International Journal of Fracture最新文献

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Investigation of hydrogen-accelerated fatigue crack growth in laser repaired GH4169 superalloy using BSL 3D DIC 激光修复GH4169合金氢加速疲劳裂纹扩展的BSL 3D DIC研究
IF 2.5 3区 工程技术
International Journal of Fracture Pub Date : 2026-04-16 DOI: 10.1007/s10704-026-00922-1
Wei He, Quan Zhang, Jiaqiang Li, Xing Sun, Bin Kuang, Bo Liu, Qihong Fang, Huimin Xie, Yanhuai Ding, Shijie Liu, Xin Li
{"title":"Investigation of hydrogen-accelerated fatigue crack growth in laser repaired GH4169 superalloy using BSL 3D DIC","authors":"Wei He,&nbsp;Quan Zhang,&nbsp;Jiaqiang Li,&nbsp;Xing Sun,&nbsp;Bin Kuang,&nbsp;Bo Liu,&nbsp;Qihong Fang,&nbsp;Huimin Xie,&nbsp;Yanhuai Ding,&nbsp;Shijie Liu,&nbsp;Xin Li","doi":"10.1007/s10704-026-00922-1","DOIUrl":"10.1007/s10704-026-00922-1","url":null,"abstract":"<div><p>Laser Repair (LR) via Directed Energy Deposition (DED) is a key additive manufacturing technology for high-value applications. However, LR introduces microstructural heterogeneity and interfaces that complicate fatigue assessment, especially in hydrogen-rich environments which exacerbate fatigue damage. This study employs the crack tip localization method and Crack Opening Rate (COR) parameter via BSL 3D DIC to investigate hydrogen-accelerated fatigue crack propagation in laser-repaired (LR) GH4169 superalloy. The fatigue lives and crack closure levels of pure substrate (PS), pure deposited (PD), and LR specimens were compared. Hydrogen charging significantly accelerated crack growth, reducing fatigue life by 23%, 9.6%, and 29.2% in PS, LR, and PD specimens, respectively. Electron Backscatter Diffraction (EBSD) analysis shows hydrogen charging induces distinct cracking behaviors: the LR specimen exhibits crack deflection from the repair zone into the substrate via the heat-affected zone, while the PD specimen shifts from transgranular to intergranular fracture, exhibiting brittle characteristics with minimal plasticity.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737360","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
Exact fundamental solutions for a Mode-I external circular crack in an infinite one-dimensional hexagonal piezoelectric quasicrystal 一维六边形压电准晶体i型外圆裂纹的精确基本解
IF 2.5 3区 工程技术
International Journal of Fracture Pub Date : 2026-04-06 DOI: 10.1007/s10704-026-00914-1
Jiaqi Zhang, Guozheng Kang, Xiangyu Li
{"title":"Exact fundamental solutions for a Mode-I external circular crack in an infinite one-dimensional hexagonal piezoelectric quasicrystal","authors":"Jiaqi Zhang,&nbsp;Guozheng Kang,&nbsp;Xiangyu Li","doi":"10.1007/s10704-026-00914-1","DOIUrl":"10.1007/s10704-026-00914-1","url":null,"abstract":"<div><p>The unconventional behavior of quasiperiodic structures has become a focal point in condensed matter physics. This paper is devoted to the study of the Mode-I external circular crack lying in a one-dimensional hexagonal piezoelectric quasicrystal. The original problem is transformed into a mixed boundary value problem, which is solved by the generalized potential theory method. The exact full-field fundamental solutions of the problem are obtained in terms of elementary functions. For both electrically impermeable and permeable boundary conditions, important parameters in fracture mechanics are obtained in response to generalized concentrated loads and annular uniformly distributed loads. From the generalized stress intensity factors, a phonon/phason-electric coupling parameter is proposed to quantify the multiphysical interactions. The influence of the phonon-phason-electric coupling effect on the generalized crack surface displacement is characterized. The present study provides a basis for fracture behaviors of piezoelectric quasicrystals.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147642743","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
An analytical evaluation of T-stress influence in the process zone modelling for the interface crack kinking 界面裂纹扭结过程区建模中t应力影响的分析评价
IF 2.5 3区 工程技术
International Journal of Fracture Pub Date : 2026-04-06 DOI: 10.1007/s10704-026-00916-z
A. A. Kaminsky, M. V. Dudyk, Y. O. Chornoivan
{"title":"An analytical evaluation of T-stress influence in the process zone modelling for the interface crack kinking","authors":"A. A. Kaminsky,&nbsp;M. V. Dudyk,&nbsp;Y. O. Chornoivan","doi":"10.1007/s10704-026-00916-z","DOIUrl":"10.1007/s10704-026-00916-z","url":null,"abstract":"<div><p>This study presents an analysis of the influence of <i>T</i>-stresses on the stress field near the tip of an interfacial crack under plane strain conditions, specifically examining the initial stage of crack kinking from the interface. The analysis focuses on the formation of a small-scale process zone within the less crack-resistant elastic material of a bimaterial joint. The process zone is modeled as a discontinuity line of normal displacement, where the normal stress is assumed to be equal to the failure stress of the respective material. <i>T</i>-stresses are incorporated into the model by including their contribution to the asymptotic stress field near the crack tip. This asymptotic field is subsequently used to formulate the condition at infinity for the corresponding boundary value problem within the theory of elasticity. The parameters of the process zone (its length and angle of inclination) are calculated by solving the boundary value problem using the Wiener-Hopf method. From the derived solution, an equation is obtained for calculating the length and angle of inclination of the process zone. This calculation is based on the criterion of maximum potential energy accumulated within the zone. Furthermore, the energy release rate and crack opening displacement are also determined, providing essential metrics for formulating crack initiation conditions based on energy or deformation criteria. A numerical analysis was conducted to investigate the dependence of the zone’s parameters on the applied load and to specifically study the effect of <i>T</i>-stresses on its orientation. Finally, a comparative analysis of the model’s predictions for the kinking angles was performed against values reported in existing theoretical and experimental literature.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147642685","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
Steady-state mode I crack propagation in a brittle solid 脆性固体中I型裂纹的稳态扩展
IF 2.5 3区 工程技术
International Journal of Fracture Pub Date : 2026-04-04 DOI: 10.1007/s10704-026-00919-w
Martin Kroon
{"title":"Steady-state mode I crack propagation in a brittle solid","authors":"Martin Kroon","doi":"10.1007/s10704-026-00919-w","DOIUrl":"10.1007/s10704-026-00919-w","url":null,"abstract":"<div><p>A steady-state, finite element analysis of brittle, dynamic crack propagation in PMMA is presented. The steady-state assumption means that all time derivatives are translated into a spatial derivative instead. The bulk PMMA is modelled as a linear elastic, isotropic material. The crack is modelled by use of a non-standard cohesive zone model that ensures that material stability is maintained. The cohesive zone contains two lengths, which allows for a regularisation of the crack problem. The boundary conditions were adjusted so that the results could be compared to experimental studies. The stress and strain fields at the crack tip resulting from the numerical analysis were shown, and the possible implications for damage evolution and crack branching were discussed. The study supports the idea that microcracks are initiated at some distance from the crack plane and then grow and join the main crack. The study suggests that the propagating crack goes from a ’simple crack’ to an unstable crack when the peak in the maximum principal strain – which appears at some distance from the crack plane – exceeds the dynamic fracture strain of the material.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-026-00919-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147642733","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
Analysis of thermoelastic crack problems in two-dimensional orthotropic materials by PDDO method 二维正交各向异性材料热弹性裂纹问题的PDDO分析
IF 2.5 3区 工程技术
International Journal of Fracture Pub Date : 2026-03-31 DOI: 10.1007/s10704-026-00917-y
Jun Lei, Yong Lu, Yanpeng Gong, Weihui Hu
{"title":"Analysis of thermoelastic crack problems in two-dimensional orthotropic materials by PDDO method","authors":"Jun Lei,&nbsp;Yong Lu,&nbsp;Yanpeng Gong,&nbsp;Weihui Hu","doi":"10.1007/s10704-026-00917-y","DOIUrl":"10.1007/s10704-026-00917-y","url":null,"abstract":"<div><p>As a novel meshless method, the Peridynamic Differential Operator (PDDO) method has distinct advantages in naturally handling discontinuous problems. In this study, it is further extended to investigate thermoelastic fracture problems in two-dimensional (2D) orthotropic materials. The stress intensity factors (SIFs) at crack tips are evaluated by using an interaction integral. A modified maximum circumferential stress criterion is applied to determine the crack propagation direction. Then, the meshless PDDO is employed to simulate crack propagation paths in some 2D structures with various geometric configurations under coupled thermo-mechanical loadings. The present results are compared with the existing numerical results to validate its effectiveness and high accuracy in computing the SIFs and simulating crack propagation paths.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147607402","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
The Virtual Element Method for dynamic crack analysis 动态裂纹分析的虚拟元法
IF 2.5 3区 工程技术
International Journal of Fracture Pub Date : 2026-03-29 DOI: 10.1007/s10704-026-00913-2
Philipp Wappler, Kevin Schmitz, Andreas Ricoeur
{"title":"The Virtual Element Method for dynamic crack analysis","authors":"Philipp Wappler,&nbsp;Kevin Schmitz,&nbsp;Andreas Ricoeur","doi":"10.1007/s10704-026-00913-2","DOIUrl":"10.1007/s10704-026-00913-2","url":null,"abstract":"<div><p>The Virtual Element Method (VEM) constitutes a generalization of the standard Finite Element Method (FEM), allowing for substantially more flexibility in the mesh design. This feature makes the method particularly suitable for problems with evolving discontinuities and singularities, and thus for crack problems. Dynamic crack analyses oftentimes incorporate impact loads, requiring sophisticated procedures of time integration, which are known from the FEM. Furthermore, the crack tip loading quantities are highly dependent on structural damping, while algorithmic damping is inevitable for numerical stability. Established approaches to quantify crack tip loading are basically applicable within the VEM framework, however, have to be adapted to characteristics like the absence of shape functions within elements. The Displacement Interpretation Method (DIM), the Modified Crack Closure Integral and the <i>J</i>-integral are elaborated in this context, restricting analyses to linear elastic fracture mechanics and stationary cracks. The accuracy of the approaches is verified comparing results of analytical and other numerical calculations. Numerical studies reveal the impact of physical parameters associated with structural damping and load rate, as well as of numerical factors such as approximation order, contour of the <i>J</i>-integral, extrapolation domain of the DIM and algorithmic damping. After all, the VEM appears to be a highly suitable numerical approach for dynamic fracture mechanics with a view to future crack growth simulations.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-026-00913-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147606967","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
Adaptive phase-field modeling of three-dimensional thermally-induced brittle fracture in COMSOL COMSOL三维热致脆性断裂自适应相场建模
IF 2.5 3区 工程技术
International Journal of Fracture Pub Date : 2026-03-28 DOI: 10.1007/s10704-026-00918-x
Jia-Nan He, Sundararajan Natarajan, Weihua Fang, Tiantang Yu
{"title":"Adaptive phase-field modeling of three-dimensional thermally-induced brittle fracture in COMSOL","authors":"Jia-Nan He,&nbsp;Sundararajan Natarajan,&nbsp;Weihua Fang,&nbsp;Tiantang Yu","doi":"10.1007/s10704-026-00918-x","DOIUrl":"10.1007/s10704-026-00918-x","url":null,"abstract":"<div><p>This work proposes an adaptive thermomechanical phase-field framework for simulating three-dimensional (3D) thermally-induced fracture in brittle materials. Adaptive mesh refinement is performed via the COMSOL application programming interface (API), using a user-defined phase-field threshold as the refinement indicator. COMSOL’s built-in adaptive meshing produces a locally refined mesh without hanging nodes. A staggered iteration scheme is adopted to ensure computational robustness of the fracture phase-field framework. To further improve computational efficiency in 3D fracture problems, the restarted generalized minimum residual (GMRES) method, combined with smoothed aggregation algebraic multigrid (SAAMG), is adopted as an iterative linear system solver. Through the analysis of three numerical examples, the accuracy and efficiency of the present framework can be validated. The open-source model enables users without programming experience to simulate fractures in a multiphysics environment.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561990","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
Effect of environmental conditions on fracture of composite materials and thin films 环境条件对复合材料和薄膜断裂的影响
IF 2.5 3区 工程技术
International Journal of Fracture Pub Date : 2026-03-17 DOI: 10.1007/s10704-026-00915-0
Victor Birman
{"title":"Effect of environmental conditions on fracture of composite materials and thin films","authors":"Victor Birman","doi":"10.1007/s10704-026-00915-0","DOIUrl":"10.1007/s10704-026-00915-0","url":null,"abstract":"<div><p>Environmental conditions, i.e., temperature and moisture, affect mechanical properties of materials, including composites. In this paper, we concentrate on one of the aspects of the effect of environment on fracture in a composite lamina. The paper demonstrates an analytical approach to account for the effect of the changes in environment on the strain energy release rate of composite materials and thin films. These analytically determined strain energy release rates should be compared to fracture toughness to predict the susceptibility of the material to fracture. Numerical examples are presented for several polymeric and metal matrix composites using available experimental data for compliances affected by the environment. While a general conclusion about the effect of the environment on the strain energy release rate of composites cannot be achieved, the materials considered in the examples demonstrated an increase of the strain energy release rate with an elevated temperature or moisture indicating their potential vulnerability to fracture. Additionally, the effect of temperature on the strain energy release rate of thin films delaminated from the substrate is analyzed. The condition of the increase of the strain energy release rate for mode I fracture in a one-dimensional straight-faced blister has been derived. This condition depends on the ratio of the buckling and residual stresses and temperature-dependent moduli of elasticity of the film.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-026-00915-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147559710","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
Microstructural mechanisms for enhancing energy dissipation and spall resistance in SiC 碳化硅中增强能量耗散和抗剥落的微观结构机制
IF 2.5 3区 工程技术
International Journal of Fracture Pub Date : 2026-03-07 DOI: 10.1007/s10704-026-00910-5
Tyler Ragan, Tengyuan Hao, Min Zhou
{"title":"Microstructural mechanisms for enhancing energy dissipation and spall resistance in SiC","authors":"Tyler Ragan,&nbsp;Tengyuan Hao,&nbsp;Min Zhou","doi":"10.1007/s10704-026-00910-5","DOIUrl":"10.1007/s10704-026-00910-5","url":null,"abstract":"<div><p>Key microstructural features such as grain size, grain shape, crystallographic orientations, and grain boundary properties strongly influence fracture resistance of ceramics. Well-designed microstructural features contribute to the materials’ ability to withstand dynamic loading and deformation by facilitating mechanisms that dissipate energy and prevent catastrophic failure. In this research, a microstructure-explicit and fracture process-explicit computational framework is employed to better understand how these microstructural features impact the dynamic fracture response of SiC during high-rate compression loading and spallation. Utilizing the cohesive finite element method (CFEM), the model incorporates anisotropic bulk constitutive and fracture behaviors of grains and misorientation angle-dependent grain boundary properties to resolve complex crack paths and fracture patterns. The model also captures the effects of intergranular and transgranular fracture, and friction between crack faces. A key observation is that grain size gradient can be utilized to balance and optimize both compressional energy dissipation and spall strength. Additionally, it was shown that the effect of crystallographic texture on spall strength is strongly dependent on both the volume fraction and orientation of preferentially aligned grains. Lastly, the study finds that the anisotropic fracture behavior of the grain boundary has a more pronounced effect on both spall strength and energy dissipation than the degree to which anisotropy changes as a function of misorientation angle. The findings provide insight into microstructural features that optimize energy dissipation and spall strength under specific loading conditions. Furthermore, the model framework can be extended to guide the microstructural design of other ceramics and ceramic composites.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147363028","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
Energy release rate governed stair cracking in brittle laminates and shale fracking 能量释放速率控制着脆性层合板和页岩压裂的阶梯开裂
IF 2.5 3区 工程技术
International Journal of Fracture Pub Date : 2026-02-28 DOI: 10.1007/s10704-026-00911-4
Xiaguang Zeng, Yujie Wei
{"title":"Energy release rate governed stair cracking in brittle laminates and shale fracking","authors":"Xiaguang Zeng,&nbsp;Yujie Wei","doi":"10.1007/s10704-026-00911-4","DOIUrl":"10.1007/s10704-026-00911-4","url":null,"abstract":"<div><p>Stair-like wavy cracking commonly arises in brittle laminated materials due to the interplay between heterogeneous mechanical properties of layered structures and external boundary conditions. Based on the energy release rate (ERR) criterion and the straight-crack equivalence assumption, we derive an explicit solution for the continual kinking conditions under which crack propagation in brittle laminates through repeated kinking (stair cracking) governed by three parameterized factors. The theoretical solution yields phase diagrams mapping three fracture modes determined by (1) the ratio between the critical fracture toughness when cracking along the interface (<span>({G}_{text{dc}})</span>) and that during traversing fracture (<span>({G}_{text{mc}})</span>), (2) the angle between the initial crack and interfaces, and (3) the stress ratios of boundary conditions. Such an efficient engineering approach, with ERR playing the central role, achieves high accuracy in predicting crack path patterns, as validated through finite-element simulations.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342675","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
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