International Journal of Damage Mechanics最新文献

{"title":"Fatigue life prediction for titanium alloy under multiaxial very high and low cycle combined thermo-mechanical loading","authors":"Zheng-Yu Mao, De-Guang Shang, Chao-Lin Chen, Dao-Hang Li, Zhao-Yun Han, Jian Xiao","doi":"10.1177/10567895261432760","DOIUrl":"https://doi.org/10.1177/10567895261432760","url":null,"abstract":"The investigation found that von Mises equivalent stress used to calculate multiaxial fatigue damage cannot reflect the contribution of shear stress to damage in the very high cycle regime, as well as the influence of shear-to-axial ratio on the damage behavior of titanium alloy is revealed under multiaxial very high cycle loading. Based on the damage mechanism, a method was proposed to equivalently convert multiaxial stresses into uniaxial form in the very high cycle regime, and the experimental verification results under different shear-to-axial ratios showed that almost all of the fatigue life prediction errors are within a factor of 2.5. Moreover, the coupled effects of multiaxial low-cycle fatigue loading, multiaxial very high-cycle fatigue loading, and temperature loading will transform the crack propagation mode into one that is co-dominated by fatigue and creep. According to the damage mechanism, an interactive damage model was proposed, and a brand-new life prediction method was developed by combining the proposed equivalent method, the multiaxial fatigue damage model and creep damage model. The experimental verification results under multiaxial very high and low cycle combined thermo-mechanical fatigue loading show that all prediction errors are within a factor of 2.5.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"23 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147507859","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":"Study on low-frequency disturbance damage mechanism of sandstone based on AE wave velocity change","authors":"Xiaoze Wen, Guorui Feng, Jun Guo, Ruipeng Qian, Jie Zhang, Zhen Li, Kenan Liu, Wenming Feng, Daniel Dias, Wenbo Huang","doi":"10.1177/10567895261427803","DOIUrl":"https://doi.org/10.1177/10567895261427803","url":null,"abstract":"Accurate evaluation of surrounding rock bearing capacity deterioration is essential to ensuring the operational safety of closed or abandoned mines converted into underground pumped-storage hydropower (UPSH) stations. In this study, uniaxial compression tests were conducted on sandstone subjected to various static prestress levels under low-frequency disturbance. Coupled with acoustic emission wave velocity and microcrack evolution analysis, the degradation mechanism of sandstone strength under disturbance conditions was systematically explored. The results indicate that with the increase of static prestress levels, the wave velocity along the loading direction increases logarithmically, whereas the velocity perpendicular to the loading direction exhibits a nonmonotonic trend—first increasing and then decreasing. The change of wave velocity in the vertical loading direction shows greater sensitivity to damage induced by static prestress. After low-frequency disturbance, the sandstone strength degradation rate (SDR) initially decreases and then increases as static prestress increases, which correspond closely to the trend in the absolute value of wave velocity change rate along the loading direction. The smallest SDR of sandstone occurs at a static prestress level of 48.98% of the uniaxial compressive strength (UCS), while the minimum rate of change in wave velocity along the loading direction is observed at a static prestress level of 42.20% UCS. Furthermore, an empirical relationship between the SDR caused by disturbance and the wave velocity change rate along the disturbance loading direction was obtained. These findings provide a theoretical basis for the application of real-time seismic source wave velocity field inversion imaging techniques to quantify disturbance-induced damage in the surrounding rock of underground engineering such as UPSH stations.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"7 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147470925","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 true three-dimensional creep responses of hard rocks considering the time-dependent damage: A constitutive relationship study","authors":"Susheng Wang, Changdong Ding, Qiang Zhang, Jiuchang Zhang, Wanqing Shen","doi":"10.1177/10567895261432394","DOIUrl":"https://doi.org/10.1177/10567895261432394","url":null,"abstract":"In underground rock engineering, the three-dimensional (3D) stress state governs the time-dependent behavior of surrounding rocks, thereby directly affecting the long-term safety and stability of engineering structures. This study presents a novel true triaxial time-dependent constitutive model that characterizes nonlinear creep behavior governed by coupling of viscoplastic deformation and time-dependent damage. The model advances the 3D Hoek-Brown yield function by incorporating the azimuthal orientation of cracks. The coupled model is implemented using a numerical procedure that features an explicit nonlinear integration algorithm for updating the time-dependent damage factor. The model's effectiveness is validated by its accurate prediction of true triaxial creep test results for Jinping marble. The comprehensive constitutive model advances continuum damage mechanics, providing a scientific basis for analyzing and evaluating the long-term safety and stability of deep hard rock engineering.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"31 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147465579","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":"Fracture damage evolution of 7075 ultra-high strength aluminum alloy under uniaxial tension with complex loading paths","authors":"Gui Li, Xuebin Fang, Ziqi Zhang, Shiyuan Luo","doi":"10.1177/10567895261427790","DOIUrl":"https://doi.org/10.1177/10567895261427790","url":null,"abstract":"7075 ultra-high strength aluminum alloy is widely applied in aerospace and automotive fields, but its nonlinear complex loading paths during forming intricate damage and fracture mechanisms. A critical gap exists in prior research: the alloy's path-dependent mechanical behavior and damage evolution under multiaxial loading are insufficiently characterized, limiting damage prediction accuracy and forming process optimization. This study addresses this gap by investigating the effects of deformation magnitude and strain rate on the mechanical properties and damage evolution of 7075 aluminum alloy sheets under stamping-tension complex strain paths. The fundamental advancement is the establishment of a high-precision path-dependent damage prediction framework based on the GTN model, which overcomes the limitation that traditional GTN-based applications fail to account for complex strain path effects. To develop this framework, a novel multiaxial loading device was designed for programmable strain paths; response surface experiments combined with finite element inverse calibration were used to optimize GTN parameters, and ABAQUS simulations were validated with experimental data. Results indicate that deformation magnitude dominates damage evolution by enhancing yield strength via cumulative work hardening and delaying damage progression, while strain rate only modulates mechanical strength without altering plastic damage modes. The proposed GTN-based framework effectively captures path-dependent damage progression under complex loading with accuracy over 92%, clarifying the regulatory mechanism of strain path dependence on mechanical degradation and fracture behavior. This work provides a robust theoretical and experimental basis for ultra-high strength alloy damage prediction, enabling precise optimization of practical forming and improved component reliability.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"308 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147461982","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":"Damage constitutive model and Brittle–Ductile index of cemented ultra-fine tailing backfill with different binders considering initial damage and strain damage effect","authors":"Aiping Cheng, Haonan Wu, Shibing Huang, Seth Silupumbwe, Sihang Xie, Zuyang Ye","doi":"10.1177/10567895261427807","DOIUrl":"https://doi.org/10.1177/10567895261427807","url":null,"abstract":"With the increasing application of cemented ultrafine tailing filling method, the research on mechanical properties of cemented ultra-fine tailings backfill (CUTB) is becoming increasingly significant. The constitutive model and brittle–ductile index evaluation of CUTB as important components of mechanical properties have a significant impact on the safety and stability of backfill mining area. In this article, two indicators of the initial damage coefficient caused by different binders and the strain damage coefficient caused by different curing ages were proposed to construct the damage constitutive model considering initial damage and strain damage effect. Combined with the proposed damage constitutive model of CUTB and existed brittle–ductile index of rock, an improved brittle–ductile index of CUTB was presented. Finally, the proposed damage constitutive model and improved brittle–ductile index of CUTB was verified and discussed. The results show that (1) the different binders have a significant initial damage effect on CUTB. The initial damage of OPC-CUTB was increased with the increase in curing age, while the initial damage of WSB-CUTB was declined with the increase in curing age. (2) The different binders have a significant strain damage effect on CUTB. The strain damage of WSB-CUTB was increased with the increase in curing age, while the strain damage of OPC-CUTB was decreased with the increase in curing age. (3) The improved brittle–ductile index can well reflect the initial damage and strain damage effect of CUTB with different binders. The WSB-CUTB is more brittle than OPC-CUTB. (4) The proposed damage constitutive model and improved brittle–ductile index can fully characterize the mechanical properties of CUTB with different binders. The research results provided important theoretical guidance and had an essential engineering significance for mine safety mining.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"33 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147454705","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":"Fracture evolution mechanism of tunnel surrounding rock induced by 3D stress and structural combination","authors":"Haohan Xiao, Zhi Zheng, Ronghua Li, Qiang Zhang, Xiaohua Huang","doi":"10.1177/10567895261428858","DOIUrl":"https://doi.org/10.1177/10567895261428858","url":null,"abstract":"Excavation of deep-buried tunnels can result in the degradation of mechanical properties and damage fracture of the surrounding rock. By prefinancing true triaxial tests at different stress levels, the mechanical characteristics and the evolution of cohesion <jats:italic toggle=\"yes\">c</jats:italic> and friction angle <jats:italic toggle=\"yes\">φ</jats:italic> during the rock failure were analyzed. The research results indicate: as <jats:italic toggle=\"yes\">σ</jats:italic> <jats:sub>2</jats:sub> or <jats:italic toggle=\"yes\">σ</jats:italic> <jats:sub>3</jats:sub> increases, the peak strength of rocks rises gradually; the peak and residual strain gradually decrease as <jats:italic toggle=\"yes\">σ</jats:italic> <jats:sub>2</jats:sub> increases or <jats:italic toggle=\"yes\">σ</jats:italic> <jats:sub>3</jats:sub> decrease. During the rock fracture process, <jats:italic toggle=\"yes\">c</jats:italic> and <jats:italic toggle=\"yes\">φ</jats:italic> exhibit an initial rise followed by a decline. Furthermore, this study established a mechanical model reflecting rock behavior under true three-dimensional stress and developed its numerical implementation. The model's accuracy and reliability were validated by comparisons between experimental results and numerical simulation results. Using the proposed mechanical model, the influence of the arrangement between deep tunnel orientation and in-situ stress direction on the damage evolution mechanism of rock mass was further investigated. The failure degree and energy release in the rock mass during tunnel excavation first gradually decreases and then increases as the in-situ stress rotation angle increases. These research results can provide crucial theoretical foundations for the routing and excavation design of deep-buried tunnels.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"10 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147454703","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":"Study on creep properties and a viscoelastic–plastic constitutive model of slate considering freeze–thaw damage and joint effect","authors":"Haoyang Zhang, Annan Jiang, Fu Zheng, Xiurong Yang","doi":"10.1177/10567895261427759","DOIUrl":"https://doi.org/10.1177/10567895261427759","url":null,"abstract":"The long-term stability of jointed rock slopes subjected to freeze–thaw (F–T) cycling is a key scientific issue in landslide risk assessment in cold regions, yet the influence of F–T cycling on creep behavior and associated damage mechanisms in jointed rock masses remains unclear. To address this, slate specimens with varying joint angles were collected from landslide deposits in Wet-Freeze Zone II of China. A series of creep tests under F–T cycling was performed to investigate the effects of F–T cycles and joint angle on the creep properties of slate. Based on the experimental observations, a novel anisotropic creep model accounting for F–T damage and joint effect was developed. Model validation against creep test data confirms its ability to reproduce the entire creep deformation process and to capture the influence of joint angle and F–T cycling on creep behavior. The proposed model was further integrated with strength reduction method and applied to evaluate the long-term stability of slopes. The results indicate that the potential landslide direction is directly related to the joint angle, and with increasing F–T cycles, the factor of safety decreases while the plastic zone progressively develop upward along the pre-existing joint planes, extending further with creep duration. These findings enhance understanding of the instability mechanisms for geotechnical slope in cold regions.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"7 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147393256","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":"Electromechanical interaction of a two-phase eccentric piezoelectric circular fiber having electromechanical interface damage with a straight piezoelectric screw dislocation","authors":"Mohammad Taher Kamali, Hossein M Shodja","doi":"10.1177/10567895261418338","DOIUrl":"https://doi.org/10.1177/10567895261418338","url":null,"abstract":"In the design of certain electromechanical systems, the study of the interaction of piezoelectric line defects with imperfect electromechanical interfaces and piezoelectric inhomogeneities is of interest. This work, firstly considers an infinitely extended piezoelectric matrix containing a straight piezoelectric screw dislocation near an embedded two-phase piezoelectric inhomogeneity made of a core circular piezoelectric fiber eccentrically covered by a piezoelectric coating. Secondly, by applying a simple limiting procedure to the above-mentioned configuration the new configuration of a piezoelectric screw dislocation and a single piezoelectric fiber located on opposite sides of the straight wall between two piezoelectric half-spaces is modeled. In both the first and the second problems, in general, each phase may have an electromechanically imperfect interface with its adjacent phase. The degrees of mechanical and electrical interface damage are modeled analytically by the concepts of the interface spring stiffness and the interface capacitors, respectively. These problems are treated analytically by the utilization of the complex vector potential functions, conformal mapping, and Laurent’s series expansion. The effects of the degrees of the electromechanical damage at the interfaces, the amount of the nonuniformity of the fiber coating layer in the case of the first configuration, the distance between the fiber and the straight wall in the second configuration, and the electromechanical properties of the phases on the electromechanical image force and the stable and unstable equilibrium positions of the dislocation are examined. In some limiting cases, the current analytical solution is verified with the existing results in the literature.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"22 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147292452","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-validation of vessel hull mid-section slamming damage assessment by novel log-integral reliability scheme","authors":"Zhihao Zhang, Oleg Gaidai, Jiayao Sun, Changjun Gu","doi":"10.1177/10567895261423606","DOIUrl":"https://doi.org/10.1177/10567895261423606","url":null,"abstract":"The presented case study benchmarks a novel design approach for evaluating the survival function of multidimensional dynamic systems subjected to stochastic, nonstationary environmental loading, with particular focus on naval architecture. The proposed design methodology combines a novel log-integral concept of the Integrated Cumulative Distribution Function (ICDF) for accurate modeling of failure probabilities with the Smoothed Particle Hydrodynamics (SPH) Computational Fluid Dynamics (CFD) method to simulate slamming forces on the vessel hull mid-section. The proposed design approach offers a robust tool for reliability and safety assessment of vessels and offshore structures, particularly in complex, nonlinear, adverse marine environments. A traditional four-parameter Weibull parametric fit is used to cross-validate the predicted design values. The combination of ICDF and SPH simulations may provide naval architects with a robust framework for enhancing the reliability analysis of marine structures under dynamic, rapidly changing loading conditions. The major novelty of this study lies in combining an SPH-based CFD approach with a successfully benchmarked novel probabilistic integral ICDF extrapolation scheme, which is particularly suitable for design when the underlying dataset is representative but limited in size. System performance or limit-state function depends on multiple random variables (e.g. load, resistance, and environmental factors). This method enables efficient estimation of extreme impact loads, thereby providing practical support for reliability-based design and operational safety assessment of high-speed craft undergoing underwater/above-water entry and exit processes under nonstationary sea conditions. Engineering relevance: assessing the reliability of high-reliability structures where failure probabilities &lt;jats:inline-formula&gt; &lt;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" overflow=\"scroll\"&gt; &lt;mml:msub&gt; &lt;mml:mi&gt;P&lt;/mml:mi&gt; &lt;mml:mrow&gt; &lt;mml:mrow&gt; &lt;mml:mi mathvariant=\"normal\"&gt;Failure&lt;/mml:mi&gt; &lt;/mml:mrow&gt; &lt;/mml:mrow&gt; &lt;/mml:msub&gt; &lt;mml:mspace width=\"0.25em\"/&gt; &lt;/mml:math&gt; &lt;/jats:inline-formula&gt; are low (e.g. &lt;jats:inline-formula&gt; &lt;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" overflow=\"scroll\"&gt; &lt;mml:mo&gt;≤&lt;/mml:mo&gt; &lt;mml:msup&gt; &lt;mml:mn&gt;10&lt;/mml:mn&gt; &lt;mml:mrow&gt; &lt;mml:mo&gt;−&lt;/mml:mo&gt; &lt;mml:mn&gt;6&lt;/mml:mn&gt; &lt;/mml:mrow&gt; &lt;/mml:msup&gt; &lt;/mml:math&gt; &lt;/jats:inline-formula&gt; ). Fundamental design concepts, such as the Most Probable Maximum (MPM) for non-Gaussian processes with clustering effects, are expressed in terms of a memory-modified mean up-crossing rate in a practical engineering context. The presented ICDF design scheme is shown to provide enhanced accuracy to the design values and &lt;jats:inline-formula&gt; &lt;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" overflow=\"scroll\"&gt; &lt;mml:msub&gt; &lt;mml:mi&gt;P&lt;/mml:mi&gt; &lt;mml:mrow&gt; &lt;mml:mrow&gt; &lt;mml:mi mathvariant=\"normal\"&gt;Failure&lt;/mml:mi&gt; &lt;/m","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"47 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147292454","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 elastoplastic stochastic damage constitutive model for concrete under multidimensional loading","authors":"Yachuang Kuang, Kui Wang, Yadong Guo, Liping Wang, Fuzheng Ding, Weikang Li, Fan Fan","doi":"10.1177/10567895261422485","DOIUrl":"https://doi.org/10.1177/10567895261422485","url":null,"abstract":"This paper presents a novel multidimensional, elastoplastic, stochastic damage constitutive model for concrete developed through the phenomenological approach, with the aim of providing a more objective description of the mechanical behavior of concrete under multidimensional stress states. First, an isotropic hardening model of concrete was established within the effective stress space based on Ottosen's criterion. This approach ensures that the yield surface remains smooth and continuous, thus preventing potential nonconvergence issues in numerical calculations that may arise due to strain softening. Subsequently, a novel methodology was established, grounded on the non-associative flow criterion of plastic mechanics, to address the issue of plastic deformation in the elastoplastic stochastic damage constitutive model. Finally, the multidimensional, elastoplastic, stochastic damage constitutive model of concrete was imported into COMSOL Multiphysics for a numerical analysis of reinforced concrete (RC) beams without web reinforcement. The obtained results were analyzed and compared with the simulation results derived from ABAQUS in terms of the plastic deformation, damage evolution, and force–displacement curves. The findings indicated that the proposed multidimensional, elastoplastic, stochastic damage constitutive model for concrete could more accurately capture the progression of plastic deformation and comprehensively represent the evolution process of concrete damage under loading conditions when compared with ABAQUS simulations. The force–displacement curve derived from this model exhibited a closer agreement with the experimental data, with the discrepancies between the calculated and tested values of the concentrated loads across various deflections remaining within 10%. The proposed constitutive model effectively encapsulates the nonlinear and stochastic characteristics inherent in concrete.","PeriodicalId":13837,"journal":{"name":"International Journal of Damage Mechanics","volume":"19 1","pages":""},"PeriodicalIF":4.2,"publicationDate":"2026-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147287596","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}