International Journal of Fracture最新文献

{"title":"The role of β-phase on crack nucleation and propagation in dual phase zirconium polycrystals: a crystal plasticity finite element modeling","authors":"Saiedeh Marashi,&nbsp;Hamidreza Abdolvand","doi":"10.1007/s10704-025-00850-6","DOIUrl":"10.1007/s10704-025-00850-6","url":null,"abstract":"<div><p>This paper aims to numerically investigate the nucleation and propagation of microcracks in dual phase Zirconium (Zr) containing both Hexagonal Close-Packed (HCP) α-Zr and Body Centered Cubic (BCC) β-Zr crystals. For this purpose, a subroutine that incorporates different damage criteria is coupled with a crystal plasticity finite element model to investigate the effects of crystals elastic and plastic anisotropy. Attention is given to the role of the BCC β-phase in the crack nucleation of notched zirconium polycrystals. First, the maximum shear strain accumulated on the predominant slip system is used as the crack initiation criterion. The modeling results reveal that for single phase HCP α-grains cracks lie on the prismatic planes, but for dual phase α/β cases, cracks may lie on either basal or prismatic planes depending on the α/β crystal orientations, and the adjacent β-phase features such as its thickness or distance from the notch. Moreover, numerical results indicate that the presence of thin layered β-phase hinders crack propagation, regardless of its geometrical or crystallographic features. The performance of other damage criteria is also discussed. Lastly, it is shown that in comparison to α-grains undergoing cyclic loads, the crack propagation rate is reduced in β-crystals.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143892676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Adaptive virtual element method with RCP for mixed-mode fracture analysis of marble rocks using GMTS criterion","authors":"Abdallah Salama,&nbsp;Ahmed Elsayed,&nbsp;Atef Eraky,&nbsp;Rania Samir","doi":"10.1007/s10704-025-00846-2","DOIUrl":"10.1007/s10704-025-00846-2","url":null,"abstract":"<div><p>This paper investigates the application of the Virtual Element Method (VEM) for simulating crack propagation in 2D marble rock under linear elastic fracture mechanics (LEFM) conditions. The inherent mesh flexibility of VEM is leveraged by employing an adaptive mesh refinement (AMR) strategy based on recovery by compatibility in patches (RCP) for triangular, quadrilateral, and even polygonal meshes. The accuracy and efficiency of crack path prediction are enhanced by calculating stress intensity factors (SIFs) and T-stress through the interaction domain integral method coupled with the Generalized Maximum Tangential Stress (GMTS) criterion. The effectiveness of this approach is validated using three distinct marble rock specimens with varying material properties and initial crack configurations: semi-circular bend (SCB) Harsian Marble, center-cracked circular disk (CCCD) limestone, and edge-cracked triangular (ECT) Neyriz Marble. The GMTS criterion, incorporating three parameters (KI, KII, and T), precisely predicts crack initiation and propagation directions, demonstrating its superiority for mixed-mode fractures.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00846-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143883666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"High-velocity fragmentation of titanium alloy rings and cylinders produced using Field-Assisted Sintering Technology","authors":"T. Virazels,&nbsp;S. Lister,&nbsp;O. Levano-Blanch,&nbsp;M. Jackson,&nbsp;J. A. Rodríguez-Martínez,&nbsp;J. C. Nieto-Fuentes","doi":"10.1007/s10704-024-00829-9","DOIUrl":"10.1007/s10704-024-00829-9","url":null,"abstract":"&lt;div&gt;&lt;p&gt;This paper explores the mechanics of high-velocity impact fragmentation in titanium alloys produced by Field-Assisted Sintering Technology. For that purpose, we have utilized the experimental setups recently developed by Nieto-Fuentes et al. (J Mech Phys Solids 174:105248, 2023a; Int J Impact Eng 180:104556, 2023b) for conducting dynamic expansion tests on rings and cylinders. The experiments involve firing a conical-nosed cylindrical projectile using a single-stage ight-gas gun against the stationary ring/cylinder at velocities ranging from &lt;span&gt;(approx 248~text {m}/text {s})&lt;/span&gt; to &lt;span&gt;(approx 390~text {m}/text {s})&lt;/span&gt;, corresponding to estimated strain rates in the specimen varying from &lt;span&gt;(approx 10050~text {s}^{-1})&lt;/span&gt; to &lt;span&gt;(approx 19125~text {s}^{-1})&lt;/span&gt;. The diameter of the cylindrical part of the projectile exceeds the inner diameter of the ring/cylinder, causing the latter to expand as the projectile moves forward, resulting in the formation of multiple necks and fragments. Two different alloys have been tested: Ti6Al4V and Ti5Al5V5Mo3Cr. These materials are widely utilized in aeronautical and aerospace industries for constructing structural elements such as compressor parts (discs and blades) and Whipple shields, which are frequently exposed to intense mechanical loading, including high-velocity impacts. However, despite the scientific and technological significance of Ti6Al4V and Ti5Al5V5Mo3Cr, and the extensive research on their mechanical and fracture behaviors, to the best of the authors’ knowledge, no systematic study has been conducted thus far on the dynamic fragmentation behavior of these alloys. Hence, this paper presents an ambitious fragmentation testing program, encompassing a total of 27 and 29 experiments on rings and cylinders, respectively. Monolithic and multimaterial samples—half specimen of Ti6Al4V and half specimen of Ti5Al5V5Mo3Cr—have been tested, taking advantage of the ability of Field-Assisted Sintering Technology to produce multimaterial parts. The fragments have been collected, weighed, sized, and analyzed using scanning electron microscopy. The experiments have shown that the number of necks, the number of fragments, and the proportion of necks developing into fragments generally increase with expansion velocity. The average distance between necks has been assessed against the predictions of a linear stability analysis (Zhou et al. in Int J Impact Eng 33:880–891 2006; Vaz-Romero et al. in Int J Solids Struct 125:232–243, 2017), revealing satisfactory agreement between theoretical predictions and experimental results. In addition, the experimental results have been compared with tests reported in the literature for various metals and alloys (Nieto-Fuentes et al. in J Mech Phys Solids 174:105248, 2023a; Zhang and Ravi-Chandar in Int J Fract 142:183–217, 2006, Zhang and Ravi-Chandar in Int J Fract 150:3–36, 2008) to examine the influence of material behavior on the statistics of ","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-024-00829-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143698489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A data-driven geometry-specific surrogate model for forecasting the load–displacement behavior until ductile fracture","authors":"Surajit Dey,&nbsp;Ravi Kiran","doi":"10.1007/s10704-025-00839-1","DOIUrl":"10.1007/s10704-025-00839-1","url":null,"abstract":"<div><p>The present study aims to configure and train a data-driven geometry-specific surrogate model (DD GSM) to simulate the load–displacement behavior until fracture in cylindrical notched specimens subjected to uniaxial monotonic tension tests. Plastic strain hardening that governs the load–displacement behavior and ductile fracture in metals are history-dependent phenomena. With this, the load–displacement response until ductile fracture in metals is hypothesized as time sequence data. To test our hypothesis, a long short-term memory (LSTM) based deep neural network was configured and trained. LSTM is a type of neural network that takes sequential data as input and forecasts the future based on the learned past sequential trend. In this study, the trained LSTM network is referred to as DD GSM as it is used to forecast the load–displacement behavior until ductile fracture for the cylindrical notched specimens. The DD GSM is trained using the load–displacement data until fracture, extracted from the finite element analyses of notched cylindrical test specimens made of ASTM A992 steel. The damage leading to fracture was captured using the Gurson–Tvergaard–Needleman (GTN) model. Finally, the trained DD GSM is validated by predicting the overall load–displacement behavior, fracture displacement, and peak load-carrying capacity of cylindrical notched ASTM A992 structural steel specimens available in the literature that are not used for training purposes. The DD GSM was able to forecast some portions of the load–displacement curve and predict the fracture displacement and peak load-carrying capacity of the notched specimens. Furthermore, the geometric sensitivity of the trained DD GSM was demonstrated by simulating the load–displacement response of an ASTM A992 steel bar with a central hole.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143668390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Approximate analytical solutions for the energy release rate of planar cracks in constrained elastic thin layers","authors":"Sida Hao,&nbsp;Rui Huang,&nbsp;Gregory J. Rodin","doi":"10.1007/s10704-025-00848-0","DOIUrl":"10.1007/s10704-025-00848-0","url":null,"abstract":"<div><p>Within the context of linear elasticity, approximate analytical solutions are developed for the energy release rate for axisymmetric planar cracks in elastic thin layers sandwiched between two rigid plates. These solutions are validated by comparing them with finite element solutions, and they are applicable to cracks in constrained thin layers made of compressible, nearly incompressible, or incompressible materials. These analytical solutions provide insights into the effects of geometry and material compressibility on fracture of thin layers. In particular, stability of crack growth is discussed under both displacement and force-controlled loading conditions, summarized in stability maps. Remarkably, it is found that, under force-controlled conditions, stable crack growth is possible in incompressible or nearly incompressible layers, but not in compressible layers. We compare the energy release rates for embedded and interfacial cracks, showing that they differ when the cracks are small but become approximately equal for large cracks. The analytical approach is further extended to non-axisymmetric planar cracks in compressible thin layers. However, a similar extension does not apply for cracks in incompressible or nearly incompressible layers.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143645618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The influence of crack tip dislocation emission on the fracture toughness","authors":"Lei Zhang,&nbsp;Erik van der Giessen,&nbsp;Francesco Maresca","doi":"10.1007/s10704-025-00847-1","DOIUrl":"10.1007/s10704-025-00847-1","url":null,"abstract":"<div><p>Crack-tip dislocation emission is often considered to be the key mechanism that controls the so-called “intrinsically ductile” fracture behaviour. Yet, high fracture toughness and ductility in metals are determined by extensive plastic deformation that dissipates much more energy than solely due to the crack-tip emission process. Thus, there is a gap between intrinsically ductile behaviour and large toughness. Here, we implement the dislocation emission process within a 2D discrete dislocation plasticity (DDP) framework. The framework, which includes anisotropic elasticity and a cohesive-zone model to simulate crack propagation, enables to investigate the interplay between dislocation emission and near-crack-tip plasticity associated with activation of dislocation sources. Guided by dimensional analysis and a sensitivity study, we identify the main variables controlling the fracture process, including dislocation source and obstacle density, dislocation emission strength and the associated dwelling time-scales. DDP simulations are conducted with a range of parameters under mode-I loading. The initiation fracture toughness and the crack-growth resistance curve (R-curve) are calculated accounting for the statistics of dislocation and obstacle distributions. Comparison is performed with cases where no dislocation emission is enabled. Our findings show that dislocation emission can slow down crack growth considerably, resulting in a significant increase in slope of the R-curve. This phenomenon is due to crack-tip shielding caused by the emitted dislocations. Thus, intrinsic ductility can enhance crack-growth resistance and fracture toughness. However, we find that the extent of shielding can also be negligible for some emission planes, making the connection between intrinsic ductility and fracture toughness not straightforward.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00847-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143632515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Numerical study of multi-stage hydraulic fracture propagation behaviors in triaxial stress state under different mining stages","authors":"Xiaokai Huang,&nbsp;Nan Li,&nbsp;Yunpeng Zhang,&nbsp;Qiming Zhang,&nbsp;Enyuan Wang,&nbsp;Weichen Sun,&nbsp;Jincheng Qiu,&nbsp;Lihong Sun","doi":"10.1007/s10704-025-00845-3","DOIUrl":"10.1007/s10704-025-00845-3","url":null,"abstract":"<div><p>Hydraulic fracturing has been widely applied in underground mines for disaster prevention. The effectiveness is highly depended on the morphology of hydraulic fracture (HF), which, however, greatly affected by mining activities. Revealing the propagation behaviors of HF is of profound significance to understand the coupling of coal mining and hydraulic fracturing. In this paper, HF propagation was conducted based on lattice-spring method (LSM) after the analysis of mining-induced triaxial stress. The effects of mining stage, injection rate, and fracturing interval on HF propagation are investigated. The results show that mining-induced triaxial stress is beneficial to the formation of HF network. Once beyond rock failure pressure, increasing injection rate emphasized the stress shadow effect regardless of high or low stress state, resulting in crossing and diversion HFs. However, this effect was mitigated by broadening fracturing intervals which beneficial for vertical cessation HFs. Due to the complicated stress state in severely-affected stress region, the propagation length and angle of HF were influenced significantly, contributing to the occurrence of distortional HFs, HFs connection, and cross-layer phenomenon. Therefore, in the severely-affected stress region, an interlaced fracture network is likely to emerge, particularly in the case of narrow fracturing intervals and high injection rates. The research is committed to provide constructive suggestions for optimizing hydraulic fracturing under mining.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Length scales in the tear resistance of soft tissues and elastomers: a comparative study based on computational models","authors":"E. Kahle,&nbsp;R. Alberini,&nbsp;A. E. Ehret,&nbsp;E. Mazza,&nbsp;A. Spagnoli","doi":"10.1007/s10704-025-00842-6","DOIUrl":"10.1007/s10704-025-00842-6","url":null,"abstract":"<div><p>Fracture toughness describes a material’s ability to resist failure in the presence of defects. In case of soft biological tissues, a reliable determination and interpretation of the fracture properties is essential to estimate the risk of fracture after clinical interventions. Here we perform a comparative computational study between soft biological tissues and compliant elastomers to discuss the influence of material non-linearity on the crack tip nearfield. Using detailed finite element simulations, singular near-tip stress fields are obtained, and a so-called nonlinear region is identified. Additional focus is put on the effect of material nonlinearity on the phenomenon of elastic crack blunting, by analysing the deformed crack profile and extracting a radius of curvature at the tip. Through concepts of traditional fracture mechanics, we identify the size of the process zone and nonlinear elastic zone in biological tissues, juxtaposed with that of elastomers, demonstrating the limitations of the traditional metrics in capturing the remarkable defect tolerance of this highly nonlinear material class.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00842-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143583607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The impact of hydrogen flakes on the uniaxial and biaxial fracture toughness of a forged ferritic steel","authors":"F. Tankoua,&nbsp;C. Jacquemoud,&nbsp;M. B. Le,&nbsp;G. Roussel","doi":"10.1007/s10704-025-00841-7","DOIUrl":"10.1007/s10704-025-00841-7","url":null,"abstract":"<div><p>This work focuses on the effects of hydrogen flakes on the fracture toughness of forged ferritic steel under uniaxial or biaxial loading conditions. The fracture toughness under uniaxial loading was investigated on CT specimens and cruciform specimens were used for the biaxial loading conditions representative of a thermal shock in a Reactor Pressure Vessel. The observed decrease in fracture toughness in the flaked material was related to the higher carbon content near the hydrogen flake. Moreover, the nature of the initial defect (fatigue crack or hydrogen flake) did not significantly affect the fracture toughness. The cruciform specimen exhibited higher fracture toughness compared to CT specimens, even in the presence of flakes. This confirmed the conservatism of standard fracture analyses used for structure integrity assessment based on a lower bound fracture toughness curve obtained from CT specimens.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00841-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143553777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Small-scale domain switching near sharp piezoelectric bi-material notches","authors":"Miroslav Hrstka,&nbsp;Michal Kotoul,&nbsp;Tomáš Profant,&nbsp;Marta Kianicová","doi":"10.1007/s10704-024-00823-1","DOIUrl":"10.1007/s10704-024-00823-1","url":null,"abstract":"<div><p>Assuming a scenario of small-scale domain switching, the dimensions and configuration of the domain switching region preceding a clearly defined primarily monoclinic piezoelectric bi-material notch are determined by embracing the energetic switching principle and micromechanical domain switching framework proposed by Hwang et al. (Acta Metall Mater 43(5):2073–2084, 1995. https://doi.org/10.1016/0956-7151(94)00379-V) for a given set of materials, structure, and polarization alignment. The piezoelectric bi-material under consideration comprises piezoelectric ceramics PZT-5H and BaTiO₃. The analysis of the asymptotic in-plane field around a bi-material sharp notch is conducted utilizing the extended Lekhnitskii–Eshelby–Stroh formalism (Ting in Anisotropic elasticity, Oxford University Press. 1996. https://doi.org/10.1093/oso/9780195074475.001.0001). Subsequently, the boundary value problem with the prescribed spontaneous strain and polarization within the switching domain is solved and their influence on the in-plane intensity of singularity at the tip of interface crack is computed. The effects of the initial poling direction on the resulting variation of the energy release rates are discussed.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-024-00823-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143533245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}