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3D interface size effects on slip transfer in Ti/Nb nanolaminates Ti/Nb纳米层合材料中三维界面尺寸对滑移转移的影响
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-20 DOI: 10.1016/j.ijplas.2025.104246
Nicolas Fuchs-Lynch , Mauricio De Leo , Pulkit Garg , Shuozhi Xu , Nathan A. Mara , Irene J. Beyerlein
Two-phase nanolaminates are well-renowned for achieving extraordinarily high strengths but at the sacrifice of reduced toughness and strain to failure. Recently ”thick” interfaces, or so called 3D interfaces, in Cu/Nb nanolaminates were experimentally shown to improve both of these mechanical properties. In this work, we study the effect of 3D interfaces in the hexagonal close packed (HCP)/body centered cubic (BCC) Ti/Nb nanolaminate system. Nanoindentation hardness testing suggests increased strength with the introduction of a 3D Ti–Nb interface and a positive size effect with increases in 3D interface thickness from 5 nm to 20 nm. To understand this effect from a single dislocation perspective, we present a phase-field dislocation dynamics (PFDD) model for multi-phase HCP/BCC systems. We employ the model to simulate stress-driven transfer of single dislocations across 3D Ti/Nb interfaces of various thicknesses. Our results show that the critical stress for slip transfer increases with the thickness of the interface. This positive size effect is stronger for transfer from basal or prismatic dislocations in the Ti layer to 110111 dislocations in the Nb layer than the reverse. For this Ti/Nb system, a critical thickness of 2 nm is identified at which the asymmetry in slip transfer is minimized. This work showcases 3D interfaces as a beneficial microstructure modification to strengthen as well as reduce anisotropy in nanocrystalline materials containing HCP phases.
两相纳米层合材料以获得极高的强度而闻名,但以降低韧性和应变为代价。最近,Cu/Nb纳米层合材料中的“厚”界面或所谓的3D界面被实验证明可以改善这两种机械性能。在这项工作中,我们研究了六角形紧密堆积(HCP)/体心立方(BCC) Ti/Nb纳米层合材料体系中三维界面的影响。纳米压痕硬度测试表明,3D Ti-Nb界面的引入增加了强度,3D界面厚度从5 nm增加到20 nm,产生了正的尺寸效应。为了从单一位错的角度理解这种影响,我们提出了多相HCP/BCC体系的相场位错动力学(PFDD)模型。我们利用该模型模拟了不同厚度的三维Ti/Nb界面上单位错的应力驱动传递。结果表明,滑移传递的临界应力随界面厚度的增大而增大。从Ti层的基底位错或棱柱位错到Nb层的110 < 111 > < 111 >位错的转移,这种正尺寸效应比相反的转移更强。对于该Ti/Nb体系,确定了2 nm的临界厚度,在此厚度下滑移转移的不对称性最小。这项工作展示了3D界面作为一种有益的微观结构改性,可以增强和减少含有HCP相的纳米晶材料的各向异性。
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引用次数: 0
Mechanical responses and microstructure evolution of DP780 in complete σxx-σyy space: Experiments and crystal plasticity characterization DP780在完全σxx-σyy空间中的力学响应与微观结构演化:实验与晶体塑性表征
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-17 DOI: 10.1016/j.ijplas.2025.104247
Xuejian Yang , Mingyang Jiao , Zhijia Liu , Hui Zhao , Yan Peng , Lu Wu , Yu Wu , Rongjian Pan , Baodong Shi
During practical forming processing, strong anisotropic mechanical behavior of dual phase (DP) steels is usually detected due to texture, which further determines subsequent processing optimization with loading paths changing. In order to clarify the underlying deformation mechanisms of DP steels under multi-axial loading, the mechanical response of DP780 under different biaxial loading paths was examined in detail. More precisely, anisotropic behavior of DP780 in complete “σxxyy” space was investigated through mechanical testing, microstructure characterization, and crystal plasticity computation based on dislocation density. In particular, biaxial compression test of thin plate is realized by using specifically designed fixture, and consequently yield loci in complete “σxxyy” space is detected experimentally. It is found that stronger anisotropy is observed under biaxial loading compared with that under uniaxial loading at macro scale, and biaxial Bauschinger effect is detected with biaxial preloading. At the micro scale, the texture evolution is affected directly by loading paths, and the compression load contributes more to the texture evolution. The distribution of the Taylor Factor under different biaxial loading paths reveals the impact of tension and compression on the main activated slip systems (MASS). Under biaxial tension and biaxial compression loading, the MASS of DP780 is the {112} slip system. Under combined biaxial tension and compression loading, the MASS is the {110} slip system. Using crystal plasticity, the evolution of dislocation density under different biaxial loading is captured. The relationship between the biaxial Bauschinger effect and MASS is clarified. It is found that the dislocation multiplication of the {112} slip system is more affected by changes in loading path than the {110} slip system. And during the subsequent loading process, the {110} slip system transform to {112} by preloading. Additionally, the relationship between the alteration of the MASS and the evolution of texture, as well as the resulting macroscopic anisotropic behavior has been elucidated.
在实际成形过程中,由于织构的影响,双相钢的力学行为具有很强的各向异性,这进一步决定了在加载路径变化的情况下,后续的加工优化。为了阐明DP钢在多轴加载下的潜在变形机制,对DP780在不同双轴加载路径下的力学响应进行了详细研究。更精确地说,通过力学测试、微观结构表征和基于位错密度的晶体塑性计算,研究了DP780在完整“σxx-σyy”空间中的各向异性行为。特别是利用专门设计的夹具实现了薄板的双轴压缩试验,从而在实验中检测到完整的“σxx-σyy”空间的屈服轨迹。研究发现,在宏观尺度下,双轴加载比单轴加载具有更强的各向异性,双轴预加载可检测到双轴鲍辛格效应。在微观尺度上,加载路径对纹理演化有直接影响,压缩载荷对纹理演化的贡献更大;不同双轴加载路径下的泰勒系数分布揭示了张压作用对主激活滑移系统(MASS)的影响。在双轴拉伸和双轴压缩载荷下,DP780的质量为{112}滑移体系。在双轴拉压联合加载下,质量为{110}滑移体系。利用晶体塑性,捕捉了不同双轴载荷下位错密度的演变过程。澄清了双轴包辛格效应与质量之间的关系。结果表明,{112}滑移系的位错倍增比{110}滑移系受加载路径变化的影响更大。在后续加载过程中,通过预加载,滑移系统由{110}转变为{112}。此外,还阐明了质量变化与织构演化的关系,以及由此产生的宏观各向异性行为。
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引用次数: 0
A strain-path dependent unified constitutive model of titanium alloy coupling coarse grain subdivision and recrystallization: Application to multi-directional hot deformation 基于应变路径的钛合金粗晶细分与再结晶耦合统一本构模型在多向热变形中的应用
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-17 DOI: 10.1016/j.ijplas.2025.104248
Shiqi Guo , Siliang Yan , Liang Huang , Kezhuo Liu , Changmin Li
Primary hot working, represented by multi-directional hot forging and annealing, is a crucial step in microstructure control and plays a decisive role in the ultimate performance of ultra-high strength titanium alloy components. However, the interaction mechanisms of multiple physical processes comprising work hardening, dynamic recovery, dynamic recrystallization and grain fragmentation under complex thermo-mechanical routes are not yet well known, which greatly limits the process optimization and control of primary hot working process. In order to accurately predict the macro-micro behaviors of coarse-grained titanium alloys during multi-directional hot deformation and annealing processes, a strain-path dependent unified constitutive model was established comprehensively considering the intragranular coarse grain subdivision (ICGS) caused by ribbon and transgranular subdivided continuous dynamic recrystallization (CDRX), as well as the boundary-based coarse grain subdivision (BCGS) composed of discontinuous dynamic recrystallization (DDRX) coupled with boundary expand CDRX, and the interaction of various mechanisms under dislocation configuration. Through the combination of large deformation framework and viscoplastic theory, the influence of thermo-mechanical loading path and strain rate on grain refinement efficiency was elucidated. In the present model, the cumulative effects of loading direction changes on the degree of grain fragmentation were well identified by defining a new geometric parameter, viz. the loading axis rotation angle of the passes. The ICGS mechanism was introduced to the grain evolution model for the first time, by establishing a quatitative correlation between shear strain and the volume fraction of grain internal subdivision. In this way, the through-process precision prediction of the refinement degree of characteristic regions under multi-directional deformation paths was finally realized by combining BCGS and ICGS mechanisms, and the evolution of mechanical behaviors and internal variables in the alternating multi-directional hot deformation with heat preservation were simulated. The predictive results of the model were consistent with experiments of the titanium alloy with an average error of 4.93% and the refinement degrees of coarse-grained structures under different strain rates, temperatures and cumulative multi-directional large strains were well captured. Moreover, the applicable grain size range of the present constitutive model within a wide strain range was extended to 4 orders of magnitude (from micrometer to centimeter), and the effectiveness of the model in identifying complex multi-directional loading, multiple annealing and the heredity of internal variables during primary hot deformation were validated.
以多向热锻和退火为代表的一次热加工是组织控制的关键步骤,对超高强度钛合金部件的极限性能起着决定性的作用。然而,复杂热机械路径下加工硬化、动态恢复、动态再结晶和晶粒碎裂等多个物理过程的相互作用机制尚不清楚,这极大地限制了一次热加工过程的工艺优化和控制。为了准确预测粗晶钛合金在多向热变形和退火过程中的宏微观行为,综合考虑带状和穿晶细分连续动态再结晶(CDRX)引起的晶内粗晶细分(ICGS),建立了基于应变路径的统一本构模型。以及由不连续动态再结晶(DDRX)和边界扩展CDRX组成的基于边界的粗晶粒细分(BCGS),以及位错配置下各种机制的相互作用。通过结合大变形框架和粘塑性理论,阐明了热-机械加载路径和应变速率对晶粒细化效率的影响。在该模型中,通过定义一个新的几何参数,即孔道的加载轴旋转角度,很好地识别了加载方向变化对颗粒破碎程度的累积效应。通过建立剪切应变与晶粒内部细分体积分数之间的定量关系,首次将ICGS机制引入到晶粒演化模型中。这样,结合BCGS和ICGS机制,最终实现了多向变形路径下特征区域细化程度的全程精度预测,并模拟了多向热变形与保温交替过程中力学行为和内部变量的演变。该模型的预测结果与钛合金的实验结果一致,平均误差为4.93%,较好地反映了不同应变速率、温度和累积多向大应变下粗晶组织的细化程度。将本构模型在宽应变范围内的适用晶粒尺寸范围扩展到4个数量级(从微米到厘米),验证了该模型在识别复杂多向加载、多次退火和初次热变形过程中内部变量遗传方面的有效性。
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引用次数: 0
Unique transitions in uniform elongation and deformation mechanisms of a refractory medium-entropy alloy at cryogenic temperatures 低温下难熔中熵合金均匀伸长率和变形机制的独特转变
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-13 DOI: 10.1016/j.ijplas.2025.104245
Xianbing Zhang , Shubin Wang , Jie Wang , Xinyu Xu , Song Lu , Binbin He
Refractory high-entropy alloys (RHEAs) and medium-entropy alloys (RMEAs) are potential candidates for high-temperature applications; dislocations play crucial roles in the plastic deformation of these alloys at both room and elevated temperatures. However, there is a significant deficiency in the understanding of their temperature-dependent microstructure-mechanical property correlations at low temperatures, which is crucial for evaluating their performance and ensuring service safety under variable-temperature extreme conditions. This study investigated the mechanical properties and deformation mechanisms of a non-equiatomic Ti48.9Zr32.0Nb12.6Ta6.5 RMEA at ambient and cryogenic temperatures. Tensile testing revealed intriguing temperature-dependent behaviors: as the temperature decreased, yield strength increased, while uniform elongation (UE) followed an abnormal U-shaped trend. The RMEA exhibited good UE at 293 K (10.9 %), but UE dropped sharply to 185 K (2.2 %). However, UE peaked at 77 K (17.2 %) along with the highest ultimate tensile strength. These indicated a transition in the deformation mechanisms. Microstructural analysis showed that considerable strain hardening at 293 K was owing to abundant dislocation interactions as well as {112}<111> twins. At 185 K, strain hardening weakened due to suppressed dislocation activity, whereas kinking prevented the ductile-to-brittle transition despite limited UE. The strong strain hardening and enhanced UE at 77 K were attributed to the twinning-induced plasticity effect from {332}<113> deformation twins. In conclusion, this study highlights the anomalous temperature-dependent mechanical behavior of this RMEA and the corresponding evolution of deformation mechanisms. The findings provide key insights into the alloy design and optimizing the performance of RHEAs/RMEAs for applications in cryogenic and variable-temperature environments.
耐火高熵合金(RHEAs)和中熵合金(rmea)是高温应用的潜在候选者;在室温和高温下,位错对这些合金的塑性变形起着至关重要的作用。然而,在低温下,对其温度依赖的微观结构-力学性能相关性的理解存在明显不足,这对于评估其性能和确保在变温条件下的使用安全至关重要。研究了非等原子Ti48.9Zr32.0Nb12.6Ta6.5 RMEA在常温和低温下的力学性能和变形机理。拉伸试验揭示了有趣的温度依赖行为:随着温度的降低,屈服强度增加,而均匀伸长率(UE)呈异常的u型趋势。RMEA在293 K时具有良好的UE(10.9%),但UE急剧下降至185 K(2.2%)。然而,UE在77 K时达到峰值(17.2%),极限抗拉强度也达到最高。这表明变形机制发生了转变。显微组织分析表明,在293 K时,大量的位错相互作用和{112}<;111>;双胞胎。在185 K时,由于位错活性受到抑制,应变硬化减弱,而扭结阻止了韧脆性转变,尽管UE有限。{332}<113>;变形双胞胎。总之,本研究强调了该RMEA的异常温度依赖力学行为和相应的变形机制演变。这些发现为低温和变温环境下的合金设计和优化RHEAs/ rmea性能提供了关键见解。
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引用次数: 0
Modeling the influence of bainite transformation on the flow behavior of steel using a macroscale finite element analysis 利用宏观尺度有限元分析建立贝氏体转变对钢材流动行为影响的模型
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-01 DOI: 10.1016/j.ijplas.2024.104189
Towhid Faraji , Missam Irani , Grzegorz Korpala , Christoph Ostwald , Ansgar Hatscher , Ulrich Prahl
This study comprehensively investigates the kinetics of bainitic ferrite transformation in steel alloys by integrating experimental results, finite element analysis, and thermodynamic modeling. Using a dilatometer and Gleeble tests, empirical data were acquired to calibrate the Bhadeshia and Hensel-Spittel models, forming the basis for subsequent finite element simulations. Owing to the high importance of temperature in bainite transformation, the accuracy of the predicted temperature fields was validated precisely against experimental measurements, confirming the reliability of the methodology. A modified Bhadeshia model was proposed incorporating the influence of the applied shear stress on the activation energy, thereby emphasizing the temperature-dependent Cstress coefficient. The electron backscatter diffraction results validate the finite element model, and further exploration reveals the implications for fracture patterns and density changes due to bainitic transformation. This study contributes to a nuanced understanding of bainitic ferrite kinetics, offering valuable insights for alloy design and optimization under various thermomechanical conditions, and paving the way for advanced research on phase transformation kinetics and material behavior.
本研究综合了实验结果、有限元分析和热力学模型,全面研究了钢合金中贝氏体铁素体转变的动力学。通过使用扩张仪和格里布尔试验,获得了校准 Bhadeshia 和 Hensel-Spittel 模型的经验数据,为随后的有限元模拟奠定了基础。由于温度在贝氏体转变中的重要性,预测温度场的准确性与实验测量结果进行了精确验证,从而证实了该方法的可靠性。我们提出了一个改进的巴德夏模型,该模型考虑了外加剪应力对活化能的影响,从而强调了与温度相关的 CstressCstress 系数。电子反向散射衍射结果验证了有限元模型,进一步的探索揭示了贝氏体转变对断裂模式和密度变化的影响。这项研究有助于深入理解贝氏体铁素体动力学,为各种热机械条件下的合金设计和优化提供了宝贵的见解,并为相变动力学和材料行为的高级研究铺平了道路。
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引用次数: 0
Deformation mechanisms in pure Mg single crystal under erichsen test: Experimental observations and crystal plasticity predictions Erichsen试验下纯Mg单晶的变形机制:实验观察和晶体塑性预测
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-01 DOI: 10.1016/j.ijplas.2024.104198
C.S. Hyun , J. Singh , M. Panchal , M.S. Kim , A. Komissarov , K.S. Shin , S.-H. Choi
In the present study, the deformation mechanisms in a pure Mg single crystal deformed under the Erichsen test were investigated. The specimens were deformed for different punch strokes under a given crystallographic orientation relationship with respect to the punch direction at room temperature (RT). The electron backscattered diffraction (EBSD) technique was used for the microstructural study of the deformed specimens. The analysis showed that thin twin bands (TBs), consisting of several twin variants, were heterogeneously generated throughout the specimens. In particular, the specimen with the highest Erichsen Index (IE) value of 6.8 mm showed the most significant twinning activity throughout the thickness. The high stretch formability in the given crystallographic orientation is achieved due to the significant tensile twinning activity, which generates a favorable crystal orientation for the activation of basal slip under subsequent deformation. Furthermore, the crystal plasticity finite element method (CPFEM) was used to elucidate the heterogeneity observed during the experimental analysis by studying the strain component generated, the relative activity of different deformation modes, and the accumulated volume fraction of different twinning variants.
本文研究了纯Mg单晶在Erichsen试验下变形的机理。在室温(RT)条件下,在给定的晶体取向关系下,对试样进行不同冲孔行程的变形。利用电子背散射衍射(EBSD)技术对变形试样进行了显微组织研究。分析表明,由多个孪晶变体组成的薄孪晶带(TBs)在整个试样中呈非均匀分布。其中,Erichsen指数(IE)最高为6.8 mm的试件在整个厚度范围内孪晶活性最为显著。在给定的晶体取向下,高拉伸成形性是由于显著的拉伸孪晶活性,这为后续变形下基底滑移的激活产生了有利的晶体取向。此外,采用晶体塑性有限元法(CPFEM)对实验分析过程中观察到的非均匀性进行了分析,研究了不同变形模式产生的应变分量、不同变形模式的相对活度以及不同孪晶变体的累积体积分数。
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引用次数: 0
Integrated modeling framework for the interactions of plastic deformation, magnetic fields, and electrical circuits: Theory and applications to physics-informed real-time material monitoring 塑性变形、磁场和电路相互作用的综合建模框架:物理信息实时材料监测的理论与应用
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-01 DOI: 10.1016/j.ijplas.2024.104212
Young-Dae Shim , Changhyeon Kim , Jihun Kim , Dae-Hyun Yoon , WooHo Yang , Eun-Ho Lee
This study aims to develop a thermodynamic modeling framework for the electromagnetic-plastic deformation response coupled with circuit analysis. To accomplish this objective, we derived the thermodynamic balance laws for materials exposed to electromagnetic fields while undergoing plastic deformation. The balance laws serve as the foundation for refining the connection between the plastic deformation and electrical conductivity of materials. This study also modeled the relationship between dislocation density and Matthiessen's rule. The constitutive equations were subsequently implemented into a crystal plasticity model, thereby calibrating and validating the model. The derived modeling framework considers the 1st and 2nd laws of thermodynamics. The model was then transformed into a circuit model for a monitoring system by formulating equations to analyze the changes in material impedance resulting from the evolution of plastic deformation. This lays the groundwork for creating a monitoring system featuring a real-time prediction algorithm designed to assess material properties during manufacturing processes, thereby enhancing quality control and productivity. This monitoring system is used to monitor all materials in production lines of factories, where full-field measurement methods have limitations. Numerical simulations and experiments were conducted to validate the model and system performance. The results of these validation tests demonstrate that the model not only accurately predicts the relationship between electromagnetic fields and plastic deformation at the material level but also provides practical applicability within the realm of circuit theory, thus making it suitable for real-world system implementation.
本研究旨在建立一个电磁塑性变形响应的热力学建模框架,并结合电路分析。为了实现这一目标,我们推导了材料在电磁场作用下发生塑性变形时的热力学平衡定律。这些平衡规律是细化材料塑性变形与导电性之间关系的基础。本研究还建立了位错密度与Matthiessen法则之间的关系模型。随后将本构方程应用到晶体塑性模型中,从而对模型进行校准和验证。推导的建模框架考虑了热力学第一和第二定律。通过建立方程,将该模型转化为监测系统的电路模型,分析了塑性变形演化导致的材料阻抗变化。这为创建一个监测系统奠定了基础,该系统具有实时预测算法,旨在评估制造过程中的材料特性,从而提高质量控制和生产力。该监控系统用于监控工厂生产线上的所有材料,而现场测量方法具有局限性。通过数值仿真和实验验证了该模型和系统的性能。验证试验结果表明,该模型不仅在材料层面上准确地预测了电磁场与塑性变形之间的关系,而且在电路理论领域具有实际的适用性,适合于实际系统的实现。
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引用次数: 0
A strain rate-dependent distortional hardening model for nonlinear strain paths 非线性应变路径的应变率相关变形硬化模型
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-01 DOI: 10.1016/j.ijplas.2024.104197
Hyunsung Choi , Jeong Whan Yoon
In this paper, a strain rate-dependent distortional hardening model is firstly proposed to describe strain rate-dependent material behaviors under linear and nonlinear strain paths changes in 0θpathchange180. The proposed model is formulated based on the simplified strain rate-independent distortional hardening model (Choi and Yoon, 2023). Any yield function could be used for the strain rate-dependent isotropic and anisotropic yielding. For the linear strain path, the strain rate-dependent isotropic hardening behavior could be explained by two state variables representing rate-dependent yielding and convergence rate of flow stress under monotonically increasing loading condition, respectively. For the nonlinear strain paths, the strain rate-dependent material behaviors such as Bauschinger effect, yield surface contraction, permanent softening, and nonlinear transient behavior could be described by modifying the evolution equations of the simplified strain rate-independent distortional hardening model with a logarithmic term of strain rate. For the verification purpose, it was used the strain-rate dependent tension-compression experiments of TRIP980 and TWIP980 (Joo et al., 2019). In addition, a high speed U-draw bending test was conducted with original and pre-strained specimens. The springback prediction in high speed U-draw bending test was performed by using strain rate-independent isotropic, strain rate-dependent isotropic-kinematic and distortional hardening models. It is identified that the proposed model showed the most accurate prediction for the pre-strained specimen where the possible bilinear and trilinear path change in 0θpathchange180 is observed while it showed the same accuracy for the original specimen where main strain path change occur in forward-reverse manner (θpathchange=180).
本文首先提出了一个应变率相关的变形硬化模型来描述材料在0≤θpathchange≤180°线性和非线性应变路径变化下的应变率相关变形硬化行为。提出的模型是基于简化的应变速率无关的扭曲硬化模型(Choi和Yoon, 2023)。任何屈服函数都可以用于应变率相关的各向同性和各向异性屈服。对于线性应变路径,应变速率相关的各向同性硬化行为可以用单调递增加载条件下流变应力收敛速率和屈服速率相关的两个状态变量来解释。对于非线性应变路径,材料的包辛格效应、屈服面收缩、永久软化和非线性瞬态行为等与应变速率相关的行为可以通过将应变速率无关的简化变形硬化模型的演化方程修改为应变速率的对数项来描述。为了验证目的,采用了TRIP980和TWIP980应变速率相关的拉压实验(Joo et al., 2019)。此外,还对原始和预应变试样进行了高速u形拉伸弯曲试验。采用应变速率无关的各向同性、应变速率相关的各向同性运动模型和变形硬化模型对高速u形弯曲试验的回弹进行了预测。我们发现,所提出的模型对预应变试样在0≤θpathchange≤180°时可能出现的双线性和三线性路径变化的预测最为准确,而对主应变路径以正反方向变化的原始试样(θpathchange=180°)的预测同样准确。
{"title":"A strain rate-dependent distortional hardening model for nonlinear strain paths","authors":"Hyunsung Choi ,&nbsp;Jeong Whan Yoon","doi":"10.1016/j.ijplas.2024.104197","DOIUrl":"10.1016/j.ijplas.2024.104197","url":null,"abstract":"<div><div>In this paper, a strain rate-dependent distortional hardening model is firstly proposed to describe strain rate-dependent material behaviors under linear and nonlinear strain paths changes in <span><math><mrow><mn>0</mn><mo>≤</mo><msub><mi>θ</mi><mrow><mi>p</mi><mi>a</mi><mi>t</mi><mi>h</mi><mspace></mspace><mspace></mspace><mi>c</mi><mi>h</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi>e</mi></mrow></msub><mo>≤</mo><msup><mrow><mn>180</mn></mrow><mo>∘</mo></msup></mrow></math></span>. The proposed model is formulated based on the simplified strain rate-independent distortional hardening model (<span><span>Choi and Yoon, 2023</span></span>). Any yield function could be used for the strain rate-dependent isotropic and anisotropic yielding. For the linear strain path, the strain rate-dependent isotropic hardening behavior could be explained by two state variables representing rate-dependent yielding and convergence rate of flow stress under monotonically increasing loading condition, respectively. For the nonlinear strain paths, the strain rate-dependent material behaviors such as Bauschinger effect, yield surface contraction, permanent softening, and nonlinear transient behavior could be described by modifying the evolution equations of the simplified strain rate-independent distortional hardening model with a logarithmic term of strain rate. For the verification purpose, it was used the strain-rate dependent tension-compression experiments of TRIP980 and TWIP980 (<span><span>Joo et al., 2019</span></span>). In addition, a high speed U-draw bending test was conducted with original and pre-strained specimens. The springback prediction in high speed U-draw bending test was performed by using strain rate-independent isotropic, strain rate-dependent isotropic-kinematic and distortional hardening models. It is identified that the proposed model showed the most accurate prediction for the pre-strained specimen where the possible bilinear and trilinear path change in <span><math><mrow><mn>0</mn><mo>≤</mo><msub><mi>θ</mi><mrow><mi>p</mi><mi>a</mi><mi>t</mi><mi>h</mi><mspace></mspace><mspace></mspace><mi>c</mi><mi>h</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi>e</mi></mrow></msub><mo>≤</mo><msup><mrow><mn>180</mn></mrow><mo>∘</mo></msup></mrow></math></span> is observed while it showed the same accuracy for the original specimen where main strain path change occur in forward-reverse manner (<span><math><mrow><msub><mi>θ</mi><mrow><mi>p</mi><mi>a</mi><mi>t</mi><mi>h</mi><mspace></mspace><mspace></mspace><mi>c</mi><mi>h</mi><mi>a</mi><mi>n</mi><mi>g</mi><mi>e</mi></mrow></msub><mo>=</mo><msup><mrow><mn>180</mn></mrow><mo>∘</mo></msup></mrow></math></span>).</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104197"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142758194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Unusual hardening mediated by {10–12} twins of strongly textured titanium at cryogenic temperature 在低温下,强织构钛的{10-12}孪晶介导了异常硬化
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-01 DOI: 10.1016/j.ijplas.2024.104206
Yu Zhang , Danyang Li , Guowei Zhou , Luyang Tao , Zhuangzhuang Liu , Guohua Fan , Hao Wu
{10–12} twinning is an important deformation mechanism for hexagonal metals; however, its characteristically low critical stress and resulting high twin activity often lead to rapid strain localization and premature failure. Therefore, this study aims to strategically delay {10–12} twinning at the initial deformation stage to prevent the strain localization, and concurrently seeks to reactivate {10–12} twinning at the large deformation stage to facilitate continuous hardening. Guided by these dual objectives, we selected rolled titanium as the model material and designed the loading direction to minimize the Schmid factor of {10–12} twinning, and then introduced cryogenic temperatures as low as 77 K to apply GPa-grade stress, thereby enabling continuous strengthening until the reactivation of {10–12} twinning. Under these specified conditions, the rolled titanium exhibited markedly enhanced mechanical properties; the ultimate strength increased from 618 MPa to 1634 MPa, while the true strain was increased by approximately 0.15 when the temperature was reduced from 298 K to 77 K. More importantly, an unusual strain hardening behavior was experimentally observed at a true strain of 0.16, at which {10–12} twins started to behave as the predominant twinning mechanism. Quantitative analysis further indicated that the large majority of the strain hardening capacity was attributed to high-density {10–12} twins. The present study therefore highlighted the pivotal role of {10–12} twins and offers a novel viewpoint for designing and achieving distinctive mechanical properties through the manipulation of deformation twinning.
{10-12}孪晶是六方金属的重要变形机制;然而,其低临界应力的特点和由此产生的高孪晶活性往往导致快速应变局部化和过早失效。因此,本研究旨在在初始变形阶段有策略地延迟{10-12}孪晶,以防止应变局部化,同时在大变形阶段重新激活{10-12}孪晶,以促进连续硬化。在这两个目标的指导下,我们选择轧制钛作为模型材料,并设计加载方向以最小化{10-12}孪晶的施密德因子,然后引入低至77 K的低温施加gpa级应力,从而实现持续强化,直到{10-12}孪晶重新激活。在此条件下,轧制钛的力学性能得到了显著提高;当温度从298 K降低到77 K时,合金的极限强度从618 MPa提高到1634 MPa,而真应变提高了约0.15。更重要的是,在0.16的真应变下,实验观察到不寻常的应变硬化行为,此时{10-12}孪晶开始表现为主要的孪晶机制。定量分析进一步表明,绝大多数应变硬化能力归因于高密度{10-12}孪晶。因此,本研究强调了{10-12}孪晶的关键作用,并为通过变形孪晶的操纵来设计和实现独特的机械性能提供了一个新的观点。
{"title":"Unusual hardening mediated by {10–12} twins of strongly textured titanium at cryogenic temperature","authors":"Yu Zhang ,&nbsp;Danyang Li ,&nbsp;Guowei Zhou ,&nbsp;Luyang Tao ,&nbsp;Zhuangzhuang Liu ,&nbsp;Guohua Fan ,&nbsp;Hao Wu","doi":"10.1016/j.ijplas.2024.104206","DOIUrl":"10.1016/j.ijplas.2024.104206","url":null,"abstract":"<div><div>{10–12} twinning is an important deformation mechanism for hexagonal metals; however, its characteristically low critical stress and resulting high twin activity often lead to rapid strain localization and premature failure. Therefore, this study aims to strategically delay {10–12} twinning at the initial deformation stage to prevent the strain localization, and concurrently seeks to reactivate {10–12} twinning at the large deformation stage to facilitate continuous hardening. Guided by these dual objectives, we selected rolled titanium as the model material and designed the loading direction to minimize the Schmid factor of {10–12} twinning, and then introduced cryogenic temperatures as low as 77 K to apply GPa-grade stress, thereby enabling continuous strengthening until the reactivation of {10–12} twinning. Under these specified conditions, the rolled titanium exhibited markedly enhanced mechanical properties; the ultimate strength increased from 618 MPa to 1634 MPa, while the true strain was increased by approximately 0.15 when the temperature was reduced from 298 K to 77 K. More importantly, an unusual strain hardening behavior was experimentally observed at a true strain of 0.16, at which {10–12} twins started to behave as the predominant twinning mechanism. Quantitative analysis further indicated that the large majority of the strain hardening capacity was attributed to high-density {10–12} twins. The present study therefore highlighted the pivotal role of {10–12} twins and offers a novel viewpoint for designing and achieving distinctive mechanical properties through the manipulation of deformation twinning.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104206"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142793230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantitative comparison between experiments and crystal plasticity simulations using microstructural clones 利用微结构克隆对实验和晶体塑性模拟进行定量比较
IF 9.4 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2025-01-01 DOI: 10.1016/j.ijplas.2024.104186
Hojun Lim , Kaitlynn M. Fitzgerald , Timothy J. Ruggles , William G. Gilliland , Nicole K. Aragon , Jay D. Carroll
Crystal plasticity finite element (CP-FE) models are now extensively employed to investigate grain-scale deformation in crystalline materials. The fidelity of the model is derived from verification against experimental data; however, it is challenging to quantitatively compare regions of interest across different length scales using various experimental techniques. In this work, we compare CP-FE predictions of local and global mechanical responses to “Microstructural Clones” data, comprising multiple experimental datasets from microscopically identical quasi-2D crystal specimens. These multi-crystal specimens exhibit nearly identical grain morphologies, grain orientations, grain boundary characteristics, and similar dislocation arrangements. Such specimens enable multiple in-situ and ex-situ experiments on nominally identical samples, allowing for the control of several variables and the exploration of the impact of a single variable in a more scientifically rigorous manner. We use these clone experiments to compare texture evolution, surface strain fields, and failure behavior with CP-FE predictions. This procedure provides an objective and quantitative methodology to evaluate the agreement between the model and experimental data, and allows for the testing of various model parameters to improve the CP-FE model.
晶体塑性有限元(CP-FE)模型目前被广泛用于研究晶体材料的晶粒变形。通过对实验数据的验证,得到了模型的保真度;然而,使用各种实验技术在不同长度尺度上定量比较感兴趣的区域是具有挑战性的。在这项工作中,我们比较了局部和全局力学响应的CP-FE预测与“微观结构克隆”数据,包括来自微观上相同的准二维晶体样品的多个实验数据集。这些多晶样品表现出几乎相同的晶粒形态、晶粒取向、晶界特征和相似的位错排列。这些标本可以在名义上相同的样品上进行多次原位和非原位实验,从而可以控制多个变量,并以更严格的科学方式探索单个变量的影响。我们使用这些克隆实验来比较织构演变,表面应变场和破坏行为与CP-FE预测。该程序提供了一种客观和定量的方法来评估模型与实验数据之间的一致性,并允许测试各种模型参数以改进CP-FE模型。
{"title":"Quantitative comparison between experiments and crystal plasticity simulations using microstructural clones","authors":"Hojun Lim ,&nbsp;Kaitlynn M. Fitzgerald ,&nbsp;Timothy J. Ruggles ,&nbsp;William G. Gilliland ,&nbsp;Nicole K. Aragon ,&nbsp;Jay D. Carroll","doi":"10.1016/j.ijplas.2024.104186","DOIUrl":"10.1016/j.ijplas.2024.104186","url":null,"abstract":"<div><div>Crystal plasticity finite element (CP-FE) models are now extensively employed to investigate grain-scale deformation in crystalline materials. The fidelity of the model is derived from verification against experimental data; however, it is challenging to quantitatively compare regions of interest across different length scales using various experimental techniques. In this work, we compare CP-FE predictions of local and global mechanical responses to “Microstructural Clones” data, comprising multiple experimental datasets from microscopically identical quasi-2D crystal specimens. These multi-crystal specimens exhibit nearly identical grain morphologies, grain orientations, grain boundary characteristics, and similar dislocation arrangements. Such specimens enable multiple <em>in-situ</em> and <em>ex-situ</em> experiments on nominally identical samples, allowing for the control of several variables and the exploration of the impact of a single variable in a more scientifically rigorous manner. We use these clone experiments to compare texture evolution, surface strain fields, and failure behavior with CP-FE predictions. This procedure provides an objective and quantitative methodology to evaluate the agreement between the model and experimental data, and allows for the testing of various model parameters to improve the CP-FE model.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104186"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142867256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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International Journal of Plasticity
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