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Experimental study on the microseismic, sound, and acoustic emission characteristics of different damages in granites subjected to various loads 不同载荷作用下花岗岩不同损伤的微震、声、声发射特性试验研究
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-10-31 DOI: 10.1177/10567895251391013
Danni Luo, Zhikai Hu, Yi Shi, Jiann-Wen Woody Ju, Guoshao Su
The mechanical properties of rocks with different degrees of damage can affect the safety and stability of underground engineering projects, and their acoustic characteristics relevant to the analysis, prediction and early warnings of internal failure. In this study, uniaxial compression, biaxial compression, direct shear and Brazilian splitting tests of granite were performed, and the entire process of rock failure was monitored in real time by microseismic (MS), sound, and acoustic emission (AE) systems. The variations in granite strength and deformation characteristics under different stress states versus the initial damages in rock were studied, and the evolution characteristics of MS, sound, and AE signals of granite with different degrees of damage under various stress states were compared and analyzed. The results show that: (1) Under various stress states, granite strength significantly decreases with increasing initial damage, and the corresponding magnitude of each decrease in strength follows the order of Brazilian splitting strength > uniaxial compressive strength > shear strength > biaxial compressive strength. Moreover, as the initial damage increases, the failure characteristics tend to transform from brittle failure to ductile failure, and the compressive failure mode changes from tension-based failure to shear-based failure. (2) The evolution of the MS, sound, and AE signals of rock specimens with different degrees of damage generally exhibits significant differences when D > 0.37 and D < 0.37. (3) Based on the evolutionary characteristics of MS, sound and AE signals, precursor information about rock failure and the initial damage in rock can be obtained. In general, for rocks with different degrees of damage, MS signals provide the most abundant precursor information and criteria, followed by AE signals and sound signals. These differences are related to the differences in the signal frequency band, acquisition frequency, acquisition mode, and sensitivity of the three types of acoustic signals.
不同程度损伤岩石的力学特性会影响地下工程的安全稳定,其声学特性关系到内部破坏的分析、预测和预警。通过对花岗岩进行单轴压缩、双轴压缩、直剪和巴西劈裂试验,利用微震(MS)、声发射(AE)系统对岩石破坏全过程进行实时监测。研究了不同应力状态下花岗岩强度和变形特征与岩石初始损伤的变化规律,对比分析了不同损伤程度花岗岩在不同应力状态下的质谱、声、声发射信号的演化特征。结果表明:(1)在各种应力状态下,花岗岩强度随初始损伤程度的增加而显著降低,其强度降低幅度依次为巴西劈裂强度>、单轴抗压强度>、抗剪强度>、双轴抗压强度。随着初始损伤的增加,破坏特征有从脆性破坏向延性破坏转变的趋势,压缩破坏模式有从拉伸破坏向剪切破坏转变的趋势。(2)当D >; 0.37和D <; 0.37时,不同损伤程度岩石试样的MS、sound和AE信号的演化规律普遍存在显著差异。(3)基于质谱、声发射信号的演化特征,可以获得岩石破坏和岩石初始损伤的前兆信息。一般来说,对于不同损伤程度的岩石,质谱信号提供的前兆信息和判据最为丰富,声发射信号次之,声信号次之。这些差异与三类声信号在信号频带、采集频率、采集方式、灵敏度等方面的差异有关。
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引用次数: 0
Ensemble learning-based artificial intelligence approaches for predicting low-cycle fatigue life for aluminum alloys 基于集成学习的人工智能方法预测铝合金低周疲劳寿命
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-10-28 DOI: 10.1177/10567895251380211
Enmar Khalis, Larbi Boubchir, Boubaker Daachi
This paper comprehensively analyzes the artificial intelligence (AI) models that predict low-cycle fatigue life for an aluminum alloy, considering tension–compression and torsion–torsion experiments. The study highlights the crucial need for precise fatigue life predictions to ensure the reliability and safety of structures subjected to different cyclic loading conditions. By incorporating diverse loading scenarios, the aim is to develop AI models that surpass traditional approaches’ limitations, offering enhanced predictive capabilities. This work explores the potential of AI models for fatigue life prediction, focusing on bridging the gap between traditional learning and ensemble learning predictive techniques. Its analysis improves the understanding of fatigue and contributes to developing accurate and versatile predictive tools. The ensemble learning techniques that combine the strengths of different algorithms are targeted to assess their performance. Based on the methodology, the results provide a thorough explanation of the proposed AI models for normal and shear strain-controlled cyclic loading conditions. The impact of ensemble learning methods, LightGBM, XGBoost, CatBoost, extra trees, and nearest neighbors are investigated on the accuracy of fatigue life prediction. A comparative evaluation of these AI models in terms of their predictive capabilities in different strain scenarios is presented. This approach enhances the overall efficacy of the learning system by considering a host of perspectives and drawing on the strengths of diverse models.
本文综合分析了人工智能(AI)模型对铝合金低周疲劳寿命的预测,同时考虑了拉伸-压缩和扭转-扭转试验。该研究强调了精确的疲劳寿命预测的重要性,以确保结构在不同循环荷载条件下的可靠性和安全性。通过整合不同的加载场景,目标是开发超越传统方法局限性的人工智能模型,提供增强的预测能力。这项工作探索了人工智能模型在疲劳寿命预测方面的潜力,重点是弥合传统学习和集成学习预测技术之间的差距。它的分析提高了对疲劳的理解,有助于开发准确、通用的预测工具。集成学习技术结合了不同算法的优势,以评估其性能。基于该方法,研究结果为法向和剪切应变控制的循环加载条件下提出的人工智能模型提供了全面的解释。研究了集成学习方法、LightGBM、XGBoost、CatBoost、额外树和最近邻对疲劳寿命预测精度的影响。对这些人工智能模型在不同应变情景下的预测能力进行了比较评估。这种方法通过考虑多种视角和借鉴不同模型的优势,提高了学习系统的整体效率。
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引用次数: 0
Characterization and modeling of anisotropic damage evolution for large-diameter thin-walled CP-Ti tube 大直径薄壁CP-Ti管各向异性损伤演化表征与建模
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-10-17 DOI: 10.1177/10567895251380209
Zhao Zhang, Hang Huang, Heng Yang, Heng Li
Tubular titanium components have been widely used in advanced equipment in aerospace, marine, energy, and healthcare fields over the past decades. For commercial pure titanium (CP-Ti) tubes with hexagonal close-packed (HCP) crystal structure, the limited slip systems and the strong texture caused by multi-pass thermal–mechanical processing make the material always exhibit a strong anisotropy in damage evolution, which easily leads to early failure of components during forming processes. The accurate characterization and modeling of anisotropic damage evolution is a non-trivial issue for excavating the forming potential of materials. In this study, firstly, by taking the large-diameter thin-walled CP-Ti tube as a case material, the uniaxial tension tests along the 0°, 45°, and 90° directions, as well as the simple shear and plane strain tension tests, were designed and conducted to obtain the anisotropic plasticity and fracture behaviors. Then, by integrating a direction-dependent damage rate multiplier and the Hill'48 yield function into the Lode-parameter dependent Lemaitre (Lode-Lemaitre) damage model, the modified Lode-Lemaitre model was established, numerically implemented, and calibrated for the description of the anisotropic damage evolution of the CP-Ti tube. Finally, the prediction ability of the modified Lode-Lemaitre model was evaluated, and the damage evolution of the CP-Ti tube under various loading conditions was analyzed. The comparisons of the experimental and simulation results show that the prediction error of fracture displacement was reduced from 43.2% to 5.48%, and the wall thickness distribution of the Y-shaped tube was accurately predicted. These results prove that the modified Lode-Lemaitre model can accurately describe the anisotropic damage evolution of the CP-Ti tube.
在过去的几十年里,管状钛部件被广泛应用于航空航天、船舶、能源、医疗等领域的先进设备中。对于具有六方密排(HCP)晶体结构的商用纯钛(CP-Ti)管,由于有限滑移系统和多道次热机械加工产生的强织构,使得材料在损伤演化过程中始终表现出较强的各向异性,容易导致成形过程中构件的早期失效。各向异性损伤演化的准确表征和建模是挖掘材料成形潜力的一个重要问题。本研究首先以大直径薄壁CP-Ti管为壳体材料,设计并进行了沿0°、45°、90°方向的单轴拉伸试验以及简单剪切、平面应变拉伸试验,获得了大直径CP-Ti管的各向异性塑性和断裂行为。然后,将方向相关损伤率乘数和Hill’48屈服函数整合到lode参数相关的Lemaitre (Lode-Lemaitre)损伤模型中,建立改进的Lode-Lemaitre模型,并对其进行数值实现和校准,用于描述CP-Ti管的各向异性损伤演化。最后,对改进的Lode-Lemaitre模型的预测能力进行了评价,并对CP-Ti管在不同载荷条件下的损伤演化进行了分析。实验结果与仿真结果的对比表明,该方法将裂缝位移预测误差从43.2%降低到5.48%,准确预测了y形管的壁厚分布。结果表明,改进的Lode-Lemaitre模型能够准确地描述CP-Ti管的各向异性损伤演化过程。
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引用次数: 0
Computational assessment of mechanical damage in a thermoelastic rod under hyperbolic two-temperature theory with nonlocal and memory effects 考虑非局部和记忆效应的双曲双温理论下热弹性杆力学损伤的计算评估
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-10-06 DOI: 10.1177/10567895251380193
Abhik Sur, Sudip Mondal
The present work is devoted to study the thermoelastic interaction for a homogeneous thermoelastic rod, exposed to a moving heat source under the purview of hyperbolic two-temperature thermoelasticity. The constitutive relations for the present problem has been framed in the context of nonlocal elasticity theory taking into account the mechanical damage. The heat conduction equation in the present situation has been established taking into account the Moore–Gibson–Thompson generalized heat equation within a slipping interval on assimilating the memory-dependent derivative. The rod is assumed to be fixed at both ends and thermally insulated. The governing equations have been solved by the Laplace transform mechanism and in order to arrive at the solutions in real space–time domain, inversion of the Laplace transform has been performed using the method of Zakian. The computational results have been obtained for various values of damage parameter to reveal significant effect of various parameters such as hyperbolic two-temperature parameter, classical two-temperature parameter, various kernel function, nonlocal parameter and the time delay also. Various comparative studies have been performed to analyze the impact of damage on each physical fields. Moreover, a comparative study between hyperbolic two-temperature theory and one-temperature theory is also carried out.
本文在双曲双温热弹性的范围内,研究了均匀热弹性棒在运动热源下的热弹性相互作用。在考虑力学损伤的非局部弹性理论背景下,建立了该问题的本构关系。在吸收记忆相关导数的基础上,考虑滑动区间内Moore-Gibson-Thompson广义热方程,建立了当前情况下的热传导方程。假设杆两端固定,并且是隔热的。利用拉普拉斯变换机制对控制方程进行求解,并利用Zakian方法对其拉普拉斯变换进行反演,从而得到实空时域的解。计算结果表明,双曲双温参数、经典双温参数、各种核函数、非局部参数和时间延迟等参数对损伤参数的影响是显著的。已经进行了各种比较研究,以分析损害对每个物理场的影响。此外,还对双曲双温理论和单温理论进行了比较研究。
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引用次数: 0
A 3D failure criterion for damage assessment in composite T-joints under complex multiaxial stress status 复合材料t形接头在复杂多轴应力状态下的三维破坏准则
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-09-29 DOI: 10.1177/10567895251380239
Shakir Hussain Chaudhry, Pu Xue, Ameer S Zirjawi
Composite T-joint application as a stiffener is a conjoint aspect in many thin-shell aero-structures; however, these structures are often prone to low-velocity impacts that can drastically reduce their load-carrying capacity. This article implements a new effective approach to determine damage sensitivity and progression. The first part includes a detailed assessment of the three-dimensional (3D) stress status and the result shows that the shear stresses substantially influence the deltoid matrix failure and skin-stiffener debonding. In the second part, a high-fidelity 3D damage model, with a modified damage initiation failure criterion based on Hashin and Puck is implemented via ABAQUS/EXPLICIT VUMAT user-subroutine. The intralaminar damage model considers 3D stress states and continuous stiffness degradation theory while for interlaminar failure, the cohesive-zone method based on bi-linear traction separation law is used. The mechanical response, as well as the intralaminar and interlaminar damage predicted by the model, shows a good correlation with the experimental findings. The results model shows a maximum error of 8% in the case of load versus time and a maximum error of 2.5% in the case of energy absorbed with the experimental results. Overall, the impact behavior of integrated composite structures can be effectively predicted using the recommended method.
复合材料t型接头作为加强筋是许多薄壳航空结构连接的一个方面;然而,这些结构往往容易受到低速撞击,从而大大降低其承载能力。本文实现了一种新的有效方法来确定损伤的敏感性和进展。第一部分包括对三维应力状态的详细评估,结果表明剪切应力对三角矩阵破坏和蒙皮加筋剥离有很大影响。第二部分通过ABAQUS/EXPLICIT VUMAT用户子程序实现了高保真三维损伤模型,并基于Hashin和Puck修正了损伤起裂失效准则。层间损伤模型考虑了三维应力状态和连续刚度退化理论,层间破坏采用基于双线牵引分离规律的黏结区方法。模型预测的力学响应以及层间和层内损伤与实验结果具有较好的相关性。计算结果表明,负荷对时间的最大误差为8%,能量吸收与实验结果的最大误差为2.5%。总体而言,采用推荐的方法可以有效地预测集成复合材料结构的冲击行为。
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引用次数: 0
Stiffness degradation analysis of recycled aggregate concrete beam on Kerr-type foundation: Force-based approach kerr型基础上再生骨料混凝土梁刚度退化分析:基于力的方法
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-09-25 DOI: 10.1177/10567895251380244
Suchart Limkatanyu, Worathep Sae-Long, Nattapong Damrongwiriyanupap, Piti Sukontasukkul, Griengsak Kaewkulchai, Hamid M Sedighi, Hexin Zhang
This study proposes a new beam–foundation model for analyzing the static behavior of recycled aggregate concrete (RAC) beam resting on Kerr-type foundations. The novelty of the approach lies in the integration of three distinct damage models—the Voigt parallel model, the Reuss serial model, and the generalized self-consistent model—into a force-based framework. These models are employed to capture stiffness degradation in RAC beams under isotropic and homogeneous conditions, addressing the need for more realistic damage representation in sustainable concrete structures. The Kerr-type foundation model accounts for interaction between the beam and its underlying foundation, while the Euler–Bernoulli beam theory governs the beam's deformation behavior under small displacements. The governing equations are formulated using the virtual force principle. Through a series of numerical simulations, the study investigates how damage mechanisms and system parameters influence the bending response of the RAC beam–foundation system. The results demonstrate that both the type of damage model and foundation characteristics significantly affect the structural stiffness, leading to either softening or stiffening responses.
本文提出了一种新的梁-基础模型,用于分析克尔型基础上再生骨料混凝土梁的静力性能。该方法的新颖之处在于将三种不同的损伤模型——Voigt并行模型、Reuss串行模型和广义自洽模型——整合到一个基于力的框架中。这些模型用于捕捉各向同性和均匀条件下RAC梁的刚度退化,解决可持续混凝土结构中更真实的损伤表示需求。kerr型基础模型考虑了梁与下卧基础的相互作用,而Euler-Bernoulli梁理论控制了梁在小位移下的变形行为。利用虚力原理建立了控制方程。通过一系列的数值模拟,研究了损伤机制和系统参数对RAC梁-基础体系弯曲响应的影响。结果表明,损伤模型类型和基础特性对结构刚度均有显著影响,导致结构出现软化或加劲响应。
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引用次数: 0
Microwave assisted concrete breakage: The viewpoint on analysing concrete thermal and mechanical behaviour 微波辅助混凝土破碎:混凝土热力学性能分析的观点
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-09-24 DOI: 10.1177/10567895251380241
Wei Wei, Xing wang Chen, Zhenyang Zong, Rujia Qiao, Qian Geng
Effective concrete breaking is a challenge for concrete recycling engineering. Macroscopic and microscopic tests were conducted to explore the thermal damage evolution of concrete under microwave irradiation in this paper. Uniaxial compressive strength test was employed to investigate the impact of microwave irradiation on concrete macroscopic mechanical. Concurrently, scanning electron microscopy test, X-Ray diffraction analysis, and computed tomography scan test were utilized to investigate microstructure evolution and chemical content variation. The results show that the response of basalt aggregate to microwaves was stronger than that of the mortar, resulting in thermal gradient stress between them, leading to interface debonding and concrete damage. Within the temperature range of 100°C–300°C, the water liberated by AFt (Ettringite) hydrolysis evaporated in conjunction with the free water within the concrete, leading to the increment of porosity and rapid growth of cracks. Within 300°C–500°C, CH and C-S-H decomposed, which causes internal crack propagation. A main fracture zone was formed in concrete after sufficient power input, creating a zone of concentrated damage. The fracture mainly occurred and propagated at aggregate–mortar interface. The study can provide a reference for the application of microwave-assisted concrete breaking.
混凝土有效破碎是混凝土回收利用工程面临的挑战。通过宏观和微观试验研究了微波辐照下混凝土的热损伤演化过程。采用单轴抗压强度试验研究了微波辐照对混凝土宏观力学性能的影响。同时,利用扫描电镜、x射线衍射分析和计算机断层扫描测试对其微观结构演变和化学成分变化进行了研究。结果表明:玄武岩骨料对微波的响应强于砂浆,两者之间产生热梯度应力,导致界面脱落,混凝土损伤;在100°C - 300°C的温度范围内,AFt(钙矾石)水解释放的水与混凝土内部的自由水一起蒸发,导致孔隙率增加,裂缝快速增长。在300℃- 500℃范围内,CH和C- s - h发生分解,导致内部裂纹扩展。足够的功率输入后,混凝土内部形成主断裂带,形成集中破坏区。断裂主要发生和扩展在骨料-砂浆界面。研究结果可为微波辅助混凝土破碎的应用提供参考。
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引用次数: 0
A microcrack-based continuum damage model for initially anisotropic sedimentary rocks 初始各向异性沉积岩微裂纹连续损伤模型
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-09-19 DOI: 10.1177/10567895251380199
Hou Huiming, Yan Chong, Zhao Linshuang
In present work, a new microcrack-based anisotropic damage model is proposed for initially anisotropic rocks, such as sedimentary rock. A second-order damage tensor is adopted to represent the density and direction of the microcracks. The anisotropic mechanical damage evolution law is determined by the propagation of microcracks. Local tensile stress and linear elastic fracture mechanics are used to describe the propagation of microcrack. The orientation of bedding plane is also taken into account in damage evolution equation. The constitutive equations are developed by considering the coupling effects between the inherent and induced anisotropies. The model parameters can be determined by triaxial compression tests of rocks with different bedding orientations. The proposed model is applied to describe the mechanical behavior of a typical sedimentary rock. The experimental and simulated results are in good agreement. The model can capture the general anisotropic behavior and damage properties of the initially anisotropic rocks. Due to the crack-controlled model, snap-back behavior in the early softening regime is also captured.
本文针对沉积岩等初始各向异性岩石,提出了一种基于微裂纹的各向异性损伤模型。采用二阶损伤张量表示微裂纹的密度和方向。各向异性力学损伤演化规律由微裂纹的扩展决定。用局部拉应力和线弹性断裂力学来描述微裂纹的扩展。在损伤演化方程中还考虑了层理平面的方向。考虑了固有各向异性和诱导各向异性之间的耦合效应,建立了本构方程。模型参数可通过不同层理方向岩石的三轴压缩试验确定。该模型用于描述典型沉积岩的力学行为。实验结果与仿真结果吻合较好。该模型能够捕捉到初始各向异性岩石的一般各向异性行为和损伤特性。由于裂纹控制模型,在早期软化状态下的弹回行为也被捕获。
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引用次数: 0
A five-dimensional digital twin model of bogie frame with a new approach for accumulation fatigue damage 基于累积疲劳损伤新方法的转向架框架五维数字孪生模型
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-09-08 DOI: 10.1177/10567895251375352
Yuhan Tang, Yuedong Wang, Yonghua Li, Tao Guo, Qiyu An, Qi Dong
The fatigue failure of the rail vehicle bogie frame is primarily attributed to nonlinear fatigue damage under complex loading conditions. As one of the key technologies for promoting digitization in the field of rail transport, the related studies focusing on nonlinear fatigue damage assessment of the bogie frame based on a digital twin are being developed. In response to this case, a five-dimensional digital twin model of the bogie frame with a new approach for accumulation fatigue damage is established. To enhance the accuracy of the fatigue damage assessment in the digital twin model, an improved Manson–Halford nonlinear cumulative analytical model is presented based on the analogy between the decomposition of organic matter in ecology and the degradation of mechanical properties of materials. Additionally, to boost the efficiency of mapping between the physical entity and the virtual entity based on physical programming and particle swarm optimization. The proposed digital twin model uniquely merges data-driven and mechanics-driven methodologies, offering a robust solution for the structural design and durability optimization of the bogie frame.
轨道车辆转向架框架的疲劳破坏主要是复杂载荷条件下的非线性疲劳损伤。作为推进轨道交通数字化的关键技术之一,基于数字孪生的转向架车架非线性疲劳损伤评估研究正在展开。针对这种情况,建立了具有累积疲劳损伤新方法的转向架车架五维数字孪生模型。为了提高数字孪生模型中疲劳损伤评估的准确性,将生态系统中有机物的分解与材料力学性能的退化进行类比,提出了一种改进的Manson-Halford非线性累积分析模型。此外,基于物理规划和粒子群优化,提高物理实体与虚拟实体映射的效率。所提出的数字孪生模型独特地融合了数据驱动和力学驱动的方法,为转向架框架的结构设计和耐久性优化提供了强大的解决方案。
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引用次数: 0
Modeling of concrete under external sulfate attack considering the effect of multiple chemical reactions 考虑多种化学反应影响的外硫酸盐侵蚀混凝土模型
IF 4.2 2区 工程技术 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2025-08-19 DOI: 10.1177/10567895251365631
Yihao Ren, Bao Qin, Zheng Zhong
Once sulfate ions enter a concrete structure, they can react with multiple aluminate phases within the concrete to form ettringite, which eventually leads to swelling and cracking of the structure. To reveal the mechanism of external sulfate attack (ESA), a fully coupled nonlinear constitutive model is developed for transient diffusion-reaction-deformation response of concrete exposed to sulfate environment, by introducing the concentration of sulfate diffusion and the extents of multiple sulfate reactions as independent variables to characterize their respective contributions to free energy and volume expansion. In addition, a structural damage function is incorporated to measure the effect of ESA on elastic constants and diffusion coefficient of concrete. Specially, multiple reaction kinetics equations are established to satisfy the dissipation inequality, which depend not only on the concentrations of the species involved, but also on the stress. The model is then validated by comparing with the experimental results of one-dimensional sulfate attack, and numerical examples are used to illustrate the competing mechanisms between multiple reaction pathways and the interaction between chemical reactions and mechanical loading.
一旦硫酸盐离子进入混凝土结构,它们可以与混凝土内的多个铝酸盐相反应形成钙矾石,最终导致结构膨胀和开裂。为了揭示外部硫酸盐侵蚀(ESA)的机理,建立了硫酸盐环境下混凝土瞬态扩散-反应-变形响应的全耦合非线性本构模型,引入硫酸盐扩散浓度和多种硫酸盐反应程度作为自变量,表征它们各自对自由能和体积膨胀的贡献。此外,还引入结构损伤函数来测量ESA对混凝土弹性常数和扩散系数的影响。特别地,建立了多个反应动力学方程来满足耗散不等式,该方程不仅与所涉及的物质浓度有关,而且与应力有关。通过与一维硫酸盐侵蚀实验结果的对比验证了模型的正确性,并通过数值算例说明了多种反应途径之间的竞争机制以及化学反应与机械载荷之间的相互作用。
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引用次数: 0
期刊
International Journal of Damage Mechanics
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