International Journal of Fracture最新文献

{"title":"Influence of partial separation between rock specimen and loading device on determination of Mode II fracture toughness by shear-box test","authors":"Huai-Zhong Liu,&nbsp;Wan-Xi Liang,&nbsp;Hong-Qiang Xie,&nbsp;Li Zhuo,&nbsp;Ming-Li Xiao,&nbsp;Jiang-Da He","doi":"10.1007/s10704-025-00876-w","DOIUrl":"10.1007/s10704-025-00876-w","url":null,"abstract":"<div><p>Shear-box loading could partially separate rock specimen and loading device to keep moment balance, but the influence of the partial separation has not been considered in determining Mode II fracture toughness. In this study, the finite element method was employed to analyze the separation states between rock specimen and loading device in the shear-box tests with various loading angles, and the influences of the separation state on the stress intensity factors and Mode II fracture toughness were investigated by recalibrating the Mode I and Mode II dimensionless shape factors. The results indicate that the separated length increases as the initial crack length or the loading angle increases. If the separation state is not considered in the mechanical analysis, the average relative errors of the resulted Mode I and Mode II stress intensity factors are about 21.66% and 11.06%, and the relative errors of the Mode II fracture toughness determined by the Mohr–Coulomb fracture criterion are greater than 9.3%. Therefore, the influence of the separation state between rock specimen and loading device cannot be ignored in the fracture analysis of the shear-box test.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145145641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Formation mechanism of two different crack surfaces in a median crack formed by scribing wheel","authors":"Kumiko Murakami,&nbsp;Souta Matsusaka,&nbsp;Sho Itoh,&nbsp;Hirofumi Hidai,&nbsp;Mitsuru Kitaichi","doi":"10.1007/s10704-025-00871-1","DOIUrl":"10.1007/s10704-025-00871-1","url":null,"abstract":"<div><p>Two types of crack appearances may be observed in a median crack formed by scribing wheels. A cracked surface with a striped pattern and smooth cracked surface are formed, and a distinct crack-arrest line is formed at the boundary between them. This study explored the mechanisms that control changes in crack surfaces. The median crack caused by wheel scribing propagated within a symmetric stress field composed of axial and shear stresses. Numerical analysis revealed that the direction of the shear stress changed in regions that formed cracks with stripe patterns and smooth cracks. Depending on the combination of the crack propagation direction and symmetry shear stress direction, the crack propagated toward or deviated from the symmetry plane. These crack-propagation characteristics caused differences in the appearance of the crack surface. The existence of an area behind the scribing wheel where the crack temporarily stopped was predicted by estimating the crack behavior based on the stress intensity factors. This temporary crack stop was the cause of the distinct crack arrest lines. This study suggests that crack propagation behavior and surface appearance of cracks can be controlled by generating a symmetrical shear stress field in an appropriate direction.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00871-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145145117","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A semi-empirical model for fracture energy evaluation of a Ni2MnGa magnetic shape memory alloy","authors":"Glen J. D’Silva,&nbsp;Constantin Ciocanel","doi":"10.1007/s10704-025-00875-x","DOIUrl":"10.1007/s10704-025-00875-x","url":null,"abstract":"<div><p>Ni₂MnGa magnetic shape memory alloys (MSMAs) experience the shape memory effect due to magnetic field-induced or mechanical stress-induced microstructure reorientation. However, crack initiation and propagation, influenced by the evolving twin microstructure under coupled magneto-mechanical loading, can significantly hamper its function in applications. This study presents a semi-empirical approach to evaluate fracture toughness and fracture energy in Ni₂MnGa using Vickers microindentation. An improved analytical expression is proposed, extending the classical indentation-based fracture model to incorporate magneto-mechanical effects and microstructural evolution through a stress and field dependent exponential term. Experimental results confirm that the transverse magnetic field facilitates crack growth, decreasing the fracture energy, while axial compressive stress impedes crack growth, increasing the fracture energy of the alloy. The proposed empirical relationship provides configuration-specific fracture energy values for the alloy and contributes to identifying loading conditions least conducive to fracture initiation and growth in MSMAs.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Application of the coupled criterion to interface crack growth in the end-notched flexure test considering friction between the crack faces","authors":"María A. Herrera-Garrido,&nbsp;Vladislav Mantič,&nbsp;Dominique Leguillon","doi":"10.1007/s10704-025-00866-y","DOIUrl":"10.1007/s10704-025-00866-y","url":null,"abstract":"<div><p>A novel computational analysis is developed to model mode II fracture of a bimaterial specimen in an End Notched Flexure test considering frictional sliding contact between the crack faces. In the Comninou contact model of interface cracks, the frictional contact zone at the tip of an interface crack between dissimilar linear elastic materials entails a stress singularity, which is weaker than the square root singularity. This weak singularity results in a zero Energy Release Rate (ERR) <span>(G_{II}=0)</span> in such cracks. Therefore, the classical Griffith criterion cannot be used to predict crack growth in this case. To address this challenging issue, a new approach based on the Coupled Criterion (CC) introduced by Leguillon (Eur. J. Mech. A/Solids 21, 61-72, 2002), which adopts the Finite Fracture Mechanics (FFM) hypothesis proposed by Hashin (J. Mech. Phys. Solids, 44, 1129-1145, 1996), is developed. The CC is satisfied when both the stress and incremental energy criteria are satisfied simultaneously. A novel CC implementation is required to address the nonlinearity caused by the frictional contact between the interface crack faces, particularly the frictional dissipation of energy during the growth of such interface cracks. The methodology developed involves Finite Element Analysis (FEA) to compute shear stress and relative displacements along the crack path, the change of the potential energy and the energy dissipated by friction. Finally, the implemented CC provides the critical load and finite crack advance at the initiation of crack propagation. The numerical study presented considers various combinations of isotropic materials and friction coefficients.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00866-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"GPU-parallelized SPH solver for accurate hypervelocity impact simulation of shaped charge jet penetration in concrete structures","authors":"Jin Hyun Kim,&nbsp;Hee Sang Yoo,&nbsp;Young Beom Jo,&nbsp;Eung Soo Kim","doi":"10.1007/s10704-025-00868-w","DOIUrl":"10.1007/s10704-025-00868-w","url":null,"abstract":"<div><p>Accurately analyzing local failure areas, such as penetration or perforation in concrete structures under extreme conditions, such as those caused by shaped charge jet penetration, is of paramount importance for ensuring structural integrity and safety. This study addresses these challenging problems by developing a GPU-parallelized smoothed particle hydrodynamics solver, which incorporates advanced multiphase SPH models, complex constitutive models, and equations of state (EOS) for metal and concrete materials. Enhanced with variable smoothing lengths, this solver improves the accuracy of simulations. Numerical simulations of high-velocity impacts (HVI) on metal and concrete materials were conducted to validate the solver’s capability and precision. The simulations confirmed that shock waves propagate according to material properties, with stable pressure fields and logically coherent crack formations. Comparative analysis with experimental observations demonstrated improved accuracy, with relative errors for depth of penetration (DOP) and average borehole diameter under 5%. Furthermore, parametric tests examining variations in shaped charge geometry and concrete compressive strength showed reasonable variations in crater morphology. These results indicate that the developed SPH solver effectively addresses a wide range of shaped charge jet collision problems and presents a promising alternative to experimental methods for extreme conditions.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00868-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144085","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A long crack in a long clamped strip","authors":"Gregory J. Rodin","doi":"10.1007/s10704-025-00867-x","DOIUrl":"10.1007/s10704-025-00867-x","url":null,"abstract":"<div><p>The Mode I problem for a semi-infinite crack in an infinite clamped strip, introduced by James R. Rice, is ideal for demonstrating the power of energy methods. This configuration is also appealing to experimentalists, as it is characterized by the energy release rate that does not change as the crack grows. However, under plane strain conditions, the problem leads to an anomalous solution for the energy release rate for incompressible materials. This anomaly is explained and resolved by considering the problem for a long crack in a long strip. The new solution is valid for compressible, nearly incompressible, and incompressible materials.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144137","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Validating Griffith fracture propagation in the phase-field approach to fracture: The case of Mode III by means of the trousers test","authors":"F. Kamarei,&nbsp;E. Breedlove,&nbsp;O. Lopez-Pamies","doi":"10.1007/s10704-025-00869-9","DOIUrl":"10.1007/s10704-025-00869-9","url":null,"abstract":"<div><p>At present, there is an abundance of results showing that the phase-field approach to fracture in elastic brittle materials — when properly accounting for material strength — describes the <i>nucleation</i> of fracture from large pre-existing cracks in a manner that is consistent with the Griffith competition between bulk deformation energy and surface fracture energy. By contrast, results that demonstrate the ability of this approach to describe Griffith fracture <i>propagation</i> are scarce and primarily restricted to Mode I in the setting of infinitesimally small deformations. Aimed at addressing this lacuna, the main objective of this paper is to show that the phase-field approach to fracture describes Mode III fracture propagation in a manner that is indeed consistent with the Griffith energy competition. This is accomplished via direct comparisons between phase-field predictions for fracture propagation in the so–called <i>trousers</i> <i>test</i> and the corresponding results that emerge from the Griffith energy competition. The latter are generated from full-field finite-element solutions that — as a second main contribution of this paper — also serve to bring to light the hitherto unexplored limitations of the classical Rivlin-Thomas-Greensmith formulas that are routinely used to analyze the trousers test.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00869-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145144136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Test parameter sensitivity of the Lake-Yeoh cutting method for measurement of intrinsic strength of rubber","authors":"Nikolas Ryzí,&nbsp;Radek Stoček,&nbsp;Jakub Pawlas,&nbsp;William V. Mars,&nbsp;Thomas G. Ebbott","doi":"10.1007/s10704-025-00859-x","DOIUrl":"10.1007/s10704-025-00859-x","url":null,"abstract":"<div><p>The intrinsic strength of rubber, <i>T</i>_<i>0</i> is one of the key parameters when describing fracture behaviour of elastomer because it is at this specific value of energy that crack growth initiates within loaded rubber material. The Coesfeld Intrinsic Strength Analyzer (ISA) has been established as the most efficient equipment to directly analyse <i>T</i>_<i>0</i> for various rubber materials. However, to obtain the most reliable and reproducible results it is crucial to understand the influence of boundary conditions of the ISA measuring methodology. Therefore, in this study sets of boundary conditions were chosen to be analysed through mechanical response of reference EPDM material with known <i>T</i>_<i>0</i> value. For the purposes of this study the effects of individual boundary conditions were compared through directly measured value of intrinsic cutting energy, <i>S</i>_<i>0</i> which is proportional to <i>T</i>_<i>0</i>. Blade sharpness and geometry showed the greatest impact followed by repetition of blade and specimen milling direction whereas the relaxation time and number of measuring strains showed no significant influence. The results of this study show that the knowledge of blade micro-geometry is at its most importance during the <i>T</i>_<i>0</i> analyses. Moreover, the data clearly indicates possible future modification of boundary conditions to achieve a very efficient testing procedure with significantly reduced time required for the analyses.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00859-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145142539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Enhanced fracture toughness of additively manufactured Ti-6Al-4V ELI","authors":"Saurabh Kumar Gupta,&nbsp;Pranjal Singh,&nbsp;Kaushik Chatterjee,&nbsp;Satyam Suwas","doi":"10.1007/s10704-025-00863-1","DOIUrl":"10.1007/s10704-025-00863-1","url":null,"abstract":"<div><p>This study investigates the enhancement of fracture toughness in Ti-6Al-4V ELI, fabricated via laser powder bed fusion (LPBF), through a tailored cyclic heat treatment applied below the β-transus temperature to transform the martensitic microstructure into a bimodal configuration. Fracture toughness experiments were conducted using fatigue pre-cracked four-point bend specimens at room temperature, evaluating two orientations in additively manufactured (AM), heat-treated (HT) and wrought (WR) conditions. The findings reveal that stress-relieved AM samples demonstrated good ductility without compromising strength in uniaxial tension tests. However, they exhibited poor fracture toughness and pronounced anisotropy in crack initiation along directions parallel and perpendicular to the build orientation. This behavior is attributed to the <span>(text{Widmanst}ddot{text{a}}text{tten})</span> microstructure and residual prior <span>(upbeta )</span> grain boundaries. The cyclic heat treatment significantly enhanced fracture toughness in both orientations. This improvement is attributed to the larger colony size and higher initial strain hardening rate observed in the HT condition, achieving fracture toughness values comparable to wrought Ti-6Al-4V ELI. Fractographic analysis identified void-sheeting as the primary deformation mechanism governing crack propagation across all conditions. EBSD analysis further revealed that hard crystallographic orientations hindered crack initiation and propagation in HT samples. Additionally, ET1 twinning activity near the crack tip played a critical role in improving fracture toughness by blunting the crack tip and limiting its progression. This study offers valuable insights into the microstructural determinants of fracture toughness in additively manufactured Ti-6Al-4V ELI and underscores the potential of strategic heat treatments to achieve mechanical properties comparable to those of wrought materials.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145145026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Revisiting Dynamic Fracture in PMMA: The Interplay Between Local and Global Methods","authors":"Vincent Fournier,&nbsp;Jérémie Girardot,&nbsp;Jean-Benoit Kopp","doi":"10.1007/s10704-025-00865-z","DOIUrl":"10.1007/s10704-025-00865-z","url":null,"abstract":"<div><p>Polymethyl methacrylate (PMMA) is a benchmark brittle material for dynamic crack propagation studies. Despite extensive research, significant inconsistencies persist in reported fracture parameter values, complicating the establishment of a consensus on their sensitivity to the cracking regime. This study aims to rigorously determine these properties while identifying the origins of these discrepancies. To minimize microbranching effects that can strongly influence fracture surface roughness, crack propagation was restricted to subcritical velocities using a strip-band-specimen (SBS) geometry and a dedicated experimental setup. This approach ensured a quasi-steady propagation regime with minimal inertial effects. Dynamic toughness was evaluated using resistance curves constructed from Williams series expansion and displacement fields obtained via digital image correlation (DIC). Fracture energy was assessed through two complementary methods: a global energy balance and an indirect analytical approach based on Irwin’s generalized relation. Two distinct propagation regimes were identified: a stable regime (90 – 180 <span>(hbox {m}.hbox {s}^{-1})</span>) with smooth fracture surfaces and an unstable regime (180 – 320 <span>(hbox {m}.hbox {s}^{-1})</span>) characterized by the emergence of conical microstructures, followed by a transition to fully disrupted propagation beyond 320 <span>(hbox {m}.hbox {s}^{-1})</span>, marking the onset of microbranches. A key outcome of this study is the validation of global fracture energy estimation through the local approach, and <i>vice versa</i>, allowing the derivation of one fracture property from the other – an unprecedented achievement for PMMA in dynamic crack propagation. This was made possible by the experimental setup and specimen geometry, which effectively minimized parasitic effects such as inertia and microbranching. Additionally, the findings confirm a strong correlation between surface roughness and the evolution of fracture energy from the earliest stages of dynamic propagation.</p></div>","PeriodicalId":590,"journal":{"name":"International Journal of Fracture","volume":"249 3","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10704-025-00865-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145145035","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}