Forces in mechanics最新文献_第2页

Tensegrity metamaterial-based shear band structure for non-pneumatic tires 非充气轮胎用张拉整体超材料剪切带结构

IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Forces in mechanics

Pub Date : 2025-12-01 DOI: 10.1016/j.finmec.2025.100341

Yuling Wei , Fei Pan , Jintao Du , Jinwu Xiang , Yuli Chen

Non-pneumatic tires (NPTs) represent a revolutionary advancement in the tire industry, owing to their puncture-proof nature and high design flexibility. To achieve both high load-bearing capability and low, evenly distributed ground pressure, the shear band structure of NPTs must balance high compressive stiffness with shear flexibility. To address this challenge, this work proposes a novel shear band structure based on tensegrity metamaterials. By adjusting the stiffness of two types of springs, the proposed shear band enables independent control of its compressive and shear stiffness. The shear band is subsequently integrated with various types of spokes, and the effects of multiple design parameters on the tire’s load-bearing capacity, peak material stress, and contact pressure are systematically analyzed. To achieve performance customization, a Bayesian optimization framework is developed to autonomously explore parameter sets that satisfy performance requirements while minimizing stress and contact pressure. Finally, the feasibility of the tensegrity metamaterial-based shear band design is validated through its successful integration into a four-wheel-drive vehicle model. The proposed shear band offers a new approach for the customized performance and practical application of NPTs.

非充气轮胎（NPTs）代表了轮胎行业的革命性进步，由于其防刺的性质和高度的设计灵活性。为了实现高承载能力和低且均匀分布的地压，核反应堆的剪切带结构必须在高抗压刚度和剪切柔度之间取得平衡。为了解决这一挑战，本工作提出了一种基于张拉整体超材料的新型剪切带结构。通过调整两种类型弹簧的刚度，所提出的剪切带可以独立控制其压缩和剪切刚度。随后将剪切带与各种类型的辐条集成，系统分析了多种设计参数对轮胎承载能力、峰值材料应力和接触压力的影响。为了实现性能定制，开发了一个贝叶斯优化框架，以自主探索满足性能要求的参数集，同时最小化应力和接触压力。最后，通过将张拉整体超材料剪切带设计成功集成到四轮驱动汽车模型中，验证了该设计的可行性。所提出的剪切带为npt的定制化性能和实际应用提供了新的途径。

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引用次数: 0

A general mechanical formulation of two-dimensional bristle friction models with a focus on the LuGre model and its dynamics 一个二维猪鬃摩擦模型的一般力学公式，重点是LuGre模型及其动力学

IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Forces in mechanics

Pub Date : 2025-11-14 DOI: 10.1016/j.finmec.2025.100340

Kai Pfitzer , Lucas Rath , Sebastian Kolmeder , Burkhard Corves , Günther Prokop

Friction is an important phenomenon in the modeling of mechanical systems. To represent the dynamic properties of friction, bristle models such as the LuGre model are used mostly in the one-dimensional case. Since friction is a nonlinear phenomenon and the respective frictional degrees of freedom influence each other, independent modeling in the spatial dimensions is physically inadmissible. The two-dimensional description of friction in bristle models proves to be complex and has already been considered in some works, but without intuitive illustration and interpretation. In this paper, an intuitive derivation of the general bristle friction model is presented, summarizing validated existing model derivations. In addition, a geometric interpretation is given using a proposed mechanical equivalence model. Subsequently, all model parameters are discussed, which highlights the potential for extensions and the benefits of flexible parametrization. Based on the general form of the bristle friction model, the special case of the two-dimensional LuGre model is derived. Furthermore, the derived two-dimensional LuGre model is applied in a simple, two-dimensional friction system and the static and dynamic properties are visualized and discussed.

摩擦是机械系统建模中的一个重要现象。为了表示摩擦的动态特性，在一维情况下多采用LuGre模型等刚毛模型。由于摩擦是一种非线性现象，并且各个摩擦自由度相互影响，因此在空间维度上的独立建模在物理上是不可接受的。猪鬃模型中摩擦的二维描述是复杂的，已经在一些作品中得到了考虑，但没有直观的说明和解释。本文在总结已有验证模型推导的基础上，提出了通用猪鬃摩擦模型的直观推导方法。此外，利用提出的力学等效模型给出了几何解释。随后，讨论了所有模型参数，强调了扩展的潜力和灵活参数化的好处。基于刚毛摩擦模型的一般形式，推导了二维LuGre模型的特殊情况。此外，将导出的二维LuGre模型应用于一个简单的二维摩擦系统，并对其静态和动态特性进行了可视化和讨论。

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引用次数: 0

Failure mode analysis of cylindrical sandwich shells with truss core considering shell/core debonding under bending/compressive loading 考虑筒芯脱落的桁架夹层筒壳在弯曲/压缩载荷下的破坏模式分析

IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Forces in mechanics

Pub Date : 2025-11-04 DOI: 10.1016/j.finmec.2025.100339

Mohammad Javad Zarei , Shahabeddin Hatami , Mojtaba Gorji Azandariani , Mohammad Gholami

The gap in the literature lies in the limited understanding of the mechanical behavior of cylindrical sandwich shells with truss cores (CSSTC), particularly under uniaxial compression and bending loads, and the critical role of shell/core debonding. This study presents a novel finite element-based investigation into the failure mechanisms of cylindrical sandwich shells with truss cores (CSSTCs), emphasizing shell/core debonding under combined bending and compressive loads. Unlike previous studies that commonly assume perfect bonding, this research introduces an innovative adhesive layer between the face sheets and the core, modeled using a cohesive surface contact approach to capture debonding initiation and progression. The novelty of this work lies in systematically evaluating how adhesive stiffness influences critical loads, buckling behavior, and overall structural integrity, offering a realistic simulation of partial bonding conditions. This study numerically investigates the bending and compressive failure modes of cylindrical sandwich shells with truss cores (CSSTCs), considering shell/core debonding. Finite element simulations using ABAQUS software were conducted to analyze buckling modes and critical damage forces. Key factors such as element shape and meshing techniques were evaluated to ensure accurate modeling. A novel method was developed to enhance critical load capacity by integrating an innovative adhesive layer between the cylindrical shells (CSs) and the core, aiming to achieve structural robustness comparable to fully bonded configurations. Aluminum was used as the core and face sheet material in the detailed modeling of sandwich structures. The study employed cohesive surface contact to simulate debonding in the numerical models. Mesh convergence analysis demonstrated the significant influence of mesh orientation and element shape on modeling accuracy and convergence rates. Numerical results revealed buckling modes and critical loads for cylindrical shells and sandwich structures under various loading conditions. Furthermore, the study examined the effect of adhesive stiffness on critical moments during pure bending, highlighting its crucial role in structural performance.

文献的空白在于对带桁架芯柱夹层壳（CSSTC）的力学行为，特别是在单轴压缩和弯曲载荷下的力学行为，以及壳/芯脱粘的关键作用的理解有限。本文提出了一种基于有限元的新型桁架芯柱夹层壳破坏机制研究方法，重点研究了在弯曲和压缩联合载荷作用下的壳/芯剥离。与以往通常假设完美粘合的研究不同，本研究在面片和核心之间引入了一种创新的粘合层，使用内聚表面接触方法进行建模，以捕捉脱粘的开始和进展。这项工作的新颖之处在于系统地评估粘接刚度如何影响临界载荷、屈曲行为和整体结构完整性，提供了部分粘接条件的真实模拟。本文对考虑壳芯脱粘的带桁架芯柱夹层壳的弯曲和压缩破坏模式进行了数值研究。利用ABAQUS软件进行了有限元仿真，分析了屈曲模态和临界损伤力。对元件形状和网格划分技术等关键因素进行了评估，以确保建模的准确性。开发了一种新的方法，通过在圆柱壳（CSs）和核心之间集成创新的粘合层来提高临界载荷能力，旨在实现与完全粘合配置相当的结构坚固性。采用铝作为芯材和面板材料对夹层结构进行了详细建模。在数值模型中采用粘接表面接触模拟脱粘。网格收敛分析表明，网格方向和单元形状对建模精度和收敛速度有显著影响。数值结果揭示了圆柱壳和夹层结构在不同载荷条件下的屈曲模式和临界载荷。此外，研究考察了粘接刚度对纯弯曲过程中关键时刻的影响，强调了其在结构性能中的关键作用。

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引用次数: 0

A large-deformation mechanical-thermal-chemical coupling model for thermal barrier coatings incorporating strain gradient effects 考虑应变梯度效应的热障涂层大变形力学-热-化学耦合模型

IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Forces in mechanics

Pub Date : 2025-10-24 DOI: 10.1016/j.finmec.2025.100338

Xuefei Ma , Qianqian Zhou , Li Yang , Yichun Zhou

The growth of the thermally grown oxide (TGO), formed during the oxidation of thermal barrier coatings (TBCs) in advanced gas turbine engines, exhibits a pronounced size effect as the thickness approaches its grain size. Addressing the gap in current coupling theories for capturing scale-dependent oxidation behavior, this study further develops an enhanced theoretical framework that integrates large deformation mechanical-thermal-chemical coupling, incorporating strain gradient effects. By utilizing the Green strain as an independent field variable, numerical solutions were obtained using a mixed finite element method. The growth kinetics of the TGO are investigated under isothermal conditions. Numerical results indicate that the strain gradient effect increases the compressive stress within the TGO growth region by 77.8 % and promotes a more uniform stress distribution with increasing scale parameters. Consequently, the growth rate and non-uniform expansion of the TGO are substantially mitigated, as the stress-induced inhibition effect is more effectively utilized. With suppressed non-uniform expansion of the TGO, the susceptibility of the coating to surface wrinkling diminishes with larger scale parameters. This research is instrumental in elucidating the oxidation dynamics of TBCs.

热生长氧化物（TGO）是在先进燃气涡轮发动机热障涂层（tbc）氧化过程中形成的，当厚度接近其晶粒尺寸时，TGO的生长表现出明显的尺寸效应。为了解决当前耦合理论在捕获尺度依赖氧化行为方面的空白，本研究进一步发展了一个增强的理论框架，该框架集成了大变形的机械-热-化学耦合，并结合了应变梯度效应。以格林应变为独立场变量，采用混合有限元法得到数值解。研究了等温条件下TGO的生长动力学。数值结果表明，应变梯度效应使TGO生长区内的压应力增加了77.8%，并且随着尺度参数的增加，应力分布更加均匀。因此，由于应力诱导的抑制效应得到了更有效的利用，TGO的生长速度和不均匀膨胀得到了很大的缓解。随着TGO的非均匀膨胀受到抑制，涂层对表面起皱的敏感性随着尺度参数的增大而减小。本研究有助于阐明tbc的氧化动力学。

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引用次数: 0

Elastic-damage characterization of fibre-bundle lamina of CFRP composite through 3D digital image correlation and finite element method 基于三维数字图像相关和有限元法的CFRP复合材料纤维束层弹性损伤表征

IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Forces in mechanics

Pub Date : 2025-10-21 DOI: 10.1016/j.finmec.2025.100337

S․ S. R․ Koloor , A. Farokhi Nejad , N. Yidris , S.M. Sapuan , M.R. Abdullah , M.N. Tamin

Carbon fibers’ exceptional mechanical properties make them the major load-bearing component of CFRP composites, which are rapidly being used in modern aerospace applications. Design of multi-directionally (MD) laminated composite structures for specific operational load requires the exact determination and force analysis of 0°-laminas and their arrangement in the lamina assembly process. The significant property variation between carbon fibers and matrix components indicates that the mechanical behavior of the 0°-laminas is attributed largely to the fiber-bundle at the mesoscale. The elastic properties of fiber have been obtained through standard tests, however, many challenges are encountered in the characterization of fiber damage and fracture processes. In this research, a new experiment is introduced where tensile tests are performed on single edge-notch 0°-CFRP composite monitored by 3D digital image correlation (DIC), to demonstrate the mechanism of deformation and failure and determine the exact elastic-damage properties. A hybrid experimental-computational approach is developed where finite element models representing the experiment, are used to obtain and validate the damage evolution characteristics of fibers in CFRP lamina. In addition, test and simulation results are utilized to describe the mechanism and mechanics of deformation and damage of the composite structure.

碳纤维优异的机械性能使其成为CFRP复合材料的主要承重成分，在现代航空航天应用中得到迅速应用。针对特定工作载荷设计多向层压复合材料结构，需要对0°-层板进行精确的确定和受力分析，并在层板组装过程中对其进行布置。碳纤维和基体组分之间的显著性能差异表明，0°-层板的力学行为主要归因于纤维束在中尺度上的作用。纤维的弹性性能已经通过标准试验得到，但在纤维损伤和断裂过程的表征中遇到了许多挑战。本文采用三维数字图像相关（DIC）技术对0°-CFRP复合材料进行了拉伸试验，验证了0°-CFRP复合材料的变形破坏机理，并确定了其准确的弹性损伤特性。提出了一种实验与计算相结合的方法，利用代表实验的有限元模型，获得并验证了碳纤维复合材料层中纤维的损伤演化特征。此外，利用试验和模拟结果描述了复合材料结构变形和损伤的机理和力学特性。

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引用次数: 0

Nonlinear thermo-mechanical coupling behaviours and damage mechanisms of 3D braided composites subjected to longitudinal and transverse tensile at room and elevated temperatures 室温和高温下纵向和横向拉伸三维编织复合材料的非线性热-力耦合行为和损伤机制

IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Forces in mechanics

Pub Date : 2025-10-05 DOI: 10.1016/j.finmec.2025.100336

Dong Li, Jun-Jiang Xiong

This paper examines thermo-mechanical coupling behaviours and damage mechanisms of 3D4D (three-dimensional four-directional) braided composites subjected to longitudinal and transverse tensile at room and elevated temperatures. New nonlinear constitution model of 3D braided composites is derived in consideration of thermo-mechanical coupling effect, non-linear shear constitutive relationship of fibre yarn and elastoplastic deformation characteristics of matrix, and novel mixed criterion is then presented based on von-Mises rule, 3D Hashin criterion, B-K energy and quads damage model. After this, an improved progressive damage algorithm is devised for modelling progressive thermo-mechanical coupling damage process of 3D braided composites. Quasi-static longitudinal and transverse tensile tests are respectively performed on 3D4D braided composites at RT (room temperature) and 85

^{\circ} C

, and nonlinear thermo-mechanical coupling behaviours are analyzed and discussed from experiment results. In order to verify the model and algorithm mentioned previously, a high-fidelity full-scale mesoscale finite element (HFFSMFE) model is generated and integrated with improved algorithm for modelling progressive damage process of 3D4D braided composites subjected to longitudinal and transverse tensile at both temperatures, and numerical predictions agree well with experimental findings, demonstrating the apt and effective usage of new model proposed in the paper.

本文研究了三维四向编织复合材料在室温和高温下纵向和横向拉伸的热-力耦合行为和损伤机制。考虑了热机耦合效应、纤维纱线的非线性剪切本构关系和基体的弹塑性变形特性，建立了三维编织复合材料的非线性本构模型，并提出了基于von-Mises规则、三维哈辛准则、B-K能量和四元损伤模型的混合准则。在此基础上，设计了一种改进的渐进损伤算法，用于模拟三维编织复合材料的热-力耦合渐进损伤过程。分别在RT（室温）和85°C下对3D4D编织复合材料进行了准静态纵向和横向拉伸试验，并从实验结果分析和讨论了非线性热-力耦合行为。为了验证上述模型和算法，建立了高保真的全尺寸中尺度有限元（HFFSMFE）模型，并将其与改进算法相结合，对两种温度下纵向和横向拉伸的3D4D编织复合材料的渐进损伤过程进行了模拟，数值预测与实验结果吻合较好，证明了本文提出的新模型的适用性和有效性。

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引用次数: 0

Impact dynamics of mechanical metamaterials: A short review and perspective 机械超材料的冲击动力学：综述与展望

IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Forces in mechanics

Pub Date : 2025-10-03 DOI: 10.1016/j.finmec.2025.100335

Chuanqing Chen , Yulong He , Yuli Chen , Guoxing Lu , Ming-Hui Lu , Xin Li

Mechanical metamaterials, with their unique properties, have been increasingly investigated as lightweight, high‑strength impact‑resistant solutions for aerospace, military, transportation, and biomedical applications. In this paper, recent advanced studies in mechanical metamaterials under impact loads are briefly reviewed. On the basis of structural form, four primary types of metamaterials are categorized: mass-spring system, rod/beam-based, plate/shell-based and other specialized types of metamaterials. Additionally, their intended energy-absorption mechanisms and loading-rate‑dependent mechanical responses are discussed. Finally, potential future research directions are proposed, including studies of strain rate and inertial effects, stress wave propagation, localized impact, size effect and multi-scale effect, multifunctional design and AI-assisted on-demand design. This paper highlights key strategies and areas for innovation in the development of next-generation impact-resistant mechanical metamaterials.

机械超材料以其独特的性能，作为航空航天、军事、运输和生物医学应用的轻质、高强度抗冲击解决方案，得到了越来越多的研究。本文综述了近年来在冲击载荷作用下机械超材料的研究进展。根据结构形式，可将四种主要类型的超材料分类为：质量-弹簧系统、杆/梁型、板/壳型和其他特殊类型的超材料。此外，他们预期的能量吸收机制和加载速率相关的力学响应进行了讨论。最后，提出了未来可能的研究方向，包括应变速率与惯性效应、应力波传播、局部冲击、尺寸效应与多尺度效应、多功能设计、人工智能辅助按需设计等。本文重点介绍了下一代抗冲击机械超材料发展的关键策略和创新领域。

引用次数: 0

Axially crashworthy performance of thin-walled tubes with various configurations under the same scale 相同尺度下不同结构薄壁管的轴向耐撞性能

IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Forces in mechanics

Pub Date : 2025-09-27 DOI: 10.1016/j.finmec.2025.100334

Qingliang Zeng , Zhaoji Li , Peng Liu , Naihao Gong , Lirong Wan

Thin-walled tubes with various design strategies as energy absorbers have been widely proposed and applied in the engineering fields. However, the comparison of the crashworthy performance of tubes with various cross-sectional topologies under axial compression remains scarce. In this paper, twelve types of thin-walled tubes (e.g., single-celled, bi-tubular and hierarchical square, hexagonal and circular tubes), which have the identical material, height, apparent area and mass, have been fairly compared. Validation is accomplished through axial quasi-static crushing tests, ensuring the accuracy of the finite element models. The crushing behaviors of all tubes studied are investigated using six crashworthiness indicators. The results show that thin-walled tubes with hierarchical features primarily deform in the preferrable stable deformation mode, with more lobes and higher energy dissipation. Then, hierarchical features can reduce the fluctuations and enhance the load-carrying capacity. In addition, the mean crushing force (MCF) and specific energy absorption (SEA) of bi-tubular tubes also do not increase significantly compared with single-celled tubes. Specifically, the increases in SEA from square tubes to circular tubes for single-celled, bi-tubular and edge-based hierarchical are 65.4 %, 75.0 % and 49.6 %, respectively. Furthermore, all tubes studied are comprehensively evaluated by applying the technique for order preference by similarity to an ideal solution (TOPSIS) method. Considering the effect of dimension, four non-dimensional indicators are selected, namely ESR, EEA, CFE and ULC. EH_C has the best overall performance among all the tubes studied.

薄壁管作为吸能器，其设计策略多种多样，已被广泛提出并应用于工程领域。然而，对不同截面拓扑结构的管材在轴压作用下的耐撞性能的比较研究仍然很少。本文对具有相同材料、高度、表观面积和质量的12种薄壁管（如单细胞、双管和分层方形、六角形和圆形管）进行了比较。通过轴向准静态破碎试验进行验证，保证了有限元模型的准确性。采用6项耐撞性指标对所研究管的破碎性能进行了研究。结果表明：具有分层特征的薄壁管主要以较优的稳定变形模式进行变形，其叶片较多，能量耗散较高；然后，分层特征可以减少波动，提高承载能力。此外，与单细胞管相比，双管的平均破碎力（MCF）和比能吸收（SEA）也没有显著增加。具体来说，对于单细胞、双管和边缘分层，从方形管到圆形管的SEA分别增加了65.4%、75.0%和49.6%。此外，通过应用与理想溶液（TOPSIS）方法相似的顺序偏好技术，对所研究的所有管进行了全面评估。考虑到维度的影响，我们选择了4个无维度指标，分别是ESR、EEA、CFE和ULC。EH_C在所有被研究的管中具有最好的综合性能。

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引用次数: 0

Simplified numerical modeling with experimental validation of molten pool geometry in laser welding 激光焊接熔池几何形状的简化数值模拟与实验验证

IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Forces in mechanics

Pub Date : 2025-09-25 DOI: 10.1016/j.finmec.2025.100333

Mahdi Ghamari , Pouria Oliazadeh , Mohammad Hossein Farshidianfar

Laser welding is widely adopted for its high speed, precision, and automation capabilities, delivering superior microstructural properties in material joining. However, suboptimal welding parameters can cause defects, necessitating accurate and computationally efficient simulation models. This study introduces a novel simplified numerical model for laser welding that optimizes the prediction of molten pool geometry while minimizing computational cost. By integrating a phase-change model with a calibrated Gaussian heat source, the approach balances accuracy and efficiency, addressing the limitations of complex fluid dynamics models and oversimplified temperature-based simulations. The model was validated against seven experimental cases involving Ti6Al4V and stainless steel 316 L, achieving zero error in melt pool depth prediction and maximum errors in top and bottom widths of <0.2 mm. This computationally efficient model enables rapid parameter optimization, making it ideal for large-scale industrial applications, including residual stress and distortion analysis. By offering a practical alternative to high-cost simulations, this work advances laser welding simulation for precision manufacturing and supports broader adoption in industries such as automotive and railway.

激光焊接以其高速度、高精度和自动化的特点，在材料连接中具有优异的微结构性能而被广泛采用。然而，次优焊接参数可能导致缺陷，因此需要精确且计算效率高的仿真模型。本文介绍了一种新型的激光焊接简化数值模型，该模型在最小化计算成本的同时优化了熔池几何形状的预测。通过将相变模型与校准的高斯热源集成，该方法平衡了精度和效率，解决了复杂流体动力学模型和过于简化的基于温度的模拟的局限性。通过7个涉及Ti6Al4V和316 L不锈钢的实验案例对模型进行了验证，熔池深度预测误差为零，上下宽度最大误差为0.2 mm。这种计算效率高的模型可以快速优化参数，使其成为大规模工业应用的理想选择，包括残余应力和变形分析。通过提供高成本模拟的实用替代方案，这项工作推进了精密制造的激光焊接模拟，并支持在汽车和铁路等行业的更广泛采用。

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引用次数: 0

Effect of stress state on the fracture behavior of Al6061-T6 via combined experimental and numerical approaches 试验与数值结合研究应力状态对Al6061-T6断裂行为的影响

IF 3.5 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY

Forces in mechanics

Pub Date : 2025-09-23 DOI: 10.1016/j.finmec.2025.100332

Mohsen Mansouri, Mehdi Ganjiani

This study presents an experimental and numerical investigation into the influence of stress triaxiality, Lode angle parameter, and ductile fracture behavior in Al 6061-T6 aluminum alloy. To explore negative stress triaxiality conditions, uniaxial tensile and compressive tests were conducted on geometrically tailored specimens, including dumbbell-shaped and rectangular samples with elliptical curved holes. Negative triaxiality values ranging from –0.355 to –0.554 were successfully achieved. A hybrid experimental–numerical approach was adopted to characterize the fracture behavior. In the numerical approach, the Ganjiani fracture model incorporating damage parameters, was implemented in finite element simulations using Abaqus via custom VUHARD and VUSDFLD subroutines. Comparative analysis of experimental and numerical results revealed good agreement in fracture strain predictions. Numerical evaluations indicated that the fracture occurs at the site where maximum plastic strain is observed. The results confirm that stress triaxiality significantly influences ductile fracture, and notably, the variation in fracture strain exhibits different trends under positive and negative triaxiality conditions.

本文对应力三轴性、Lode角参数对Al 6061-T6铝合金韧性断裂行为的影响进行了实验和数值研究。为探索负应力三轴性条件，对几何定制的哑铃形和椭圆形弯曲孔矩形试样进行单轴拉伸和压缩试验。成功地获得了负三轴性值，范围从-0.355到-0.554。采用实验-数值混合方法对断裂行为进行表征。在数值方法中，采用Abaqus，通过自定义的VUHARD和VUSDFLD子程序实现了包含损伤参数的Ganjiani断裂模型的有限元模拟。实验结果与数值结果的对比分析表明，断裂应变预测结果吻合较好。数值计算表明，断裂发生在塑性应变最大的部位。结果表明，应力三轴性对韧性断裂有显著影响，且在正、负三轴性条件下，断裂应变的变化趋势不同。

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引用次数: 0