Engineering Fracture Mechanics最新文献

{"title":"Study on the guiding mechanism of controlling pore water pressure on the propagation path of hydraulic fractures","authors":"Yaping Hou ,&nbsp;Yanwei Liu ,&nbsp;Gang Xu ,&nbsp;Hongkai Han ,&nbsp;Weiqin Zuo","doi":"10.1016/j.engfracmech.2026.111948","DOIUrl":"10.1016/j.engfracmech.2026.111948","url":null,"abstract":"<div><div>Aiming at the difficulty in controlling fracture propagation direction during coal seam hydraulic fracturing, this study establishes a pore water pressure-regulated fracture propagation control model via theoretical analysis, numerical simulation, and experimental verification, revealing regulatory laws of lateral stress coefficient, control hole position, water injection pressure, and spacing on fracture deflection. Results show fracture propagation features ’ initial directional initiation followed by gradual deflection ’, with propagation-required water pressure decreasing as fracture length increases. For lateral stress coefficient <em>λ</em> &gt; 1, fracture deflection angle decreases from 45° to 11.25° with increasing <em>λ</em>; for <em>λ</em> &lt; 1, it drops from 45° to 7.5° as <em>λ</em> decreases. At <em>λ</em> = 1, fractures propagate linearly along the inter-hole line. The oblique hole is the optimal turning point: in <em>λ</em> &gt; 1 formations, deflection angle ’ first increases then decreases ’ with β increasing; in <em>λ</em> &lt; 1 formations, it shows the same trend as <em>β</em> decreases. A smaller hole spacing leads to significant early deflection of fractures. A higher pore pressure in the control hole results in an increased fracture deflection angle, along with enhanced pore water pressure at the midline connecting the two holes and a greater amplitude of fracture deflection. The fracture path is synergistically controlled by the pore water pressure gradient and the in-situ stress field. Simulations align with relevant physical experiments, validating the theoretical model. The findings provide a theoretical basis for directional fracture propagation via optimized control hole parameters in coal seam hydraulic fracturing.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"336 ","pages":"Article 111948"},"PeriodicalIF":5.3,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146196863","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":"Experimental study on the fragmentation properties and energy dissipation of coal-rock composite under impact loading","authors":"Chen Chen ,&nbsp;Yi-Jie Liao ,&nbsp;He-Lin Fu ,&nbsp;Hui Dong ,&nbsp;Zhuo Chen ,&nbsp;Xin-Jie Zhang ,&nbsp;Reng-Bing Liu","doi":"10.1016/j.engfracmech.2026.111939","DOIUrl":"10.1016/j.engfracmech.2026.111939","url":null,"abstract":"<div><div>Tunnel construction frequently traverses coal-rock composite strata, whose mechanical heterogeneity and complex energy evolution complicate ground control and elevate the risk of dynamic disasters. This study investigates the fragmentation characteristics and energy dissipation mechanisms of coal-rock composites through dynamic impact tests using a Split-Hopkinson Pressure Bar system. Specimens with varying coal height ratios, structural configurations, and impact loadings were systematically analyzed. Results demonstrate that energy dissipation and fragmentation behavior are highly sensitive to both coal height ratio and composite structure. A quadratic polynomial effectively describes the coupling relationship among dissipated energy density, average particle size, and incident energy. The particle size distribution is bounded by a pure coal specimen (upper limit) and an R-C-20% composite (lower limit). While C-R and R-C structures exhibit an “arch-bridge” trend in average particle size with increasing coal height ratio, R-C-R structures show a gradual decrease. Fractal dimensions follow an initial increase, then decrease or N-shaped trends under low loading, becoming strongly influenced by interface effects at higher loads. Coal components exhibit dissipated energy density that increases with loading but decreases linearly with coal height ratio, approaching the values of a pure coal specimen. Rock components maintain a lower dissipated energy density than pure rock specimens, remaining largely insensitive to coal height ratio, consistent with their primary role as energy transfer media. These findings clarify the scale and structural dependencies of fragmentation and energy dissipation mechanisms in coal-rock composites, providing theoretical and experimental support for dynamic disaster prevention in deep engineering projects.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"336 ","pages":"Article 111939"},"PeriodicalIF":5.3,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146196857","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":"Failure mechanism of unsaturated sandstone under freeze-thaw cycles: Critical saturation effect and segmented damage modeling","authors":"Ziyi Yang ,&nbsp;Ying Xu ,&nbsp;Meilu Yu ,&nbsp;Chengjie Li ,&nbsp;Yingfu Li ,&nbsp;Rongzhou Yang ,&nbsp;Qiangqiang Zheng","doi":"10.1016/j.engfracmech.2026.111902","DOIUrl":"10.1016/j.engfracmech.2026.111902","url":null,"abstract":"<div><div>The saturation state of rock, significantly influenced by its in-situ environment and precipitation, exhibits considerable variation at different depths or locations. This variation leads to distinct failure characteristics when the rock is subjected to loading, posing threats to engineering safety and economic development in cold regions. This study investigates the Yulong copper mine slope sandstone in Tibet, analyzing the failure behavior, micro-damage characteristics, and energy evolution patterns of rock under varying saturation states. A piecewise damage constitutive model is developed for freeze–thaw cycled rock at different saturation levels. The results demonstrate that increasing saturation leads to higher porosity, reduced cementing minerals, diminished mechanical properties, and a transition in failure mode towards complex shear failure. Based on energy analysis, the concept of a critical saturation degree for freeze–thaw rock is proposed. Within this range, the rock efficiently absorbs elastic energy without inducing excessive plastic deformation or crack propagation; exceeding this threshold results in rapid deterioration of mechanical properties. The differences in damage mechanisms for freeze–thaw rock at varying saturation levels are manifested in the <em>meso</em>-morphology and the compaction stage of the stress–strain curve. By analyzing the characteristics of dissipated energy, the compaction point and yield point are quantitatively characterized through the calculation of strain difference and its fluctuation characteristics, overcoming the limitations of subjective judgment. A piecewise constitutive model, established based on the Hoek-Brown criterion, accurately reflects the stage-dependent characteristics of freeze–thaw sandstone at different saturation levels and effectively characterizes the damage mechanism of unsaturated freeze–thaw sandstone.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"335 ","pages":"Article 111902"},"PeriodicalIF":5.3,"publicationDate":"2026-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146102397","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":"Plastic zone size and crack tip opening displacement of doubly periodic Dugdale cracks with diamond-shaped-interleaving arrays under longitudinal shear","authors":"Yan Li ,&nbsp;Pengpeng Shi ,&nbsp;Xiaofan Gou ,&nbsp;Wenshuai Wang ,&nbsp;Xing Li","doi":"10.1016/j.engfracmech.2026.111845","DOIUrl":"10.1016/j.engfracmech.2026.111845","url":null,"abstract":"<div><div>The interaction among multiple cracks plays a crucial role in the elastoplastic fracture behavior of materials. Although numerous studies have been devoted to elastic analyses of doubly periodic crack problems, the elastoplastic response of complex configurations such as doubly periodic cracks with diamond-shaped-interleaving arrays remains insufficiently explored. This paper investigates the plastic zone size (PZS) and crack tip opening displacement (CTOD) of doubly periodic cracks with diamond-shaped-interleaving arrays (DPC-DSIA) under longitudinal shear. Based on the Dugdale plastic zone model and the continuously distributed dislocation model, the mixed-boundary-value problem of elastoplastic behavior for DPC-DSIA configurations is transformed into a system of singular integral equations, where the semi-analytical solution is achieved using the Lobatto-Chebyshev numerical quadrature method. The accuracy of the proposed solution is verified against existing results for two typical periodic cracks with rectangular arrays and diamond-shaped arrays and the complex periodic cracks with diamond-shaped-interleaving small arrays. Furthermore, the influence of periodic parameters on key fracture quantities, including the PZS, CTOD, and stress intensity factor (SIF), are systematically examined. The results reveal the interaction mechanism between vertically and horizontally oriented cracks and highlight the complex effects of doubly periodic crack arrangements on the system’s elastoplastic behavior.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"335 ","pages":"Article 111845"},"PeriodicalIF":5.3,"publicationDate":"2026-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146102466","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":"Numerical investigation on dynamic mechanical response of rock–backfill composites: Effect of interface angle and loading condition","authors":"Zefeng Li ,&nbsp;Aixiang Wu ,&nbsp;Shaoyong Wang ,&nbsp;Jiandong Wang","doi":"10.1016/j.engfracmech.2026.111901","DOIUrl":"10.1016/j.engfracmech.2026.111901","url":null,"abstract":"<div><div>The dynamic mechanical behavior of rock–backfill coupling systems significantly impacts the stability of underground engineering structures. However, studies examining the dynamic mechanical response of rock–backfill composites under various interface angles and loading conditions are scarce. A coupled finite difference method (FDM)–discrete element method (DEM) numerical simulation approach was used to construct split Hopkinson pressure bar (SHPB) test systems and rock–backfill composite (RB) models. This study systematically investigated the effects of varying interface angles (0°, 30°, 45°, 60°, and 90°), impact velocities (4.0–8.5 m/s), and stress wave propagation directions (rock–to–backfill and backfill–to–rock) on the dynamic mechanical properties and damage evolution characteristics of the composites. The results show that peak stress first decreases, then increases with increasing interface angle. Peak stress reaches its maximum at 0° and its minimum at 45° or 60°. The peak strength of rock–to–backfill is significantly lower than that of backfill–to–rock, and the former is more sensitive to the strength–enhancing effect of increased impact velocity than the latter. At <em>θ</em> = 0° and 30°, both the backfill and rock exhibit significant damage. At <em>θ</em> = 45°, 60°, and 90°, crack initiation and propagation are primarily concentrated near the backfill or contact interface, with relatively low levels of rock damage. As the interface angle increases, the total number of cracks first decreases and then increases, with the dominant failure mode shifting from tensile cracks to shear cracks. Meanwhile, the displacement field shows that the damage at the interface changes from being mostly tensile to mostly shear. A displacement field partitioned by the contact interface develops within the RB. The impact velocity does not change the fundamental failure mode of the RB. Under high impact velocities, the crack behavior is characterized by “earlier initiation and stronger energy release”, with acoustic emission (AE) counts and discrete fragmentation increasing significantly. The research findings provide a theoretical foundation for the stability of underground rock engineering and disaster prevention.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"335 ","pages":"Article 111901"},"PeriodicalIF":5.3,"publicationDate":"2026-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146102398","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":"Enhancing fracture resistance of concrete with hybrid micro–macro steel and polypropylene fibers under multiple failure modes: Experimental and reliability assessment","authors":"Hamid Gorji ,&nbsp;Behrooz Shirgir ,&nbsp;Hamed Rooholamini ,&nbsp;Mohammad Shamsi","doi":"10.1016/j.engfracmech.2026.111882","DOIUrl":"10.1016/j.engfracmech.2026.111882","url":null,"abstract":"<div><div>This study presents a comprehensive experimental and statistical investigation into the fracture resistance of concrete reinforced with hybrid micro- and macro-scale steel and polypropylene fibers. Nine different fiber com inbinations were evaluated using Single-Edge Notched Beam (SENB) and Edge Notched Disc Bend (ENDB) specimens to measure fracture toughness under pure Mode I (tensile), Mode II (sliding), Mode III (tearing), and mixed-mode I/II loading. A two-parameter Weibull distribution was employed to assess the reliability and variability of the results. The findings demonstrate that hybrid fiber systems, particularly the combination of polypropylene micro-fibers and steel macro-fibers (PSSL), induce a significant synergistic effect, enhancing fracture toughness across all failure modes. The PSSL hybrid configuration increased the effective fracture toughness (K_eff) by up to 28.44% under mixed-mode I/II loading in SENB tests. Furthermore, the Weibull analysis revealed that hybrid fiber composites exhibit higher shape parameters, indicating more consistent and reliable fracture performance compared to plain and mono-fiber concrete. This study confirms that a multi-scale hybrid fiber reinforcement strategy is highly effective in improving the fracture resistance and structural reliability of concrete under complex stress states. Finally, Weibull analysis indicated that hybrid fiber systems exhibited higher shape parameters, reflecting more consistent and reliable fracture behavior than mono-fiber systems, which is critical for practical applications emphasizing mechanical performance consistency.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"335 ","pages":"Article 111882"},"PeriodicalIF":5.3,"publicationDate":"2026-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146102399","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":"Fatigue crack growth in cement mantle of taper-slip total hip arthroplasty systems: numerical simulation and mechanical testing","authors":"Mahsa Alimohammadi ,&nbsp;Farzam Farahmand ,&nbsp;Hassan Mirzabozorg ,&nbsp;Heidi-Lynn Ploeg","doi":"10.1016/j.engfracmech.2026.112099","DOIUrl":"10.1016/j.engfracmech.2026.112099","url":null,"abstract":"<div><div>This study investigated the fatigue crack-propagation behavior of the cement mantle in a taper-slip total hip stem using a combination of extended finite element modeling (XFEM) and experimental fatigue testing. A two-dimensional plane-strain model of a polished, tapered stem cemented within a cortical shell was developed in Abaqus to simulate cyclic loading representative of hip joint mechanics during walking. Crack growth was governed by the energy-based Paris’ law within the XFEM framework, and direct cyclic analysis was used to obtain stabilized cyclic solutions. Parametric studies were conducted to examine the influence of cortical-shell stiffness (2.5–8 GPa) and initial crack length (0.5–2  mm) on the crack-propagation rate and fatigue life of the cement mantle. Complementary fatigue tests on bone-cement-implant constructs with aluminum and polymeric cortical-shell surrogates validated the numerical predictions. Results demonstrated that hoop stress induced by axial compressive loading, rather than torsional stress, was the dominant driver of crack propagation. Reduced cortical-shell stiffness and larger pre-existing defects led to greater tensile stress concentrations in the vicinity of the crack zone, resulting in accelerated crack growth and shorter fatigue life. The predicted trends were consistent with experimental observations, confirming the influence of axial load-induced hoop stress on the fatigue behavior of the cement mantle. The combined computational-experimental approach provides new insight into the mechanisms governing fatigue-driven cracking in cemented stems under multiaxial cyclic loading, and offers guidance for patient selection, surgical technique, and stem design to improve long-term clinical outcomes.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"339 ","pages":"Article 112099"},"PeriodicalIF":5.3,"publicationDate":"2026-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147554325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Coupled infrared–mechanical signatures of crack evolution in anisotropic limestone with a hole","authors":"Dianen Wei ,&nbsp;Guansuo Dui ,&nbsp;Zhenyu Sun ,&nbsp;Yanhui Xi ,&nbsp;Zibing Zheng","doi":"10.1016/j.engfracmech.2026.111886","DOIUrl":"10.1016/j.engfracmech.2026.111886","url":null,"abstract":"<div><div>Void defects and bedding-related anisotropy govern the stability of limestone rock masses under blasting, tunneling, and mining disturbances. To elucidate the instability mechanism and thermo‑mechanical coupling of bedded limestone containing a central circular hole, we performed instrumented drop‑hammer tests while systematically varying impact velocity and bedding angle. High‑speed imaging and infrared thermography were used to quantify infrared radiation temperature (IRT), energy partitioning, and their spatiotemporal coupling with fracture evolution. Damage evolved nonlinearly through five stages—initial loading, loading plateau, main failure, secondary response, and residual vibration. With increasing impact velocity, the plastic zone expanded and limited further force growth; elastic strain‑energy storage was constrained, the hardening–softening process accelerated, and the characteristic double peak in the mechanical response collapsed toward the first peak. Crack nucleation and rapid growth occurred within a very short window early in loading: while overall displacement was still rising, local stresses reached critical levels and triggered rupture. Impact velocity and bedding angle acted jointly on the IRT response; at a bedding angle near 60°, both the temperature peak and the thermal response were greatest, indicating a critical orientation prone to heat localization and structural damage. The stress time history was tightly coupled with temperature rise: during stress accumulation, the temperature‑rise rate reflected crack initiation and frictional heating. Infrared hotspots were spatially congruent with crack trajectories but lagged in time, consistent with a “path → thermal band” evolution; stress redistribution and cooperative branching rendered the local temperature field multi‑lobed with a pronounced bedding‑parallel bias. These results provide a geology‑informed thermographic diagnostic for hole‑affected, bedded limestones and support early‑warning and design decisions in blasting, excavation, and tunneling.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"334 ","pages":"Article 111886"},"PeriodicalIF":5.3,"publicationDate":"2026-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146075926","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":"Experiment and analysis on cumulative damage and fragmentation of granite under cyclic impact","authors":"Jianxiu Wang ,&nbsp;Ansheng Cao ,&nbsp;Yuanbo Gao ,&nbsp;Luyu Lin ,&nbsp;Hua Zhang ,&nbsp;Pengfei Liu","doi":"10.1016/j.engfracmech.2026.111878","DOIUrl":"10.1016/j.engfracmech.2026.111878","url":null,"abstract":"<div><div>The dynamic characteristics of rock under cyclic impact loading exhibited nonlinear behavior and high strain rate effects. To investigate the response of granite under medium strain rate impact, cyclic impact tests were conducted for 100 × 100 × 100 mm cubic specimens using a drop hammer impact machine at varying heights. The stress–strain, macroscopic fragmentation, and energy dissipation characteristics were analyzed under cyclic impact. High-speed cameras and Digital Image Correlation (DIC) technology were employed to record and analyze the strain evolution and crack propagation on the specimen surfaces. Ultrasonic testing was used to measure the wave velocity of the specimens. The cumulative damage characteristics of the granite under cyclic impact were assessed. The fragmented rock pieces were sieved, and the fractal dimensions of the fragmentation were analyzed to characterize the failure patterns. The mesoscopic cracks of the fragments after impact were analyzed by SEM. The stress-time curve of the specimen comprised four stages: rising stage, plateau stage, secondary rising stage, and unloading stage. The stress–strain curve was divided into compaction stage, linear elastic stage, elastoplastic stage and failure stage. With the increasing cyclic impact number, the peak stress decreased, energy efficiency increased, and damage accumulated. Concurrently, the strain concentration area gradually increased and showed an obvious localization phenomenon. As the impact height increased, the crack propagation rate accelerated, its resistance to deformation diminished, and the number of internal fracture planes increased, leading to a high fractal dimension of the rock fragmentation. With the increase of impact height, the specimens sequentially exhibited splitting failure, block failure, and pulverization. Meanwhile, the mesoscopic fracture of granite changed from being dominated by intergranular fracture to being dominated by transgranular fracture. The research results provide theoretical support and reference for stability assessments of rock engineering under impact loading.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"334 ","pages":"Article 111878"},"PeriodicalIF":5.3,"publicationDate":"2026-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146076005","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":"Crack closure effect for biaxial low-cycle fatigue analysis of hull stiffened plates with central-through crack considering accumulative plasticity","authors":"Junlin Deng ,&nbsp;Wenlong Rong ,&nbsp;Xueqing Chen ,&nbsp;Xiaolin Yu ,&nbsp;Yi Liu","doi":"10.1016/j.engfracmech.2026.111905","DOIUrl":"10.1016/j.engfracmech.2026.111905","url":null,"abstract":"<div><div>The crack closure effect of materials significantly influences the biaxial low-cycle fatigue crack propagation behavior in shipbuilding structural materials. In this study, the phase difference correction term <em>α</em> and the biaxial stress ratio correction term <em>β</em> are introduced to optimize the crack closure parameter <em>U</em> through nonlinear coupling. The biaxial low-cycle fatigue crack growth rate of hull stiffened plates with a central through-crack is characterized by using the effective stress intensity factor <em>ΔK_eff,</em> considering the optimized crack closure parameter <em>U</em>. An experiment was conducted to obtain the relevant parameters. The effects of the biaxial stress ratio, stress ratio, and phase difference on the crack closure effect for hull stiffened plates with a central-through crack were discussed through finite element numerical simulations. The results indicate that under the biaxial low-cycle fatigue loading with a high stress ratio, large phase difference, and low biaxial stress ratio, the crack closure behavior is significantly influenced by the accumulated plastic deformation. The crack closure effect is significantly weakened, which leads to faster biaxial low-cycle fatigue crack growth.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"334 ","pages":"Article 111905"},"PeriodicalIF":5.3,"publicationDate":"2026-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146185543","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}