International Journal of Fracture最新文献

{"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}

{"title":"Modelling of ductile fracture considering the effect of stress triaxiality and the energy partition theory in thin high-strength steel sheets","authors":"I. Tarhouni,&nbsp;P. Maimí,&nbsp;D. Frómeta,&nbsp;D. Casellas","doi":"10.1007/s10704-025-00844-4","DOIUrl":"10.1007/s10704-025-00844-4","url":null,"abstract":"<div><p>It is well recognized in the literature that the fracture process of thin metal sheets involves three energy dissipation mechanisms i.e., plasticity, necking and surface separation. However, the complex stress state in thin structures hinders the experimental assessment of these quantities and, consequently, the failure modelling. This work evaluates the contribution of these mechanisms to the ductile damage of a thin advanced high strength steel sheet under different stress triaxiality ranges. The essential work of fracture test was carried out on a set of different notch geometry specimens that cover a wide range of stress states. The experimental trend of these specimens was simulated in ABAQUS/Explicit using a VUSDFLD subroutine. Bai and Wierzbicki uncoupled fracture model, which is a function of fracture plastic strain to stress triaxiality (<i>η</i>) and normalized Lode angle (<span>(overline{theta }))</span>, was selected as damage initiation criterion. A quantitative relationship of the fracture energy (<i>G</i>_<i>0</i>) as a function of (<i>η</i>) was proposed in this work and implemented in the model as a damage evolution law. The model captures well the experimental response and the influence of (<i>η</i>) on the softening behavior of the material. It was found that the sensitivity of <i>G</i>_<i>0</i> to <i>η</i> is significant between 0.7 and 1.5. Above this rage, it seems that (<i>η</i>) has no influence on <i>G</i>_<i>0</i>. The model showed also the relationship between the two local damage parameters (<i>G</i>_<i>0</i>) and the necking (<i>G</i>_<i>n</i>) with respect to the stress state. <i>G</i>_<i>0</i> represents less than 10% of the total work of fracture, while the largest contribution comes from (<i>G</i>_<i>n</i>).</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00844-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143527646","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":"Phase field approach for managing multi-fragment interactions in load-bearing fractured media","authors":"A. Chao Correas,&nbsp;D. Acquesta,&nbsp;M. Corrado","doi":"10.1007/s10704-025-00843-5","DOIUrl":"10.1007/s10704-025-00843-5","url":null,"abstract":"<div><p>This work introduces a novel approach for characterizing the residual load bearing capacity of fractured components based on the Phase Field fracture model. The underlying idea involves exploiting this well-established framework for fracturing materials and applying it to mechanically loaded domains in which fracture has already occurred. Hence, the continuous phase field here portrays the smeared representation of known crack patterns, based on which the unilateral contact interactions between the crack lips are enforced through a suitable strain energy decomposition. This allows for a theoretically robust and implicit treatment of the originally discontinuous problem while remaining in a continuum framework. As such, the proposed approach avoids the numerically challenging definition and management of conventional contact pairs, thus proving to be especially promising for its application to domains with multiple fragments. Besides presenting the theoretical foundation and algorithmic convenience of the approach, its accuracy and representativeness are proven against theoretical predictions and numerical results from Finite Element models featuring conventional contact interactions.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00843-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143480940","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":"Predicting free edge delamination induced by thermal loading using finite fracture mechanics","authors":"Mohammad Burhan,&nbsp;Zahur Ullah,&nbsp;Zafer Kazancı,&nbsp;Giuseppe Catalanotti","doi":"10.1007/s10704-024-00817-z","DOIUrl":"10.1007/s10704-024-00817-z","url":null,"abstract":"<div><p>The material mismatch between the dissimilarly oriented plies within laminated structures induces localised singular interlaminar stresses at free edges, under various loading conditions such as mechanical, moisture, or thermal. These interlaminar stresses lead to premature interlaminar cracking. This study introduces the application of Finite Fracture Mechanics (FFM) for predicting free edge delamination in angle-ply laminates under uniform thermal loading. The current framework assumes nucleation of semi-elliptically shaped crack at the dissimilar interface, resulting in a 3D FFM criterion. For a given material intrinsic properties, e.g. interlaminar fracture toughness and strength, calculation of quantities such as interlaminar stresses and incremental energy release rates are required. These quantities, necessary for the evaluation of the FFM criterion, are determined semi-analytically through expressions derived from dimensional analysis and finite element models. Dimensional analysis facilitates the finding of these quantities only once using non-dimensionalised functions. The resulting non-dimensionalised functions for stresses and energy release rates are not a function of thermal load and ply thickness. This eliminates the requirement to re-solve the underlying boundary value problem for varying loads and ply thicknesses. The accuracy of finite element models is confirmed against results from models available in literature and dimensional analysis is validated against numerical solutions. The 3D FFM system is solved by assuming a homothetic crack extension and is implemented as a standard constrained nonlinear optimisation problem. In addition to the 3D FFM, another model based on the Theory of Critical Distances (TCD) is employed for validation purposes. The predictions from both the 3D FFM and TCD are compared to those from models available in the literature.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-024-00817-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143430898","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":"Cohesive instability in elastomers: insights from a crosslinked Van der Waals fluid model","authors":"Samuel C. Lamont,&nbsp;Nikolaos Bouklas,&nbsp;Franck J. Vernerey","doi":"10.1007/s10704-025-00840-8","DOIUrl":"10.1007/s10704-025-00840-8","url":null,"abstract":"<div><p>The resistance to volumetric deformations displayed by polymer networks is largely due to secondary and tertiary interactions between neighboring polymer chains. These interactions are both entropic and enthalpic in nature but are fundamentally different from the entropic forces that resist shearing in these networks. In this paper, we introduce a new depiction of elastomers as a crosslinked Van der Waals fluid. Starting from first principles, we develop constitutive equations that are implemented in a continuum model as well as a discrete network model. Our models predict that the failure of polymer networks may be driven by an instability in the underlying polymer bulk ‘fluid’ or by the breaking of polymer chains, depending on the loading path taken. The results of this study indicate that material failure in elastomers exposed to a purely triaxial state, such as in a poker chip experiment, may be driven by an entirely different mode of instability than those deformed in pure shear, such as in a uniaxial tension experiment.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00840-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108031","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":"Phase field modeling of anisotropic silicon crystalline cracking in 3D thin-walled photovoltaic laminates","authors":"Z. Liu,&nbsp;P. Lenarda,&nbsp;J. Reinoso,&nbsp;M. Paggi","doi":"10.1007/s10704-024-00821-3","DOIUrl":"10.1007/s10704-024-00821-3","url":null,"abstract":"<div><p>A novel computational framework integrating the phase field approach with the solid shell formulation at finite deformation is proposed to model the anisotropic fracture of silicon solar cells in the thin-walled photovoltaic laminates. To alleviate the locking effects, both the enhanced assumed strain and assumed natural strain methods are incorporated in the solid shell element formulation. Aiming at tackling the poor convergence performance of standard Newton schemes, the efficient and robust quasi-Newton scheme is adopted for the solution of phase field modeling with enhanced shell formulation in a monolithic manner. Due to fracture anisotropy of the brittle silicon solar cells, the second-order structural tensor that is defined by the normal of preferential crack plane is introduced into the crack energy density function in the phase field modeling. On the other hand, to efficiently predict the crack growth of silicon solar cells, a global–local approach in the 3D setting proposed in the previous work is adopted here for the fracture modeling. In this approach, both mechanical deformation and phase field fracture are accounted for at the local model, while only mechanical deformation is addressed at the global level. At each time step, the solution of the global model is used to drive the local model, which corresponds to the one-way coupling in line with experimental evidence that the silicon cell cracking has negligible influence on the stiffness of photovoltaic modules. The capability of the modeling framework is demonstrated through numerical simulation of silicon solar cell cracking in the photovoltaic modules when subjected to different loading cases.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-024-00821-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109884","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":"Peeling an architected interface: roles of softness and fractoadhesive length in adhesion toughening","authors":"Zumrat Usmanova,&nbsp;Ruobing Bai","doi":"10.1007/s10704-024-00835-x","DOIUrl":"10.1007/s10704-024-00835-x","url":null,"abstract":"<div><p>Soft adhesion has been rapidly studied and developed for various applications in recent years. Compared to existing toughening mechanisms based on the adherend or adhesive materials themselves, building architectures or patterns in soft adhesion offers an attractive way of enhancing adhesion without modifying the intrinsic material properties. However, despite the recent progress in soft architected adhesion, the fundamental interplay between the geometry and material properties remains largely unexplored. This results in questions about the geometric conditions for effective toughening and the roles of intrinsic material parameters in governing these conditions. Here we explore the geometry-elasticity interplay in toughening a soft architected bilayer with one-dimensional rectangular interfacial pillars. Using finite element simulations on 90-degree peel, we investigate effects of the adherend modulus, pillar aspect ratio, and interfacial contact ratio on the peel strength. We show that compared to a uniform interface, soft interfacial pillars (shear modulus ~ 0.6 MPa) with a high aspect ratio (&gt; 4) can enhance the peel strength to more than 4 times, while stiff pillars (shear modulus ~ 1.5 MPa) only provide a limited enhancement (up to 1.5 times). Such enhancement is further amplified by increasing the interfacial contact ratio, where the best enhancement occurs when pillars are closely packed like a cross-cut surface (100% in contact yet architected). We develop a theory and scaling for the effective adhesion toughness and identify the fractoadhesive length of architected adhesion. We show that the fractoadhesive length provides a lower bound of the architecture feature size for effective toughening, while a large stretch at debonding in pillars further amplifies the toughening. Using an Ashby plot of the relevant architecture feature size and the fractoadhesive length in various architected adhesion systems, we conclude that macroscale architectures are necessary for effective toughening of soft adhesion with large fractoadhesive lengths.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-024-00835-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109979","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}