Jianping Xu , Juntai Hu , Jie Yang , Jianhui Liu , Wenjun Kou , Yangyang Zhao , Fawang Lian
{"title":"A new prediction model of fatigue crack expansion rate based on HRR stress–strain field","authors":"Jianping Xu , Juntai Hu , Jie Yang , Jianhui Liu , Wenjun Kou , Yangyang Zhao , Fawang Lian","doi":"10.1016/j.tafmec.2025.104973","DOIUrl":"10.1016/j.tafmec.2025.104973","url":null,"abstract":"<div><div>In this paper, a new model (Cumulative Fatigue Damage-CFD) is constructed to accurately predict the expansion rate of type I fatigue cracks based on the damage accumulation theory. Utilizing the HRR (Hutchinson-Rice-Rosengren) stress–strain field at the crack tip, the model adopts a new size parameter <em>r</em><sub>c</sub> to characterize the size of the cyclic plastic zone at the crack tip, defines a new damage variable <em>D</em>, and derives the theoretical formula of the fatigue crack extension rate model by combining with Miner’s linear cumulative damage theory. The prediction effect of the model was verified using 14 metallic materials and compared with the Pandey (Strain Energy Theory-SET), Chen-Cai (CFD) and LiuX (SET) models. To quantitatively and accurately evaluate the predictive efficacy of the model, a quantitative evaluation method called “point-line distance” is proposed, and a comprehensive comparison is made in terms of three key dimensions: safety, accuracy and economy. The results show that the new model (CFD) can accurately predict the expansion rate of type I fatigue cracks, and the model applies to a wide range of metallic materials and has excellent prediction results, which can better meet the engineering needs for safety and economy.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"138 ","pages":"Article 104973"},"PeriodicalIF":5.0,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848495","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 in presence of holes: Experimental measurements and configurational force analysis","authors":"Rohit Upadhyaya , Saurav Sunil , R.N. Singh , Abhishek Tiwari","doi":"10.1016/j.tafmec.2025.104951","DOIUrl":"10.1016/j.tafmec.2025.104951","url":null,"abstract":"<div><div>The presence of holes significantly influences crack growth in elastic–plastic materials under monotonic loading. This study investigates the effect of holes on crack propagation in SS304 by evaluating the <span><math><mi>J</mi></math></span>-integral. A modified approach is developed to derive a geometry-dependent <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>a</mi><mo>/</mo><mi>W</mi><mo>)</mo></mrow></mrow></math></span> function for <span><math><msub><mrow><mi>J</mi></mrow><mrow><mtext>elastic</mtext></mrow></msub></math></span>, while revised factors <span><math><mi>η</mi></math></span> and <span><math><mi>γ</mi></math></span> improve the accuracy of <span><math><msub><mrow><mi>J</mi></mrow><mrow><mtext>plastic</mtext></mrow></msub></math></span> for nonstandard geometries. Finite element simulations using configurational forces provide additional insights into the crack driving force. This study enhances predictive capabilities for crack growth behavior in engineering applications.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"138 ","pages":"Article 104951"},"PeriodicalIF":5.0,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848377","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 propagation and strength characteristic of sandstone with structural defects under extensive true triaxial tests by using DEM simulation","authors":"Fan Feng , Tong Zhang , Jamal Rostami , Shaojie Chen , Xingdong Zhao , Jiadong Qiu","doi":"10.1016/j.tafmec.2025.104971","DOIUrl":"10.1016/j.tafmec.2025.104971","url":null,"abstract":"<div><div>The stability of rock masses is significantly affected by the existence, frequency, and condition of the structural features such as planes and joints. The failure characteristics and strength of such features, their conditions and stability should be studied to understand the behavior of rock mass. In the present study, Particle flow code in three dimensions (PFC3D), which is a discrete element program, was used to conduct extensive simulation of true triaxial compressive tests on sandstone with structural defects. The results of the simulation were validated by comparing the crack growth pattern with those of laboratory testing. The main focus of this study was on the effects of structural plane dip angles (α) and polyaxial stress states on the crack propagation, failure mode and peak strength of sandstone. The results indicate that the minimum principal stress (σ<sub>3</sub>) has a predominant influence on the generation of anti-wing cracks. Increase in σ<sub>3</sub> can promote the propagation range of the anti-wing crack under the same intermediate principal stress (σ<sub>2</sub>). The increase in σ<sub>2</sub> lowers the non-uniform deformation of specimen which was affected by the structural plane. The increasing rate of peak strength with equal σ<sub>3</sub> gradient of specimens exhibits a linear relationship with σ<sub>2</sub> under true triaxial compression. However, the resulting strength is different under various α. σ<sub>3</sub> has a more pronounced influence on the peak strength of specimens with structural plane than σ<sub>2</sub>. σ<sub>3</sub> determines the influence of σ<sub>2</sub> on the peak strength of the specimens. It is also found that the higher σ<sub>3</sub> leads to reduced influence of α on the strength.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"138 ","pages":"Article 104971"},"PeriodicalIF":5.0,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143844897","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}
Hesi Xu , Jun Yu , Shuyang Yu , Runyu Liu , Yifei Li
{"title":"Effects of cavity locations and numbers on the failure mechanisms of 3D printing horseshoe-shaped tunnel specimens: Experiments and numerical simulations","authors":"Hesi Xu , Jun Yu , Shuyang Yu , Runyu Liu , Yifei Li","doi":"10.1016/j.tafmec.2025.104970","DOIUrl":"10.1016/j.tafmec.2025.104970","url":null,"abstract":"<div><div>The presence of voids behind the tunnel lining holds crucial significance for the long-term safe and steady operation of tunnels. To explore this impact comprehensively, the present research utilizes sand 3D printing technology to fabricate horseshoe-shaped tunnel specimens featuring diverse void configurations (namely, single void, double voids, and no voids). Subsequently, uniaxial compression tests are carried out to examine how these voids influence the mechanical characteristics and failure modes of the tunnels. Surface strain distribution is meticulously recorded through Digital Image Correlation (DIC). The Discrete Element Method (PFC2D) was employed to simulate specimen failure processes and analyze damage mechanisms. The stress–strain curves of rock specimens exhibit four distinct phases: the compaction stage, the elastic deformation stage, the plastic deformation stage, and the specimen’s terminal failure stage. It is substantiated that the position of voids exerts a substantial impact on the peak strength of the tunnel models. With regard to the single void specimen, when the angle <em>α</em> ranges from 0° to 180°, the peak strength displays a tendency of increasing initially, then declining, and finally increasing. An analogous pattern is noticed in the double voids specimen when the angle <em>β</em> varies from 45° to 180°. Herein, the peak strength displays a consecutive pattern of first rising, then decreasing, and ultimately rising. Cracks were observed to emerge at the crown of the arch as well as along the perimeter of the tunnel’s base in the specimen without voids. Moreover, it was discovered that the paths along which cracks extended of both single-void and double-void specimens were restricted by the alignment of the voids. This led to the emergence of diverse crack configurations, namely: the Top main crack, the Underside main crack, the Side crack, and the Corner crack. It has been demonstrated that the numerical simulation of the specimen cracking process is highly consistent with the experimental findings. Ultimately, the crack initiation mechanisms are detailly discussed. This research offers a valuable benchmark for grasping the influence exerted by voids behind tunnel linings on the operational safety of tunnels. Moreover, it serves as a directional compass for damage anticipation and disaster prevention as well as mitigation within the realm of underground engineering.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"138 ","pages":"Article 104970"},"PeriodicalIF":5.0,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143835026","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}
Qiang Zhang , Shuyang Yu , Jun Yu , Yifei Li , Zhenyu Zhu , Hesi Xu
{"title":"Investigations on the failure processes of tunnel models containing weak layers based on A novel tunnel-layer 3D printing technology and DEM","authors":"Qiang Zhang , Shuyang Yu , Jun Yu , Yifei Li , Zhenyu Zhu , Hesi Xu","doi":"10.1016/j.tafmec.2025.104968","DOIUrl":"10.1016/j.tafmec.2025.104968","url":null,"abstract":"<div><div>The long-term geological evolution results in the formation of weak layers in rock, and the weak layers of rock mass affect its engineering stability. The traditional sand 3D printing method is improved and the weak layer structures are printed and formed by the layered injection method. Weakly cemented furan resin-based fine sand is used as the material to simulate the bedding characteristics, and tunnel models containing weak layers and pre-fabricated fissures are prepared. Uniaxial compression crack propagation tests are carried out in combination with the DIC technology to obtain the strain distributions, and the influences of weak layers and pre-fabricated fissures on tunnel models are analyzed. The PB (Parallel-Bond) model and SJ (Smooth-Joint) model in PFC2D are used to reproduce the cracking processes of the tunnel model, and the influencing mechanisms are explored. The results show that the crack propagation processes and failure modes are different under different weak layer angles. The maximum strength initially declines before subsequently rising. Four types of cracks, namely Hole Side Crack (HSC), Hole Main Crack (HMC), Along Layer Crack (ALC), and Through Layer Crack (TLC), are mainly generated. When the pre-fabricated fissure angles are different, ALC (Along layer crack) along the bedding is mainly generated when <em>β</em> = 0° − 60°, and in addition to ALC, FMC (Fissure main crack) is also generated when <em>β</em> = 90°. The failure modes and peak strength laws obtained from the numerical simulation are consistent with the experimental results. From the perspective of stress distribution, when the bedding angle <em>α</em> = 0°, tensile stress is concentrated on both sides of the circular hole. As <em>α</em> increases, obvious stress concentration occurs at the weak layers, and cracks are mainly generated along the weak layers. The pre-fabricated fissure angle only changes the stress concentration degree at the tip of the pre-fabricated fissure but does not change the overall stress distributions of the tunnel model.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"138 ","pages":"Article 104968"},"PeriodicalIF":5.0,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143823327","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":"Comparison of Q parameter in stationary and growing creep cracks in SS316LN with 0.07% nitrogen at 650 oC","authors":"Awanish Kumar Mishra , Rohit Upadhyaya , Avinash Gopalan , V. Karthik , Abhishek Tiwari","doi":"10.1016/j.tafmec.2025.104945","DOIUrl":"10.1016/j.tafmec.2025.104945","url":null,"abstract":"<div><div>This study explores the influence of in-plane constraint on the creep crack behavior of a new variant of SS316LN with 0.07% nitrogen under stationary and growing cracks through experimental and numerical approaches. The <span><math><mi>Q</mi></math></span> parameter is calculated to characterize the in-plane constraint, while the <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> parameter is used to analyze creep deformation and fracture behavior. Comprehensive experimental tests and finite element simulations provide insights into the interaction between in-plane constraints and crack-tip stress fields. The results enhance the understanding of constraint effects in stationary crack scenarios, contributing to the development of improved methodologies for high-temperature failure assessments and life prediction of structural components made of SS316LN.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"138 ","pages":"Article 104945"},"PeriodicalIF":5.0,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143839333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A new mechanism of fracture and crack deflection around circular holes: Insights from true triaxial testing and numerical simulation","authors":"Jianping Zuo, Yiming Jiang, Zongyu Ma, Shuaifei Zhan","doi":"10.1016/j.tafmec.2025.104967","DOIUrl":"10.1016/j.tafmec.2025.104967","url":null,"abstract":"<div><div>The mechanical properties and failure characteristics of surrounding rock in deep underground roadways differ significantly from those in shallow roadways. To investigate the fracture and crack propagation mechanisms around circular roadways, this study examines the damage characteristics and crack propagation mechanisms of rock containing circular holes under different burial depths and true triaxial stress conditions using a true triaxial testing system. The results show that circular holes exhibit a V-shaped damage pattern under different burial depths. There are three failure modes of circular holes at different burial depths: stress − dominated, hole − stress mixed, and hole − dominated. And burial depth reconfigures the damage path by regulating the hole-stress competition mechanism (burial depth coefficient <em>K</em><sub>p</sub>). Numerical simulation analysis reveals that the influence of burial depth on the damage zone follows a “promotion-inhibition-re-promotion” trend, with the turning point near the critical burial depth. For the first time, this study proposes a new mechanism of the “stress shielding effect around holes” and discovers that crack deflection around holes results from the dynamic interaction between stress redistribution and hole geometry. The proposed mechanism represents a significant breakthrough in deep rock mechanics theory and engineering practice.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"138 ","pages":"Article 104967"},"PeriodicalIF":5.0,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143821144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A finite similitude approach to fatigue crack growth across the scales","authors":"Wenyue Gai, Keith Davey","doi":"10.1016/j.tafmec.2025.104956","DOIUrl":"10.1016/j.tafmec.2025.104956","url":null,"abstract":"<div><div>Testing materials housing defects such as cracks presents difficulties for traditional experimental methods due to the presence of size effects, where the response of specimens can differ at different sizes. This issue has been addressed recently with the arrival of the <em>finite similitude scaling theory</em>, which is a theory for relating information across the scales, accounting for any scale effect that might be present. The theory introduces an infinite number of possible similitude rules with lower-order rules (e.g., zeroth, first, and second) having the most practical value, with zeroth order being equivalent to dimensional analysis, and first order able to accommodate the theories of fracture mechanics and fatigue. The first-order finite-similitude rule can be applied experimentally by performing tests at two distinct scales but also analytically at an arbitrary scale but involving additional equations. To confirm that the approach has practical value it is tested in this work against experimental-fatigue data that has appeared recently in the open literature. Numerical simulation is performed with a commercially available finite-element package in support of the study to assess the robustness of the scaled-experimental tests and compliance with the finite-similitude theory. The response of the empirical Paris crack-growth law under scaling is examined to test the criticality of using either scale-invariant or scale-variant parameters in crack-growth predictions. Introduced as part of the work is a method for the experimental determination of Paris-law parameters under the sound assumption that the correct similarity law for fracture-fatigue studies is the first-order finite-similitude rule. The results presented here confirm the veracity and applicability of the finite-similitude scaling theory returning analytical and numerical confirmations to within a few percent of published experimental results.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"138 ","pages":"Article 104956"},"PeriodicalIF":5.0,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143821143","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}
Chao Yuan , Bowen Liu , Peng Chu , Chunfeng Ye , Jianjun Hu
{"title":"Experimental study of fatigue damage and fracture behavior of hot dry rock under thermal shock of seawater","authors":"Chao Yuan , Bowen Liu , Peng Chu , Chunfeng Ye , Jianjun Hu","doi":"10.1016/j.tafmec.2025.104953","DOIUrl":"10.1016/j.tafmec.2025.104953","url":null,"abstract":"<div><div>Global energy transformation has intensified research interest in Enhanced Geothermal Systems (EGS) as a sustainable energy solution. This investigation examines the evolution of fracture characteristics in hot dry rock (HDR) under seawater thermal shock, with particular emphasis on the coupling effects of temperature gradients (100-500°C) and diverse cooling media (air, freshwater, seawater). The experimental methodology incorporated notched deep beam (NDB) configuration for three-point bending tests integrated with Digital Image Correlation (DIC) technology to quantitatively characterize the thermo-chemo-mechanical coupling mechanisms. Statistical analyses demonstrated significant correlations between cooling media and mechanical property degradation (R<sup>2</sup> > 0.82, p < 0.05 across all conditions). Seawater exposure induced the most pronounced deterioration, manifested through maximum peak load reduction (83.50 %), highest fracture toughness variance (σ<sup>2</sup> = 90.64), and largest fracture energy fluctuation amplitude (24.16 N/m), substantially exceeding the corresponding parameters observed in freshwater (64.96 %, σ<sup>2</sup> = 33.17, 13.18 N/m) and air cooling (43.34 %, σ<sup>2</sup> = 11.69, 8.22 N/m). Quantitative analysis revealed three characteristic stages of crack propagation and identified a critical temperature threshold at 300°C, marking significant transitions in mechanical behavior. The elevated crack driving parameter (CDP) in seawater-treated specimens (2.5) compared to freshwater conditions (1.5) indicates that seawater-induced chemical corrosion synergistically enhanced thermal shock effects, accelerating microcrack evolution. These findings establish a theoretical framework for optimizing fracture network development in coastal geothermal reservoir stimulation.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"138 ","pages":"Article 104953"},"PeriodicalIF":5.0,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143825948","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}
Lihong Huang , Zhifeng Li , Xiancai Jiang , Jinquan Guo , Xiaoxiang Yang , Hongyu Zhu , Zhenhua Huang , Xiang Ruan , Jianhong Gao , Shirong Wang
{"title":"Study on fatigue life of mining tires based on fatigue crack propagation theory","authors":"Lihong Huang , Zhifeng Li , Xiancai Jiang , Jinquan Guo , Xiaoxiang Yang , Hongyu Zhu , Zhenhua Huang , Xiang Ruan , Jianhong Gao , Shirong Wang","doi":"10.1016/j.tafmec.2025.104964","DOIUrl":"10.1016/j.tafmec.2025.104964","url":null,"abstract":"<div><div>Owing to the harsh working environment in which mining trucks operate, tires tend to fail prematurely. In this study, using 53/80R63 tires as the research object, two- and three-dimensional finite element models (FEM) of tires were established. A steady-state rolling simulation analysis was carried out. A crack growth test was performed on the rubber material, and the test data were fitted using the least squares method to obtain the fatigue parameters required in this study. According to the simulation results of steady-state rolling, fatigue life prediction under different working conditions was performed using fe-safe™ software, and the effects of different load rates, inflation pressures, and vehicle speeds on tire fatigue life were analyzed. The results show that when the inflation pressure and vehicle speed were constant, with an increase in load, the life of the belt layer and the sidewall part gradually decreased, and the life of the chewing rubber part displayed a sharp decreasing trend. Under the condition of constant load and vehicle speed, with an increase of inflation pressure, the life of the belt layer gradually decreased, and the life of the sidewall part decreased significantly. Under constant load and inflation pressure, vehicle speed had little effect on the tire fatigue life.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"138 ","pages":"Article 104964"},"PeriodicalIF":5.0,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143825947","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}