{"title":"Fracture and notch mechanics to estimate the uniaxial fatigue limit of plain and severely notched L-PBF AlSi10Mg specimens","authors":"Francesco Collini, Giovanni Meneghetti","doi":"10.1016/j.engfracmech.2025.111368","DOIUrl":"10.1016/j.engfracmech.2025.111368","url":null,"abstract":"<div><div>This work discusses the applicability of the notch mechanics and linear elastic fracture mechanics to estimate the uniaxial fatigue limit of sharply notched Additively Manufactured (AMed) specimens. It is well known that the fatigue behaviour of AMed materials is influenced by defects inherent to the manufacturing process and the fatigue strength of materials weakened by defects depends on material properties, load ratio <em>R</em> and size of defects. While defect sensitivity on fatigue thresholds has been studied extensively in the literature for different AM materials, investigations on the effect of notches, and especially sharp notches, including notch-defect interaction and competition are still limited, leaving considerable scope for theoretical and experimental investigations. In this study, fatigue tests were conducted on plain and sharply notched specimens AMed from AlSi10Mg powders to investigate the competition between AM process-related defects and sharp notches. The investigation highlighted that AM defects are detrimental for plain specimens, while they do not impact the fatigue strength of sharp notches. A previously published model proved satisfactory to predict the fatigue limit of the plain and sharply notched specimens; the model requires two material properties, namely the plain material fatigue limit and the threshold range of the mode I stress intensity factor for long cracks.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"326 ","pages":"Article 111368"},"PeriodicalIF":4.7,"publicationDate":"2025-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144587849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An elasticity- and fracture mechanics-based model for composite timber I-joists with openings in the web","authors":"S. Karen Alavi, Hamid R. Valipour","doi":"10.1016/j.engfracmech.2025.111370","DOIUrl":"10.1016/j.engfracmech.2025.111370","url":null,"abstract":"<div><div>Timber I-joists with plywood or oriented strand board web and solid (or engineered) wood flanges combine a lightweight design with exceptional strength and stiffness. Nevertheless, the structural behaviour of the I-joists are significantly influenced by the presence, shape, size, and location of the openings in the web, which is the focus of this study. A prescribed shear distribution along the flange-web interface and a suitable Airy stress function are adopted to satisfy the boundary conditions on the edges of the web. An analytical model for the full stress field in the web is derived and validated by 2D finite element (FE) simulations. The difference in the magnitude of the maximum stresses obtained from the analytical and FE models is less than 10 % even for the large openings (up to 90 % of the web’s depth). Different failure criteria (in the framework of direct strength and fracture mechanics) are used in conjunction with the analytical stress field to predict the failure mode and the load-carrying capacity of the I-joists. The direct strength approach grossly underestimated the peak loads; however, the failure loads obtained from the fracture mechanics-based approach showed a good correlation with the test data available in the literature.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"326 ","pages":"Article 111370"},"PeriodicalIF":4.7,"publicationDate":"2025-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144534394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xin Gu , Yangguang Wu , Zixu Zhang , Hui Li , Yixiong Zhang , Lei Wang
{"title":"A bond-based peridynamic model and implicit solution for thermo-elastoplastic fracture analysis","authors":"Xin Gu , Yangguang Wu , Zixu Zhang , Hui Li , Yixiong Zhang , Lei Wang","doi":"10.1016/j.engfracmech.2025.111364","DOIUrl":"10.1016/j.engfracmech.2025.111364","url":null,"abstract":"<div><div>Well-developed thermo-elastoplastic continuum mechanics plays a significant role in various traditional and emerging industry fields; however, it encounters difficulties in addressing thermo-elastoplastic fractures, for which peridynamics has demonstrated significant advantages. Although peridynamics has been widely applied to multiphysics modeling, especially thermomechanical coupling problems, it still has deficiencies in thermo-elastoplastic fracture analysis. Particularly, in the bond-based peridynamics (BB PD), the plastic deformation is difficult to characterize, and the thermo-elastoplastic constitutive relationship has seldom been reported. Therefore, this study establishes a thermal-elastoplastic BB PD model and a corresponding implicit numerical solution. The following achievements have been obtained: Firstly, an incremental bond force density, an isotropic hardening yield function, an associated flow rule, and a bond breakage criterion are rigorously constructed at the bond level, establishing an equivalent mapping relationship with the classical continuum plasticity. Secondly, an implicit Newton-Raphson iteration method with the return-mapping algorithm is developed, enabling a stable and efficient solution of the nonlocal elastoplastic response. Thirdly, several benchmarks are well simulated, including the elastoplastic response of a one-dimensional rod, ductile fracture of a two-dimensional central pre-cracked plate, brittle and ductile cracking of a two-dimensional plate with multiple cracks, and thermo-elastoplastic deformation of a three-dimensional cylinder of a pressure vessel with pre-cracks. These simulations confirm that the bond-level constitutive modeling can seamlessly integrate plasticity accumulation and ductile fracture behavior of metallic materials. Moreover, the research results indicate that the proposed BB PD combines the completeness of the plasticity theory with the effectiveness of simultaneous multiple cracking, thereby offering a robust analysis tool for the coupled thermo-elastoplastic failure of significant structures under complex thermal–mechanical conditions.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"326 ","pages":"Article 111364"},"PeriodicalIF":4.7,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144522173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Determination of the effective crack resistance in porous materials using a fracture phase-field model","authors":"Alexander Schlüter, Ralf Müller","doi":"10.1016/j.engfracmech.2025.111348","DOIUrl":"10.1016/j.engfracmech.2025.111348","url":null,"abstract":"<div><div>This work investigates the simulation-based determination of the effective fracture resistance of porous materials. Following the approach of Hossain et al. (2014), we conduct numerical experiments to identify effective crack resistance as a material parameter. Displacement boundary conditions corresponding to a steadily propagating macroscopic crack are applied to a representative microstructure. At the microscale, crack growth is simulated without prior assumptions regarding crack paths, continuity of propagation, or other features. The maximum value of the macroscopically acting J-integral defines the driving force required to advance the crack by a macroscopic length increment without arrest, which we refer to as the effective crack resistance. To simulate crack evolution in the microstructure without predefined growth assumptions, we employ a phase-field model. Phase field models are particularly well suited for this purpose. Our findings indicate that crack re-nucleation is a toughness determining failure mechanism in porous materials. We investigate the influence of various parameters on the characteristic length at which cracks re-nucleate, revealing a strong correlation with the internal length scale of the phase-field model. Finally, we analyze the effective crack resistance in simplified porous materials, with a specific focus on the effects of pore shape and pore spacing. Our results highlight their significant influence on crack resistance, providing insights into the failure behavior of porous structures.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"326 ","pages":"Article 111348"},"PeriodicalIF":4.7,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144522171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yu-Cai Zhang , Ru-Sen Yan , Wenchun Jiang , Shan-Tung Tu , Xian-Cheng Zhang
{"title":"Creep-fatigue damage model considering transition strain rate of stress relaxation stage and its application on life prediction of Inconel625 diffusion bonded joint","authors":"Yu-Cai Zhang , Ru-Sen Yan , Wenchun Jiang , Shan-Tung Tu , Xian-Cheng Zhang","doi":"10.1016/j.engfracmech.2025.111369","DOIUrl":"10.1016/j.engfracmech.2025.111369","url":null,"abstract":"<div><div>In present paper, creep-fatigue fracture behavior of Inconel625 diffusion bonded joint is investigated. Subsequently, the creep-fatigue damage model based on strain energy exhaustion theory is modified by taking transition strain rate of stress relaxation stage into account. Finally, creep-fatigue life of the joint is predicted. The results indicate that the crack fracture mode is transgranular dominated, all creep-fatigue lives predicted by the modified model fall within an error margin of 1.5 times. The creep damage is comparable to the fatigue damage when holding time is less than 60 s. However, when holding time exceeds 120 s, the creep damage is significantly greater than the fatigue damage. The cycle by cycle concept provides more accurate life prediction compared to that predicted by constitutive model. When the strain range is within ± 0.3 % and the holding time does not exceed 60 s, the joint exhibits a lifespan of exceeding 1000 cycles. Conversely, all predicted lifetimes are less than 260 cycles when the strain range exceeds ± 0.3 % or the holding time surpasses 60 s. Therefore, further improvement of the creep-fatigue strength for Inconel 625 diffusion bonded joint is necessary.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"326 ","pages":"Article 111369"},"PeriodicalIF":4.7,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Weibing Cai , Ke Gao , Shugang Ai , Shuai Zhang , Yu Feng
{"title":"A 2D continuous-discontinuous heat transport model considering thermal cracking for the combined finite-discrete element method (FDEM) using node binding scheme","authors":"Weibing Cai , Ke Gao , Shugang Ai , Shuai Zhang , Yu Feng","doi":"10.1016/j.engfracmech.2025.111365","DOIUrl":"10.1016/j.engfracmech.2025.111365","url":null,"abstract":"<div><div>Within the framework of the combined finite-discrete element method (FDEM) employing cohesive elements, we propose a novel thermo-mechanical coupling model to simulate heat transport in fractured rock masses (i.e., heat conduction, heat transfer and heat exchange) and capture the initiation and propagation of thermal cracking. Instead of using a fictitious heat exchange coefficient for cohesive elements as those in previous work, in this model, we adopt a node binding scheme to ensure the continuity of heat conduction in the intact/continuous rock matrix domain prior to fracturing. The computational efficiency of heat conduction using the proposed approach is significantly improved ∼ 110 times (about 2560 triangle elements contained in a model), and the extra numerical parameter (i.e., the heat exchange coefficient of cohesive element) commonly used in the conventional FDEM is not required. To accommodate the finite strain theory implemented in FDEM for large deformations and rotations, we also employ the multiplicative decomposition of deformation gradient to calculate the thermal stress. We conduct a suite of numerical benchmarks to verify the effectiveness and robustness of the thermo-mechanical coupling model in terms of heat conduction, thermal cracking and heat transfer. As an application, a typical example is performed to uncover the underlying mechanism of thermal cracking induced by different temperatures and investigate the micro-fracturing of brittle crystalline rocks. The coupled thermo-mechanical coupling model may help enhance the applicability and accuracy of FDEM for deep energy exploitation.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"326 ","pages":"Article 111365"},"PeriodicalIF":4.7,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144522112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Development of an approximate point load weight function for internal circumferential surface cracks in hollow cylinders","authors":"Kuilin Yuan , Kun Dong , Qitian Fang","doi":"10.1016/j.engfracmech.2025.111366","DOIUrl":"10.1016/j.engfracmech.2025.111366","url":null,"abstract":"<div><div>Internal circumferential surface cracks pose a subtle yet severe threat to the structural integrity of pipes and risers. Accurate determination of stress intensity factors for various surface crack geometries is fundamental to reliable fatigue crack growth life prediction in hollow cylindrical components. In this study, a new approximate point load weight function was developed to calculate mode I stress intensity factors associated with internal circumferential surface cracks in hollow cylinders. The weight function coefficients were calibrated by using the stress intensity factor solutions obtained from parametric three-dimensional finite element models. The derived weight function accommodates a broad range of geometric parameters, including crack aspect ratio, relative crack depth and normalized wall thickness. The verification was conducted by comparing the stress intensity factors obtained from the developed weight function with those calculated using finite element models for both one-dimensional and two-dimensional stress distributions, showing good agreement. The results demonstrate that the derived approximate point load weight function provides reliable computation of stress intensity factors and potentially lays a foundation for fatigue crack growth life assessment for hollow cylinders containing internal circumferential flaws across various loading conditions.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"325 ","pages":"Article 111366"},"PeriodicalIF":4.7,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144502290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A geometric internal bond model for fracture of brittle materials","authors":"Yuqi Sun , Haitao Yu","doi":"10.1016/j.engfracmech.2025.111329","DOIUrl":"10.1016/j.engfracmech.2025.111329","url":null,"abstract":"<div><div>A Geometric Internal Bond Model is proposed, emphasizing its geometric attributes of discontinuous deformation of solid materials. This model is motivated by the inherent connection between nonlocal vector calculus and geometric decomposition of virtual internal bond for each material point in continuum. A nonlocal governing equation together with an exact nonlocal force boundary condition is derived from a nonlocal variational principle through nonlocal vector calculus. Based on nonlocal operators in nonlocal vector calculus, a nonlocal deformation gradient tensor is developed to describe the discontinuities that appear in the crack zone of materials. Two micro-modulus, corresponding to the radial and tangential deformations of virtual internal bonds, are proposed to keep consistency of the virtual bond energy in the proposed model and the strain energy in Classical Continuum Mechanics. It is shown that the proposed model is asymptotically compatible with the Classical Continuum Mechanics when the characteristic length of nonlocality approaches zero. Moreover, a geometric crack criterion is proposed that involves radial and tangential deformation of the virtual internal bond to capture the mixed mode fracture. We demonstrate the applicability of the proposed model for capturing the propagation of cracks in brittle materials by several numerical examples. The proposed model shows great potential for numerical simulations of fractures in brittle materials.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"325 ","pages":"Article 111329"},"PeriodicalIF":4.7,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144502289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hongguang Zhou , Xiaohui Yu , Changyu Sun , Congjie Kang
{"title":"Genetic algorithm-enhanced hybrid physics-informed neural networks for very high cycle fatigue life prediction","authors":"Hongguang Zhou , Xiaohui Yu , Changyu Sun , Congjie Kang","doi":"10.1016/j.engfracmech.2025.111359","DOIUrl":"10.1016/j.engfracmech.2025.111359","url":null,"abstract":"<div><div>This study proposes a genetic algorithm-enhanced hybrid physics-informed neural network (GA-HPINN) model for very high fatigue life (VHCF) prediction. First, the collected 37 experimental data points were expanded to 100 data points through data augmentation technique,and the augmented dataset was used as the training set. Subsequently, the HPINN model was constructed by incorporating the S-N curve physical model, the Mayer model, and the Z-parameter model as soft constraints into the loss function. Furthermore, the GA-HPINN model was developed by employing a genetic algorithm to optimize the weights assigned to the incorporated physical models. The prediction results demonstrate that the GA-HPINN model achieves an RMSE of 0.2553, exhibiting improved physical consistency and prediction accuracy in fatigue life estimation. It outperforms traditional machine learning methods (Random Forest and XGBoost), PINN models incorporating a single physical constraint, and the HPINN model without weight optimization. The proposed GA-HPINN model addresses the shortcomings of existing dependency methods and provides a more stable and effective solution for VHCF life prediction.</div></div>","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"325 ","pages":"Article 111359"},"PeriodicalIF":4.7,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144502291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jialin Hong , Jisong Xu , Ting Wang , Zedong Han , Zirui Chi , Pavel Talalay , Da Gong , Xiaopeng Fan
{"title":"Corrigendum to “Strength and deformation behavior of snow-sintered ice under coupled cyclic-monotonic loading” [Eng. Fract. Mech. 324 (2025) 111266]","authors":"Jialin Hong , Jisong Xu , Ting Wang , Zedong Han , Zirui Chi , Pavel Talalay , Da Gong , Xiaopeng Fan","doi":"10.1016/j.engfracmech.2025.111340","DOIUrl":"10.1016/j.engfracmech.2025.111340","url":null,"abstract":"","PeriodicalId":11576,"journal":{"name":"Engineering Fracture Mechanics","volume":"325 ","pages":"Article 111340"},"PeriodicalIF":4.7,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144588642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}