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Search Results (441)

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Keywords = cohesive element method

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27 pages, 15240 KB  
Article
Effect of Relative Humidity on DEM Contact Parameter Calibration for Lanthanum Oxide Powder
by Shiqi Liu, Zonggong Liang, Like Tao and Yan Wang
Processes 2026, 14(17), 2825; https://doi.org/10.3390/pr14172825 - 2 Sep 2026
Abstract
Lanthanum oxide (La2O3) powder is widely used in optical, catalytic, and ceramic applications, but its flowability is highly sensitive to ambient humidity, and reliable discrete element method (DEM) contact parameters under varying moisture conditions remain unavailable. To address this, [...] Read more.
Lanthanum oxide (La2O3) powder is widely used in optical, catalytic, and ceramic applications, but its flowability is highly sensitive to ambient humidity, and reliable discrete element method (DEM) contact parameters under varying moisture conditions remain unavailable. To address this, the present study introduces coarse-graining theory to reduce computational cost while preserving macroscopic mechanical equivalence, and systematically calibrates the DEM contact parameters of La2O3 powder under three controlled humidity levels (5%, 50%, and 95% RH) using the Hertz–Mindlin with JKR contact model. The angle of repose was measured as the macroscopic response. A Plackett–Burman design was employed to screen three significant factors from seven candidate parameters, followed by a steepest ascent test to determine optimal parameter ranges, and a Box–Behnken design to construct response surface models. Quantitative relationships were established between the angle of repose and the particle–particle static friction coefficient, particle–particle rolling friction coefficient, and particle–stainless steel static friction coefficient under each humidity condition. The calibrated parameters were verified against experimental anglef of repose measurements, showing good agreement, with errors of 0.48%, 2.15%, and 1.67% for the three humidity levels, respectively. This work provides reliable DEM parameters specifically for the three tested relative humidity levels (5%, 50%, and 95% RH) under the specific conditioning procedures used, and offers a calibration framework extendable to other moisture-sensitive cohesive powders. Full article
(This article belongs to the Section Materials Processes)
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25 pages, 843 KB  
Systematic Review
Characteristics of Communication Competency in Nurse Managers: A Systematic Review
by Alberto González-García, Pilar Marqués-Sánchez, Cristian Martín-Vázquez, Gema Serrano-Gemes, David Bermejo-Martínez and Silvia Pérez-González
Healthcare 2026, 14(17), 2814; https://doi.org/10.3390/healthcare14172814 - 2 Sep 2026
Abstract
Background: Communication competence is essential for nurse managers because it facilitates team coordination, organizational alignment, shared decision-making, and the quality and safety of care. Despite its acknowledged importance, the key traits of this competence have not been systematically summarized. Objective: We aimed to [...] Read more.
Background: Communication competence is essential for nurse managers because it facilitates team coordination, organizational alignment, shared decision-making, and the quality and safety of care. Despite its acknowledged importance, the key traits of this competence have not been systematically summarized. Objective: We aimed to identify and describe the traits of communication competence among nurse managers in healthcare settings, determine the most frequently reported traits, and explore the contextual, behavioral, and organizational factors associated with its expression. Methods: A systematic review was conducted in accordance with PRISMA guidelines and registered with PROSPERO (CRD420261356065). Searches were performed in Web of Science, Scopus, PubMed, and CINAHL, covering 1 January 2016 to 1 February 2026. Peer-reviewed studies using quantitative, qualitative, or mixed methods that addressed communication competence from the perspective of nurse managers were included. Data analysis involved a structured narrative synthesis that combined frequency analysis of identified traits with contextual analysis of communication competence. Results: Fifteen studies met the inclusion criteria. After comparison, grouping, and conceptual refinement, 23 communication traits were identified. The most frequently reported traits were Active Listening and Verification of Understanding, along with Strategic and Multi-Channel Communication Planning (each 10.14%), followed by Building Trust-Based Professional Relationships (9.18%), Open and Transparent Communication (8.21%), and Clear, Consistent, and Effective Message Design (7.73%). The results also indicated that communication competence is context-dependent and linked to organizational factors such as structural empowerment, shared decision-making, and managerial visibility. Empowering communication behaviors correlated with psychological empowerment, team cohesion, staff retention, and perceived improvements in quality of care. Conversely, limiting behaviors were associated with declines in trust, dignity, and professional functioning. Conclusions: Communication competence among nurse managers is not merely a peripheral interpersonal trait but a core managerial skill with a well-defined foundation. Its key elements suggest that this competence is built on responsiveness, strategic intentionality, and relational credibility. Therefore, communication competence should be viewed as an organizationally significant capability that directly affects team performance, workforce sustainability, psychological safety, and the quality of care. Implications for Nursing Management: Recognizing a core set of communication traits provides a useful basis for leadership training, simulation exercises, and managerial evaluations. Improving this skill could strengthen team unity, boost staff involvement, and enhance the quality of care as healthcare settings become more complex. Full article
(This article belongs to the Special Issue Nursing Management and Quality of Life in Healthcare Settings)
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33 pages, 2499 KB  
Article
Quantitative Design and Residual Strength Assessment of Adhesive–Rivet Hybrid Repairs for Perforated Aluminum Alloy Plates
by Antai Ren, Teng Zhang, Tao An and Liying Ma
Polymers 2026, 18(17), 2126; https://doi.org/10.3390/polym18172126 - 31 Aug 2026
Viewed by 156
Abstract
Perforation damage can significantly reduce the load-carrying capacity of aluminum alloy plates. Adhesive–rivet hybrid repair combines the continuous load-transfer capability of adhesive bonding with the reliable mechanical connection provided by riveting; however, quantitative methods for matching damage size, rivet parameters, and adhesive load-carrying [...] Read more.
Perforation damage can significantly reduce the load-carrying capacity of aluminum alloy plates. Adhesive–rivet hybrid repair combines the continuous load-transfer capability of adhesive bonding with the reliable mechanical connection provided by riveting; however, quantitative methods for matching damage size, rivet parameters, and adhesive load-carrying capacity remain insufficient. In this study, perforated 2A12-T4 aluminum alloy plates were investigated. Based on the equal-strength criterion and load-transfer equilibrium, a strength-matching relationship between the adhesive layer and blind rivets was established, and a residual-strength assessment method for the repaired structure was proposed. Two typical two-part epoxy adhesives with different shear strengths, Araldite-2015 and Lord 320/322, which have application backgrounds in aerospace structural joining and repair, were selected. Combined with blind rivets of different load-carrying capacities, they formed strong-adhesive/weak-rivet and weak-adhesive/strong-rivet configurations to investigate the mechanical response under different adhesive–rivet strength-matching conditions. Quasi-static tensile tests, digital image correlation (DIC) measurements, and finite element analyses incorporating a cohesive zone model and a ductile damage criterion were performed to investigate load distribution and failure behavior. The results show that the maximum deviation between the finite element predictions and the experimental failure loads is 5.02%. Before significant adhesive failure, the adhesive layer carries up to 67.25% of the transferred load, indicating a substantial load-sharing effect on the rivets. The hybrid-repaired structures mainly fail along the cross-section through the outermost rivet holes. The proposed residual-strength model shows agreement with the investigated experimental dataset, with a maximum deviation of 6.37%; because the reduction coefficient contains an empirical calibration component, broader predictive applicability requires independent validation. For the six repair configurations, the strength recovery ratios all exceed 74%, the maximum strengthening ratio reaches 55.49%, and the maximum value of the newly proposed repair ratio is 0.48 kN/g. Unlike previous studies that mainly focused on comparisons of joining methods, failure behavior, or individual process parameters, this study establishes a quantitative framework that links damage size and material load-carrying capacity with adhesive–rivet parameter matching and post-repair residual-strength assessment. The proposed method provides theoretical and experimental support for the design and strength evaluation of adhesive–rivet hybrid repairs for perforated aluminum alloy thin plates under fully cured conditions. Full article
30 pages, 56392 KB  
Article
Numerical and Experimental Investigations of the Impact Dynamics of a Planetary Exploration Penetrator Probe
by Vincent Feldmann, Thomas Reimer, Isil Sakraker Özmen, Anton Schneider, Silvio Schröder, Torben Wippermann and Lars Witte
Aerospace 2026, 13(9), 795; https://doi.org/10.3390/aerospace13090795 - 31 Aug 2026
Viewed by 82
Abstract
Small penetrator probes have been proposed regularly as low(er) cost landing elements, particularly for network science. This study reviews such a concept with regard to its soil penetration capability with numerical and experimental investigations. A reference micro Mars lander (MML) is considered to [...] Read more.
Small penetrator probes have been proposed regularly as low(er) cost landing elements, particularly for network science. This study reviews such a concept with regard to its soil penetration capability with numerical and experimental investigations. A reference micro Mars lander (MML) is considered to deliver a 10 kg payload to the Martian surface. It decelerates the penetrator probe with a mechanical decelerator to 40–60 m/s before impact. The remaining kinetic energy is distributed to the soil and an internal load limiter on impact, which restricts the maximum g-load acting on the payload. A semi-empirical force–displacement law and a discrete element method simulation were used to describe penetration behavior. Major impact force constituents are the velocity-dependent, drag-like displacement of the soil particles and the compaction of soil along the penetration path. Based on the simulation results, a test penetrator was designed and tested by impacting it on different soil conditions with a maximum impact velocity of 10 m/s. Cohesive Mars soil simulant, non-cohesive quartz sand, and stones of various sizes were used to assess different impact conditions. The comparison of test and simulation data identifies their respective capabilities and limitations. Recommendations for use and findings for further research are deduced therefrom. Full article
(This article belongs to the Section Astronautics & Space Science)
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25 pages, 2018 KB  
Article
Harnessing Symmetry in Stiffness Matrix Formulation for Tensegrity Structures with Equal Cable Length via Linear Stiffness Theory
by Yingyu Zhao, Ani Luo and Heping Liu
Symmetry 2026, 18(8), 1404; https://doi.org/10.3390/sym18081404 - 20 Aug 2026
Viewed by 354
Abstract
Tensegrity structures, due to their lightweight and self-equilibrating characteristics, have found extensive applications across various engineering fields. The introduction of equal cable length as an additional geometric constraint enables a high degree of geometric symmetry, resulting in uniform internal force distribution and predictable [...] Read more.
Tensegrity structures, due to their lightweight and self-equilibrating characteristics, have found extensive applications across various engineering fields. The introduction of equal cable length as an additional geometric constraint enables a high degree of geometric symmetry, resulting in uniform internal force distribution and predictable mechanical responses. However, existing stiffness matrix assembly methods predominantly rely on conventional node-element topological connectivity matrices confined to classical one-to-one force-displacement systems, struggling to exploit the geometric regularities inherent in equal-length constraints and highly symmetric configurations. To address this, the paper proposes a stiffness matrix modeling method tailored for equal-cable-length tensegrity structures within the linear stiffness framework. A generalized connectivity matrix is introduced to unify the topological description of struts and cables while integrating displacement compatibility, internal equilibrium, and geometric constraints into a cohesive algebraic system. Leveraging symmetry properties and member categorization by loading type, the method embeds equal-length and symmetry grouping information directly into assembly, significantly reducing independent variables and construction complexity. A finite element model is established for numerical implementation, and experiments on a three-bar tensegrity structure validate the theoretical model, with minor deviations confirming its reliability. Full article
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25 pages, 27217 KB  
Article
Mechanism of Hydraulic Fracture Initiation and Propagation in Deep Coal Rock with Complex Cleat Systems During Fracturing Stimulation
by Xiaoxiang Wang, Zongrui Wu, Xiao Qu, Zhiwei Huang, Desheng Zhou, Peng Zheng and Haiyang Wang
Processes 2026, 14(15), 2525; https://doi.org/10.3390/pr14152525 - 6 Aug 2026
Viewed by 466
Abstract
Deep coalbed methane (CBM) resources are abundant and represent a critical component of future energy supply and carbon reduction strategies. However, deep coal seams are characterized by well-developed cleat systems and high Poisson’s ratios, rendering the mechanisms of hydraulic fracture initiation, propagation, and [...] Read more.
Deep coalbed methane (CBM) resources are abundant and represent a critical component of future energy supply and carbon reduction strategies. However, deep coal seams are characterized by well-developed cleat systems and high Poisson’s ratios, rendering the mechanisms of hydraulic fracture initiation, propagation, and complex fracture network development insufficiently understood. In this study, deep coal rock at a burial depth of 2700 m is investigated. A finite element–based hydraulic fracturing model incorporating complex face-cleat and end-cleat networks is established by explicitly representing cleat geometry, mechanical properties, fluid leak-off behavior, and hydraulic loading conditions. Using this model, the effects of cleat inclination angle, horizontal stress difference, and displacement on fracture evolution are systematically analyzed. The results indicate that when face cleats are orthogonal to the maximum horizontal principal stress, fractures preferentially penetrate cleats and propagate along the maximum stress direction. In contrast, when face cleats form acute angles with the maximum horizontal stress, pronounced branching fractures develop along both face and end cleats, with propagation increasingly dominated by face cleats as the angle decreases. Increasing horizontal stress difference suppresses fracture branching, leading to simpler fracture networks but greater total fracture length and maximum fracture width. Moreover, under identical injection pressures, the equal-pressure fracture length increases, indicating enhanced fracture propagation capacity. With increasing displacement, fracture networks evolve from simple to complex patterns, accompanied by accelerated propagation and enlarged fracture widths; however, excessive displacement intensifies fluid leak-off, ultimately reducing the equal-pressure fracture length. Full article
(This article belongs to the Section Energy Systems)
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29 pages, 49512 KB  
Article
Evaluation of Structural and Phase Stability of Multi-Component Heat-Resistant Coatings Based on Alloyed Iron and Nickel Aluminides
by Vitaliy Pavlovich Kulevich, Victor Georgievich Shmorgun, Artem Igorevich Bogdanov, Oleg Viktorovich Slautin, Dmitriy Vladimirovich Pronichev and Leonid Moiseevich Gurevich
J. Manuf. Mater. Process. 2026, 10(8), 274; https://doi.org/10.3390/jmmp10080274 - 1 Aug 2026
Viewed by 286
Abstract
This study investigates the synthesis, phase evolution, and high-temperature oxidation behavior of multi-component aluminide coatings on EP670 (Fe-Ni base), EP718 (Ni-Fe base), and EP648 (Ni-base) superalloys. The coatings were produced using an economical hot-dip aluminizing method, followed by diffusion heat treatment at 1100 [...] Read more.
This study investigates the synthesis, phase evolution, and high-temperature oxidation behavior of multi-component aluminide coatings on EP670 (Fe-Ni base), EP718 (Ni-Fe base), and EP648 (Ni-base) superalloys. The coatings were produced using an economical hot-dip aluminizing method, followed by diffusion heat treatment at 1100 °C. In the as-deposited state, the coatings exhibit a heterogeneous structure consisting of an aluminum matrix with various Al-rich intermetallic inclusions. Subsequent heat treatment promotes the redistribution of chemical elements, leading to the elimination of free aluminum and the stabilization of a protective β-phase matrix. Long-term oxidation tests were performed at 900 °C, 1100 °C, and 1300 °C for up to 1000 h. At 1100 °C, the coatings on EP670 and EP648 demonstrated high stability, following a near-parabolic oxidation law and significantly reducing mass gain compared to uncoated substrates. However, at 1100 °C, the EP718 alloy underwent catastrophic failure within 200 h due to pest oxidation, disintegrating into an oxide powder—a phenomenon quantitatively confirmed by the kinetic exponent dropping below 1.0. At 1300 °C, the thermal limit for all coatings was established, with protective properties failing after 50 h. Based on the aluminum depletion kinetics, the service life at 1100 °C was estimated at 1300 h for EP670 and 2200 h for EP648. Scratch testing confirmed a complete absence of interfacial adhesive cracks across all systems. Contact loading triggered only cohesive cracks localized within the near-surface zone of the coatings. The results highlight the superior thermodynamic compatibility of the EP670 and EP648 systems with aluminide coatings, making them the most suitable candidates for extreme high-temperature applications. Full article
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32 pages, 5937 KB  
Review
Research Progress on Wear Mechanisms and Surface Engineering of Agricultural Soil Contact Components for Tillage and Seeding
by Peichen Chu, Honglei Zhang, Zhao Ding, Meng Fang, Zhan Su and Zhong Tang
Lubricants 2026, 14(8), 293; https://doi.org/10.3390/lubricants14080293 - 29 Jul 2026
Viewed by 684
Abstract
Agricultural soil contact components, including ploughshares, rotary blades, and furrow openers, form the active interface between machinery and complex field media. Operating in multiphase environments, these tools face severe abrasive wear, impact fatigue, and interfacial adhesion. These destructive forces irreversibly alter edge geometry [...] Read more.
Agricultural soil contact components, including ploughshares, rotary blades, and furrow openers, form the active interface between machinery and complex field media. Operating in multiphase environments, these tools face severe abrasive wear, impact fatigue, and interfacial adhesion. These destructive forces irreversibly alter edge geometry and drastically degrade macroscopic operation quality. This review integrates tillage and precision seeding components into a unified tribological framework. It highlights the nonlinear relationship between microscopic material removal and geometric edge retention. Profile degradation is heavily dictated by soil texture, where sandy soils cause micro-cutting, clay soils induce severe adhesion, and gravelly soils produce impact fracture. To predict these complex wear behaviours accurately, coupled multiphysics numerical simulation using the discrete element method for particle flow dynamics and finite element analysis for transient contact stress provides a highly robust methodology. Mitigating these failures requires a functionally zoned surface engineering approach. Carbide hardfacing offers localized abrasion resistance, while polymer composite layers and bionic nonsmooth structures effectively interrupt continuous liquid films in wet cohesive soils. Ultimately, integrating online multidimensional sensing with full life cycle digital-twin models represents the future trajectory for developing adaptive and highly durable agricultural equipment. Full article
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25 pages, 70011 KB  
Article
DEM Study on Moisture-Induced Flow Behavior and Force-Chain Evolution of Rice Seeds During Silo Discharge
by Lintao Chen, Jun Wang, Xiaojun Peng, Xueshen Chen, Minna Wang, Xiangwei Mou, Minghui Jiang, Xu Ma and Huanyu Jiang
Appl. Sci. 2026, 16(14), 7132; https://doi.org/10.3390/app16147132 - 16 Jul 2026
Viewed by 275
Abstract
Affected by moisture cohesion, wet rice seeds exhibit poor flowability and frequent arching blockage during silo discharging, which seriously restricts stable grain storage and conveying. To address this issue and reveal its intrinsic flow mechanism, this study establishes a discrete element method (DEM) [...] Read more.
Affected by moisture cohesion, wet rice seeds exhibit poor flowability and frequent arching blockage during silo discharging, which seriously restricts stable grain storage and conveying. To address this issue and reveal its intrinsic flow mechanism, this study establishes a discrete element method (DEM) model for wet rice seed-silo systems adopting the Hertz-Mindlin with Johnson-Kendall-Roberts (JKR) contact model, which incorporates surface energy to reflect moisture-induced cohesive effects. The model is verified via physical silo discharge tests, with consistent flow patterns, wall pressure error below 3.7% and discharge time error of 2.14%. EDEM parametric simulations are conducted to analyze velocity fluctuation at different silo heights. Coordination number and normalized contact force distribution are adopted to assess micro-contact force distribution in discharge areas, and a force chain extraction algorithm is used to explore variations in force chain length and orientation. Results demonstrate that during discharge, average particle velocity drops from silo bottom to top with growing fluctuation amplitude, presenting obvious stratified flow and intense upper-layer velocity pulsation. Weak contacts dominate wet rice seed groups and conform to exponential decay distribution. The force chain network undergoes three evolution phases: formation, force arch generation and collapse. Quantitative analysis reveals long force chain proportion falls steadily from 81.40% to 3.68% throughout discharge. Short force chains rise to 60.54% in the arch-forming stage and reach 96.32% after arch collapse. Horizontal force chains account for a maximum of 71.09% during arch formation, while vertical ones decline from 99.52% initially to 61.57% post collapse. This research offers mechanical references and quantitative parameters for the design and operation of silos for wet granular farm grains like rice seeds, and is particularly relevant to post-harvest engineering, grain storage safety, and agricultural machinery design. Full article
(This article belongs to the Section Agricultural Science and Technology)
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21 pages, 4177 KB  
Article
Design of Microcapsules for Self-Healing Concrete Based on Fracture Modeling of RVE and UC with PBC Using XFEM and CS Technique
by John Hanna and Martin Drieschner
Materials 2026, 19(13), 2878; https://doi.org/10.3390/ma19132878 - 6 Jul 2026
Viewed by 433
Abstract
The fundamental issue in designing encapsulation-based self-healing concrete structures is the design of microcapsules. However there are few studies in the literature on this topic; not only is the fracture of microcapsules crucial for releasing the healing agent to heal fractures in the [...] Read more.
The fundamental issue in designing encapsulation-based self-healing concrete structures is the design of microcapsules. However there are few studies in the literature on this topic; not only is the fracture of microcapsules crucial for releasing the healing agent to heal fractures in the concrete matrix, but also the amount of the healing agent and expected crack widths. Therefore, in this paper, a novel design method of dimensioning microcapsules for encapsulation-based self-healing concrete (SHC) with consideration for a sufficient volume of healing agent to heal a specific crack width is developed. It is based on the configuration of the representative volume element (RVE) and the unit cell (UC), and associates them with the volume fraction (Vf) and the crack width as variables with applied periodic boundary conditions (PBCs). It is also validated through numerical fracture modeling using the eXtended Finite Element Method (XFEM), and cohesive surface (CS) technique. Effects of interfacial cohesive properties, the microcapsule size, and volume fraction on the load carrying capacity and the crack pattern are investigated numerically. The obtained results are in good agreement with the literature. The developed design method can serve as a valuable tool for obtaining a preliminary design of microcapsules for SHC. Full article
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16 pages, 16169 KB  
Article
Study on the Modification Method of Horizontal Additional Stress Under Strip Surcharge Considering Elastoplastic Characteristics of the Subgrade
by Tao Chen, Guojiang Zheng, Chaoyi Sun, Bin Li, Nan Ge, Pengpeng Wang, Mingxing Zhu and Zhengzhao Liang
Buildings 2026, 16(13), 2664; https://doi.org/10.3390/buildings16132664 - 5 Jul 2026
Viewed by 324
Abstract
Aiming at the problem that strip surcharge in coastal soft soil foundations causes lateral squeezing and endangers the safety of adjacent existing bridge pile foundations, the traditional Boussinesq elastic theory cannot reflect the true elastoplastic characteristics of the soil and tends to underestimate [...] Read more.
Aiming at the problem that strip surcharge in coastal soft soil foundations causes lateral squeezing and endangers the safety of adjacent existing bridge pile foundations, the traditional Boussinesq elastic theory cannot reflect the true elastoplastic characteristics of the soil and tends to underestimate the actual horizontal additional stress. This paper establishes a two-dimensional plane strain finite element model and, based on the calibration of pure elastic theoretical solutions, carries out extensive comparative analyses under elastoplastic foundation conditions. Through Pearson correlation and random forest sensitivity analyses, it is clarified that the internal friction angle, load ratio, and normalized distance ratio are the core control variables affecting the redistribution of horizontal additional stress, thereby demonstrating the limitations of the influence of elastic modulus and cohesion. The study reveals the nonlinear amplification mechanism of horizontal stress transfer caused by the penetration of the deep plastic zone within the foundation, as well as the physical evolution law of the stress correction factor, which initially exhibits a Gaussian peak enhancement and subsequently decays exponentially with spatial distance. Based on these mechanisms, a combined prediction formula for the horizontal additional stress correction factor is proposed, achieving an R2 = 0.903, and a safety evaluation chart for the correction factor is constructed to quantify high-risk areas. The results indicate that when the normalized distance ratio is greater than or equal to 4, the elastoplastic squeezing effect essentially dissipates. The proposed modification method effectively delineates the applicable boundary of the elastic solution and provides a theoretical basis for the bearing capacity calculation and safety control of passively loaded pile foundations in soft soil regions. Full article
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19 pages, 7978 KB  
Article
Calibration and Validation of a 3D Discrete Element Model with a Moment Transfer Law for the Quasi-Static Behavior of Concrete
by Ahmad Omar and Laurent Daudeville
Buildings 2026, 16(13), 2601; https://doi.org/10.3390/buildings16132601 - 29 Jun 2026
Viewed by 292
Abstract
The Discrete Element Method (DEM) provides an efficient framework for simulating concrete under severe loading conditions involving cracking, discontinuities, and fragmentation. However, DEM formulations based on spherical rigid particles may produce an excessively brittle macroscopic response because particle rolling is insufficiently constrained, particularly [...] Read more.
The Discrete Element Method (DEM) provides an efficient framework for simulating concrete under severe loading conditions involving cracking, discontinuities, and fragmentation. However, DEM formulations based on spherical rigid particles may produce an excessively brittle macroscopic response because particle rolling is insufficiently constrained, particularly under compression. To overcome this limitation, this study develops a three-dimensional DEM model for concrete incorporating a Moment Transfer Law (MTL) that introduces rolling resistance while preserving the computational efficiency of spherical particles. The proposed model combines cohesive and contact interactions with an elastoplastic rolling law formulated at the local scale. A calibration strategy is established to identify both elastic and nonlinear parameters from quasi-static uniaxial compression and tension tests. The model is applied to three concretes with experimental compressive strengths ranging from 33.8 to 67 MPa and splitting tensile strengths ranging from 3.0 to 4.7 MPa. The numerical simulations reproduce the compressive peak strength with relative errors below 1.2% and the available tensile strength values with relative errors below 0.7%. The introduction of the MTL significantly improves the compressive post-peak response by limiting excessive rolling between spherical particles and has a limited influence on the simulated tensile response while reproducing the available tensile strength values. The post-peak ductility is satisfactorily reproduced for the wet concrete, whereas it is overestimated for the concrete with higher compressive strength and the dry ordinary concrete. Because direct experimental uniaxial tensile stress–strain curves were not available, the tensile validation is restricted to splitting tensile strength. The simulated tensile post-peak response should therefore be regarded as a brittle modeling assumption rather than as a fully validated prediction. Overall, the proposed DEM–MTL formulation provides a robust and computationally efficient approach for reproducing the quasi-static compressive behavior and tensile strength level of concrete. Full article
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9 pages, 453 KB  
Review
A Review on Numerical Simulation and Modeling Techniques in Blast Furnace Ironmaking
by Shanchao Gao, Xu Geng, Xiaobo Zhang, Zhe Jiang, Zhenghong Zhao and Yanhui Zhang
Processes 2026, 14(12), 2014; https://doi.org/10.3390/pr14122014 - 20 Jun 2026
Cited by 1 | Viewed by 455
Abstract
Blast furnace (BF) ironmaking is a complex multiphase process involving gas–solid flow, heat transfer, chemical reactions, burden movement, and phase transformation under high-temperature conditions. Since many internal states of the blast furnace cannot be directly observed during operation, numerical simulation and mathematical modeling [...] Read more.
Blast furnace (BF) ironmaking is a complex multiphase process involving gas–solid flow, heat transfer, chemical reactions, burden movement, and phase transformation under high-temperature conditions. Since many internal states of the blast furnace cannot be directly observed during operation, numerical simulation and mathematical modeling have become important tools for understanding furnace behavior and optimizing operational parameters. This paper reviews recent advances in blast furnace numerical simulation and internal state reconstruction methods. Existing approaches, including packed-bed flow models, cohesive zone reconstruction methods, burden distribution models, and temperature field prediction methods, are summarized and discussed. In addition, the evolution of blast furnace mathematical models from early one-dimensional steady-state formulations to modern three-dimensional multifluid and hybrid simulation approaches is reviewed. Recent developments in computational fluid dynamics (CFD), the discrete element method (DEM), digital twin, and data-driven modeling are also discussed. Compared with traditional simplified models, modern multidimensional and hybrid approaches show improved capability in describing asymmetric furnace inner states, multiphase transport behavior, and operational parameter effects under industrial conditions. However, challenges still remain in achieving computational efficiency, parameter calibration, multiphase coupling, and real-time industrial application. Future studies are expected to focus on the integration of mechanism-based simulation and intelligent data-driven methods to improve prediction accuracy, operational adaptability, and intelligent control capability in blast furnace ironmaking. Full article
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18 pages, 3551 KB  
Article
Toward a Simple Design Approach for Soil Slope Reinforcement with Curing Agent
by Wei Wang, Longfei Zhang, Dajun Mao, Xuxiong Zhang, Zeying Li, Yan Dong, Yanbing Zhao, Yan Zhang and Yu Tian
Appl. Sci. 2026, 16(12), 6005; https://doi.org/10.3390/app16126005 - 13 Jun 2026
Viewed by 335
Abstract
Landslides are the most common geological hazards, and chemical reinforcement is an effective method for enhancing the stability of soil slopes. Based on the coupled Eulerian–Lagrangian method, finite element analyses were conducted to develop a simple design approach for soil slope reinforcement using [...] Read more.
Landslides are the most common geological hazards, and chemical reinforcement is an effective method for enhancing the stability of soil slopes. Based on the coupled Eulerian–Lagrangian method, finite element analyses were conducted to develop a simple design approach for soil slope reinforcement using the curing agent. First, the effects of internal friction angle, cohesion, soil unit weight, slope height and angle on the slope stability were systematically quantified through 93 numerical cases. On this basis, an empirical formula was established for the factor of safety (FOS) of soil slope, and a method for determining the failure mode was proposed using a dimensionless parameter and two critical values related to slope angle. Subsequently, the reinforcement performance of the SH curing agent was investigated by varying the reinforcement position and length. The results indicate that the reinforcement of Case I-II-III and Case I-II provide the best performance, and the optimum reinforcement length was determined for different slope conditions. For slope angles ranging from 25° to 65°, the FOS after reinforcement was found to increase by 12.1% to 18.8% compared with that before reinforcement. Based on the FE results, empirical formulae for predicting the FOS of reinforced slope were further developed. Finally, a simple design approach was proposed for soil slope reinforcement with curing agent. The proposed method provides a convenient and effective reference for engineering practice in soil slope reinforcement with curing agents. Full article
(This article belongs to the Section Civil Engineering)
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25 pages, 14083 KB  
Article
Vertical Bearing Behavior and Capacity Calculation Method of Rock-Socketed Self-Drilling Hollow Bar Micropiles
by Fengjun Liu, Xiao Yang and Yiyao Sun
Appl. Sci. 2026, 16(12), 5898; https://doi.org/10.3390/app16125898 - 11 Jun 2026
Viewed by 236
Abstract
Self-drilling hollow bar micropiles (HBMPs), which integrate drilling, grouting, and reinforcement into a single process, have broad application prospects in mountainous transmission lines and offshore wind power projects. However, existing research has focused mainly on friction piles in soil layers, and there is [...] Read more.
Self-drilling hollow bar micropiles (HBMPs), which integrate drilling, grouting, and reinforcement into a single process, have broad application prospects in mountainous transmission lines and offshore wind power projects. However, existing research has focused mainly on friction piles in soil layers, and there is a lack of systematic understanding of the load-transfer mechanism and bearing capacity calculation method for rock-socketed HBMPs. Based on field static load tests of rock-socketed HBMPs, this study systematically investigates the vertical bearing behavior and capacity calculation method of single rock-socketed HBMPs through a combination of test data analysis, finite element numerical simulation, and theoretical analysis. The field test results show that the load-settlement curves of rock-socketed HBMPs are of a slowly varying type, exhibiting mixed friction-end-bearing characteristics. After data screening, the average Q-s curve of Pile No. 1 and Pile No. 5 was taken as the benchmark, and the representative ultimate bearing capacity of a single pile determined by the 40 mm settlement criterion is 5860 kN. The test data of Pile No. 3 and Pile No. 4 were retained as independent validation data. A three-dimensional finite element model considering the cohesive contact behavior at the pile–rock/soil interface was established using ABAQUS. After calibration with the test results, the error between the simulated and measured bearing capacity is −3.4%, demonstrating good model reliability. Parametric analysis indicates that the bearing capacity increases linearly with the grouting volume increase rate Vinc, with the expansion effect being the main enhancement mechanism; the improvement amplitude under hard rock conditions is significantly smaller than that in cohesive soils. The effect of uniaxial compressive strength qu of hard rock on bearing capacity is negligible because the capacity is controlled by the pile–rock interface shear strength. The bearing capacity increases approximately linearly with the rock-socketed depth Lr, and a minimum rock-socketed depth of 1.0 m is recommended. Analysis of the load-transfer mechanism shows that rock-socketed HBMPs rely mainly on shaft resistance (accounting for 90.6%), and the axial force decays significantly along the pile length. Elastic compression of the pile accounts for 78% of the pile head settlement, and the limited displacement at the pile tip leads to insufficient mobilization of end bearing. A modified bearing capacity formula considering the grouting expansion effect is established with shaft resistance as the core. A hierarchical validation strategy is adopted to test its predictive ability: for the finite element cases not participating in parameter calibration, the prediction error is within ±2%; for the field test piles, the prediction error is +7.9%; and for Pile No. 3 and Pile No. 4, the errors are +1.7% and −2.1%, respectively. These values are significantly better than those of existing methods (errors ranging from −72.1% to +54.5%). The research results can provide a theoretical basis for the design of single HBMP bearing capacity under rock-socketed conditions. Full article
(This article belongs to the Special Issue Advanced Technology in Geotechnical Engineering)
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