International Journal of Damage Mechanics最新文献

{"title":"Key effects and selections of model parameters in a strength-based phase field model and applications","authors":"Li Meng, Hsiao Wei Lee, Alireza Ashkpour, Mohammad Irfan Iqbal, Christopher M Sales, Yaghoob (Amir) Farnam, Mija H Hubler, Ahmad R Najafi","doi":"10.1177/10567895261444787","DOIUrl":"https://doi.org/10.1177/10567895261444787","url":null,"abstract":"Conventional phase field models are widely used to simulate brittle fracture, but cannot independently control fracture strength beyond uniaxial tension. To address this limitation, strength-based phase field formulations that incorporate prescribed strength surfaces have been proposed. However, most existing studies primarily emphasize the role of the strength surface in fracture initiation, while the resulting constitutive response and its dependence on model parameters remain insufficiently examined. In this work, a systematic investigation of the key model parameters (i.e. length scale, scaling factor, degradation function, and a newly introduced compression enhancement factor) is conducted through homogeneous solutions and parametric analyses. The results reveal that improper selection or inconsistent coupling of these parameters can lead to physically incorrect strength surfaces and constitutive laws. In particular, an inappropriate parameter combination may cause the predicted strength surface in the biaxial tension region to shrink toward the origin, implying an artificial reduction of admissible stress states. Moreover, when the compression enhancement factor is set to 1, the formulation degenerates to the revisited model used in publications, in which the compressive stress does not decrease after the peak stress, contradicting the typical softening response observed in brittle materials. By varying the compression enhancement factor, the strength surface can be tuned from a cone-like critical shape to an ellipsoid-like envelope, enabling flexible calibration to different material behaviors. The numerical results demonstrate that a combined examination of both the strength surface and the constitutive law is essential for ensuring physically admissible predictions of fracture initiation and propagation. The source code is available at <jats:ext-link xmlns:xlink=\"http://www.w3.org/1999/xlink\" ext-link-type=\"uri\" xlink:href=\"https://github.com/MCMB-Lab/StrengthBasedPhaseFieldModel\">https://github.com/MCMB-Lab/StrengthBasedPhaseFieldModel</jats:ext-link> .","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"151 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147751749","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":"Modeling of the instantaneous subsurface damage mechanism of vibration cutting GH4169 based on strain gradient","authors":"Yihang Fan, Hang Xue, Zhaopeng Hao, Gangwei Cui","doi":"10.1177/10567895261443798","DOIUrl":"https://doi.org/10.1177/10567895261443798","url":null,"abstract":"Nickel-based superalloy GH4169 is widely used in key aircraft engine components due to its excellent thermal strength, stability, and fatigue resistance. However, it is difficult to machine, and ultrasonic vibration cutting is often employed to improve its processability. Sub-surface damage induced during cutting can significantly compromise the fatigue life and reliability of the workpiece. Considering the scale-dependent deformation mechanisms and dislocation behavior in materials, this paper develops an instantaneous sub-surface damage depth prediction model for vibration cutting of nickel-based superalloys based on strain gradient theory. A strain gradient-enhanced constitutive equation for vibration cutting is established with cutting time <jats:italic toggle=\"yes\">t</jats:italic> as the independent variable. By analyzing real-time cutting force and cutting heat, the coupled effect on sub-surface damage within each vibration cycle is investigated. The von Mises yield criterion is applied, and MATLAB is used to predict instantaneous damage depth. The variation of damage depth with cutting time <jats:italic toggle=\"yes\">t</jats:italic> is studied, along with its underlying mechanisms. Results show that the maximum instantaneous damage depth occurs when the instantaneous cutting depth peaks. Experimental validation confirms good agreement between predicted and measured damage depths. The key contribution of this work is an instantaneous damage depth prediction model for elliptical vibration machining of GH4169, incorporating strain gradient theory. This model enables the determination of damage depth at different cutting instants, offering insight into damage evolution within each vibration cycle.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"4 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147751751","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 novel fatigue life prediction approach of a GH4169 superalloy-welded joint based on a physics-informed machine learning method","authors":"Zhicheng Liu, Sihui Yang, Songlin Peng, Bochuan Li","doi":"10.1177/10567895261440161","DOIUrl":"https://doi.org/10.1177/10567895261440161","url":null,"abstract":"Defects were usually inevitable during welding process, the equivalent size of the maximum initial welded defects that perpendicular to the loading direction was usually introduced as the initial crack, whereas, the influence of morphology feature of the defects could not be well considered, and the fatigue life prediction issue of welded joint was usually challengeable according to the dispersion of the morphology, size, location, and quantity of the welding defects. Therefore, a physics-informed machine learning approach was constructed in order to captured the action mechanism of morphology features of welding defects in this study, the introduction of the additional physics information not only extended the initial training datasets, but also enhanced the interpretability of the lifetime prediction results, influence of the morphology detail of the defects was well considered through a modified physics fatigue prediction model. The final fatigue life prediction results revealed that physics-informed long short-term memory network approach was the best one compared with physics-informed convolutional neural network and the physics-informed random forest method, which exhibited the highest coefficient of determination and the most robust generalization ability.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"4 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147739659","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":"Molecular dynamics simulation of deformation and failure in magnesium bicrystals containing preexisting voids","authors":"Tian Liang, Yongting Lan, Changrui Ke, Songtao Zhu, Mingyang Liang","doi":"10.1177/10567895261441286","DOIUrl":"https://doi.org/10.1177/10567895261441286","url":null,"abstract":"Magnesium and its alloys have broad application prospects due to their lightweight and high specific strength. However, their hexagonal close-packed crystal structure results in poor room-temperature ductility and low damage tolerance, which are critical bottlenecks limiting engineering applications. In actual magnesium crystals, initial defects such as micropores are commonly present. Yet the coupling effects between such defects and grain boundaries (GBs) on plastic deformation evolution and failure mechanisms at the atomic scale remain insufficiently understood. This study employs molecular dynamics simulations to construct magnesium bicrystal models with a preset void. The deformation and failure responses under uniaxial tension are systematically examined for five distinct GB angles, namely 14.52°, 34.54°, 53.14°, 71.74°, and 90° asymmetric boundary. The synergistic regulatory mechanisms of GB geometry and internal defects are revealed. The results demonstrate that the mechanical behavior is dominated by the GB angle. Low-angle symmetric tilt GB (14.52°) possess both high yield strength and favorable plastic stability, whereas high-angle and asymmetric GBs are prone to inducing stress concentration. Voids act as stress concentrators and interact differently with various GBs to regulate dislocation evolution, twin nucleation, and crack initiation. Particularly, the special GB angle of 53.14° can effectively retard crack propagation via twinning. This study elucidates the interaction mechanisms between GBs and preexisting defects at the atomic scale, revealing the dual role of voids as stress concentrators at the early deformation stage and damage nucleation sites during plastic deformation. The findings provide a theoretical foundation for GB engineering design and damage tolerance optimization of magnesium alloys.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"20 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147733632","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":"Cross-scale prediction of macroscale viscoelasticity and fatigue of asphalt mixtures from meso-scale material compositions","authors":"Li’an Shen, Juntao Wang, Xue Luo, Yuqing Zhang","doi":"10.1177/10567895261435789","DOIUrl":"https://doi.org/10.1177/10567895261435789","url":null,"abstract":"Cross-scale prediction enhances the efficiency and reliability of performance prediction by linking macroscale performance to meso-scale material compositions. However, existing cross-scale models calibrated under specific meso-scale conditions can only predict macroscale viscoelastic responses at the same conditions, limiting extensibility across materials and load conditions. The cross-scale prediction of macroscale viscoelastic fatigue based on meso-scale coefficients remains insufficiently explored. This study aims to address this transferability issue within the investigated domain and predict asphalt mixtures’ viscoelastic and fatigue performance at the macroscale from meso-scale material compositions. First, uniaxial compressive dynamic modulus tests were conducted on asphalt mortar to extract meso-scale viscoelastic parameters. Discrete element models of asphalt mixtures incorporating these parameters and realistic aggregate distributions reconstructed via digital image processing were established for two gradations (AC-16 and AC-25). The models accurately predicted macroscale dynamic moduli within the tested temperature–frequency range, with differences within 8% compared with experiments. Then, a discrete element fatigue model (DEFM) was developed by implementing a J-integral based Paris’ law to model particle-to-particle crack growth at the meso-scale. Using a single set of Paris’ law coefficients (A and n) calibrated at a specific loading condition, the model can predict fatigue life across various stress levels and loading regimes within the investigated domain. Results demonstrate that, for the studied mixtures, the Paris’ law coefficients A and n at the meso-scale are independent of stress level and frequency but depend on temperature and gradation: higher temperatures increase A and decrease n, while coarser gradation lowers A and raises n.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"66 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147708690","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":"Establishing rock stress–strain relationship through analysis of damage growth rate","authors":"Shaohong Li, Qiyuan Zhang, Ming Wei","doi":"10.1177/10567895261440713","DOIUrl":"https://doi.org/10.1177/10567895261440713","url":null,"abstract":"Establishing constitutive relationships that describe the deformation behaviour of rocks remains a central focus in rock mechanics. With the introduction of growth laws, adoption of distinct assumptions for the damage evolution rate under loading, and incorporation of a new parameter termed the maximum damage degree to represent the practical characteristic that the load-bearing capacity of rocks does not vanish completely with progressive deformation, three damage constitutive relations are derived, namely, linear, logarithmic and quadratic forms. The proposed models include two damage evolution parameters. These parameters can be determined analytically through closed-form expressions based on conventional mechanical properties, thereby ensuring the practicality and applicability of the models. Validation is performed using existing compression test data for granite and marble. Additionally, the effect of damage evolution parameters on the stress–strain response is examined. The results show that for identical strain conditions, the damage degree predicted by the quadratic damage constitutive relationship is greater than that obtained from the linear and logarithmic relationships in sequence. Error statistics show that the quadratic damage constitutive relationship exhibits the best performance, followed by the linear and logarithmic models. Furthermore, both the quadratic and linear relationships outperform the existing damage relationship employing the Weibull function. In the proposed models, the two damage evolution parameters respectively govern the size and shape of deformation curve. By incorporating the variation of conventional mechanical parameters with confining pressure, the proposed model can predict the deformation response of rocks under various confining pressures.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"65 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147684503","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":"Prediction of effective mechanical properties and development of damage model for inclusion composite materials","authors":"Karim Benyahi, Youcef Bouafia, Mohand Said Kachi, Salma Barboura","doi":"10.1177/10567895261440335","DOIUrl":"https://doi.org/10.1177/10567895261440335","url":null,"abstract":"The purpose of this study is to determine the mechanical characteristics for inclusion composite materials by several homogenization methods. Firstly, it involves modeling the (RVE) using the semi-analytical homogenization method, then formulating and implementing a periodic homogenization technique, where we proposed introducing additional degrees of freedom supporting the components of macroscopic deformations applying at composite “Concrete”. It is necessary to introduce behavior laws and damage models for composite materials. For this, we develop damage expressions based on material behavior models in order to analyze local fields and introduce failure criteria. Simulation by the semi-analytical Mori-Tanaka model gives good results for a two-phase material when the heterogeneity concentration is less than 30%. And as for modeling by the proposed periodic homogenization method, it gives us very satisfactory results regarding the prediction of the effective mechanical characteristics of composite materials. The percentage of inclusions as well as their shape have an influence on the latter. A parametric study was carried out to determine the influence of variations in the mechanical properties of mortar on those of effective “concrete” composite. The damage models developed allowed us to reproduce the softening behavior of the composite materials, which is progressively reduced as microcracks develop.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"133 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682113","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":"Unified analysis of phase-field models for cohesive fracture","authors":"Jian-Ying Wu","doi":"10.1177/10567895261429154","DOIUrl":"https://doi.org/10.1177/10567895261429154","url":null,"abstract":"We address in this work unified analysis of phase-field models for cohesive fracture in order to alleviate the difficulty in selecting proper models and for further improvement. Aiming to regularize the Barenblatt's cohesive zone model, all the discussed models are distinguished by three characteristic functions, that is, the geometric function dictating the crack profile, the degradation function for the constitutive relation and the dissipation function defining the crack driving force. The latter two functions coincide in the associated formulation, while in the non-associated one they are designed to be different. Distinct from the counterpart for brittle fracture, in the phase-field model for cohesive fracture the regularization length parameter has to be properly incorporated into the dissipation and/or degradation functions such that the failure strength and traction–separation softening curve are both well-defined. Moreover, the resulting crack bandwidth needs to be non-decreasing during failure in order that imposition of the crack irreversibility condition does not affect the anticipated traction–separation law (TSL). With a truncated degradation function that is proportional to the length parameter, the Conti-Focardi-Iurlano model and the latter improved versions can deal with crack nucleation only in the vanishing limit and capture cohesive fracture only with a particular TSL. Owing to a length scale dependent degradation function of rational fraction, these deficiencies are largely overcome in the phase-field cohesive zone model (PF-CZM). Among many variants in the literature, only with the optimal geometric function, can the associated PF-CZM apply to general non-concave softening laws and the non-associated PF-CZM to (almost) any arbitrary one. Some mis-interpretations are clarified and representative benchmarks are presented.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"38 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682114","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 extended isogeometric analysis approach via symplectic system for interface V-notched magneto-electro-elastic bimaterial","authors":"Wang Xu, Youhan Xu, Dongwang Zhong, Zhenhuan Zhou","doi":"10.1177/10567895261440756","DOIUrl":"https://doi.org/10.1177/10567895261440756","url":null,"abstract":"Magneto-electro-elastic (MEE) materials play a crucial role in intelligent structural devices, where their structural integrity under coupled mechanical, electrical, and magnetic loading is critical for operational safety, particularly in regions containing stress-concentrating V-shaped notches introduced during design or service. Extended isogeometric analysis (XIGA) is proposed to investigate the fracture behavior of MEE bi-material structures with interfacial V-shaped notches under anti-plane loading. The symplectic analytical solutions for the anti-plane problem of a MEE bi-material structure with interfacial V-notch are derived and incorporated as enrichment functions for the notch-tip control points. The geometric model and multi-physics field interpolations are constructed directly using non-uniform rational B-splines. Material domains and control point positions are judged via level set functions, while the notch surfaces and material interface are enriched using Heaviside functions and level set-based enrichment, respectively. The derived XIGA formulation is transformed into a novel system of linear equations through the application of series-form symplectic analysis solutions. This approach enables direct computation of the field intensity factors and energy release rate at the notch tip. Numerical examples validate the accuracy of the proposed method and further analyzed the influence of structural parameters on fracture behavior.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"22 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147682116","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 reformulation of nonlocal strain-driven continuum damage mechanics models using peridynamic differential operators","authors":"Noël Challamel, Gilles Pijaudier-Cabot","doi":"10.1177/10567895261440605","DOIUrl":"https://doi.org/10.1177/10567895261440605","url":null,"abstract":"This paper presents some analytical solutions for the static response of a nonlocal continuum damage mechanics (CDM) softening rod in tension. Two families of nonlocal CDM models valid for quasi-brittle materials are explored in this study: a ‘classical’ nonlocal strain-driven CDM model and a peridynamic CDM model. For both nonlocal CDM models, the elasto-damage constitutive law and the damage loading function can be affected through two independent scale-dependence kernels. It is chosen in this paper, to focus on the introduction of the nonlocality, for both CDM models, in the damage loading function. It is shown that the response of a strain-driven nonlocal damage rod may coincide with the one of a peridynamic nonlocal damage rod, for specific calibrated exponential kernels. Both nonlocal damage models, the strain-driven and the peridynamic damage models, governed by integral equations or integro-differential equations, are reformulated in a nonlocal differential framework. The propagation of the localization zone during the softening process is analytically investigated, by solving a moving damage boundary value problem. The size of the damage localization zone is shown to be loading-dependent. The strain profiles for both models are obtained and confirm the strain localization in the finite damage structural area of the homogeneous nonlocal rod in tension. The paper concludes by an analysis of the scale-dependence response of such nonlocal, strain-driven and peridynamic damage rods.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"18 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147635743","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}