Theoretical and Applied Fracture Mechanics最新文献

{"title":"Atomistic simulation of crack tip shielding effect due to embedded nanoparticles in amorphous carbon","authors":"Sankha Subhra Aditya,&nbsp;Mohammad Din Al Amin,&nbsp;Samit Roy","doi":"10.1016/j.tafmec.2025.105198","DOIUrl":"10.1016/j.tafmec.2025.105198","url":null,"abstract":"<div><div>It is now well documented in the literature that the inclusion of nanoparticles, such as graphene nanoplatelets (GNP), in matrix materials, such as epoxy, has resulted in significantly improved fracture toughness in mode I and mixed-mode. One of the mechanisms postulated to increase the effective crack initiation fracture toughness is the crack tip shielding effect due to nanoparticles in the fracture process zone. This effect is deemed to arise due to debonding of nanoparticles from the matrix material in the process zone, which in turn reduces the stress state at the tip of the primary crack via shielding. Thus, nanoparticles act to redistribute stress in the crack tip region, thereby lowering the near tip stress intensity factor, depending on their orientation relative to the crack. Therefore, higher far-field loads can be achieved before the critical stress intensity is reached at the crack tip. In this paper the K-test approach is used in conjunction with molecular dynamics (MD) to model fracture in an amorphous carbon matrix material, with embedded GNPs. Amorphous carbon matrix is deliberately selected to facilitate the computational efficiency of the solution process, because the fracture process zone size for amorphous carbon is relatively small from a MD simulation viewpoint. The effect of GNPs on the shielding of the crack tip, with varying orientation and location relative to the crack is investigated using detailed virial stress plots, the atomistic J-integral, and compared with linear elastic fracture mechanics (LEFM) results.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"140 ","pages":"Article 105198"},"PeriodicalIF":5.6,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144917841","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":"Mode III translaminar U-notch fracture toughness assessment of unidirectional composite laminates: effectiveness of the virtual isotropic material concept","authors":"Amir Hossein Memari,&nbsp;A.R. Torabi","doi":"10.1016/j.tafmec.2025.105189","DOIUrl":"10.1016/j.tafmec.2025.105189","url":null,"abstract":"<div><div>In this study, a set of fracture tests are conducted on the U-notched specimens made of E-glass/epoxy composite laminates under mode III loading by using the anti-symmetric four-point bend (ASFPB) configuration. The laminates have four different unidirectional lay-up configurations, and the notched specimens have three various notch tip radii. By using the Virtual Isotropic Material Concept (VIMC), the composite laminate is first modeled as an isotropic plate, enabling one to use brittle fracture criteria that exist for the notch fracture toughness prediction of isotropic materials. Then, two stress based brittle fracture criteria, namely the mean stress (MS) criterion and point stress (PS) criterion, are employed to estimate the fracture toughness of the tested U-notched samples. To do so, a novel approach is proposed to obtain the critical stress and critical distances of the composite laminates under mode III loading, which are seriously required in both criteria. A satisfactory agreement is revealed between the predictions of the VIMC-MS and VIMC-PS criteria and the experimental results, confirming their suitability for simply, rapidly, and accurately estimating the out-of-plane translaminar fracture toughness of U-notched composites without the need for layer-wise analysis.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"140 ","pages":"Article 105189"},"PeriodicalIF":5.6,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144920260","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":"Influence of hole shape on fracture evolution of rock-like specimen under compressive-shear load using DIC method","authors":"Shenchen Zhang ,&nbsp;Qibin Lin ,&nbsp;Hang Lin ,&nbsp;Ke Zhang ,&nbsp;Wenchen Fan ,&nbsp;Huanbao Zhang ,&nbsp;Xinyang Xu","doi":"10.1016/j.tafmec.2025.105199","DOIUrl":"10.1016/j.tafmec.2025.105199","url":null,"abstract":"<div><div>This study systematically investigated the fracture processes of rock-like specimens containing circular, elliptical, trapezoidal, square, and inverted U-shaped holes under compressive-shear load, utilizing digital image correlation (DIC) technology. High-resolution strain and displacement field data were used to capture the complete evolution of crack initiation, propagation, and coalescence. A novel fracture mechanism evolution index (FMEI) model was proposed to dynamically and quantitatively identify the dominant stress mechanisms throughout the loading process. The results indicated that holes with sharp corners tended to induce severe stress concentrations and early failure, whereas circular and elliptical holes exhibited higher load-bearing capacity and more stable crack paths.Most cracks displayed a mixed shear-tensile (ST) failure mode, with the governing stress type exhibited distinct spatiotemporal transitions during fracture development.The FMEI model addressed the limitations of conventional crack identification methods in terms of continuity and quantification, offering a new theoretical framework for analyzing crack patterns and failure mechanisms in complex stress environments.These findings provided valuable insights for the design and stability assessment of cavity-containing structures in underground engineering.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"140 ","pages":"Article 105199"},"PeriodicalIF":5.6,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144913918","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":"Fabrication of internal 3D open-type fractures in binder jetting 3D printed rock matrix using emulsion-based proppants","authors":"Tingyu Hu ,&nbsp;Chaoyu Dou ,&nbsp;Zhuo Cheng ,&nbsp;Guowei Ma ,&nbsp;Zhijian Li","doi":"10.1016/j.tafmec.2025.105202","DOIUrl":"10.1016/j.tafmec.2025.105202","url":null,"abstract":"<div><div>Fractures/joints of various forms are ubiquitous in natural rocks. A key challenge in rock geomechanics is the 3D additive-subtractive fabrication of internal fractures in printed analogs that replicate natural geometries and mechanical behaviors. Nevertheless, challenges remain in fabricating internal 3D open-type fractures in 3D printed specimens due to the intrinsic limitations in additive layer-by-layer construction process. To this gap, this study introduces an innovative approach to fabricate internal 3D open-type fractures in binder jetting 3D printed brittle magnesium phosphate cement specimens. The 3D open-type fractures are fabricated through layer-wise embedding of self-developed evaporative emulsion-based proppants. To investigate printing accuracy, four patterns of square, elliptical, circular, and non-straight internal 3D open-type fractures are constructed. Maximum geometric similarity of 0.92 is achieved for non-straight fractures. Uniaxial compression tests revealed that filling-type fractured specimens exhibit higher peak strength than open-type fractured specimens. Analysis of crack propagation patterns demonstrate that open-type fractures are dominated by wing crack extension, while filling-type fractures are governed by the fillers. Substituting open-type fractures with filling-type factures may overestimate the strength of fracture rock mass, especially for large opening width fractures, registering a potential threat to safety in rock engineering. The current study lays technical groundwork for the basic relationship between 3D fractured geometry, filler interaction and mechanical responses, advancing application of 3D printing technology in fractured rock studies and practical engineering.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"140 ","pages":"Article 105202"},"PeriodicalIF":5.6,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144988631","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 propagation behaviors of two weathering steels and the compatible welding material","authors":"Xiaoqing Xu ,&nbsp;Kaixiang Miao ,&nbsp;Yuqing Liu ,&nbsp;Rui Hao","doi":"10.1016/j.tafmec.2025.105192","DOIUrl":"10.1016/j.tafmec.2025.105192","url":null,"abstract":"<div><div>Weathering steel has been increasingly applied in bridge engineering, meriting its strong atmospheric corrosion resistance, low life-cycle cost, and environmental friendliness. However, the fatigue performance and crack propagation evaluation of weathering steel welded connections are yet well understood. To investigate the widely used two weathering steel grades (Q345qDNH and Q420qDNH) in China and their corresponding compatible welding material THQ500-NQ-II, this paper performed fatigue tests on 33 compact tension (CT) specimens. The fatigue tests include three load ratios (<em>R</em> = 0.1, 0.3, and 0.5), and specimens made of Q345qDNH and THQ500-NQ-II are milled from the original thickness to different thickness (8, 14, 16, and 20 mm), in order to study the effects of load ratio and thickness on fatigue crack propagation. In addition, to study the effect of elastic compressive loading history, two intact specimens are extracted from a full-scale fatigue specimen that has been subjected to millions of loading cycles. The collected data includes fatigue crack length <em>a</em>, fatigue life <em>N</em>, fatigue crack propagation rate d<em>a</em>/d<em>N</em> and stress intensity factor range Δ<em>K</em>. The calibration of Paris parameter <em>C</em> and <em>m</em> is achieved by linear fitting algorithm. The results show that compared to Q420qDNH, Q345qDNH yields a slightly lower d<em>a</em>/d<em>N</em> under the same Δ<em>K</em>, and the welding material has better fatigue crack propagation resistance than base metal. Greater thickness for base material contributes to a better fatigue crack propagation resistance when Δ<em>K</em> is high but has limited effect when Δ<em>K</em> is low. The increase of load ratio <em>R</em> can accelerate the fatigue crack propagation, and it also raises the Paris parameter <em>m</em> linearly for Q345qDNH and decreases the log<em>C</em> linearly for both Q345qDNH and Q420qDNH. A consistent compressive loading history can contribute to retard the fatigue crack propagation under the same Δ<em>K</em>.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"140 ","pages":"Article 105192"},"PeriodicalIF":5.6,"publicationDate":"2025-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144922826","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":"Indentation methods for evaluating fracture toughness in glass materials: A review","authors":"Fanfan Shi ,&nbsp;Dayi Yang ,&nbsp;Yingliang Tian ,&nbsp;Zhiyong Zhao ,&nbsp;Xiaogen Liu","doi":"10.1016/j.tafmec.2025.105195","DOIUrl":"10.1016/j.tafmec.2025.105195","url":null,"abstract":"<div><div>Assessing the fracture toughness (K_Ic) of glass remains a significant area of interest in materials science research worldwide. The Single Edge Pre-cracked Beam (SEPB) method is widely regarded as the international standard for measuring fracture toughness in glass and other brittle substances. In contrast, the indentation fracture test (IFT), though based on the theoretical principles of Griffith-Irwin fracture mechanics, continues to generate debate regarding its practical validity and consistency. This review provides a comprehensive overview of the current status and research progress in the application of IFT for glass. A comprehensive analysis of the primary factors influencing IFT measurement accuracy is presented. Comparisons are made with standardized methods such as SEPB and CNB to objectively evaluate the effectiveness and limitations of IFT. The empirical constant ξ exhibits variability influenced by the geometry of the indenter, the resulting crack pattern, and the structural characteristics of the glass. The content and field strength of network modifiers, as well as the relative proportions of bridging and non-bridging oxygens within the glass network structure, play a critical role in governing crack propagation behavior. Moreover, the instrumental resolution and environmental parameters have been shown to significantly affect the accuracy of <span><math><msubsup><mtext>K</mtext><mrow><mtext>Ic</mtext></mrow><mtext>IFT</mtext></msubsup></math></span> measurements. Compared with the cracking methods, the densification-induced residual stress field during indentation results in a non-uniform stress distribution within the material. This systematic deviation contributes to discrepancies between the measured <span><math><msubsup><mtext>K</mtext><mrow><mtext>Ic</mtext></mrow><mtext>IFT</mtext></msubsup></math></span> value and the true value. This review not only systematically consolidates the current understanding of IFT in glass but also offers critical insights for standardization of the method in future engineering applications.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"140 ","pages":"Article 105195"},"PeriodicalIF":5.6,"publicationDate":"2025-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144906895","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":"Corrosion fatigue – Understanding damage from smooth surfaces","authors":"Robert Akid","doi":"10.1016/j.tafmec.2025.105190","DOIUrl":"10.1016/j.tafmec.2025.105190","url":null,"abstract":"<div><div>The mechanism of corrosion fatigue (CF) of components that do not contain pre-existing defects consists of several damage regimes including stress-assisted corrosion and corrosion-assisted cracking. In this paper a review of these damage regimes is given and supported by experimental evidence. From this knowledge one specific probabilistic model is presented that simulates damage initiated by localised pitting corrosion, followed by the pit-crack transition and early stages of cracking in order to predict corrosion fatigue lifetime. The paper also addresses the role of strain localisation in the formation and location of cracks associated with pits along with references to multi-site pit-initiated cracking and coalescence. From an industrial perspective, understanding the state of damage in a component or structure allows consideration of any maintenance intervention. Further, given details of the size of the pit and the applied stress level, the potential for crack initiation and subsequent crack propagation can be estimate through appropriate modelling.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"140 ","pages":"Article 105190"},"PeriodicalIF":5.6,"publicationDate":"2025-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144922976","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":"Fracture mechanics analysis of the fatigue strength curves of metallic alloys containing defects","authors":"Mirco Daniel Chapetti","doi":"10.1016/j.tafmec.2025.105193","DOIUrl":"10.1016/j.tafmec.2025.105193","url":null,"abstract":"<div><div>The growing emphasis on reliability and safety in mechanical components used in industrial applications has intensified the need for predictive approaches in assessing high cycle fatigue behavior. Recent progress in fracture mechanics has significantly enhanced the ability to estimate fatigue life and endurance limits, particularly in components containing small cracks or manufacturing-induced defects. In manufacturing methods such as additive manufacturing, these inherent defects can often eliminate the crack initiation stage, accelerating the fatigue process. As a result, fatigue damage evolution is predominantly governed by the propagation of cracks from critical defects until the failure.</div><div>This study contributes to a deeper comprehension of the essential structure of conventional Δσ-<em>N</em> curves for material or components with small defects larger than the average microstructural dimension, highlighting their shortcomings in capturing certain fatigue phenomena. Existing alternatives proposed in the literature, such as Δσ/Δσ_th vs. <em>N</em> curves and ΔK vs. <em>N/a</em> curves, are critically evaluated, and a novel approach grounded in fracture mechanics principles is introduced, proposing ΔK/ΔK_th vs. <em>N</em> curves. This approach provides a comprehensive framework for quantifying crack growth behavior throughout the entire fatigue life, while also addressing and clarifying the limitations of earlier models.</div><div>The proposal also allows for more detailed and reliable analyses to be carried out in the prediction of the minimum strengths associated with complex configurations of defects, loading, and material, which can be complemented by the corresponding statistical analyses related to defect distribution and size effect.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"140 ","pages":"Article 105193"},"PeriodicalIF":5.6,"publicationDate":"2025-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144902695","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":"Investigation of dynamic fracture properties of steel fiber-reinforced potassium magnesium phosphate cementitious composites after high-temperature exposure","authors":"Jinping Zhuang ,&nbsp;Bingcheng Chen ,&nbsp;Jian Zhao ,&nbsp;Peifu Lin ,&nbsp;Chengen Shi","doi":"10.1016/j.tafmec.2025.105187","DOIUrl":"10.1016/j.tafmec.2025.105187","url":null,"abstract":"<div><div>Potassium magnesium phosphate cement (MKPC) is well known for its exceptionally high-temperature resistance. However, the inherent brittleness of MKPC becomes more pronounced after exposure to high temperatures, resulting in significantly reduced dynamic fracture properties. This study reinforced the dynamic fracture toughness (<em>K_IC</em>) of MKPC by incorporating microfine steel fibers (MSF). The effects of temperature, MSF dosage, and loading rate on MSF-reinforced MKPC (MSF-MKPC) were systematically investigated, with the underlying mechanisms elucidated through microstructural characterization by scanning electron microscopy (SEM) and X-ray diffraction (XRD). The main findings are as follows: (1) The <em>K_IC</em> of MSF-MKPC initially increases with increasing temperature, subsequently decreases, and eventually slightly recovers. The deterioration in the dynamic fracture properties is caused primarily by the dehydration of the MSF-MKPC matrix at elevated temperatures. (2) Following high-temperature exposure, the <em>K_IC</em> of MSF-MKPC increased with increasing MSF dosage, peaked, and then decreased. In Particular, the incorporation of MSF improved the fracture toughness of MSF-MKPC more effectively after high-temperature exposure than at room temperature, with an optimal dosage of 2%. (3) The <em>K_IC</em> of MSF-MKPC was positively correlated with increasing loading rates; however, the growth rate progressively decreased as the loading rate increased. (4) An empirical formula was established to evaluate the <em>K_IC</em> of MSF-MKPC, which demonstrated strong fitting performance and offered a reliable basis for the evaluation and optimization of material properties.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"140 ","pages":"Article 105187"},"PeriodicalIF":5.6,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144932098","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":"Study on the fracture toughness of fractured rock mass reinforced by MICP/EICP with different calcium sources","authors":"Mingzhi Zhang ,&nbsp;Shuguang Zhang ,&nbsp;Junjie Zheng ,&nbsp;Yu Song ,&nbsp;Jiaming Li","doi":"10.1016/j.tafmec.2025.105188","DOIUrl":"10.1016/j.tafmec.2025.105188","url":null,"abstract":"<div><div>Fractured rock masses are prone to geological hazards due to their structural discontinuity and complex failure mechanisms, and require urgent reinforcement to enhance stability. In this study, microbially induced carbonate precipitation (MICP) and enzyme induced carbonate precipitation (EICP) were used to reinforce fractured rock masses with different fracture angles under two calcium sources: inorganic calcium source CaCl₂ and organic calcium source C₆H₆O₄Ca·H₂O. Perform three-point bending test and scanning electron microscopy test on the reinforced fractured rock mass. The results indicate that when CaCl₂ is used as the calcium source, the reinforcement effect of MICP is mostly better than that of EICP system. CaCO₃ is mainly generated by calcite crystals, which are larger and arranged in different directions. When using C₆H₆O₄Ca·H₂O as the calcium source, most EICP systems exhibit better reinforcement effects. CaCO₃ is mainly generated by vaterite crystals, with tightly arranged crystals and smaller interparticle pores. In addition, polynomial regression models were developed for <em>K_ⅠC</em>, <em>K_ⅠⅠC</em>, and <em>K_eff</em> under different reinforcement methods, and the influence of reinforcement cycles on the bearing capacity and fracture toughness of fractured rock masses was discussed. The analysis showed that increasing the number of reinforcement cycles from 1 to 7 increased the peak load by 12.03 times. This study applies MICP/EICP technology to reinforce fractured rock masses, effectively improving their stability and bearing capacity, and demonstrating good engineering applicability and potential for promotion.</div></div>","PeriodicalId":22879,"journal":{"name":"Theoretical and Applied Fracture Mechanics","volume":"140 ","pages":"Article 105188"},"PeriodicalIF":5.6,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144913917","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}