International Journal of Plasticity最新文献_第10页

Dynamic mechanical response and constitutive model of tungsten-particle-reinforced Zr-based bulk-metallic-glass composites 钨颗粒增强zr基大块金属-玻璃复合材料的动态力学响应及本构模型

IF 12.8 1区材料科学 Q1 ENGINEERING, MECHANICAL

International Journal of Plasticity

Pub Date : 2025-12-01 Epub Date: 2025-10-21 DOI: 10.1016/j.ijplas.2025.104509

Yunfei Ma , Pan Gong , Mao Zhang , Binghui Deng , Maojun Li , Changqing Sun , Dabo Liu , Fei Hu , Xuxiao Yang , Xinyun Wang

Achieving both high strength and sufficient plasticity in metallic materials under dynamic loading remains a longstanding challenge. In this study, tungsten-particle-reinforced bulk metallic glass composites (W_p/BMGCs) were fabricated via spark plasma sintering (SPS), and their dynamic compressive mechanical properties were systematically investigated at high strain rates (10³ ∼ 5 × 10³ s⁻¹). The results show that W_p/BMGCs exhibit outstanding dynamic performance, with a yield strength of 4000 MPa, a plastic strain of 12 %, and positive strain rate sensitivity. This enhanced behavior originates from interfacial strain gradients generated by the inherent elastic modulus mismatch between W_p and the metallic glass matrix, which induce the accumulation of geometrically necessary dislocations (GNDs) within the W_p. Under dynamic loading, the dislocation-free, high shear-strength metallic glass matrix exerts a back-stress on dislocations in adjacent W_p, thereby impeding dislocation glide and enhancing the apparent deformation resistance of the W_p phase. Additionally, W_p effectively suppress catastrophic shear band propagation while promoting the nucleation and proliferation of multiple secondary shear bands in the matrix. This dual mechanism significantly improves phase-coordinated deformation, ultimately contributing to the superior yield strength and plastic strain. Based on these insights, a dislocation-based strengthening mechanism was incorporated into the Johnson-Cook constitutive model. The modified framework accurately captures the effects of particle size and volume fraction on the dynamic response, showing strong agreement with experimental results.

金属材料在动载荷下实现高强度和足够塑性是一个长期的挑战。本研究通过火花等离子烧结（SPS）制备了钨颗粒增强大块金属玻璃复合材料（Wp/BMGCs），并系统地研究了其在高应变速率（10³~ 5 × 10³s⁻¹）下的动态压缩力学性能。结果表明，Wp/BMGCs具有优异的动态性能，屈服强度达4000 MPa，塑性应变为12%，应变率敏感性为正。这种增强的行为源于Wp与金属玻璃基体之间固有弹性模量不匹配所产生的界面应变梯度，这导致了Wp内部几何必要位错（GNDs）的积累。在动载荷作用下，无位错的高剪切强度金属玻璃基体对相邻Wp中的位错施加背应力，从而阻碍位错滑动，增强Wp相的表观抗变形能力。此外，Wp有效抑制了突变剪切带的扩展，同时促进了基体中多个次级剪切带的形核和增殖。这种双重机制显著改善了相协调变形，最终提高了屈服强度和塑性应变。基于这些见解，基于位错的强化机制被纳入Johnson-Cook本构模型。修正后的框架准确地反映了粒径和体积分数对动态响应的影响，与实验结果吻合较好。

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引用次数: 0

Modeling framework and discussion of microstructural effects on the formation of Cu–Cu bonding interfaces in semiconductor stacking 半导体叠层中Cu-Cu键合界面形成的微观结构影响的建模框架和讨论

IF 12.8 1区材料科学 Q1 ENGINEERING, MECHANICAL

International Journal of Plasticity

Pub Date : 2025-12-01 Epub Date: 2025-10-10 DOI: 10.1016/j.ijplas.2025.104501

Jae-Uk Lee , Hyun-Dong Lee , Sung-Hyun Oh , Young-Dae Shim , Sukkyung Kang , Sanha Kim , Hoo-Jeong Lee , Eun-Ho Lee

As computational costs increase with the increasing use of artificial intelligence, improving the performance and efficiency of semiconductor systems has become an unavoidable challenge. Bumpless bonding is considered an emerging technology for semiconductor stacking to increase input/output density. Some studies have aimed at precisely controlling the bonding temperature and pressure to achieve a reliable Cu–Cu bonding interface. Nevertheless, considerable variations in the interface have been observed, even under identical conditions, which are attributed to the influence of the Cu microstructure. Controlling the microstructure of Cu during bonding still faces many technical challenges, and insufficient research has been conducted. Although some experimental studies exist, they have not fully analyzed the complete mechanism of the microstructural effect, and studies on numerical analysis are lacking. This study developed a modeling framework and simulated the behavior occurring in Cu–Cu bonding by considering microstructural effects. To achieve this, the microstructural vector theory has been extended to consider the distortion of the atomic lattice caused by atomic flux and slip. The model was then implemented using the finite element method (FEM) through the ABAQUS user-defined material subroutine (UMAT). The numerical analysis results showed that the voids at the interface are more significantly affected by pressure than by temperature, and the combination of grains at the interface has a significant impact on interface formation. These simulation results were first used to mechanically analyze and discuss the experimental observations previously reported for Cu–Cu bonding. Furthermore, additional experiments and inverse pole figure (IPF) observations of the Cu–Cu bonding interface were conducted, and the results were found to be consistent with the trends predicted by the model. The research findings demonstrate that the microstructure has a significant impact on the bonding interface formation and confirm the potential for controlling the bonding interface through microstructural control.

随着人工智能应用的日益广泛，计算成本的不断增加，提高半导体系统的性能和效率已成为一个不可避免的挑战。无凹凸键合被认为是一种新兴的半导体堆叠技术，以提高输入/输出密度。一些研究旨在精确控制键合温度和压力，以实现可靠的Cu-Cu键合界面。然而，即使在相同的条件下，也观察到界面的相当大的变化，这是由于Cu微观结构的影响。控制铜在键合过程中的微观结构仍然面临许多技术挑战，研究不足。虽然有一些实验研究，但没有充分分析微观结构效应的完整机理，也缺乏数值分析的研究。本研究建立了一个模型框架，并考虑了微观结构效应，模拟了Cu-Cu键合过程中的行为。为了实现这一目标，将微观结构矢量理论扩展到考虑原子通量和滑移引起的原子晶格畸变。然后通过ABAQUS用户自定义材料子程序（UMAT）使用有限元法（FEM）实现模型。数值分析结果表明，压力对界面孔洞的影响比对温度的影响更为显著，界面处晶粒的结合对界面形成有显著影响。这些模拟结果首先用于力学分析和讨论先前报道的Cu-Cu键合的实验观察结果。此外，还对Cu-Cu键合界面进行了实验和逆极图（IPF）观测，结果与模型预测的趋势一致。研究结果表明，微观结构对键合界面的形成有重要影响，并证实了通过微观结构控制来控制键合界面的可能性。

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引用次数: 0

Insight into the transition from diffuse microcracking to localized macrocracking in saturated quasi-brittle media: Micro-poromechanics-based approach and analytical solutions 饱和准脆性介质中从扩散微裂纹到局部宏观裂纹的转变：基于微孔隙力学的方法和解析解

IF 12.8 1区材料科学 Q1 ENGINEERING, MECHANICAL

International Journal of Plasticity

Pub Date : 2025-12-01 Epub Date: 2025-10-18 DOI: 10.1016/j.ijplas.2025.104508

Lunyang Zhao , Linghui Liu , Yuanming Lai , Qizhi Zhu , Jianfu Shao

In this paper, a new micro-poromechanics-based approach is developed for modeling progressive failure process in saturated quasi-brittle media (SQBM) under compression-dominating stresses. The emphasis is put on the transition from diffuse microcracking to localized macrocracking by incorporating poromechanical interaction. A micro-poromechanical model is first established for the description of diffuse damage and frictional sliding of microcracks by combining linear homogenization and irreversible thermodynamics. In particular, the concept of effective stress in the context of damage mechanics is revisited. The role of fluid pressure in cracking process is clarified. The onset of localized macrocracking is then described as stemming from the coalescence of microcracks when the diffuse damage density parameter reaches a critical value. After that transition point, the dissipation process in the SQBM is primarily attributed to the evolution of localized cracks. Within this frame, an anisotropic poromechanical model is developed for modeling the growth and frictional sliding of oriented localized macrocrack whose orientation is analytically determined and depends on loading path. The displacement discontinuity across the macrocrack can be evaluated. For assessing the performance of proposed approach, a set of examples are examined, including drained and undrained triaxial compression tests. In particular, analytical solutions are obtained and compared with existing experimental data, in terms of stress–strain relations, porosity and fluid pressure evolution, and the transition from diffuse damage to localized cracking.

本文提出了一种基于微孔力学的模拟饱和准脆性介质在压缩主导应力作用下渐进破坏过程的新方法。重点讨论了由扩散型微裂纹向局域型宏观裂纹过渡的过程。将线性均匀化和不可逆热力学相结合，首次建立了描述微裂纹扩散损伤和摩擦滑动的微孔力学模型。特别是，在损伤力学的背景下，有效应力的概念被重新审视。阐明了流体压力在裂化过程中的作用。局部宏观裂纹的发生被描述为当扩散损伤密度参数达到临界值时微裂纹的合并。在该过渡点之后，SQBM中的耗散过程主要归因于局部裂纹的演化。在此框架下，建立了一个各向异性的孔隙力学模型，用于模拟定向局部大裂纹的扩展和摩擦滑动，定向局部大裂纹的取向是解析确定的，取决于加载路径。可以评估跨大裂纹的位移不连续。为了评估所提出的方法的性能，研究了一组示例，包括排水和不排水三轴压缩试验。特别是在应力-应变关系、孔隙度和流体压力演化以及从弥漫性损伤到局部开裂的转变方面，得到了解析解，并与已有的实验数据进行了对比。

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引用次数: 0

A concise fracture model for ductile metals: Integration of symbolic regression and strength theory 一种简捷的韧性金属断裂模型：符号回归与强度理论的整合

IF 12.8 1区材料科学 Q1 ENGINEERING, MECHANICAL

International Journal of Plasticity

Pub Date : 2025-12-01 Epub Date: 2025-10-14 DOI: 10.1016/j.ijplas.2025.104506

Ning Li , Jiaxuan Sun , Tao Suo , Yulong Li , Yazhou Guo

An ideal fracture model for engineering applications should accurately predict fracture behavior across various ductile metals while maintaining a concise formulation with minimal fitting parameters. By comparing the roles of weak constraints (derived from microscopic mechanism analysis) and strong constraints (based on strength theories) in symbolic regression, two fracture models are proposed: the theory and symbolic regression-based fracture model (TSR-F model) and the extended symbolic regression-based fracture model (ESR-F model). Symbolic regression, when applied under strong constraints, is able to effectively derive generalized fracture model for various ductile metals using limited experimental data. The effectiveness and accuracy of the models are validated through experiments on 26 types of metals, demonstrating their applicability across a wide range of materials and over a broad range of stress triaxiality and Lode angle parameters, where the ESR-F model shows superior performance. Moreover, the performance of the TSR-F model is close to that of the ESR-F model, which indicates the critical importance of incorporating appropriate constraints in symbolic regression. Furthermore, while the strong constraints are introduced through the generalization of the von Mises and Maximum Mohr-Coulomb criteria for isotropic metals, one may be compelled to neglect anisotropy induced under low-triaxiality ductile fracture to avoid overly complicated expressions. This study demonstrates the potential of symbolic regression methods with suitable strong theoretical constraints to develop universal expressions of mechanical models using limited experimental data.

工程应用的理想断裂模型应该能够准确地预测各种延性金属的断裂行为，同时保持简洁的公式和最小的拟合参数。通过对比弱约束（基于微观机理分析）和强约束（基于强度理论）在符号回归中的作用，提出了两种断裂模型：基于理论和符号回归的断裂模型（TSR-F模型）和扩展符号回归的断裂模型（ESR-F模型）。符号回归在强约束条件下，能够利用有限的实验数据，有效地推导出各种延性金属的广义断裂模型。通过对26种金属的实验验证了模型的有效性和准确性，证明了它们在广泛的材料和应力三轴性和Lode角参数范围内的适用性，其中ESR-F模型表现出优越的性能。此外，TSR-F模型的性能接近ESR-F模型，这表明在符号回归中加入适当的约束至关重要。此外，虽然通过对各向同性金属的von Mises和Maximum Mohr-Coulomb准则的推广引入了强约束，但为了避免过于复杂的表达式，人们可能不得不忽略低三轴韧性断裂引起的各向异性。本研究证明了具有适当的强理论约束的符号回归方法的潜力，可以利用有限的实验数据开发力学模型的通用表达式。

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引用次数: 0

Unsupervised mechanism-informed neural network modeling of plastic hardening in rafted Ni-based single crystal alloys 筏形镍基单晶合金塑性硬化的无监督机制神经网络建模

IF 12.8 1区材料科学 Q1 ENGINEERING, MECHANICAL

International Journal of Plasticity

Pub Date : 2025-12-01 Epub Date: 2025-10-21 DOI: 10.1016/j.ijplas.2025.104507

Huanbo Weng , Cheng Luo , Huang Yuan

Rafted nickel-based single-crystal alloys exhibit directionally dependent mechanical degradation, necessitating the integration of anisotropic microstructural characteristics into macroscopic single-crystal plasticity models. This study presents a new mechanism-informed neural network (MINN)-based multi-scale crystal plasticity framework coupled with microstructural fabric tensors to address this challenge. The proposed model incorporates single-crystal slip deformation mechanisms and utilizes 12 sets of measurable physical quantities, including stress, strain, and microstructural parameters, as input and output variables to derive microstructure-sensitive hardening models in an unsupervised manner. Isotropic and deviatoric fabric tensors are decomposed into individual slip systems, directly influencing material plastic flow. The investigations reveal that the isotropic component’s magnitude correlates with microstructural channel width, modulating slip system strain rates, while the deviatoric component’s direction and magnitude jointly govern flow and hardening behavior on the slip systems. These insights enhance the understanding of the multi-scale mechanical behavior of single-crystal alloys and provide a foundation for constitutive modeling. Meanwhile, the proposed framework offers innovative methods and research paradigms to investigate slip deformation mechanisms in anisotropic crystalline alloys.

泛化镍基单晶合金表现出方向依赖的力学退化，需要将各向异性的微观组织特征整合到宏观单晶塑性模型中。本研究提出了一种新的基于机制的神经网络（MINN）的多尺度晶体塑性框架，结合微结构织物张量来解决这一挑战。该模型包含单晶滑移变形机制，并利用12组可测量的物理量（包括应力、应变和微观结构参数）作为输入和输出变量，以无监督的方式推导出微观结构敏感的硬化模型。各向同性和偏性织物张量被分解成单独的滑移系统，直接影响材料的塑性流动。研究表明，各向同性分量的大小与微观结构通道宽度相关，调节滑移系统的应变速率，而偏性分量的方向和大小共同控制滑移系统的流动和硬化行为。这些见解增强了对单晶合金多尺度力学行为的理解，并为本构建模提供了基础。同时，该框架为研究各向异性晶体合金的滑移变形机制提供了创新的方法和研究范式。

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引用次数: 0

Demand-driven predictive tailoring of anisotropic yield surfaces in origami metamaterials via machine learning 基于机器学习的折纸材料各向异性屈服面的需求驱动预测剪裁

IF 12.8 1区材料科学 Q1 ENGINEERING, MECHANICAL

International Journal of Plasticity

Pub Date : 2025-12-01 Epub Date: 2025-10-24 DOI: 10.1016/j.ijplas.2025.104522

Sihao Han, Chunlei Li, Qiang Han, Xiaohu Yao

The yield surface defines the elastic-to-plastic transition in materials. However, accurately capturing the multiaxial yield surfaces of anisotropic metamaterials remains challenging with conventional criteria, and active tailoring of yield surfaces is also underdeveloped. Here, a novel machine learning framework (Q-TEncMLP) is proposed for predicting and on-demand tailoring anisotropic yield surfaces in origami metamaterials. First, a predictive deep learning model (TEncMLP) is trained on limited data to achieve end-to-end mapping from topologies to multiaxial yield surfaces. Through transfer learning with frozen parameters, the model generalizes to new yield surfaces using only 20% of additional data, enhancing efficiency across different stress states and geometric variations. Beyond prediction, attention-weight analysis provides mechanical interpretability by revealing the roles of key parameters in anisotropic yielding. Furthermore, TEncMLP is embedded into reinforcement learning as a digital twin environment, where mechanics-informed reward functions facilitate demand-driven tailoring of yield surfaces. This allows tailored yield surfaces for various objectives, including max/minimization, target matching, and lightweighting while preserving mechanical performance. Overall, this work not only clarifies the key mechanisms governing anisotropic yield in origami metamaterials, but also provides a general paradigm for intelligent constitutive modeling, shifting from experience-driven to demand-driven.

屈服面定义了材料的弹塑性转变。然而，利用传统标准准确捕获各向异性超材料的多轴屈服面仍然具有挑战性，并且屈服面的主动裁剪也不发达。本文提出了一种新的机器学习框架（Q-TEncMLP），用于预测和按需裁剪折纸超材料的各向异性屈服面。首先，在有限的数据上训练预测深度学习模型（TEncMLP），以实现从拓扑到多轴屈服面的端到端映射。通过固定参数的迁移学习，该模型仅使用20%的额外数据就可以推广到新的屈服面，从而提高了不同应力状态和几何变化的效率。除了预测之外，注意权重分析通过揭示关键参数在各向异性屈服中的作用提供了力学可解释性。此外，TEncMLP作为数字孪生环境嵌入到强化学习中，其中机制通知奖励函数促进了需求驱动的产量面定制。这允许针对各种目标定制屈服面，包括最大化/最小化、目标匹配和轻量化，同时保持机械性能。总的来说，这项工作不仅阐明了折纸超材料各向异性屈服的关键机制，而且为智能本构建模提供了一个通用范例，从经验驱动转向需求驱动。

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引用次数: 0

Unraveling deformation mechanisms in CP-Ti via crystal plasticity: Direction-dependent surface roughness evolution CP-Ti的晶体塑性分解变形机制：方向依赖的表面粗糙度演化

IF 12.8 1区材料科学 Q1 ENGINEERING, MECHANICAL

International Journal of Plasticity

Pub Date : 2025-12-01 Epub Date: 2025-10-11 DOI: 10.1016/j.ijplas.2025.104503

Kyung Mun Min , Jung Yun Won , Xiaohua Hu , Hyuk Jong Bong

This study investigates the evolution of surface roughness and the underlying deformation mechanisms in ultra-thin commercially pure titanium (CP-Ti) sheets, which are attracting increasing attention as candidate materials for metallic bipolar plates in fuel cells. Under uniaxial tension along the rolling direction (RD), the sheets developed markedly rough surfaces with pronounced creases aligned with the loading direction. In contrast, loading along the transverse direction (TD) produced lower roughness and a more uniform, nearly isotropic surface morphology. Crystal plasticity finite element modeling reproduced these observations and attributed the direction-dependent roughness evolution to differences in the activation of slip and twinning systems. Tensile loading along RD was dominated by prismatic ⟨a⟩ slip, restricting through-thickness deformation. Conversely, tensile loading along TD activated multiple deformation systems, enabling more distributed deformation in multiple directions. These mechanisms were further supported by deformation microstructures revealed through electron backscatter diffraction. Taken together, these findings clarify the origin of direction-dependent roughening and provide mechanistic insight into heterogeneous through-thickness deformation behavior and its role in surface roughness evolution.

本研究研究了超薄商业纯钛（CP-Ti）片表面粗糙度的演变和潜在的变形机制，这种材料作为燃料电池金属双极板的候选材料越来越受到关注。在沿轧制方向（RD）的单轴拉伸下，板材表面明显粗糙，且沿加载方向有明显的折痕。相反，沿横向（TD）方向加载产生较低的粗糙度和更均匀，几乎各向同性的表面形貌。晶体塑性有限元模型再现了这些观察结果，并将方向依赖的粗糙度演化归因于滑移和孪晶系统激活的差异。沿RD的拉伸载荷由prismatic⟨a⟩滑移主导，限制了贯穿厚度的变形。相反，沿TD的拉伸载荷激活了多个变形系统，使多个方向的变形更加分布。电子背散射衍射显示的形变微观结构进一步支持了这些机制。综上所述，这些发现阐明了方向依赖性粗化的起源，并为非均质全厚度变形行为及其在表面粗糙度演化中的作用提供了机理见解。

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引用次数: 0

Unveiling creep mechanisms in metallic glasses via fractional modeling under coupled thermo-mechanical loads 热-机械耦合载荷下金属玻璃蠕变机理的分式建模

IF 12.8 1区材料科学 Q1 ENGINEERING, MECHANICAL

International Journal of Plasticity

Pub Date : 2025-12-01 Epub Date: 2025-10-17 DOI: 10.1016/j.ijplas.2025.104511

J.B. Cui , G.H. Xing , Guo-Jian Lyu , Yun-Jiang Wang , T. Wada , H. Kato , V.A. Khonik , Y. Yang , J.C. Qiao

This study systematically investigates the creep behavior of Pd₂₀Pt₂₀Cu₂₀Ni₂₀P₂₀ metallic glass under varying temperatures and applied stresses. To accurately capture its time-dependent deformation response, a fractional Burgers model is proposed by extending the classical Burgers framework using fractional calculus. The model demonstrates excellent agreement with experimental data and offers physically interpretable parameters that describe the inelastic response of material. With increasing temperature, the quasi-steady-state creep strain rate increases significantly, accompanied by a notable reduction in the apparent viscosity. The viscosity-related parameters exhibit thermally activated behavior, while the fractional orders α_₁ and α_₂ also increase with temperature, indicating enhanced atomic mobility. The validity of the model is further supported by dynamic mechanical analysis, in which the temperature-dependent trends of storage and loss moduli align closely with model predictions. In contrast, increasing the stress primarily accelerates the creep rate but exerts only a limited influence on viscosity and the evolution of fractional parameters, suggesting that temperature plays a more dominant role than stress in determining creep kinetics. Creep experiments conducted on samples with different degrees of physical aging reveal that structural relaxation primarily suppresses the initial transient anelastic strain, while the quasi-steady-state stage remains largely unaffected. Finally, a comparative analysis among metallic glasses with different β relaxation features shows that alloys exhibiting more pronounced β relaxation tend to possess higher α_₁ and α_₂ values, underscoring the critical role of β relaxation in mediating intrinsic ductility and deformation behavior below the glass transition temperature in metallic glasses.

本研究系统地研究了Pd20Pt20Cu20Ni20P20金属玻璃在不同温度和外加应力下的蠕变行为。为了准确地捕捉其随时间变化的变形响应，利用分数阶微积分对经典Burgers框架进行扩展，提出了分数阶Burgers模型。该模型与实验数据非常吻合，并提供了描述材料非弹性响应的物理可解释参数。随着温度的升高，准稳态蠕变应变率显著增大，表观粘度显著降低。黏度相关参数表现为热活化行为，α 1和α 2分数阶也随温度升高而增加，表明原子迁移率增强。动态力学分析进一步支持了模型的有效性，其中储存和损失模量的温度依赖趋势与模型预测密切相关。相比之下，增加应力主要加速蠕变速率，但对粘度和分数参数的演变影响有限，这表明温度在决定蠕变动力学方面比应力起更大的作用。对不同物理时效程度试样的蠕变试验表明，结构松弛主要抑制初始瞬态非弹性应变，而准稳态阶段基本不受影响。最后，对具有不同β弛豫特征的金属玻璃的对比分析表明，β弛豫特征更明显的合金具有更高的α 1和α 2值，强调了β弛豫在金属玻璃玻璃化转变温度以下的内在延性和变形行为中的关键作用。

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引用次数: 0

A coupled crystal plasticity-phase field framework for anisotropic fracture in Ni-based single crystals 镍基单晶各向异性断裂的晶体塑性-相场耦合框架

IF 12.8 1区材料科学 Q1 ENGINEERING, MECHANICAL

International Journal of Plasticity

Pub Date : 2025-12-01 Epub Date: 2025-11-05 DOI: 10.1016/j.ijplas.2025.104541

H.T. Li , X.M. Wang , H. Cheng , Z.L. Ding , S.Y. Sun , W.Z. Yang , Y. Wang

Crack nucleation, propagation and coalescence in anisotropic Ni-based single crystal superalloys are critical to the durability of aero engines hot-section components. This study develops a coupled crystal-plasticity and phase-field model to capture the fracture behavior for the materials and account for the coupling effects between plasticity and damage. The framework incorporates a fracture toughness degradation function driven by plastic strain energy, directly illustrating the influence of plastic deformation on crack resistance. Additionally, a yield surface degradation function, incorporated into power-law flow theory, accounts for damage-induced strength reduction and prevents numerical instabilities in severely damaged zones. Furthermore, elastoplastic constitutive relations are decomposed into crack-driving and persistent components within a variational framework, addressing tension-compression asymmetry for fracture behavior and satisfying the orthogonality decomposition condition for anisotropic materials. The proposed model is validated through numerical examples, demonstrating its ability to accurately predict experimental results and elucidate the anisotropic fracture processes in Ni-based single crystal superalloys. This work provides a robust framework for understanding and predicting fracture in anisotropic materials, with potential applications for advancing aerospace hot-section component design.

各向异性镍基单晶高温合金裂纹的形核、扩展和聚结对航空发动机热断面部件的耐久性起着至关重要的作用。本研究建立了一种晶体-塑性和相场耦合模型，以捕捉材料的断裂行为，并考虑塑性和损伤之间的耦合效应。该框架包含了由塑性应变能驱动的断裂韧性退化函数，直接说明了塑性变形对抗裂性能的影响。此外，纳入幂律流动理论的屈服面退化函数解释了损伤引起的强度降低，并防止了严重损伤区域的数值不稳定。此外，在变分框架内将弹塑性本构关系分解为裂纹驱动和持久分量，解决了断裂行为的拉压不对称问题，并满足各向异性材料的正交性分解条件。通过数值算例验证了该模型的正确性，表明该模型能够准确预测实验结果，并能很好地解释ni基单晶高温合金的各向异性断裂过程。这项工作为理解和预测各向异性材料的断裂提供了一个强大的框架，具有推进航空航天热截面部件设计的潜在应用。

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引用次数: 0

Multiple-mechanism and microstructure-based crystal plasticity simulation of cyclic deformation in TRIP-assisted duplex stainless steels 基于trip辅助双相不锈钢循环变形多机制和显微组织的晶体塑性模拟

IF 12.8 1区材料科学 Q1 ENGINEERING, MECHANICAL

International Journal of Plasticity

Pub Date : 2025-12-01 Epub Date: 2025-10-22 DOI: 10.1016/j.ijplas.2025.104521

Xiaolong Li , Miao Jin , Qingling Zhang , Yinqiang Wang , Xiaocong Ma , Shiyan Zhao , Lei Chen , Xingzhou Cai

Transformation-induced plasticity (TRIP) - assisted duplex stainless steels (DSSs) are widely used in industrial applications due to their significantly reduced density, as well as the excellent ductility and work hardening capability induced by the TRIP effect. Cyclic loading is commonly encountered in their industrial applications. Therefore, studying the cyclic plastic behavior of TRIP-assisted DSSs is of significant importance. The cyclic deformation behavior and its micro-mechanisms were investigated through mechanical experiments, EBSD, and TEM characterization. Subsequently, a physical-based crystal plasticity constitutive model, incorporating multiple mechanisms such as dislocation density evolution in the ferrite and martensitic transformation in the austenite, was developed and implemented in ABAQUS with the UMAT subroutine. A 3D-RVE was established, and the model was calibrated and validated based on the material’s cyclic mechanical response, martensitic volume fraction, and dislocation density evolution. Additionally, a 2.5D-RVE was established based on EBSD data to simulate the cyclic deformation behavior of the material. The computational results indicate that the occurrence of martensitic transformation requires the combined effect of the stress level and Schmid factor in the austenite grains, both of which are influenced by the austenite grain orientations. A high stress level in the austenite grains increases the resolved shear stress on partial fault-bands in adjacent austenite grains, thus promoting phase transformation in the grain boundary regions of the neighboring austenite grains. Due to its lower yield strength, ferrite is more prone to plastic deformation. The resolved shear stress of the activated slip systems will indirectly increase the resolved shear stress on partial fault-bands in adjacent austenite grains, further promoting phase transformation at the phase boundary regions of the austenite grains.

相变诱导塑性（TRIP）辅助双相不锈钢（DSSs）由于其显著降低密度，以及TRIP效应诱导的优异的延展性和加工硬化能力而广泛应用于工业应用。循环加载是工业应用中经常遇到的问题。因此，研究trip辅助DSSs的循环塑性行为具有重要意义。通过力学实验、EBSD和TEM表征研究了复合材料的循环变形行为及其微观机制。随后，利用UMAT子程序在ABAQUS中开发并实现了基于物理的晶体塑性本构模型，该模型包含铁素体中的位错密度演变和奥氏体中的马氏体相变等多种机制。建立3D-RVE模型，根据材料的循环力学响应、马氏体体积分数和位错密度演变对模型进行校准和验证。此外，基于EBSD数据建立2.5D-RVE，模拟材料的循环变形行为。计算结果表明，马氏体相变的发生需要奥氏体晶粒中的应力水平和施密德因子的共同作用，二者均受奥氏体晶粒取向的影响。奥氏体晶粒中的高应力水平增加了相邻奥氏体晶粒部分断裂带上的可分解剪切应力，从而促进了相邻奥氏体晶粒晶界区域的相变。由于屈服强度较低，铁素体更易发生塑性变形。激活滑移体系的分解剪切应力会间接增加邻近奥氏体晶粒部分断裂带上的分解剪切应力，进一步促进奥氏体晶粒相界区域的相变。

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