https://doi.org/10.1002/nag.70429","url":null,"abstract":"ABSTRACT Blasting excavation can induce permanent displacement in faulted rock slopes and adversely affect slope stability. Most existing stability assessments use deterministic approaches and therefore do not adequately account for the spatial variability and cross‐correlation of geomechanical properties. In addition, conventional assumptions of transverse anisotropy and the arbitrary selection of copula models may bias blast‐design assessments. This study develops a stochastic framework that integrates rotated anisotropic random fields with copula models to characterize spatially variable rock properties. The effects of copula selection and rotated anisotropy on the statistical distributions of permanent displacement and a displacement‐based risk index are investigated. The framework is demonstrated through an engineering case study and compared with conventional deterministic analysis. The results indicate that the commonly used Gaussian copula tends to overestimate slope stability, whereas strata orientation, scale of fluctuation, and the correlation between cohesion and friction angle significantly affect the response statistics. The case study illustrates the applicability of the framework to comparative stability assessments of blast‐affected faulted rock slopes.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"5 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894681","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":"Mechanical Stability of Granular Assemblies: A Matter of Scale","authors":"Xiaoxiao Wang,Yang Liu,Antoine Wautier,François Nicot","doi":"10.1002/nag.70431","DOIUrl":"https://doi.org/10.1002/nag.70431","url":null,"abstract":"ABSTRACT Granular assemblies are prone to form self‐organized dissipative structures. The microscopic interparticle sliding, entailing frictional dissipation at contacts drives configurational changes that critically influence the mechanical stability of the system. Using the discrete element method (DEM), this study investigates the mechanical stability of granular assemblies based on a mesoscale second‐order work criterion. In dense specimen, the vanishing of the mesoscopic second‐order work exhibits a spatial localization after the stress peak, consistent with the formation of a shear band. By analyzing the evolution of stability indexes, the sub‐domain inside the shear band undergoes a fluctuating regime of stability, which governs the fluctuating stability characteristic of dense specimen at the critical state. For the loose specimen, this fluctuating stability regime maintains throughout loading up to the critical state. The shear band domain and the whole loose specimen were identified as inherent dissipative structures, governing the fluctuating stability regime, where the different loop categories composing the topology of the granular assembly share similar stability mechanisms. Furthermore, the dissipative structure exhibits a similar mean characteristic size of unstable meso‐loops at the critical state regime. The meso‐loops with sufficiently large instability influence range contribute to a loss of stability of the dissipative structures, ultimately controlling macroscopic instability of granular assembly.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"28 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894682","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}
Fan Fei,Md Shumon Mia,Ahmed E. Elbanna,Jinhyun Choo
{"title":"A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults","authors":"Fan Fei,Md Shumon Mia,Ahmed E. Elbanna,Jinhyun Choo","doi":"10.1002/nag.70416","DOIUrl":"https://doi.org/10.1002/nag.70416","url":null,"abstract":"ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework. However, its capability has been restricted to simplified anti‐plane settings. In this study, we extend the phase‐field method to in‐plane faulting by introducing two key advancements: (i) the incorporation of enhanced fault kinematics and pressure‐dependent shear strength for a more accurate representation of fault behavior, and (ii) a revised fault propagation criterion that explicitly accounts for the coupling between shear strength and normal stress. The proposed formulation is verified against standard discontinuous approaches to quasi‐dynamic fault rupture under in‐plane conditions and validated using experimental observations and numerical data on nucleation and propagation of fault slip surfaces and associated localized damage zones. Simulations incorporating structural complexities and material heterogeneities demonstrate the robustness and versatility of the phase‐field model, establishing it as a powerful tool for investigating the interactions between fault zone properties and earthquake processes.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"492 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894679","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}
Dennis Delali Kwesi Wayo,Lei Wang,Sonny Irawan,Leonardo Goliatt,Randy Hazlett
{"title":"Physics‐Guided Neural Regression Modeling of Energy‐Balance Proxies for Hydraulic Fracture Propagation in 1D–3D","authors":"Dennis Delali Kwesi Wayo,Lei Wang,Sonny Irawan,Leonardo Goliatt,Randy Hazlett","doi":"10.1002/nag.70418","DOIUrl":"https://doi.org/10.1002/nag.70418","url":null,"abstract":"ABSTRACT Energy‐balance surrogates can support early hydraulic‐fracture screening before fully coupled simulations are run. This paper defines a physics‐guided neural regression benchmark for controlled energy‐proxy learning across increasing input dimensionality. We generate samples with fracture length , fracture width , pressure gradient , and fluid viscosity with numerical extrema, compute , add noise, and train on . Inputs are (1D), with fixed (2D), and (3D); features are standardized, with target standardization only for 1D/2D. The 1D/2D networks use 4256 ReLU layers, and the 3D network uses 3 128 Swish layers selected from a limited practical sweep. On noise‐free proxy test targets after noisy‐target training, MSEs are 0.0031 (1D), 1.4580 (2D), and 10917.8261 (3D), with NRMSE 0.0004/0.0069/0.0918 and 1.0000/1.0000/0.9916. KGD‐ and PKN‐inspired analytical trends are used as reference controls to separate the proposed attenuation‐driven energy proxy from classical opening‐dominated fracture scalings. Their poor agreement with the proxy shows that the benchmark is a distinct surrogate task rather than a reduced KGD/PKN solution. The result is a reproducible benchmark for assessing dimensional scaling, training stability, and surrogate accuracy in hydraulic‐fracture energy modeling before extension to coupled elasticity–fluid‐flow validation.","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"8 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894721","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":"A Geometrically Regularized Gradient-Damage Model With Orthogonality-Based Energy Split for Dynamic Anisotropic Compression-Shear Fracture","authors":"Hui Li, Shanyong Wang","doi":"10.1002/nag.70377","DOIUrl":"https://doi.org/10.1002/nag.70377","url":null,"abstract":"<p>This study proposes a novel geometrically regularized gradient-damage model for simulating dynamic mixed-mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and the damage energy release rate are derived. The geometry of sharp cracks is regularized using a functional of crack surface density, resulting in a volumetric expression for the Griffith-type crack dissipation energy. By enforcing energetic equivalence between the crack dissipation energy and the damage dissipation energy, a gradient damage evolution law is obtained. An orthotropic Helmholtz free energy decomposed by an orthogonality-based volumetric–deviatoric–spectral split operator is introduced to consider the material anisotropy and tension-compression asymmetry. A hybrid driving force for unified modelling of mixed-mode fracture, is then proposed by combining the decomposed free energy with the Mohr–Coulomb criterion and three mode-dependent fracture energies. The resultant governing equations are discretized within the finite element framework and solved via an alternate minimization Newton–Raphson algorithm. Its accuracy and robustness are verified through three benchmark problems of 2D and 3D dynamic fracture. The results demonstrate the proposed method is powerful in modelling complex dynamic anisotropic mixed-mode fracture.</p>","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"50 13","pages":"5185-5212"},"PeriodicalIF":3.6,"publicationDate":"2026-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nag.70377","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148704419","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}
Armando Della Corte, Stijn François, Chiara Iodice, Aggelos Tsikas, George Anoyatis
{"title":"An Analytical Model for Axially-Loaded Floating Piles in Continuously Inhomogeneous and Two-Layer Soils","authors":"Armando Della Corte, Stijn François, Chiara Iodice, Aggelos Tsikas, George Anoyatis","doi":"10.1002/nag.70374","DOIUrl":"10.1002/nag.70374","url":null,"abstract":"<div>\u0000 \u0000 <p>This work presents elastic analytical solutions for the response of axially-loaded floating piles embedded in vertically continuous inhomogeneous and two-layer soil deposits. The proposed model extends previous works of some of the authors for end-bearing piles to floating piles. For smoothly inhomogeneous soils, a generalised Fourier series faithfully approximates the soil modes, enhancing computational efficiency. For two-layer soils, the problem is addressed through a formulation of a piecewise eigenvalue problem that extends the classical homogeneous-soil approach to layered media and satisfies the compatibility of stresses and displacements at the layer interface. This allows the soil modes to be represented by simple trigonometric functions in each layer. The soil is modelled as an approximate Tajimi-type continuum, accounting solely for the effect of the vertical soil displacement component on the stresses. This reduces the two governing equations from classic axisymmetric elastic medium to a single vertical equilibrium equation. The soil column under the pile tip is treated as a pseudo pile, with properties identical to those of the surrounding soil. Both the actual and the pseudo pile segments are idealised as axially deforming rods following the strength-of-materials theory. The predictive capability of the proposed model is verified with comparisons against results obtained from available analytical and numerical solutions in terms of pile head stiffness, pile normal forces, and vertical shear stresses at the soil-pile interface. The effect of soil inhomogeneity on the load-transfer mechanism and pile response is investigated through an extensive parametric analysis.</p>\u0000 </div>","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"50 13","pages":"4981-4993"},"PeriodicalIF":3.6,"publicationDate":"2026-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148288320","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":"A Framework for In Situ Rock UCS Assessment and Full-Hole Strength Inversion Integrating MWD Signals and Symbolic Regression Strategies","authors":"Shuai Huang, Jian Zhou, Weixun Yong","doi":"10.1002/nag.70368","DOIUrl":"https://doi.org/10.1002/nag.70368","url":null,"abstract":"<div>\u0000 \u0000 <p>Accurate in situ estimation of uniaxial compressive strength (UCS) is essential for safe geotechnical and mining operations, yet traditional coring followed by laboratory testing rarely supports rapid strength profiling. This study develops a UCS assessment framework based on measurement while drilling (MWD) signals to provide a lightweight prediction tool. Field drilling totaling 297 m provides continuous records of penetration rate, thrust, pump pressure, torque, bit rotation speed, and depth. Subsequently, symbolic regression (SR) is employed to extract functional relationships between MWD parameters and UCS. Among the compared SR models, the sparse identification of nonlinear dynamics algorithm via sequentially thresholded-least squares (STLSQ–SINDy) achieves the most favorable balance between simplicity and predictive accuracy, with a test coefficient of determination (<i>R</i><sup>2</sup>) of 0.9413 and a root mean square error (RMSE) of 5.53 MPa. Nonparametric tests and residual diagnostics further confirm its consistently superior performance under the current data conditions. To reduce the potential optimism associated with random partitioning in a small dataset, leave-one-hole-out cross-hole validation is conducted. Under this more conservative setting, STLSQ–SINDy achieves a mean test <i>R</i><sup>2</sup> of 0.8709 ± 0.0471, indicating comparatively stable cross-hole transferability within the five boreholes. The optimal analytical expression is then coupled with filtered MWD waveforms to reconstruct rock UCS profiles for five boreholes, which capture the stratified strength hierarchy and locate critical depth windows. Overall, this work presents a systematic application of sparse SR to field MWD data and demonstrates the potential of the MWD–SR framework for low-cost rock strength prediction.</p>\u0000 </div>","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"50 13","pages":"5039-5067"},"PeriodicalIF":3.6,"publicationDate":"2026-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148704510","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}