International Journal of Fracture最新文献_第2页

Potential-based cohesive modeling of mixed-mode crack kinking 基于势的混合模式裂纹扭结内聚建模

IF 2.5 3区工程技术

International Journal of Fracture Pub Date : 2026-06-10 DOI: 10.1007/s10704-026-00930-1

Viacheslav Bogdanov, Danylo Selivanov

{"title":"Potential-based cohesive modeling of mixed-mode crack kinking","authors":"Viacheslav Bogdanov, Danylo Selivanov","doi":"10.1007/s10704-026-00930-1","DOIUrl":"10.1007/s10704-026-00930-1","url":null,"abstract":"<div><p>We present a compact finite-element framework for incipient mixed-mode crack kinking in plane strain, in which the physical crack is augmented by a short, zero-thickness cohesive continuation. A thin auxiliary channel is used only for mesh generation and is collapsed after T6 conversion, so that the analysis is carried out on the physical interface with coincident node pairs. The cohesive law is potential-based, differentiable, and characterized by finite normal and tangential cohesive strengths; the corresponding cohesive potential yields an energetically consistent formulation with a symmetric Hessian tangent and robust Newton convergence. The construction of the interface degrees of freedom, jump operator, line-integration operators, and consistent linearization is detailed explicitly. Two complementary selectors are considered for the kink direction: a global load-based criterion and a local energetic mouth criterion. Numerical studies show rapid convergence of the critical load, stable determination of the kink angle, and close agreement between bulk tractions and cohesive tractions reconstructed from the displacement jumps along almost the entire cohesive leg. The framework is examined deliberately in a near-LEFM regime. In this setting, the predicted kink direction remains close to the classical elastic benchmark, whereas the critical load exhibits a clearer sensitivity to the finite cohesive zone and to the traction–separation law. A calibrated sensitivity study of the auxiliary cohesive-leg length shows that, when the active cohesive zone is kept well contained within the trial segment, the directional prediction depends only weakly on this auxiliary choice. The method is therefore best suited to quasi-static mixed-mode crack kinking in a near-LEFM regime, where it provides a controlled finite-process-zone counterpart to classical elastic predictors.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236495","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

Straight or curved initiation cracks at a V-notch tip under mixed-mode loading? 混合模式载荷下v形缺口尖端的直裂纹还是弯裂纹？

IF 2.5 3区工程技术

International Journal of Fracture Pub Date : 2026-06-09 DOI: 10.1007/s10704-026-00926-x

Hugo Girard, Aurélien Doitrand

引用次数: 0

One-dimensional dynamic fragmentation with the cohesive Lipschitz (CLIP) approach 基于内聚Lipschitz （CLIP）方法的一维动态碎片化

IF 2.5 3区工程技术

International Journal of Fracture Pub Date : 2026-05-29 DOI: 10.1007/s10704-026-00928-9

Sachin Srinivasa, Benoît Lé, Nicolas Chevaugeon, Nicolas Moës

{"title":"One-dimensional dynamic fragmentation with the cohesive Lipschitz (CLIP) approach","authors":"Sachin Srinivasa, Benoît Lé, Nicolas Chevaugeon, Nicolas Moës","doi":"10.1007/s10704-026-00928-9","DOIUrl":"10.1007/s10704-026-00928-9","url":null,"abstract":"<div><p>Dynamic fragmentation of brittle materials involves complex crack nucleation, propagation, and interaction under high-rate loading. Traditional cohesive zone models (CZM) accurately capture discrete cracks, but suffer from mesh dependency and constrained crack paths, whereas continuous damage models offer mesh independence at the expense of sharp-crack representation. This paper presents the Cohesive Lipschitz (CLIP) model, which unifies interface-based cohesive damage with a Lipschitz-projected bulk damage field to enforce spatial regularization. Analytical equivalence with a linear CZM yields closed-form degradation and dissipation functions, and a regularization parameter governs energy redistribution between cohesive interfaces and diffuse zones. Quasi-static validation confirms exact reproduction of CZM behavior under tensile loading. An explicit dynamic finite-element implementation simulates one-dimensional fragmentation of alumina across a wide range of strain rates. The CLIP model successfully predicts the transition from sparse to fine fragmentation, producing fragment statistics in agreement with established theoretical and numerical studies, thereby demonstrating robust fracture predictions with computational efficiency and a clear physical interpretation.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-026-00928-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148173602","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

Impact of Poisson’s ratio and interfacial fracture toughness on glass matrix particulate composite fracture 泊松比和界面断裂韧性对玻璃基颗粒复合材料断裂的影响

IF 2.5 3区工程技术

International Journal of Fracture Pub Date : 2026-05-26 DOI: 10.1007/s10704-026-00929-8

Suyash Chougale, Yash Sharma, Shashank Giri, Hirshikesh Hirshikesh

{"title":"Impact of Poisson’s ratio and interfacial fracture toughness on glass matrix particulate composite fracture","authors":"Suyash Chougale, Yash Sharma, Shashank Giri, Hirshikesh Hirshikesh","doi":"10.1007/s10704-026-00929-8","DOIUrl":"10.1007/s10704-026-00929-8","url":null,"abstract":"<div><p>Glass matrix particulate composites, known for their high strength-to-weight ratio and superior optical and thermal stability, have emerged as promising materials for applications in missile protection systems, brake pads, and biomedical implants. However, their inherent brittleness and flaw sensitivity pose significant challenges for crack initiation and propagation. In this work, we investigate the fracture mechanisms of these composites using the phase-field model, in which the crack and material interfaces are approximated by two distinct phase-field variables: <i>c</i> and <span>(alpha )</span>. The material’s fracture toughness is expressed using the phase-field variable <span>(alpha )</span>, with distinct values assigned to the interface compared to the bulk. A series of numerical simulations is performed to investigate the roles of Poisson’s ratio and interfacial fracture toughness in the fracture of glass matrix particulate composite and the associated fracture mechanisms. We explore crack deflection and attraction by fiber, investigating these effects with different Young’s modulus and Poisson’s ratio mismatches and interfacial fracture toughness. The present analysis provides valuable insights into designing crack-propagation paths and improving the fracture toughness of the WG/a-SiO<span>(_2)</span> and WG/BZBa composites by tuning the interface fracture toughness.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148011882","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

Efficient SPH-PD FSI model for blast-induced crack initiation and propagation in rocks 岩石爆破裂纹萌生与扩展的高效SPH-PD FSI模型

IF 2.5 3区工程技术

International Journal of Fracture Pub Date : 2026-05-09 DOI: 10.1007/s10704-026-00927-w

Jin-lu Ba, Jun-xiang Wang, Xin-chen Liu, Gang Sun, Hai-yue Yu, Jie-ru Tian

{"title":"Efficient SPH-PD FSI model for blast-induced crack initiation and propagation in rocks","authors":"Jin-lu Ba, Jun-xiang Wang, Xin-chen Liu, Gang Sun, Hai-yue Yu, Jie-ru Tian","doi":"10.1007/s10704-026-00927-w","DOIUrl":"10.1007/s10704-026-00927-w","url":null,"abstract":"<div><p>In tunnel blasting engineering, drilling and blasting method remains a widely adopted and efficient technique for excavating hard rock masses. Precise control of blast-induced dynamic responses is crucial for both project safety and construction efficiency. Smoothed particle hydrodynamics (SPH) and peridynamics (PD) are widely used to simulate fluid-structure interactions (FSI). This study proposes an SPH-PD FSI model to investigate gas-rock interactions under blast loading. An index-acceleration algorithm is proposed to optimize computational efficiency during the preprocessing stage. The proposed model offers advantages in algorithmic simplicity, computational efficiency, and adaptability to significant particle spacing differences. The model was validated through representative cases. The displacement trend line (DTL) analysis and the quantitative relative displacement method were applied to elucidate the blast-induced crack initiation and propagation mechanisms. Numerical results reveal the influence of prefabricated crack angles on cracking patterns. This study offers theoretical insights into the damage evolution of rocks with prefabricated cracks under blast loading, advancing understanding of crack propagation mechanisms.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829832","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

Experimentally-based model for delayed hydride cracking (DHC): hydrogen diffusion, hydride nucleation, growth, dissolution and crack propagation 延迟氢化物开裂（DHC）的实验模型：氢扩散、氢化物成核、生长、溶解和裂纹扩展

IF 2.5 3区工程技术

International Journal of Fracture Pub Date : 2026-05-07 DOI: 10.1007/s10704-026-00920-3

Pierrick François, Tom Petit, Quentin Auzoux, David Le Boulch, Jacques Besson

{"title":"Experimentally-based model for delayed hydride cracking (DHC): hydrogen diffusion, hydride nucleation, growth, dissolution and crack propagation","authors":"Pierrick François, Tom Petit, Quentin Auzoux, David Le Boulch, Jacques Besson","doi":"10.1007/s10704-026-00920-3","DOIUrl":"10.1007/s10704-026-00920-3","url":null,"abstract":"<div><p>Delayed Hydride Cracking (DHC) is a hydrogen embrittlement phenomenon that may affect Zircaloy-4 fuel claddings. An experimental procedure was previously developed to measure the fracture toughness of this material using notched C-ring specimens with a precrack, for both in presence of DHC (<span>(K_{I_text {DHC}})</span>) and without (<span>(K_{I_text {C}})</span>) (François et al. 2024). Based on these experiments, and on additional experimental results on notched C-ring specimens without a precrack, a finite element model was developed to numerically reproduce the DHC phenomenon. This model couples the mechanical behavior of the material with the presence of hydrogen in solid solution and hydrides, considering the kinetics of hydrogen diffusion, and the nucleation, growth and dissolution of hydrides (HNGD model). A cohesive zone model was used for crack propagation. The numerical model successfully reproduces the experimental results and is consistent with the experimental values of <span>(K_{I_text {DHC}})</span>, crack propagation rate and incubation time at 150, and 200 <span>( ^{circ }hbox {C},)</span> for precracked specimens and 250 <span>( ^{circ }hbox {C},)</span> for both precracked and notched specimens. In addition, this study highlights the great influence of the swelling induced by the presence of hydrogen in solid solution and precipitated hydrides on the fracture of the material in case of DHC, and the importance to take it into account to model this phenomenon.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147830038","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

Fatigue life prediction of 4130 alloy based on Kriging method 基于Kriging法的4130合金疲劳寿命预测

IF 2.5 3区工程技术

International Journal of Fracture Pub Date : 2026-05-06 DOI: 10.1007/s10704-026-00921-2

Wang Weijin, Miao Xinlin, Tan Wei

{"title":"Fatigue life prediction of 4130 alloy based on Kriging method","authors":"Wang Weijin, Miao Xinlin, Tan Wei","doi":"10.1007/s10704-026-00921-2","DOIUrl":"10.1007/s10704-026-00921-2","url":null,"abstract":"<div><p>Microcracks are prevalent defects in mechanical structures, and their propagation behavior under cyclic loading dominates structural integrity and service life. Conventional numerical methods for three-dimensional fatigue crack growth analysis suffer from high computational complexity and poor convergence, limiting their engineering applicability. To address this challenge, this study proposes a Kriging-based surrogate model for high-efficiency prediction of microcrack propagation behavior, validated by the consistency between experimental fatigue data and finite element analysis (FEA) results. A five-dimensional feature space is constructed to map the nonlinear relationship among fatigue parameters, stress ratio, residual stress, load amplitude, and crack growth rate, enabling direct mathematical characterization of crack evolution. Numerical verification shows that the model achieves a prediction error of less than 5% compared with high-fidelity FEA results, while reducing the time cost of a single fatigue life assessment by three orders of magnitude. Meanwhile, the model circumvents the complex remeshing and convergence control procedures required by traditional FEA methods. This work provides a highly efficient and accurate tool for fatigue life evaluation of engineering structures, which is of great significance for improving the reliability of damage tolerance design.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829141","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

Intersonic crack propagation in fiber-reinforced composites with an improved peridynamic model 基于改进周动力模型的纤维增强复合材料声速裂纹扩展

IF 2.5 3区工程技术

International Journal of Fracture Pub Date : 2026-05-06 DOI: 10.1007/s10704-026-00908-z

Yenan Wang, Florin Bobaru

{"title":"Intersonic crack propagation in fiber-reinforced composites with an improved peridynamic model","authors":"Yenan Wang, Florin Bobaru","doi":"10.1007/s10704-026-00908-z","DOIUrl":"10.1007/s10704-026-00908-z","url":null,"abstract":"<div><p>We introduce an improved peridynamic (PD) model for dynamic fracture in fiber reinforced composites (FRCs). We verify it on elastodynamic and elastostatic problems and test it against the intersonic crack propagation experiment by Coker and Rosakis (2001). When a notched unidirectional FRC lamina is loaded by asymmetric impact, cracks can reach intersonic speeds of propagation. Using the PD model we explain the mechanism of crack initiation and propagation. We predict experimentally observed crack patterns, the crack propagation speed behavior, and the shockwaves generated by the propagating crack. When the PD horizon size is of a similar scale with the actual notch size used in the experiments, the match between computed and experimental results becomes quantitative. This is related to the crack nucleation process and is strength driven. The new PD composite model is calibrated with a homogenized classical model but maintains the sharp distinction between longitudinal and transverse bonds (jump discontinuity in their elastic stiffness), preserving this microstructure information (anisotropy) of the composite. We show that PD models for FRCs in which the micro-scale variation of PD bonds moduli mimics the continuous tension surface of homogenized composite cannot capture the observed failure behavior. Preservation of some essential features pertaining to failure initiation/behavior from the micro-scale, which the present PD model does, appears to be critical in predicting dynamic failure in FRCs using homogenized models.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829140","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

Variational phase-field modeling of fracture and fatigue in shape memory alloys: a one-dimensional study 形状记忆合金断裂和疲劳的变分相场模型：一维研究

IF 2.5 3区工程技术

International Journal of Fracture Pub Date : 2026-05-06 DOI: 10.1007/s10704-026-00925-y

Alma Brambilla, Laura De Lorenzis, Lorenza Petrini

{"title":"Variational phase-field modeling of fracture and fatigue in shape memory alloys: a one-dimensional study","authors":"Alma Brambilla, Laura De Lorenzis, Lorenza Petrini","doi":"10.1007/s10704-026-00925-y","DOIUrl":"10.1007/s10704-026-00925-y","url":null,"abstract":"<div><p>We propose a novel variational phase-field model for fracture and fatigue in pseudoelastic shape memory alloys (SMAs). The model, developed in a one-dimensional setting, builds upon the Auricchio–Petrini constitutive formulation for SMAs and couples damage evolution with phase transformation. We study analytically and numerically the homogeneous and localization responses of a bar under both monotonic and cyclic loading, and we investigate various macroscopic behaviors by tuning the constitutive parameters. A key feature of the model is the introduction of a transformation strain limit, beyond which the material is fully martensitic and behaves elastically. This leads to a distinctive behavior in which the region of localized damage widens, yielding a delay of fracture. The capability of the model to predict the fatigue performance is assessed by simulating the uniaxial response of Ni-Ti multi-wire samples under different loading conditions. The results show that the model discriminates between safe and critical loading scenarios, capturing the experimental trend of increased fatigue resistance with higher mean strain at a fixed strain amplitude. Ongoing efforts are aimed at further evaluating its reliability for quantitative fatigue life prediction.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829541","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 review on fracture of hydrogel coatings 水凝胶涂层断裂研究进展

IF 2.5 3区工程技术

International Journal of Fracture Pub Date : 2026-04-21 DOI: 10.1007/s10704-026-00923-0

Junjie Liu, Yuhong Li, Shaoxing Qu

{"title":"A review on fracture of hydrogel coatings","authors":"Junjie Liu, Yuhong Li, Shaoxing Qu","doi":"10.1007/s10704-026-00923-0","DOIUrl":"10.1007/s10704-026-00923-0","url":null,"abstract":"<div><p>Hydrogel coatings integrate the high water content and softness of hydrogels with engineered surface functionalities, enabling diverse applications in soft robotics, stretchable electronics, and biomedical devices. However, their high water content and softness, thin-film geometry, and substrate confinement make them susceptible to delamination, cracking, fatigue, and wear, which compromise long-term reliability. This review summarizes the current understanding of fracture in hydrogel coatings. We first overview the experimental methods commonly used to characterize adhesion toughness, adhesion fatigue threshold, and adhesion strength. We then discuss fracture phenomena that are particularly relevant to coating geometries, including thickness-dependent adhesion, swelling- or stimulus-induced debonding, sliding-induced wear, and fatigue fracture under cyclic loading. Finally, we review emerging toughening and fatigue-resistant strategies for robust hydrogel coatings, including double-network designs, hierarchical architectures, nanocrystalline domains, and phase-separated structures. We conclude by outlining key challenges and opportunities for translating laboratory concepts into durable hydrogel coatings for practical applications.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"250 2","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738336","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