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15 pages, 10790 KB  
Article
Study on the Physicochemical Characteristics and Mechanism of Red Sandstone During High-Temperature and Cooling Processes
by Haixiao Lin, Yangyang Xu, Yongzhi Zhai, Qixuan Wang, Desheng Zhu, Qinting Wang, Cunhan Huang, Teng Teng, Yi Xue and Zhengzheng Cao
Processes 2026, 14(13), 2033; https://doi.org/10.3390/pr14132033 (registering DOI) - 23 Jun 2026
Abstract
With the development of deep Earth engineering, the stability of surrounding rocks subjected to high temperatures from fire hazards has become an increasingly prominent issue. Therefore, studying the physical and mechanical properties of rocks under different thermal treatment modes is of great significance [...] Read more.
With the development of deep Earth engineering, the stability of surrounding rocks subjected to high temperatures from fire hazards has become an increasingly prominent issue. Therefore, studying the physical and mechanical properties of rocks under different thermal treatment modes is of great significance for the design of underground engineering. Taking red sandstone as the research object, this paper conducts physical parameter tests, uniaxial compression tests, and X-ray diffraction (XRD) on specimens under real-time high temperatures and natural cooling in the range of 600–1000 °C, to analyze the variations in specimen composition, the correlation between physical and mechanical properties and temperature, and to explore the underlying mechanisms. The results show that under both real-time high temperatures and natural cooling, the volume of sandstone increases while the mass decreases with rising temperature. At 1000 °C, the volume expansion rates are 3.30% and 3.80%, and the mass loss rates are 6.30% and 5.60%, respectively. Mechanical parameters, including peak strength, elastic modulus, and peak strain under the two treatments, all deteriorate significantly compared with those at room temperature. At 1000 °C, peak strength decreases by 54.83% and 36.26%, elastic modulus decreases by 74.55% and 67.96%, and peak strain increases by 65.63% and 43.75%, respectively. High-temperature-induced changes in the internal mineral structure and composition of sandstone are the main causes of rock mechanical property deterioration. During the cooling process, thermal shrinkage and recrystallization of mineral particles densify the rock structure; therefore, the compressive strength of naturally cooled sandstone is higher than that under real-time high temperatures. This study can provide theoretical guidance for the repair and reinforcement of rock engineering after high-temperature action. Full article
(This article belongs to the Section Materials Processes)
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2 pages, 138 KB  
Retraction
RETRACTED: Khan et al. Application of Machine Learning and Multivariate Statistics to Predict Uniaxial Compressive Strength and Static Young’s Modulus Using Physical Properties Under Different Thermal Conditions. Sustainability 2022, 14, 9901
by Naseer Muhammad Khan, Kewang Cao, Qiupeng Yuan, Mohd Hazizan Bin Mohd Hashim, Hafeezur Rehman, Sajjad Hussain, Muhammad Zaka Emad, Barkat Ullah, Kausar Sultan Shah and Sajid Khan
Sustainability 2026, 18(13), 6379; https://doi.org/10.3390/su18136379 (registering DOI) - 23 Jun 2026
Abstract
The journal retracts the article titled “Application of Machine Learning and Multivariate Statistics to Predict Uniaxial Compressive Strength and Static Young’s Modulus Using Physical Properties under Different Thermal Conditions” [...] Full article
(This article belongs to the Special Issue Advances in Rock Mechanics and Geotechnical Engineering)
18 pages, 914 KB  
Article
Fractal Characteristics of Coal Structure and Fluid Transport During Compression Failure Process
by Teng Teng and Wang Yuming
Fractal Fract. 2026, 10(6), 421; https://doi.org/10.3390/fractalfract10060421 (registering DOI) - 21 Jun 2026
Viewed by 89
Abstract
The fractal characteristics of coal pore–fracture networks and their evolution under compression are essential for predicting rock mass failure and fluid transport. This study combines micro-CT scanning with fractal theory and seepage mechanics to investigate the structural evolution of coal under uniaxial compression [...] Read more.
The fractal characteristics of coal pore–fracture networks and their evolution under compression are essential for predicting rock mass failure and fluid transport. This study combines micro-CT scanning with fractal theory and seepage mechanics to investigate the structural evolution of coal under uniaxial compression and its impact on fluid transport. CT scans were performed at four characteristic stages (initial, elastic, plastic, and failure) to reconstruct three-dimensional fracture networks. Quantitative analysis reveals that fracture porosity increases sequentially from 0.44% to 5.01%, with the failure stage reaching 11.4 times the initial value. Fracture length and aperture distributions follow power-law scaling, and their fractal dimensions exhibit distinct evolution patterns: length dimension increases from 2.43 to a peak of 2.56 in the plastic stage and then drops to 2.47 at failure, while aperture dimension decreases from 2.29 to a trough of 2.12 before rebounding to 2.26. These patterns reflect a dynamic adjustment of network complexity, transitioning from primary fractures to micro-fracture dominance and finally to main fracture coalescence. Based on the Knudsen number, three diffusion regimes of Fick, transition and Knudsen are identified. A fractal permeability model is developed by idealizing the pore space as tortuous capillaries, showing that permeability scales with the fourth power of the maximum pore diameter and is positively influenced by the fractal dimension and the number of large pores. Furthermore, a coupled seepage–stress model is derived, incorporating pressure transmission, shear transmission, and crack opening coefficients. The damage variable is expressed as a function of stress level and fractal dimension. These findings provide theoretical support for predicting gas transport and failure behavior in coal under coupled hydro-mechanical conditions. Full article
(This article belongs to the Special Issue Fractal and Fractional Modelling in Deep Mining and Geomechanics)
23 pages, 9860 KB  
Article
Investigation on the Bonding Behavior of the Strand–Grout Interface in Ground Anchors
by Bum-Hee Jo, Dae-Jin Gwak and Sung-Ha Baek
Appl. Sci. 2026, 16(12), 6238; https://doi.org/10.3390/app16126238 (registering DOI) - 21 Jun 2026
Viewed by 144
Abstract
Although the long-term behavior of ground anchors depends fundamentally on interfacial behavior, the independent effect of the strand–grout interface on load loss has not been comprehensively investigated. This study establishes a physical model testing method that isolates the strand–grout interface and systematically investigates [...] Read more.
Although the long-term behavior of ground anchors depends fundamentally on interfacial behavior, the independent effect of the strand–grout interface on load loss has not been comprehensively investigated. This study establishes a physical model testing method that isolates the strand–grout interface and systematically investigates both short-term and long-term load loss behavior. Pull-out tests and long-term monitoring tests were conducted using grout uniaxial compressive strength (qu = 18–30 MPa) and bond length (Lb = 900–1500 mm) as primary design variables. Long-term monitoring confirmed that prestress loss at the strand–grout interface is induced by the progressive pull-out displacement of the strand over time, following a logarithmic decay pattern. The load reduction coefficient n was significantly more sensitive to Lb than to qu; n increased sharply from 0.015 to 0.069 as Lb decreased. Anchors with insufficient bond length exhibited secondary load reduction behavior that disrupted the stable log-linear decay, posing significant risk to long-term performance. Based on RMSE analysis of the fitted logarithmic model, a minimum monitoring period of approximately 50 days is recommended for reliable long-term prediction when bond length is adequate. These findings identify qu and Lb as the governing parameters, providing a quantitative basis for optimizing prestress design and enhancing the long-term reliability of anchor systems. Full article
(This article belongs to the Section Civil Engineering)
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31 pages, 20808 KB  
Article
Fracture Mode Transition and Energy Dissipation of Brittle Coal Under Confinement Induced by a Flexible Polyurea Coating
by Shan Ning, Weibing Zhu, Biao Fu, Pengjun Gao and Zishuo Jia
Polymers 2026, 18(12), 1538; https://doi.org/10.3390/polym18121538 (registering DOI) - 20 Jun 2026
Viewed by 195
Abstract
Brittle geomaterials such as coal and rock are prone to unstable failure under high stress and dynamic disturbances, where rapid release of stored elastic strain energy can trigger dynamic disasters. Polyurea, a high-strength and high-ductility elastomer, can form a continuous flexible coating on [...] Read more.
Brittle geomaterials such as coal and rock are prone to unstable failure under high stress and dynamic disturbances, where rapid release of stored elastic strain energy can trigger dynamic disasters. Polyurea, a high-strength and high-ductility elastomer, can form a continuous flexible coating on the surface of coal/rock to regulate their deformation–fracture behavior. Here, uniaxial compression tests were performed on coal specimens coated with polyurea layers of different thicknesses (0–1.25 mm). Acoustic emission (AE) and digital image correlation (DIC) were jointly employed to characterize macroscopic deformation, microcrack evolution, fracture-mode transition, and energy partitioning. The results show that polyurea provides passive lateral confinement that suppresses lateral expansion and shifts macroscopic failure from brittle splitting to progressive ductile damage. AE-based AF–RA analysis indicates that thicker coatings increase the normal stress and shear resistance along potential fracture planes, promoting a microfracture transition from shear-dominated to tension-dominated cracking. Energy analysis demonstrates that the coating enhances pre-peak energy dissipation via coordinated deformation with the coal, while thicker coatings (≥1.00 mm) exhibit pronounced post-peak elastic tensile deformation to absorb and buffer fracture-released energy, impeding the instantaneous energy release typical of bare coal. Moreover, the elastic energy index shows that polyurea markedly reduces impact tendency, with an appropriate thickness stabilizing specimens from strong to weak/non-impact propensity. These findings clarify the coupled confinement–fracture–energy regulation mechanisms of polyurea coatings and provide quantitative guidance for coating-thickness design to mitigate dynamic failure hazards in brittle materials. Full article
(This article belongs to the Section Polymer Networks and Gels)
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14 pages, 6695 KB  
Article
Anisotropic Mechanical Behavior and Localized Deformation Evolution in Q420 High-Strength Steel
by Nan Guo, Yangyang Li, Yaoyao Li, Xiqiang Ma, Xiao Wang and Chunyang Liu
Coatings 2026, 16(6), 731; https://doi.org/10.3390/coatings16060731 (registering DOI) - 18 Jun 2026
Viewed by 191
Abstract
Q420 high-strength steel exhibits pronounced anisotropy due to its rolling process, and conventional uniaxial tensile testing is incapable of acquiring strain field evolution information during the local necking stage. In this study, quasi-static uniaxial tensile tests were conducted on Q420 cold-rolled high-strength steel [...] Read more.
Q420 high-strength steel exhibits pronounced anisotropy due to its rolling process, and conventional uniaxial tensile testing is incapable of acquiring strain field evolution information during the local necking stage. In this study, quasi-static uniaxial tensile tests were conducted on Q420 cold-rolled high-strength steel sheets at six orientations (0°, 15°, 30°, 45°, 60°, and 90°) using Digital Image Correlation (DIC) technology. The evolution of the strain field and the corresponding stress–strain responses at different orientations were systematically investigated. The results show that the DIC technique effectively captured the full-field strain evolution of the specimens from uniform deformation to local necking and final fracture in all directions. Taking the 0° direction as an example, the local maximum engineering strain prior to fracture reached 35.866%, whereas the average fracture strain within the gauge section was only approximately 22.5%, corresponding to a ratio of approximately 1.6 and clearly demonstrating the severe strain concentration within the necking zone. The stress–strain curves corresponding to different rolling directions exhibited pronounced anisotropy. The tensile strength was highest in the 90° direction and lowest in the 0° direction; however, the 0° direction exhibited the best ductility, whereas the 45° direction showed the poorest ductility. Among the six orientations, the midpoint transverse engineering strain exhibited the largest absolute value in the 45° direction, further indicating that this orientation is the most susceptible to plastic instability. In this work, DIC-based full-field measurement was combined with multi-directional tensile testing to quantitatively characterize the relationship between local strain concentration and anisotropy. The findings provide high-precision experimental data for the calibration of anisotropic constitutive models and the optimization of forming processes. Full article
(This article belongs to the Special Issue Laser Welding and Cladding for Enhanced Mechanical Performance)
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23 pages, 3256 KB  
Article
Analysis of the Mechanism of Main Effects of Microscopic Parameters on Macroscopic Parameters in the PFC2D Parallel Bonding Model
by Ningbo Zhang, Tao Zhou and Yiming Cui
Appl. Sci. 2026, 16(12), 6150; https://doi.org/10.3390/app16126150 (registering DOI) - 17 Jun 2026
Viewed by 104
Abstract
To establish a quantitative mapping relationship between macro- and micro-parameters in the PFC2D parallel bonding model, and in view of the inherent complexity of the mutual validation process between laboratory experiments and parameter calibration, this paper takes uniaxial compression tests as the [...] Read more.
To establish a quantitative mapping relationship between macro- and micro-parameters in the PFC2D parallel bonding model, and in view of the inherent complexity of the mutual validation process between laboratory experiments and parameter calibration, this paper takes uniaxial compression tests as the mechanical reference. By combining orthogonal experimental design, Pearson correlation analysis and multivariate analysis of variance, this study systematically investigates the effects of 10 micro-parameters on 6 macro-mechanical indicators (modulus of elasticity E, Poisson’s ratio ν, uniaxial compressive strength σc, friction-to-cohesion ratio FCR, crack initiation strength σci and crack damage stress σcd). To reduce the coupling dimension between cohesion and internal friction angle in the calibration of PFC macro–micro parameters, this paper defines the Friction-to-Cohesion Ratio (FCR) as the ratio of the equivalent macroscopic angle of internal friction to the equivalent macroscopic cohesion, and systematically conducts sensitivity analyses of uniaxial compression simulations. The results indicate that the elastic modulus E is primarily governed by E, E¯, k¯ and Rf; the Poisson’s ratio ν is mainly influenced by E, k, E¯, k¯ and Rf; the uniaxial compressive strength σc, the crack initiation strength σci and the crack damage stress σcd are primarily regulated by σ¯c and Rf; whilst the Friction-to-Cohesion Ratio (FCR) is mainly affected by σ¯c, φ¯, Rf, c¯ and β; Elasticity parameters and strength parameters are governed by different micro-mechanisms, reflecting the fundamental decoupling of stiffness and strength in the PFC model. This study established a progressive ‘screening–validation–quantification’ sensitivity analysis framework, revealing the directional regulation patterns of various micro-parameters on macroscopic responses, thereby providing a theoretical basis for the targeted optimisation and efficient calibration of micro-parameters in PFC discrete element simulations. Full article
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18 pages, 20204 KB  
Article
Adhesion of Trivalent Chromium Coatings on Steel: Assessment by Tensile Testing and AFM Surface Energy Measurements
by Robin Guillon, Yannick Balcaen, Olivier Dalverny and Joel Alexis
Coatings 2026, 16(6), 724; https://doi.org/10.3390/coatings16060724 - 17 Jun 2026
Viewed by 181
Abstract
Hard chromium coatings are widely used for their excellent wear and corrosion resistance, but replacing conventional hexavalent chromium with safer trivalent chromium processes remains limited by adhesion-related issues. This study proposes a simple, quantitative method for evaluating the adhesion of hard chromium coatings [...] Read more.
Hard chromium coatings are widely used for their excellent wear and corrosion resistance, but replacing conventional hexavalent chromium with safer trivalent chromium processes remains limited by adhesion-related issues. This study proposes a simple, quantitative method for evaluating the adhesion of hard chromium coatings deposited on ductile steel substrates using an instrumented uniaxial tensile test. Adhesion is defined as the substrate strain at the onset of coating cracking or delamination, while damage evolution is monitored in situ using optical imaging. Trivalent chromium coatings, produced using four different surface preparation routes, were investigated and compared with conventional hexavalent chromium coatings used as references. Fractographic SEM/EDS analyses were performed to identify cohesive and adhesive failure modes. In parallel, the substrate surface energy prior to coating deposition was assessed using atomic force microscopy via pull-off force measurements. The tensile test successfully differentiated the adhesion performance associated with the different surface preparations. A strong correlation was observed between the critical strain measured during tensile testing and the AFM-derived pull-off forces, highlighting the major influence of substrate pretreatment on coating adhesion. The proposed methodology provides a practical tool for the qualification and optimization of hard chromium coating processes. Full article
(This article belongs to the Section Surface Characterization, Deposition and Modification)
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28 pages, 17599 KB  
Article
Damage Evolution Mechanism of Sandstone in the Tarangole Mining Area Under Varying Freeze–Thaw Cycles and Freezing Temperatures
by Jianhua Li, Zhibin Li, Sicheng Wang, Yongjiang Luo and Xujing Tan
Appl. Sci. 2026, 16(12), 6140; https://doi.org/10.3390/app16126140 - 17 Jun 2026
Viewed by 101
Abstract
Freeze–thaw cycles cause mechanical deterioration and instability of slope rock masses in open-pit coal mines located in the cold regions of Northwest China. In this study, the research object is fine-grained sandstone from the Yan’an Formation in the Tarangole mining area of the [...] Read more.
Freeze–thaw cycles cause mechanical deterioration and instability of slope rock masses in open-pit coal mines located in the cold regions of Northwest China. In this study, the research object is fine-grained sandstone from the Yan’an Formation in the Tarangole mining area of the Ordos Basin. Here, indoor freeze–thaw cycling, uniaxial compression, and triaxial compression tests were conducted to systematically analyze the deformation behavior, strength evolution, and failure modes of the sandstone under varying numbers of freeze–thaw cycles, freezing temperatures, and confining pressures, thereby revealing its freeze–thaw damage mechanism. The results show that the number of freeze–thaw cycles is the dominant factor affecting the elastic modulus. Freezing temperatures (especially between −5 °C and −15 °C) and the number of freeze–thaw cycles (particularly the first 10 cycles) significantly reduce peak strength. In addition, confining pressure can significantly enhance the resistance to deformation (under 15 freeze–thaw cycles, the elastic modulus increases by 181.8% as confining pressure rises from 0 to 2 MPa). Within the low confining pressure range (0–1.5 MPa), peak strain decreases monotonically with increasing confining pressure and is independent of the number of freeze–thaw cycles. Finally, the increase in the number of freeze–thaw cycles and the decrease in temperature jointly promote crack development, and the failure mode shifts from pure shear to a shear-tension composite mode. The underlying cause lies in the evolution of interparticle cementation within the soil skeleton and in the associated pore–crack structure. In addition, based on fracture damage mechanics and the modified Weibull distribution, a damage evolution equation and a constitutive model for sandstone considering freeze–thaw cycles and temperature effects were established and validated. Therefore, the research findings can provide a theoretical basis for slope support, freeze–thaw disaster prevention and mitigation, and stability assessment in the Tarangole mining area and other cold regions. Full article
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24 pages, 59249 KB  
Article
Energy Evolution and Deformation Analysis of Overloaded Limestone Under Complex Stress Conditions
by Yong Xia, Dong-Qi Hou, Ding-Ping Xu, Quan Jiang, Yang Yu, Xiao-Xiang Yuan, Qiang Liu, Jian-Jun Zeng and Da-Xin Geng
Appl. Sci. 2026, 16(12), 6129; https://doi.org/10.3390/app16126129 - 17 Jun 2026
Viewed by 96
Abstract
Rock pillars in deep underground mines are subjected to complex stress environments. The combined effects of in situ stress and cyclic disturbances from mining activities lead to a redistribution of the surrounding rock mass stress field, which readily triggers instability and failure, posing [...] Read more.
Rock pillars in deep underground mines are subjected to complex stress environments. The combined effects of in situ stress and cyclic disturbances from mining activities lead to a redistribution of the surrounding rock mass stress field, which readily triggers instability and failure, posing severe threats to mining engineering safety. To investigate the damage mechanism of cyclic loading on rock and its weakening effect on the bearing capacity of mine pillars, this study takes limestone as the research object. A series of uniaxial compression tests were conducted on limestone specimens subjected to triaxial cyclic pre-damage, complemented by numerical simulations to further characterize the energy and deformation evolution of the damaged limestone under cyclic loading conditions. The findings are as follows: (i) Triaxial cyclic tests on limestone show that both the input energy and dissipated energy follow similar trends, decreasing rapidly in the initial stage before stabilizing. The elastic strain energy remains largely constant, with most of the input energy being stored as elastic strain energy. Under constant stress levels and cycle numbers, increases in confining pressure and frequency reduce the rock’s input energy, elastic strain energy, and dissipated energy. (ii) The peak stress of damaged limestone exhibits a positive correlation with the pre-damage confining pressure and cyclic frequency, while it decreases with an increasing number of cycles. Higher confining pressure and frequency raise the input energy, elastic potential energy, and dissipated energy at the peak stress point. (iii) Deformation and failure in damaged limestone originate from the development and propagation of localized deformation zones. Increased lateral displacement within these zones promotes the formation of macroscopic fractures. Due to significant structural heterogeneity inside the localized areas, the evolution of deformation energy is influenced by regional characteristics. (iv) Simulation results indicate that the uniaxial compressive failure of limestone involves the accumulation and propagation of micro-scale tensile cracks, which ultimately coalesce into macro-scale shear fracture surfaces. During uniaxial loading of pre-damaged limestone, newly generated cracks predominantly initiate around pre-existing cracks, with only a limited number distributed randomly. Their peak intensity shows a positive correlation with the pre-damage confining pressure. Full article
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24 pages, 3735 KB  
Article
A Semi-Analytical and Data-Calibrated Hybrid Model for Predicting Residual Deformation of Shape Memory Alloy Honeycombs
by Chengbo Cui, Jin Wang, Meng Li, Haohang Li, Jiayue Zhai, Jianguo Cai and Jian Feng
Buildings 2026, 16(12), 2406; https://doi.org/10.3390/buildings16122406 - 17 Jun 2026
Viewed by 179
Abstract
Future lunar missions, like the International Lunar Research Station (ILRS), demand single-launch multi-point operations, urgently requiring reusable energy-absorbing structures. Integrating shape memory alloy (SMA) into honeycombs offers a promising solution; however, deformation exceeding the SMA’s recoverable limit induces structural residual deformation, altering the [...] Read more.
Future lunar missions, like the International Lunar Research Station (ILRS), demand single-launch multi-point operations, urgently requiring reusable energy-absorbing structures. Integrating shape memory alloy (SMA) into honeycombs offers a promising solution; however, deformation exceeding the SMA’s recoverable limit induces structural residual deformation, altering the configuration and degrading subsequent energy absorption. To address this, we propose a semi-analytical, data-calibrated hybrid model predicting SMA honeycomb residual deformation. A four-stage linear constitutive model is established capturing superelasticity and martensitic yielding. Cell walls are idealized as equivalent beams. Using layered fiber integration and numerical interpolation, a nonlinear moment–curvature relationship is constructed, enabling rapid structural residual deflection evaluation from material residual strains. Finite element results confirm that initial residual deformation stabilizes the honeycomb into a reusable configuration, governing subsequent plateau stresses. Calibrated by uniaxial test data, the proposed model accurately predicts residual deformation ratios and reusable plateau stresses with errors within 8%. By bridging material-level strain with structural-level deformation, this approach circumvents computationally expensive full-scale simulations and costly experimental trials, providing a highly efficient tool for designing reusable SMA absorbers. Full article
(This article belongs to the Section Building Structures)
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23 pages, 12317 KB  
Article
Multiscale Experimental Framework for the Characterization of Unstabilized Rammed Earth
by Fernando Ávila, Mario Fagone, Esther Puertas and Giovanna Ranocchiai
Appl. Sci. 2026, 16(12), 6054; https://doi.org/10.3390/app16126054 - 15 Jun 2026
Viewed by 204
Abstract
The mechanical response of unstabilized rammed earth (URE) depends on a chain of factors spanning from soil composition to compaction conditions and specimen geometry and manufacturing conditions. This paper proposes a multiscale experimental framework for the physical and mechanical characterization of URE, structured [...] Read more.
The mechanical response of unstabilized rammed earth (URE) depends on a chain of factors spanning from soil composition to compaction conditions and specimen geometry and manufacturing conditions. This paper proposes a multiscale experimental framework for the physical and mechanical characterization of URE, structured around three hierarchical scales—soil, fabric and specimen—and demonstrates it on a single soil sample used consistently across more than a decade of experimental campaigns. At the soil scale, mineralogical composition, particle size distribution, Atterberg limits and linear shrinkage are determined. At the fabric scale, Proctor compaction tests establish the optimum moisture content and maximum dry density, and cohesion tests quantify the tensile cohesion of the material. At the specimen scale, monotonic and cyclic uniaxial compression tests reveal that compressive strength is essentially isotropic with respect to loading direction, while stiffness exhibits a pronounced anisotropy, with an anisotropy coefficient of 2.6. A Proctor-based specimen manufacturing procedure is used to reduce the coefficient of variation of compressive strength from 11.8% to 1.8%, demonstrating the critical role of compaction control in result reproducibility. Diagonal compression tests yield a shear strength of approximately 10% of the compressive strength, consistent with the tensile-to-compressive strength ratio commonly reported for URE. The proposed framework highlights the limitations of single-parameter characterization and provides methodological guidance applicable from soil evaluation to full mechanical characterization of URE. Full article
(This article belongs to the Special Issue Recent Advances in Sustainable Construction Materials and Structures)
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22 pages, 9961 KB  
Article
Research on Mechanical Properties and Damage Evolution of Lignite Under Uniaxial Cyclic Loading and Unloading: Insights into Crack Propagation and Energy Dissipation
by Yunhao Wang, Hongfa Ma, Linlin Jin, Jiang Yu, Dawei Yin, Junhao Bai, Kun Cheng and Xiangrui Meng
Processes 2026, 14(12), 1931; https://doi.org/10.3390/pr14121931 - 13 Jun 2026
Viewed by 194
Abstract
In lignite open-pit mines, the blasting mining method and large-scale mechanical shovelling processes induce substantial cyclic disturbances in coal seams at the terminal slope during lignite extraction, significantly increasing the risk of slope destabilisation and damage. Consequently, uniaxial cyclic loading and unloading experiments [...] Read more.
In lignite open-pit mines, the blasting mining method and large-scale mechanical shovelling processes induce substantial cyclic disturbances in coal seams at the terminal slope during lignite extraction, significantly increasing the risk of slope destabilisation and damage. Consequently, uniaxial cyclic loading and unloading experiments were conducted to evaluate the mechanical properties and energy evolution of lignite. Acoustic emission (AE) characteristics and macroscopic crack evolution of lignite under cyclic loading and unloading conditions were analysed using AE counts and b-values. The energy evolution of lignite was further examined to elucidate the mechanisms of crack propagation and instability failure. The results indicate that initial damage exists within the lignite, and cyclic loading weakens its mechanical properties. Specifically, the irrecoverable damage resulting from the continuous development of internal cracks leads to the continuous deterioration of the mechanical properties of lignite. During the process of damage accumulation, the energy evolution characteristics of the lignite shift from being dominated by plastic energy dissipation to being dominated by elastic energy storage, which triggers higher energy dissipation and release at the cumulative damage stage. Furthermore, as the stress level increases, the cracks in the lignite transition from tensile–shear composite cracks to predominantly tensile cracks. These findings provide critical insights into the mechanisms of instability and failure in open-pit slopes subjected to cyclic loading and unloading, contributing to the advancement of slope stability management in lignite mining operations. Full article
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32 pages, 10636 KB  
Article
Numerical Simulation Study on Rock-Breaking and Temperature Characteristics of Chisel PDC Cutter and Full-Bit Drilling
by Zebing Wu, Tianci Wang, Lianghui Song, Yizhou Yang and Hao Wang
Processes 2026, 14(12), 1926; https://doi.org/10.3390/pr14121926 - 12 Jun 2026
Viewed by 228
Abstract
Drilling in deep hard formations poses significant challenges for conventional polycrystalline diamond compact (PDC) cutters, which often suffer from low rock-breaking efficiency and premature failure due to severe cutter-face wear, high thermal loads, and stick-slip vibrations. To overcome these limitations, this study proposes [...] Read more.
Drilling in deep hard formations poses significant challenges for conventional polycrystalline diamond compact (PDC) cutters, which often suffer from low rock-breaking efficiency and premature failure due to severe cutter-face wear, high thermal loads, and stick-slip vibrations. To overcome these limitations, this study proposes a chisel-shaped PDC cutter and systematically investigates its rock-breaking and thermal characteristics. A coupled temperature–displacement finite element model (FEM) of cutter–granite interaction and a single-cutter indentation model were developed based on elastoplastic mechanics and the Drucker–Prager failure criterion. The rock constitutive parameters used in both models were validated through uniaxial compression tests. Using these models, the influences of cutter shape, back rake angle, and depth of cut (DOC) were analyzed. Compared with a conventional cylindrical cutter, the chisel cutter reduces the cutting force by 13.4% and the axial penetration reaction force by 22%. The cutting force of the chisel cutter remains consistently lower across all tested depths. The optimal back rake angle is 20–25°, and the optimal DOC is 1.5 mm. Full-bit simulations further demonstrate that the chisel-cutter bit creates a more concentrated bottomhole stress field, increases the rate of penetration (ROP) by 19.7%, reduces average torque by 11.34%, and produces smoother torque fluctuations, indicating higher drilling stability. Thermal analysis reveals that the chisel cutter exhibits lower and more stable cutter-face temperatures. Both simulation and experimental results confirm that the chisel design reduces the friction contact area between cuttings and the cutter face, thereby lowering temperature accumulation. Field drilling data corroborate the reliability of the conclusions. These findings provide guidance for the design of PDC bits intended for deep hard formations. Full article
(This article belongs to the Section Materials Processes)
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22 pages, 5125 KB  
Article
Mixed-Mode Dynamic Stress Intensity Factors and Fracture Analysis Using Ordinary State-Based Peridynamics
by Yanyun Ru, Fei Li, Xingyu Li, Caidan Wang, Qianlong Yang, Shuqin Zheng, Lei Zhou and Xu Wang
Materials 2026, 19(12), 2560; https://doi.org/10.3390/ma19122560 - 12 Jun 2026
Viewed by 153
Abstract
An ordinary state-based peridynamic (OSPD) approach combined with an interaction integral method is proposed to calculate dynamic stress intensity factors (DSIFs) and simulate crack propagation in two-dimensional cracked brittle solids. Numerical investigations are carried out for mode I and mixed-mode cracked plates under [...] Read more.
An ordinary state-based peridynamic (OSPD) approach combined with an interaction integral method is proposed to calculate dynamic stress intensity factors (DSIFs) and simulate crack propagation in two-dimensional cracked brittle solids. Numerical investigations are carried out for mode I and mixed-mode cracked plates under static, quasi-static, and dynamic loading conditions. A local damping scheme is incorporated into the peridynamic equations of motion to achieve convergence in static and quasi-static analyses. The influence of circular holes on DSIFs and crack propagation paths is systematically examined. Quantitative analyses of elastic deformation and quasi-static fracture behavior for mode I and mixed-mode cracks are verified through the uniaxial tension of a slab. The peak values of DSIFs exceed their static counterparts under dynamic loading. Complex dynamic fracture phenomena, including crack branching in both straight and inclined edge cracks, are successfully captured. The results obtained by the OSPD approach are validated through comparisons with theoretical benchmarks and finite element results, demonstrating high accuracy and effectiveness in calculating elastic deformation and stress intensity factors (SIFs), as well as accurately predicting crack propagation paths in quasi-static and dynamic fracture problems in brittle solids. Beyond the benchmark problems, the proposed OSPD approach is particularly well-suited for investigating more complex fracture systems. Full article
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