International Journal of Fracture最新文献

Fluid driven fracturing of rocks using interface pore pressure cohesive element technique 基于界面孔压黏聚元技术的流体驱动岩石压裂

IF 2.8 3区工程技术

International Journal of Fracture Pub Date : 2026-10-13 DOI: 10.1007/s10704-026-00946-7

Subhadeep Sircar, V. B. Maji

{"title":"Fluid driven fracturing of rocks using interface pore pressure cohesive element technique","authors":"Subhadeep Sircar, V. B. Maji","doi":"10.1007/s10704-026-00946-7","DOIUrl":"10.1007/s10704-026-00946-7","url":null,"abstract":"<div><p>Fluid-driven fracturing is a phenomenon observed in numerous engineering problems, with hydrocarbon recovery being one of the most significant applications. Analyzing this type of fracture is complex due to the involvement of hydro-mechanical coupling. Among various FEM-based numerical techniques, the intrinsic interface pore pressure cohesive element (PPCE) method is straightforward to implement. However, this method requires pre-positioning the PPCEs into the mesh along the anticipated fracture path, reducing its flexibility for models with complex scenarios where the fracture path cannot be predicted a priori. To address this issue, a mesh post-processing technique is needed, where PPCEs are placed around the bulk elements of the mesh, allowing the fracture to pass through these PPCEs as it evolves. This research presents such a technique with a new mesh post-processing algorithm. To better analyze the fracture and hydro-mechanical coupling, higher-order triangular element discretization is adopted for the domain, while the PPCEs are considered linear. Several validation analyses have been conducted. The results indicate that this technique is robust and capable of accurately representing fracture propagation. Through comprehensive validation analyses, the method has demonstrated its effectiveness in capturing the intricate details of fracture evolution. The mesh post processing ability to place PPCEs around bulk elements ensures that the technique remains flexible and applicable in complex scenarios. This enhanced flexibility highlights the technique’s reliability and precision in modeling fluid-driven fracturing in saturated rock mass.\u0000</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189059","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}

引用次数: 0

A shear-box method for measuring true Mode III fracture toughness of brittle rock: theoretical analysis and experimental validation 测量脆性岩石真III型断裂韧性的剪切箱法：理论分析与实验验证

IF 2.8 3区工程技术

International Journal of Fracture Pub Date : 2026-10-13 DOI: 10.1007/s10704-026-00949-4

Dongliang Sun, Xia Dong, Shanyong Wang, Junkun Tan, Wei Yi

{"title":"A shear-box method for measuring true Mode III fracture toughness of brittle rock: theoretical analysis and experimental validation","authors":"Dongliang Sun, Xia Dong, Shanyong Wang, Junkun Tan, Wei Yi","doi":"10.1007/s10704-026-00949-4","DOIUrl":"10.1007/s10704-026-00949-4","url":null,"abstract":"<div><p>Fracture toughness is an essential mechanical parameter for characterizing crack initiation, growth, and unstable failure in rock engineering, especially in underground excavation, deep mining, and subsurface energy storage. Although considerable progress has been made in measuring Mode I and Mode II fracture toughness, experimental techniques for reliably determining the Mode III fracture toughness of brittle rocks are still scarce. To address this limitation, this study proposes a shear-box (SB) testing method for evaluating the Mode III fracture toughness of brittle rock under combined compression–tearing loading. The applicability of the method is examined using a modified mixed-mode I/III fracture criterion that accounts for the T-stress effect, enabling the fracture mechanism and crack initiation direction in the SB specimens to be identified. Axial compression tests were performed on double-cracked red sandstone SB specimens with a crack inclination angle of 75°. Theoretical results indicate that crack initiation occurs along the initial crack plane and the corresponding fracture mechanism is of Mode III. Experimental observations confirm that the cracks initiate and propagate almost entirely along the initial crack plane, demonstrating that true Mode III fracture can be achieved using the proposed SB method. The measured Mode III fracture toughness, <i>K</i><sub>IIIC</sub>, of the test red sandstone is approximately 2.6 times greater than the Mode I fracture toughness, <i>K</i><sub>IC</sub>. Overall, the proposed method provides a practical and feasible approach for determining the Mode III fracture toughness of brittle rocks and offers a useful basis for evaluating shear-dominated failure in underground rock engineering subjected to complex loading conditions.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189058","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}

引用次数: 0

On the crack initiation along brittle viscoelastic adhesive layer in DCB test DCB试验中沿脆性粘弹性粘接层裂纹萌生的研究

IF 2.8 3区工程技术

International Journal of Fracture Pub Date : 2026-09-24 DOI: 10.1007/s10704-026-00948-5

Éric Paroissien, Julien Jumel

{"title":"On the crack initiation along brittle viscoelastic adhesive layer in DCB test","authors":"Éric Paroissien, Julien Jumel","doi":"10.1007/s10704-026-00948-5","DOIUrl":"10.1007/s10704-026-00948-5","url":null,"abstract":"<div><p>The double cantilever beam (DCB) test is commonly used to assess the adhesive layer toughness in pure mode I. But adhesives are polymeric materials which can dissipate energy by viscosity. In a previous paper, the investigation of the crack propagation along brittle viscoelastic layer in DCB test shows that the critical strain energy release rate a given crack growth rate is dependent on the loading conditions and on the current crack length. In this paper, the influence of loading conditions and initial crack length on the crack initiation is investigated through a large numerical test campaign. The DCB specimen is modelled as Timoshenko beams supported by a brittle viscoelastic foundation. Three different resolution schemes are used: (i) a Eulerian self-similar approach, Lagrangian approaches (ii) based on macro-element modeling and based on the inversion of the solution in the Laplace domain. It is shown that the latter approach is appropriate to the crack initiation analysis, and the crack initiation is strongly driven by the loading rate rather than the initial crack length. Thus, establishing a master curve describing the crack initiation conditions would make sense providing the appropriate dimensionless quantities are identified.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035035","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}

引用次数: 0

Numerical modeling of concrete fracture and size effect using position-based high aspect ratio solid elements 基于位置的高纵横比实体单元的混凝土断裂与尺寸效应数值模拟

IF 2.8 3区工程技术

International Journal of Fracture Pub Date : 2026-09-17 DOI: 10.1007/s10704-026-00947-6

Danilo Silva Bomfim, Fabrice Gatuingt, Humberto Breves Coda, Rodrigo Ribeiro Paccola

{"title":"Numerical modeling of concrete fracture and size effect using position-based high aspect ratio solid elements","authors":"Danilo Silva Bomfim, Fabrice Gatuingt, Humberto Breves Coda, Rodrigo Ribeiro Paccola","doi":"10.1007/s10704-026-00947-6","DOIUrl":"10.1007/s10704-026-00947-6","url":null,"abstract":"<div><p>The size effect, defined as the reduction in nominal structural strength with increasing size, is a critical phenomenon in concrete and other quasi-brittle materials, governed by fracture processes such as crack initiation, propagation, and localization within the fracture process zone (FPZ). As the structural size increases, the relative influence of the FPZ diminishes, resulting in more brittle behavior. Although several numerical approaches have advanced the understanding of size effects, challenges still remain in accurately and efficiently capturing fracture processes and size-dependent behavior. In this context, the present study applies a recently developed approach, namely the position-based mesh fragmentation technique, which employs high-aspect-ratio solid elements to explicitly simulate concrete fracture. The study investigates size effects in concrete beams subjected to three-point bending under both pure Mode I and mixed-mode loading conditions, considering unnotched and notched specimens with different notch-to-depth ratios. The numerical results are complemented by a comprehensive statistical analysis, including quality indicators that provide a benchmark reference for future comparisons. Average computational times are also reported, providing benchmark values for efficiency comparisons that are rarely addressed in the literature. Moreover, the study provides insights into the influence of the FPZ and boundary conditions on structural strength and failure modes, establishing an efficient and statistically validated numerical framework for predicting size effects in concrete structures. Additionally, the numerical and experimental results are compared using Bažant’s size effect law, allowing the assessment of the numerical framework in terms of its capability to reproduce the scaling behavior of nominal strength with increasing structural size.\u0000</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-026-00947-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148986621","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}

引用次数: 0

A unified nonlocal theory for the phase-field modeling of fracture 裂缝相场模拟的统一非局部理论

IF 2.8 3区工程技术

International Journal of Fracture Pub Date : 2026-09-16 DOI: 10.1007/s10704-026-00943-w

Zhi-hai Wang, Feng-yun Sun, Zhen-jiang You, Yun-yu Zhou, Peng-yu Zhang, Qi Huang

{"title":"A unified nonlocal theory for the phase-field modeling of fracture","authors":"Zhi-hai Wang, Feng-yun Sun, Zhen-jiang You, Yun-yu Zhou, Peng-yu Zhang, Qi Huang","doi":"10.1007/s10704-026-00943-w","DOIUrl":"10.1007/s10704-026-00943-w","url":null,"abstract":"<div><p>Though the partial differential equations of a phase-field modeling of fracture can be solved by numerical methods, providing a measure or formulation for the interaction between the phase-field and driving force remains a daunting task. Here, a unified nonlocal theory for the damaged state and quasi-brittle failure of material is proposed, which provides a measure or formulation for this interaction. Firstly, a nonlocal kernel is presented to provide a very transparent representation of the phase-field equations of crack evolution, demonstrating the dependency of the interaction on the length-scale parameter. Secondly, some essential properties of the nonlocal kernel are presented and analyzed. Finally, some representative examples are provided to illustrate this interaction and its typical applications. Based on the new theoretical framework, the nonlocal kernel can be considered as a measure for this interaction between the phase-field and driving force. Moreover, the essential properties of the phase-field equation of crack evolution that governs the spatial distribution of phase-field can be modeled in a unified manner. More importantly, the analysis provides: (i) the essential properties of the nonlocal kernel, (ii) a new essential property of the energetic degradation function, and (iii) the crack density functional with higher-order derivatives of the phase-field.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148986191","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}

引用次数: 0

Constitutive modeling of concrete under tensile loading: damage evolution from 3D microcracks 混凝土在拉伸荷载下的本构建模：三维微裂纹的损伤演化

IF 2.8 3区工程技术

International Journal of Fracture Pub Date : 2026-09-16 DOI: 10.1007/s10704-026-00945-8

Yuhong Liu, Xianfeng Wang, Makoto Obata, Kenichi Maeda, Tetsuya Nonaka, Dawei Qin, Feng Xing

{"title":"Constitutive modeling of concrete under tensile loading: damage evolution from 3D microcracks","authors":"Yuhong Liu, Xianfeng Wang, Makoto Obata, Kenichi Maeda, Tetsuya Nonaka, Dawei Qin, Feng Xing","doi":"10.1007/s10704-026-00945-8","DOIUrl":"10.1007/s10704-026-00945-8","url":null,"abstract":"<div><p>The reliable prediction of damage and failure in quasi-brittle materials, such as concrete, is of critical importance for the safety and durability of civil engineering structures. A key challenge lies in linking microscopic crack mechanisms to the macroscopic mechanical response. To address this, this study develops a micromechanical damage constitutive framework for quasi-brittle materials under tensile loading. Microcracks oriented in different directions are introduced as internal variables to represent damage evolution, while the stress–strain response is derived through micromechanical homogenization. An energy-based criterion is employed to capture microcrack propagation, including nonlinear hardening effects associated with the fracture process zone. The framework is implemented within a finite element platform. The material behavior is verified through a theoretical solution, and then compact tensile tests are simulated. The proposed model offers a multiscale approach that not only deepens the understanding of microcrack-induced damage but also provides a practical tool for simulating the failure behavior of concrete and other quasi-brittle materials in engineering applications.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148986194","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}

引用次数: 0

Numerical study on geometric constraint effects on ductile fracture toughness of thin advanced high-strength steel sheet 几何约束对先进高强薄板韧性断裂韧性影响的数值研究

IF 2.8 3区工程技术

International Journal of Fracture Pub Date : 2026-09-04 DOI: 10.1007/s10704-026-00942-x

I. Tarhouni, P. Maimí, T. Venant, D. Frómeta, D. Casellas

{"title":"Numerical study on geometric constraint effects on ductile fracture toughness of thin advanced high-strength steel sheet","authors":"I. Tarhouni, P. Maimí, T. Venant, D. Frómeta, D. Casellas","doi":"10.1007/s10704-026-00942-x","DOIUrl":"10.1007/s10704-026-00942-x","url":null,"abstract":"<div><p>The total fracture energy arises from the energy dissipated within the fracture process zone, comprising the work of necking and the work of fracture, and the energy dissipated in the surrounding plastic zone, referred to as plastic work. The essential work of fracture methodology expresses the fracture toughness in terms of these energy contributions. Although the influence of the geometric parameters, namely thickness and ligament length, on the cracking resistance is well established in the literature, their effect on the different energy contributions are less understood. This work investigates how the different energy contributions evolve with sheet thickness and ligament length, using existing theoretical framework. The ligament length effect was studied experimentally and numerically under the scope of the essential work of fracture, covering both conventional and small ligament regimes, whereas the effect of the thickness was investigated numerically. A new local quantity was introduced to quantify the energy dissipated within the fracture process zone, at a distance from the crack plane, allowing the estimation of necking height. The results show that the necking work per unit area increases with thickness up to a critical value, beyond which it decreases. While thinner specimens undergo more severe necking, thicker specimens dissipate greater necking energy before the critical thickness. Furthermore, the linear extrapolation of the essential work of fracture in the small-ligament regime yields a fracture energy whose value depends on the sheet thickness.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-026-00942-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148926675","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}

引用次数: 0

Virtual grid stress recovery (VGSR): an alternative to singular elements for simplified stress intensity factor evaluation of three-dimensional non-planar cracks 虚拟网格应力恢复（VGSR）：用于简化三维非平面裂缝应力强度因子评估的奇异单元的替代方法

IF 2.8 3区工程技术

International Journal of Fracture Pub Date : 2026-09-03 DOI: 10.1007/s10704-026-00939-6

Nastaran Movahedi, Tong-Seok Han, Kyoungsoo Park

引用次数: 0

Single edge notch bending fracture behaviour of latticed structured inconel 718 parts made by laser powder bed fusion 激光粉末床熔合法制备晶格结构inconel 718零件的单边缺口弯曲断裂行为

IF 2.8 3区工程技术

International Journal of Fracture Pub Date : 2026-09-02 DOI: 10.1007/s10704-026-00944-9

Vamshi Veeraiahgari, Srinivasa Prakash Regalla, Suresh Kurra

{"title":"Single edge notch bending fracture behaviour of latticed structured inconel 718 parts made by laser powder bed fusion","authors":"Vamshi Veeraiahgari, Srinivasa Prakash Regalla, Suresh Kurra","doi":"10.1007/s10704-026-00944-9","DOIUrl":"10.1007/s10704-026-00944-9","url":null,"abstract":"<div><p>Fracture-resistant, light-weight Inconel-718 components are important for aerospace applications. This work studies the single-edge notch bending (SENB) fracture properties of lattice-structured Inconel 718 parts manufactured by laser powder bed fusion (LPBF) additive manufacturing. The lattice structures incorporated in the SENB test specimens include three new strut-based unit cells, named ULS-1, ULS-2, and ULS-3, which were designed to have positive Maxwell numbers and stretch-dominant behaviour. Their flexural strength and fracture strength parameters were estimated using the ASTM-E1820 standard for SENB in the three-point bending test configuration and compared with those of lattice-structured SENB specimens with two existing unit cells, namely, Kagome and Octet, and one triply periodic minimal surface (TPMS) lattice structure, namely, the Primitive. The ULS-1, ULS-2, and ULS-3 were found to have higher flexural modulus, specific yield load, fracture toughness, specific fracture toughness, fracture energy release rate, and specific fracture energy release rate compared to those for the Primitive, Kagome, and Octet by about 13% to 800% in as-built condition and by 19 to 645% in heat-treated condition for the comparable relative density values. Stress-relieving heat treatment (HT) applied on the as-built LPBF-made specimens further improved the strength and fracture toughness of all the specimens by about 9.8% to 46.6%. The results indicated that stretch-dominant lattice structures with custom-built strut-based unit cells can enable achieving a high fracture strength-to-weight ratio.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148926557","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}

引用次数: 0

Phase-field coupled crystal plasticity modeling of fatigue fracture in pearlitic microstructures 珠光体组织疲劳断裂的相场耦合晶体塑性建模

IF 2.8 3区工程技术

International Journal of Fracture Pub Date : 2026-08-28 DOI: 10.1007/s10704-026-00937-8

Jiawei Li, Ni Ao, Yanan Hu, Xu Zhang, Qianhua Kan, Guozheng Kang

{"title":"Phase-field coupled crystal plasticity modeling of fatigue fracture in pearlitic microstructures","authors":"Jiawei Li, Ni Ao, Yanan Hu, Xu Zhang, Qianhua Kan, Guozheng Kang","doi":"10.1007/s10704-026-00937-8","DOIUrl":"10.1007/s10704-026-00937-8","url":null,"abstract":"<div><p>Pearlitic carbon steel, a primary material widely employed in railway engineering, frequently undergoes cyclic loading in service. Nevertheless, the intricate microstructure of pearlite complicates the understanding of its influence on fatigue crack initiation and propagation in such steels. To address this, the present study employs a modeling framework that integrates a fracture phase-field approach with a crystal plasticity model to examine the microstructure-sensitive fracture response of pearlite. Within this framework, the crystal plasticity model captures the deformation behavior of ferrite, whereas the deformation of cementite is represented by an isotropic plasticity formula. The fracture behavior of pearlite is analyzed by a fracture phase field model considering the influence of fatigue damage. Utilizing this coupled methodology, simulations are conducted to evaluate the effects of ferrite orientation, cementite lamellar angle, and interlamellar spacing on the fatigue fracture characteristics of pearlite. The findings indicate that ferrite orientation alters the distribution of cumulative plastic slip, thereby influencing both fatigue crack initiation and propagation. The lamellar angle markedly governs the accumulation rate of plastic slip, which in turn affects crack initiation. Variations in lamellar spacing are shown to significantly alter the fatigue crack propagation path in pearlite. This study advances the mechanistic understanding of fracture in pearlitic microstructures and provides insights for the design of pearlitic materials with enhanced fatigue resistance.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 4","pages":""},"PeriodicalIF":2.8,"publicationDate":"2026-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148838010","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}

引用次数: 0