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Cyclic responses and prediction of martensitic steel with hierarchical lath subjected to universal creep-fatigue loading 层状板条马氏体钢在蠕变疲劳载荷作用下的循环响应及预测
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-03-01 Epub Date: 2025-09-20 DOI: 10.1016/j.euromechsol.2025.105890
Pei-Shan Ding , Tian-Shu Cai , Xiao-Tao Zheng , Peng Zhao
The creep-ratcheting responses of advanced 9–12 %Cr steel with hierarchical martensitic lath structure at 600 °C considering the stress ratio of 0.1, 0.3, 0.5, 0.7, 0.9 and 1, as well as different peak holding times are researched. Mechanical responses during creep-ratcheting process including the corresponding anelastic creep recovery and primary creep regeneration, and creep-fatigue fracture and deformation mechanisms are analyzed. Results show that the anelastic recovery and the maximum primary creep regeneration remain nearly constant throughout the entire lifetime, irrespective of peak holding time. However, both of them decrease almost linearly with increasing the stress ratio. Additionally, the creep-ratcheting deformation and rupture mechanism become closer to that of static creep when the stress ratio grows up, judging from the observations of fracture morphology and dislocation patterns. Notably, the creep-fatigue damage accelerates approximately near the half-lifetime for various cases. Moreover, a unified creep-ratcheting superposition constitutive model coupled with continuum damage mechanics introducing the effects of stress ratio and peak holding time is proposed. Validation results demonstrate that the evolutions of creep-ratcheting deformation as well as the corresponding ratcheting and creep components disintegrated from the total creep-ratcheting strain can be predicted with very good accuracy, which is helpful to elucidate the creep-fatigue interaction during the whole lifetime under creep-fatigue conditions.
研究了在应力比分别为0.1、0.3、0.5、0.7、0.9和1以及不同峰值保温时间下,高级9 - 12% Cr分层马氏体板条钢在600℃时的蠕变棘轮响应。分析了蠕变-棘轮过程的力学响应,包括相应的非弹性蠕变恢复和原生蠕变再生,以及蠕变-疲劳断裂和变形机制。结果表明,与峰值保温时间无关,非弹性回复率和最大初级蠕变再生率在整个寿命期内几乎保持不变。但随着应力比的增大,两者几乎呈线性下降。此外,从断口形貌和位错模式的观察来看,随着应力比的增大,蠕变-棘轮变形和断裂机制更接近于静态蠕变。值得注意的是,在各种情况下,蠕变疲劳损伤大约在半衰期附近加速。在此基础上,引入应力比和峰值保持时间的影响,建立了统一的蠕变-棘轮叠加本构模型。验证结果表明,蠕变-棘轮变形的演化过程以及从蠕变-棘轮总应变中分解出来的相应的棘轮和蠕变分量可以很好地预测,这有助于阐明蠕变-疲劳条件下蠕变-疲劳的全寿命相互作用。
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引用次数: 0
Forward-backward internal resonances in asymmetrical rotors under electromagnetic and gravitational fields 电磁场和引力场作用下非对称转子的前后向内部共振
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-03-01 Epub Date: 2025-09-04 DOI: 10.1016/j.euromechsol.2025.105845
Majid Shahgholi , Jan Awrejcewicz
This study presents a comprehensive analytical and numerical investigation of an asymmetrical rotating shaft subjected to electromagnetic loading and gravitational effects. Employing Hamilton principle and the harmonic balance method, dimensionless equations of motion and modulation equations for the gravity-induced 1:-1 internal resonance (via static deflection coupling forward and backward whirling modes), as well as simultaneous super-harmonic and 1:-1 internal resonances. Linear stability analysis yields a Campbell diagram with two critical speeds that decrease monotonically as the electromagnetic parameter increases. Backbone-curve and frequency-response analyses indicate that the electromagnetic softening effect shifts the backbone curves toward lower speeds and reduces peak amplitudes, while gravity introduces new bifurcations, right-inclined response branches, and narrow frequency ranges of simultaneous forward/backward instability. Under primary-induced internal resonance, the asymmetrical system exhibits up to five coexisting steady-state solutions (three stable), compared to three in the symmetrical system (one stable). In contrast, super-harmonic–induced internal resonance generates up to seven solutions, many of which are unstable. Analytical predictions show excellent agreement with numerical results and time-history/FFT simulations. These findings quantify the influence of electromagnetic fields, gravity, and asymmetry on the onset of complex modal interactions, offering practical guidelines for tuning rotor systems to avoid deleterious internal resonances in high-speed applications.
本文对电磁载荷和重力作用下的非对称转轴进行了全面的分析和数值研究。利用哈密顿原理和谐波平衡方法,建立了重力诱导的1:-1内共振(通过静挠度耦合前后旋转模式)以及超谐波和1:-1内共振的无量纲运动方程和调制方程。线性稳定性分析得到两个临界速度随电磁参数的增加而单调减小的坎贝尔图。主干曲线和频率响应分析表明,电磁软化效应使主干曲线向低速方向移动,峰值幅值减小,而重力作用引入了新的分岔、右倾响应分支和同时正向/向后不稳定的窄频率范围。在初级诱导的内部共振下,非对称系统显示出多达五个共存的稳态解(三个稳定),而对称系统中有三个(一个稳定)。相比之下,超谐波引起的内部共振产生多达七种解决方案,其中许多是不稳定的。分析预测结果与数值结果和时程/FFT模拟结果非常吻合。这些发现量化了电磁场、重力和不对称性对复杂模态相互作用开始的影响,为调整转子系统以避免高速应用中有害的内部共振提供了实用指南。
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引用次数: 0
Corrigendum to “Hyperelastic nature of the Hoek–Brown criterion” [Europe. J. Mech. A/Solid. 115 (2026) 105782] “Hoek-Brown准则的超弹性性质”的勘误表[欧洲]。j .机械工程。A /固体。115 (2026) 105782]
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-03-01 Epub Date: 2025-11-23 DOI: 10.1016/j.euromechsol.2025.105945
I. Fontana , G. Bacquaert , D.A. Di Pietro , K. Kazymyrenko
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引用次数: 0
Mechanics meets neurology: Mechanobiomaterial studies on brain diseases and neuromodulation 力学与神经学:脑疾病和神经调节的力学生物材料研究
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-03-01 Epub Date: 2025-09-02 DOI: 10.1016/j.euromechsol.2025.105857
Xuan Zhang , Huiling Yu , Changqing Jiang , Yue Shao , Bo Li , Xiaoyan Li , Changqing Chen , Zhuoer Liu , Pengfei Yang , Xi-Qiao Feng , Luming Li , Huajian Gao
Mechanics has long served as a cornerstone of science and engineering, providing essential theoretical foundations for technological advancement. As global populations age, neurodegenerative diseases and neurological disorders—now surpassing cardiovascular diseases—have become the leading contributors to global health burdens, posing urgent societal and economic challenges. This perspective article outlines a research framework for neurodegenerative diseases, with Parkinson's disease (PD) as a representative example, through the lens of the mechanobiomaterials paradigm. Rooted in core principles of mechanics, this paradigm explores mechanics–geometry–function relationships across molecular to organ scales. While PD is clinically diagnosed by motor symptoms and treated symptomatically, its underlying pathogenesis remains poorly understood. Neuromodulation techniques have shown therapeutic promise for PD and related conditions, yet their mechanisms of action are still unclear. We highlight how integrating mechanics, materials science, and biomedical research can help address two critical gaps: (1) the role of protein misfolding, especially α-synuclein aggregation, in disease initiation, and (2) the correlation between brain tissue mechanics and disease progression. By framing these challenges within a mechanobiomaterials context, we propose a path toward deeper mechanistic insights into brain disorders and neuromodulation—opening new frontiers for both neuroscience and mechanics.
力学长期以来一直是科学和工程的基石,为技术进步提供了必要的理论基础。随着全球人口老龄化,神经退行性疾病和神经系统疾病(现已超过心血管疾病)已成为全球健康负担的主要贡献者,构成了紧迫的社会和经济挑战。这篇前瞻性的文章概述了神经退行性疾病的研究框架,以帕金森病(PD)为代表的例子,通过机械生物材料范式的透镜。根植于力学的核心原则,这种模式探索力学-几何-函数关系跨越分子到器官的尺度。虽然PD在临床上通过运动症状进行诊断和对症治疗,但其潜在的发病机制仍然知之甚少。神经调节技术已经显示出PD和相关疾病的治疗前景,但其作用机制仍不清楚。我们强调如何整合力学,材料科学和生物医学研究可以帮助解决两个关键空白:(1)蛋白质错误折叠的作用,特别是α-突触核蛋白聚集,在疾病的发生,以及(2)脑组织力学与疾病进展之间的相关性。通过在机械生物材料的背景下构建这些挑战,我们提出了一条通往更深入的大脑疾病和神经调节机制见解的途径-为神经科学和力学开辟了新的前沿。
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引用次数: 0
Quantized characteristic of a new stress wave profile originating from a frictional interface 源自摩擦界面的新应力波剖面的量化特征
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-03-01 Epub Date: 2025-09-16 DOI: 10.1016/j.euromechsol.2025.105877
Lingyan Shen, Yonggui Liu, Wenzhen Wang, Xiao fei Ji
The fine structure of stress waves within the frictional interface is crucial for comprehending the transition processes of frictional motion at the micro spatiotemporal scale. However, detecting early wave signs of proximity to a skipping is made challenging due to their elusive and feeble nature. By integrating experiments with the finite element simulation and wave theory analysis, for the first time, we observe a novel stress wave profile. This new stress wave, stems from the frictional interface, travels perpendicularly to the interface into the substrate at a velocity of a plane longitudinal wave. Unlike the previously crack-like ruptures, the new stress wave exhibits a nonlinear attenuation pattern in space and quantized plateaus of enhancement in time with a characteristic time. Our results reveal that the generation of the new stress wave is attributed to the overall dynamic response of the entire frictional interface, rather than being dependent on the local fractures of micro-contacts within the interface. Geometrically, the front of this new stress wave forms the envelope of spherical waves emitted by particles at the interface. Mathematically, it can be characterized as a scattering wave field, generated by the frictional interface operator factor acting on the incident wave, akin to the diffraction of light. This discovery offers a novel benchmark for understanding of what governs critical transitions in frictional motion, with important implications for interpreting seismic patterns.
摩擦界面内应力波的精细结构对于理解微观时空尺度上摩擦运动的转变过程至关重要。然而,由于其难以捉摸和微弱的性质,探测到跳绳附近的早期波信号是具有挑战性的。将实验与有限元模拟和波动理论分析相结合,首次观察到一种新的应力波剖面。这种新的应力波源于摩擦界面,以平面纵波的速度垂直于界面传播到基材中。与以往的类裂纹破裂不同,新应力波在空间上表现为非线性衰减模式,在时间上表现为具有特征时间的量化增强平台。研究结果表明,新应力波的产生是由于整个摩擦界面的整体动态响应,而不是依赖于界面内微接触的局部断裂。在几何上,这个新的应力波的前面形成了由界面上的粒子发射的球形波的包络。在数学上,它可以被表征为散射波场,由摩擦界面算子因子作用于入射波产生,类似于光的衍射。这一发现为理解是什么控制了摩擦运动的关键转变提供了一个新的基准,对解释地震模式具有重要意义。
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引用次数: 0
Size effect and microstructure evolution of electrically-assisted deformation for Ti65 titanium alloy foils in high temperature range: Experiments and modelling Ti65钛合金箔高温电辅助变形的尺寸效应与微观结构演化:实验与模型
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-03-01 Epub Date: 2025-10-10 DOI: 10.1016/j.euromechsol.2025.105913
Yiwen Lei , Zhengqi Guo , Huiping Wu , Dayong An , Qi Hu , Heli Peng , Xifeng Li , Jun Chen
Electrically assisted forming (EAF) technologies leverage electroplastic effects induced by electric current passage through metallic materials to enhance the deformation ability of difficult-to-form alloys, such as titanium alloys, which typically require elevated temperature (>700 °C) for high-precision forming due to their limited formability at lower temperature. However, microstructure evolution and mechanical response prediction of titanium alloy foils during EAF at elevated temperature remain insufficiently investigated owing to complex interplay between electroplasticity and size effect. In the present study, electrically assisted uniaxial tensile experiments were performed on Ti65 titanium alloy foils with a thickness of 0.1 mm and grain sizes ranging from 7.2 μm to 22.3 μm. Experimental results demonstrated that electric current-induced softening and strain rate strengthening exhibit a pronounced size effect. Initial grain size and critical recrystallization strain show an inverse correlation. Dynamic recrystallization (DRX) volume fraction increases significantly with electric current density for fine-grained specimens. But, the effect of current density on DRX process is limited and non-monotonic for coarse-grained specimens. A physically based constitutive model that integrates size effects with multiple strengthening and softening mechanisms is developed. The proposed model accurately characterizes the flow softening behavior of Ti65 titanium alloy foils with different initial grain sizes across varying electric current densities and strain rates. It is revealed that grain coarsening significantly weakens the contributions of precipitation strengthening and DRX softening on dislocation density evolution. Furthermore, significant flow stress drop due to athermal electroplasticity is calculated based on the proposed model.
电辅助成形(EAF)技术利用电流通过金属材料引起的电塑性效应来增强难成形合金的变形能力,例如钛合金,由于其在较低温度下的成形能力有限,通常需要提高温度(>700°C)才能进行高精度成形。然而,由于电塑性和尺寸效应之间的复杂相互作用,对钛合金箔在高温电火花放电过程中的微观组织演变和力学响应预测的研究还不够充分。在本研究中,对厚度为0.1 mm、晶粒尺寸为7.2 ~ 22.3 μm的Ti65钛合金箔进行了电辅助单轴拉伸实验。实验结果表明,电流诱导软化和应变率强化表现出明显的尺寸效应。初始晶粒尺寸与临界再结晶应变呈负相关。细晶试样的动态再结晶(DRX)体积分数随着电流密度的增加而显著增加。但对于粗晶试样,电流密度对DRX过程的影响是有限且非单调的。建立了集尺寸效应与多种强化和软化机制于一体的物理本构模型。该模型准确表征了不同初始晶粒尺寸的Ti65钛合金箔在不同电流密度和应变速率下的流动软化行为。结果表明,晶粒粗化显著削弱了沉淀强化和DRX软化对位错密度演化的贡献。此外,基于该模型计算了非热电塑性引起的显著流动应力降。
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引用次数: 0
Generalized multiscale homogenization approach to flexoelectric heterogeneous materials considering strain gradient contributions 考虑应变梯度贡献的挠曲电非均质材料的广义多尺度均匀化方法
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-03-01 Epub Date: 2025-10-29 DOI: 10.1016/j.euromechsol.2025.105938
David Guinovart , Mriganka Shekhar Chaki , Michele Serpilli
Flexoelectricity, the electromechanical coupling induced by strain gradients, has gained increasing attention due to its relevance in the design of nanoscale devices, sensors, and energy-harvesting systems. Accurate prediction of effective properties in flexoelectric composites is crucial for guiding materials design; however, most existing studies consider only the flexoelectric tensor while neglecting the combined role of higher-order couplings. In this work, we present a generalized methodology based on the two-scale asymptotic homogenization method to evaluate the effective behavior of flexoelectric materials. The proposed framework explicitly incorporates the contributions of the flexoelectric tensor μijkl, the strain-gradient elasticity tensor gijklmn, and the strain-gradient coupling tensor rijklm, allowing for a consistent treatment of higher-order interactions. As a particular case, explicit solutions are derived for stratified (multilayered) structures, which serve as a benchmark for more complex microstructures. Numerical examples illustrate the impact of microstructural symmetries, such as cubic, tetragonal, and isotropic arrangements, as well as the influence of the length-scale parameter and the constituent volume fractions on the effective tensors. The results demonstrate that second-order homogenization captures the interplay between microstructure, length scale, and electromechanical coupling, thereby providing a rigorous foundation for the design and optimization of advanced multifunctional materials.
柔性电是由应变梯度引起的机电耦合,由于其与纳米级器件、传感器和能量收集系统的设计相关而受到越来越多的关注。准确预测柔性电复合材料的有效性能是指导材料设计的关键;然而,现有的研究大多只考虑了挠性电张量,而忽略了高阶耦合的综合作用。在这项工作中,我们提出了一种基于双尺度渐近均匀化方法的广义方法来评估柔性电材料的有效行为。所提出的框架明确地结合了挠曲电张量μijkl、应变梯度弹性张量gijklmn和应变梯度耦合张量rijklm的贡献,允许对高阶相互作用进行一致的处理。作为一种特殊情况,我们推导出了分层(多层)结构的显式解,为更复杂的微观结构提供了基准。数值例子说明了微观结构对称性的影响,如立方、四方和各向同性排列,以及长度尺度参数和组成体积分数对有效张量的影响。结果表明,二阶均质化能够捕捉到微观结构、长度尺度和机电耦合之间的相互作用,从而为先进多功能材料的设计和优化提供了坚实的基础。
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引用次数: 0
A generalized layerwise normal–shear deformation theory (GL-NSDT) for multilayer foam-core sandwich beams 多层泡沫芯夹层梁的广义分层法向剪切变形理论
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-03-01 Epub Date: 2025-10-24 DOI: 10.1016/j.euromechsol.2025.105932
Zenggui Jin, Fengpeng Yang
Accurate modeling of foam-core sandwich beams is complicated by strong stiffness contrasts, geometric asymmetry, and the bimodular behavior of polymeric foams. Existing theories improve upon classical models but often exhibit interfacial stress discontinuities, high computational demand, or the inability to capture thickness-stretching effects. This work proposes a generalized layerwise normal–shear deformation theory (GL-NSDT) that overcomes these limitations. The framework (i) enforces interfacial shear-stress continuity, (ii) satisfies traction-free boundary conditions, (iii) incorporates foam bimodularity through a Heaviside-based constitutive law, and (iv) explicitly accounts for thickness stretching. Importantly, it reduces the number of kinematic unknowns from N+2 to only three generalized displacement variables, achieving near-3D accuracy while retaining the computational efficiency of equivalent single-layer theories. Validation through quasi-static three-point bending tests and detailed finite element simulations confirms the model’s accuracy. Across conventional, foam-only, and functionally graded PMI-core beams, GL-NSDT reliably reproduces global load–deflection behavior and local stress transfer, reducing stiffness prediction errors by nearly an order of magnitude relative to conventional HSDTs. These results establish GL-NSDT as an efficient and physically consistent analytical tool for the design and assessment of advanced sandwich structures with complex cores and material asymmetry.
泡沫芯夹层梁的精确建模是复杂的强刚度对比,几何不对称,以及聚合物泡沫的双模行为。现有的理论改进了经典模型,但往往表现出界面应力不连续,高计算需求,或无法捕捉厚度拉伸效应。这项工作提出了一个广义的分层法向剪切变形理论(GL-NSDT),克服了这些局限性。该框架(i)加强界面剪切应力连续性,(ii)满足无牵引力边界条件,(iii)通过基于heaviside的本构律结合泡沫双模性,(iv)明确考虑厚度拉伸。重要的是,它将运动学未知数的数量从N+2减少到只有三个广义位移变量,在保持等效单层理论的计算效率的同时,实现了接近3d的精度。通过准静态三点弯曲试验和详细的有限元仿真验证了模型的准确性。在传统、纯泡沫和功能分级的pmi核心梁中,GL-NSDT可靠地再现了整体载荷-挠度行为和局部应力传递,相对于传统hsdt,将刚度预测误差降低了近一个数量级。这些结果表明,GL-NSDT是设计和评估具有复杂岩心和材料不对称的先进夹层结构的有效和物理一致的分析工具。
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引用次数: 0
Micromechanobiology: A micromechanics approach to mechanobiology 微力学生物学:力学生物学的微力学方法
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-03-01 Epub Date: 2025-09-27 DOI: 10.1016/j.euromechsol.2025.105893
Patrick R. Onck, Erik Van der Giessen
The thrust of this article is to postulate a possible route along the micro-meso-macro lines of micromechanics to contribute to the vibrant field of mechanobiology. In particular, we focus on mechanotransduction: the machinery by which cells adapt to their environment and how its failure is key to many diseases, including cancer. Starting out from the geometrical similarity with open-cell foams, for which the micro-meso-macro transition is well developed, this paper summarizes the current understanding of the mechanical behavior of biopolymer networks as central entities in mechanotransduction. More specifically, we address the dynamics of molecular networks in the nuclear membrane, filamentous networks in the cytoskeleton, as well as networks making up the extracellular matrix. We emphasize that the enhanced richness in behavior of these networks originates from the relatively large contribution of entropy. We also identify a number of challenges arising from the fact that the materials involved are intrinsically dynamic and active. The development of tools needed to address these challenges has just started and thus offers a bright future for current and new generations of micromechanicians.
本文的主旨是沿着微力学的微-中观-宏观路线提出一条可能的路线,为充满活力的力学生物学领域做出贡献。我们特别关注机械转导:细胞适应环境的机制,以及它的失败如何成为包括癌症在内的许多疾病的关键。本文从其与开孔泡沫的几何相似性出发,总结了目前对生物聚合物网络作为力学转导中心实体的力学行为的理解。更具体地说,我们讨论了核膜中的分子网络动力学,细胞骨架中的丝状网络,以及构成细胞外基质的网络。我们强调,这些网络的行为丰富度的增强源于熵的相对较大的贡献。我们还确定了由于所涉及的材料本质上是动态和活跃的这一事实而产生的一些挑战。解决这些挑战所需工具的开发才刚刚开始,因此为当前和新一代的微机械师提供了光明的未来。
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引用次数: 0
Finite element modeling for cohesive failure of adhesive structures: Hydrostatic stress dependence 黏附结构内聚破坏的有限元模拟:静水应力依赖
IF 4.2 2区 工程技术 Q1 MECHANICS Pub Date : 2026-03-01 Epub Date: 2025-10-20 DOI: 10.1016/j.euromechsol.2025.105920
Yamato Hoshikawa , Yoshiaki Kawagoe , Kazuki Ryuzono , Tomonaga Okabe
In recent aircraft development, the demand for adhesive joints using thermosetting adhesives has increased, highlighting the need for improved strength prediction techniques. Most conventional approaches are based on the Cohesive Zone Model (CZM); however, few studies have considered the effects of triaxial stress. This paper proposes a Smeared Crack Model (SCM) that incorporates a strength criterion under plastic deformation and multiaxial stress. The model employs a failure criterion based on hydrostatic and von Mises stresses, and utilizes a damage evolution approach similar to that of CZM. In addition, a modified Ma-Kishimoto (MMK) model was investigated, in which the adhesive layer is represented by interface elements. This model introduces a parameter identification method that accounts for energy dissipation due to plasticity and the influence of triaxial deformation. To validate the proposed method, single-lap shear (SLS) tests were conducted using unidirectional CFRP bonded with a thermosetting adhesive film. The results predicted by both approaches reproduced the experimental SLS results. Sensitivity analysis revealed that incorporating triaxial deformation in Mode I improved prediction accuracy. Furthermore, when the Mode I interfacial stiffness estimated using the MMK model was applied to CZM, similar improvements were observed. These findings indicate that triaxial stress in Mode I increases the apparent interfacial stiffness, enabling a more accurate representation of stress concentration in the adhesive layer.
在最近的飞机发展中,对使用热固性粘合剂的粘合接头的需求增加了,这突出了对改进强度预测技术的需求。大多数传统的方法是基于内聚区模型(CZM);然而,很少有研究考虑到三轴应力的影响。本文提出了一种包含塑性变形和多轴应力作用下强度准则的涂抹裂纹模型。该模型采用了基于流体静力和von Mises应力的破坏准则,并采用了类似于CZM的损伤演化方法。此外,研究了一种改进的Ma-Kishimoto (MMK)模型,该模型采用界面元素来表示粘接层。该模型引入了一种考虑塑性耗散和三轴变形影响的参数辨识方法。为了验证所提出的方法,使用单向CFRP与热固性胶膜粘合进行了单搭剪(SLS)试验。两种方法的预测结果均与SLS实验结果吻合。敏感性分析表明,在模式一中加入三轴变形可以提高预测精度。此外,当使用MMK模型估计的I型界面刚度应用于CZM时,观察到类似的改善。这些发现表明,模式I下的三轴应力增加了界面表观刚度,从而能够更准确地表示粘接层中的应力集中。
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引用次数: 0
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European Journal of Mechanics A-Solids
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