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Strengthening mechanisms of Mo–Nb–Ti and Ta–Nb–Ti complex-concentrated alloys: Data-driven insights from atomic descriptors and short-range order Mo-Nb-Ti和Ta-Nb-Ti络合物浓缩合金的强化机制:来自原子描述符和短程有序的数据驱动见解
IF 12.8 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-02-01 Epub Date: 2025-11-20 DOI: 10.1016/j.ijplas.2025.104556
Taeyeop Kim , Daegun You , Dongwoo Lee
The design of refractory complex-concentrated alloys (RCCAs) requires a comprehensive understanding of how alloying elements govern microstructure and mechanical response. Here, we report an integrated approach combining high-throughput experiments on Mo-Nb-Ti and Ta-Nb-Ti thin-film alloy libraries with molecular dynamics simulations to examine short range order (SRO). Composition dependent X-ray diffraction and electron microscopy investigations reveal that Mo-Nb-Ti alloys maintain fine grain sizes with minimal temperature dependence, whereas Ta-Nb-Ti alloys undergo substantial grain growth at elevated temperature. Nanoindentation mapping shows that Mo-Nb-Ti alloys consistently exhibit higher hardness and hardness-to-modulus ratios than Ta-Nb-Ti alloys, with strengthening largely affected by solid-solution effects. In contrast, the hardness reduction in Ta-Nb-Ti films deposited at high temperature is directly correlated with grain coarsening. Molecular dynamics simulations further demonstrate that SRO plays a critical role in strengthening and plasticity.
设计难熔复合浓缩合金(RCCAs)需要对合金元素如何控制微观结构和力学响应有全面的了解。在这里,我们报告了一种综合方法,将Mo-Nb-Ti和Ta-Nb-Ti薄膜合金库的高通量实验与分子动力学模拟相结合,以研究短程有序(SRO)。成分相关的x射线衍射和电子显微镜研究表明,Mo-Nb-Ti合金在温度依赖性最小的情况下保持细小的晶粒尺寸,而Ta-Nb-Ti合金在高温下晶粒生长明显。纳米压痕图显示,Mo-Nb-Ti合金的硬度和硬度模量比始终高于Ta-Nb-Ti合金,强化主要受固溶效应影响。高温沉积的Ta-Nb-Ti薄膜硬度降低与晶粒粗化直接相关。分子动力学模拟进一步证明了SRO在强化和塑性方面起着至关重要的作用。
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引用次数: 0
Unveiling deformation and damage evolution of WAAMed high-strength Al alloys across cryogenic to elevated temperatures 揭示低温至高温下WAAMed高强度铝合金的变形与损伤演化
IF 12.8 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-02-01 Epub Date: 2026-01-07 DOI: 10.1016/j.ijplas.2026.104607
Yanan Hu , Mingxue Feng , Chao Yu , Qianhua Kan , Xu Zhang , Shengchuan Wu , Leilei Wang , Feifan Wang , Yanling Xue , Guozheng Kang
This study systematically investigates the deformation behavior and internal damage evolution of wire + arc additively manufactured 2219 aluminum alloy across a temperature range of 133 K to 523 K using in-situ X-ray microtomography. Particular attention is devoted to clarifying the effects of both low and high temperatures on void nucleation, growth, and coalescence within the alloy. The results demonstrate that most voids nucleate through the fracture of eutectic θ (Al2Cu) phases. At elevated temperatures, reduced resistance to void nucleation and growth promotes extensive damage accumulation. In contrast, at cryogenic temperatures, increased resistance to nucleation leads to a lower void density; however, once voids nucleate and locally link, they rapidly coalesce into micro-cracks. Consequently, high-temperature failure is primarily governed by void growth, whereas cryogenic failure is dominated by void nucleation. Based on the identified critical microstructural attributes governing mechanical performance, a micromechanical constitutive model is constructed to describe the deformation behavior of the alloy. In the proposed model, the alloy is regarded as a heterogeneous composite consisting of an Al matrix, manufacturing defects, and eutectic θ phases. The temperature-dependent stress-strain responses are predicted using the Mori-Tanaka homogenization method, with the influence of temperature on damage evolution explicitly incorporated. The model successfully reproduces the stress-strain curves across the investigated temperature range and reflects the effect of damage evolution on the deformation behavior. Furthermore, Shapley additive explanations analysis identifies the temperature as the most influential factor affecting mechanical performance, surpassing the effects of both porosity and phase volume fraction.
本研究采用原位x射线显微断层扫描技术,系统地研究了在133 ~ 523 K温度范围内 + 电弧增材制造的2219铝合金丝的变形行为和内部损伤演变。特别注意澄清低温和高温对合金内空穴形核、生长和聚结的影响。结果表明,大多数孔洞是通过共晶θ (Al2Cu)相断裂形成形核的。在高温下,对孔洞成核和生长的抵抗力降低,促进了广泛的损伤积累。相反,在低温下,对成核的抵抗力增加导致空隙密度降低;然而,一旦空洞成核并局部连接,它们就会迅速合并成微裂纹。因此,高温破坏主要是由空洞生长控制的,而低温破坏主要是由空洞成核控制的。基于确定的控制力学性能的关键组织属性,建立了描述合金变形行为的微观力学本构模型。在提出的模型中,合金被认为是由Al基体、制造缺陷和共晶θ相组成的非均相复合材料。采用Mori-Tanaka均匀化方法预测了温度相关的应力-应变响应,并明确考虑了温度对损伤演化的影响。该模型成功地再现了研究温度范围内的应力应变曲线,反映了损伤演化对变形行为的影响。此外,Shapley加性解释分析认为温度是影响力学性能的最大因素,超过了孔隙度和相体积分数的影响。
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引用次数: 0
Indentation-informed convolutional neural network for simultaneous prediction of non-equibiaxial residual stress and plastic flow 同时预测非等双轴残余应力和塑性流动的凹痕卷积神经网络
IF 12.8 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-02-01 Epub Date: 2026-01-01 DOI: 10.1016/j.ijplas.2025.104606
Minwoo Park , Deunbom Chung , Wanchuck Woo , Seungcheol Oh , Kyeongjae Jeong , Heung Nam Han
This study proposes an integrated finite element (FE) simulation and convolutional neural network (CNN) model designed for the simultaneous prediction of plastic properties and surface in-plane non-equibiaxial residual stress from spherical indentation responses. By eliminating the need for stress-free reference specimens, the proposed framework enables non-destructive prediction. The framework leverages indentation load-depth curves and directional deformation profiles derived from validated FE simulations. Sensitivity analyses identify the indenter radius and penetration ratio as critical factors for improving prediction accuracy and maximizing the sensitivity of indentation responses to variations in residual stress. The influence of non-equibiaxial residual stress states on indentation behavior is further elucidated through a mechanistic investigation, which reveals a close association with cumulative volumetric changes in equivalent plastic strain near the indentation zone. The CNN training performance supports the sensitivity-based determination of optimal indentation settings. The model is shown to achieve a mean absolute error corresponding to below 5 % on average for residual stresses, while the plasticity parameters are also well captured. Experimental assessment on copper specimens with homogeneous residual stress fields verifies the accuracy and adaptability of the developed FE–CNN model. Further validation using additively manufactured stainless steel, exhibiting complex heterogeneous residual stresses, shows strong consistency with neutron diffraction measurements. This FE–CNN framework presents a robust and scalable approach for comprehensive mechanical characterization, offering substantial benefits for assessing structural integrity and reliability across diverse industrial applications without recourse to destructive testing.
本研究提出了一种集成有限元(FE)模拟和卷积神经网络(CNN)模型,用于同时预测球面压痕响应的塑性性能和表面面内非等双轴残余应力。通过消除对无应力参考样本的需求,所提出的框架能够进行非破坏性预测。该框架利用了压痕载荷-深度曲线和从经过验证的有限元模拟得出的定向变形曲线。灵敏度分析表明,压痕半径和侵彻比是提高预测精度和最大化压痕响应对残余应力变化敏感性的关键因素。通过力学研究进一步阐明了非等双轴残余应力状态对压痕行为的影响,揭示了压痕区附近等效塑性应变的累积体积变化与压痕区附近等效塑性应变的累积体积变化密切相关。CNN训练性能支持基于灵敏度的最佳缩进设置的确定。结果表明,该模型对残余应力的平均绝对误差小于5%,同时塑性参数也得到了很好的捕捉。对具有均匀残余应力场的铜试样进行了实验评估,验证了所建立的FE-CNN模型的准确性和适应性。用增材制造的不锈钢进一步验证,显示出复杂的非均匀残余应力,与中子衍射测量结果有很强的一致性。这种FE-CNN框架提供了一种强大的、可扩展的方法来进行全面的力学表征,为评估不同工业应用中的结构完整性和可靠性提供了实质性的好处,而无需诉诸破坏性测试。
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引用次数: 0
Anomalous TRIP effect in an additively manufactured metastable high-entropy alloy at cryogenic temperatures: Implications for mechanical properties, microstructural evolution, and deformation mechanism 低温下增材制造亚稳态高熵合金的反常TRIP效应:对力学性能、显微组织演变和变形机制的影响
IF 12.8 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-02-01 Epub Date: 2025-12-20 DOI: 10.1016/j.ijplas.2025.104596
Yunjian Bai , Yaoyao Wang , Yanle Li , Yansen Li , Guo-jian Lyu , Heng Chen , Chenglong Yang , Fangyi Li
Additive manufacturing (AM) enables the tailored strength-ductility synergy of metastable high-entropy alloys (M-HEAs) by precisely regulating their metastable characteristics. However, the paucity of research on the cryogenic performance of AM-fabricated M-HEAs has impeded their reliable deployment in low-temperature engineering scenarios. This study systematically investigates the Co34Cr20Fe34Ni6Mn6 M-HEA, analyzing its mechanical behavior, microstructural evolution, and deformation mechanisms at cryogenic temperature (77 K), with comparative analysis against its room-temperature (298 K) properties. Additionally, the influence of manufacturing processes (cast vs. AM) on the microstructure and deformation was examined. The results reveal that the sufficient γ-phase retained by the AM process effectively overcomes the limitation of insufficient phase transformation capacity in cast sample. At 77 K, the AM-fabricated sample not only effectively mitigates the grain orientation dependence of phase transformation observed at 298 K—facilitating a uniform γ→ε transformation across the entire sample—but also undergoes a subsequent reverse ε→γ transformation. This reversible phase transformation behavior endows the alloy with an anomalous transformation-induced plasticity (TRIP) effect. The reverse ε→γ transformation is attributed to the combined effects of stacking fault energy/Gibbs free energy, local dissipative heating, and the local stress-strain field. Notably, the anomalous TRIP effect contributes to remarkable hardening, doubling the tensile strength while retaining excellent ductility. Furthermore, this study reveals a cooperative-to-competitive transition in deformation mechanisms between room and cryogenic temperatures. At 298 K, the TRIP effect operates synergistically with full dislocation slip, whereas at 77 K, the TRIP effect competes with full dislocation slip and gradually supplants it as the dominant mechanism. These findings yield cutting-edge insights into the deformation mechanisms of AM-fabricated M-HEAs under cryogenic conditions, offering critical reference for their targeted optimization and engineering application in low-temperature environments.
增材制造(AM)通过精确调节亚稳高熵合金(M-HEAs)的亚稳特性,实现了亚稳高熵合金(M-HEAs)的强度-延性协同效应。然而,对am制造的M-HEAs的低温性能研究的缺乏阻碍了它们在低温工程场景中的可靠部署。本研究系统地研究了Co34Cr20Fe34Ni6Mn6 M-HEA,分析了其在低温(77 K)下的力学行为、微观组织演变和变形机制,并与室温(298 K)性能进行了对比分析。此外,还研究了制造工艺(铸造与增材制造)对微观组织和变形的影响。结果表明,增材制造过程中保留的充足γ相有效地克服了铸样相变能力不足的局限性。在77 K时,am制备的样品不仅有效地减轻了298 K时观察到的相变的晶粒取向依赖性,促进了整个样品的均匀γ→ε转变,而且还经历了随后的反向ε→γ转变。这种可逆相变行为使合金具有异常相变诱导塑性(TRIP)效应。ε→γ的反向转变是层错能/吉布斯自由能、局部耗散加热和局部应力-应变场共同作用的结果。值得注意的是,反常的TRIP效应导致了显著的硬化,在保持优异延展性的同时,拉伸强度增加了一倍。此外,本研究揭示了室温和低温之间变形机制的合作到竞争转变。在298 K时,TRIP效应与位错完全滑移协同作用,而在77 K时,TRIP效应与位错完全滑移相互竞争,并逐渐取代其成为主导机制。这些发现为am制造的M-HEAs在低温条件下的变形机制提供了前沿见解,为其在低温环境下的针对性优化和工程应用提供了重要参考。
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引用次数: 0
Enhancing the strength and plasticity of laminated aluminum alloy by introducing micron-scale pure aluminum interlayers 引入微米级纯铝夹层,提高层合铝合金的强度和塑性
IF 12.8 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-02-01 Epub Date: 2025-12-26 DOI: 10.1016/j.ijplas.2025.104601
Yufeng Song , Lijie Wang , Yuqiang Chen , Wenhui Liu , Ziyi Teng , Qiang Hu , Mingwang Fu
Laminated aluminum alloys (LAAs) are recognized as pivotal materials in aerospace and automotive structures, due to their low density and high specific strength. However, there is an inverse relationship between the strength and plasticity of these alloys, which restricts their further applications in a low-carbon economy. This study proposes the design of micron-scale pure Al interlayers between AA2024/AA7075 layers to inversely strengthen the LAAs by achieving collaborative deformation through interlayer stress gradients and dislocation path modulation, enabling simultaneous enhancement of strength and plasticity. Notably, the micron-layered Al composite (MLAC) exhibits an ultimate tensile strength of 503.4 MPa and elongation of 13.3 %, which are 18.6 % and 29.1 % higher than those of the traditional layered composites (TLACs), significantly surpassing the limitation of the mechanical properties of laminated materials obeying the rule of mixtures (ROM). The underlying strengthening–ductilizing mechanisms are unveiled by in-situ electron backscatter diffraction (EBSD), digital image correlation (DIC), crystal plasticity (CP), and molecular dynamics (MD) based simulations. Results reveal that the strength mismatch between the pure Al layer and the Al alloy layers induces progressive accumulation of soft-layer stress gradient, forming an interfacial stress-affected zone (ISAZs). These zones trigger intricate dislocation-grain interactions and evolve into networked strain bands through the coordinated activation of slip systems. By redistributing local stress fields, these strain bands promote plastic flow as the dominant stress dissipation pathway, dynamically balance interfacial stress concentrations, and induce subcritical microcrack formation, thereby suppressing the tendency for catastrophic brittle fractures. Consequently, these findings establish heterostructure-enabled interlayer design as an effective pathway to achieve strength–ductility synergy in AA2024/AA7075 laminates. The unveiled strengthening–ductilizing mechanism offers a conceptual framework for developing LAAs that transcend conventional mechanical property limitations, obeying ROM.
层合铝合金(LAAs)由于其低密度和高比强度而被公认为航空航天和汽车结构的关键材料。然而,这些合金的强度和塑性之间存在反比关系,这限制了它们在低碳经济中的进一步应用。本研究提出在AA2024/AA7075层之间设计微米尺度的纯Al夹层,通过层间应力梯度和位错路径调制实现LAAs的协同变形,实现强度和塑性的同时增强。值得注意的是,微米层状Al复合材料(MLAC)的极限抗拉强度为503.4 MPa,伸长率为13.3%,分别比传统层状复合材料(TLACs)高18.6%和29.1%,显著超越了层状材料服从混合规则(ROM)的力学性能限制。通过原位电子背散射衍射(EBSD)、数字图像相关(DIC)、晶体塑性(CP)和基于分子动力学(MD)的模拟揭示了潜在的增强-延展性机制。结果表明:纯铝层与铝合金层之间的强度失配导致软层应力梯度逐渐累积,形成界面应力影响区(ISAZs);这些区域触发复杂的位错-晶粒相互作用,并通过滑移系统的协同激活演变成网络应变带。这些应变带通过重新分布局部应力场,促进塑性流动作为主要的应力耗散途径,动态平衡界面应力集中,诱导亚临界微裂纹的形成,从而抑制突变脆性断裂的趋势。因此,这些发现证明了异质结构层间设计是实现AA2024/AA7075层压板强度-延性协同的有效途径。揭示的强化-延展性机制为开发超越常规力学性能限制、服从ROM的LAAs提供了一个概念框架。
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引用次数: 0
Surface severe plastic deformation-enabled deformation behavior control and mechanical property enhancement in metastable ferrous medium-entropy alloys 亚稳亚铁中熵合金表面剧烈塑性变形的变形行为控制与力学性能增强
IF 12.8 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-02-01 Epub Date: 2025-12-13 DOI: 10.1016/j.ijplas.2025.104581
Gang Hee Gu , Sang Guk Jeong , Jae Heung Lee , Stefanus Harjo , Wu Gong , Auezhan Amanov , Jae Wung Bae , Hyeonseok Kwon , Hyoung Seop Kim
Stacking fault energy (SFE) is an intrinsic property that governs the deformation behavior of metallic materials, including dislocation slip, deformation twinning, and phase transformation. In this study, we present a mechanistic perspective demonstrating that the ‘apparent’ SFE and the associated deformation behavior can be tailored by modifying only the localized microstructure (∼100 μm from the surface) through the application of surface severe plastic deformation. This process generates a well-defined gradient microstructure in the near-surface region through grain refinement and an increase in dislocation density. The reduction in apparent SFE induced by localized gradient structure enhances the driving force for martensitic transformation compared to its homogeneous counterpart. This effect originates from the preferential martensite nucleation sites provided by the localized gradient region, as well as from dynamic stress partitioning facilitated by phase interfaces and gradient heterostructure, which synergistically accelerate the growth of martensitic phase. As a result, the deformation behavior was effectively modulated, leading to significantly enhanced mechanical properties. In particular, partial microstructural modification enabled strength enhancement while minimizing the loss of ductility, in clear contrast to conventional approaches based solely on grain refinement or dislocation density enhancement. This work therefore provides phenomenological insight into how localized microstructural engineering can regulate deformation mechanisms and mechanical performance, representing advancements beyond the conventional understanding of mechanical behavior of heterostructured materials.
层错能(SFE)是控制金属材料位错滑移、变形孪晶和相变等变形行为的固有属性。在这项研究中,我们提出了一个机械的观点,证明了“表观”SFE和相关的变形行为可以通过应用表面严重塑性变形来修改局部微观结构(距离表面约100 μm)来定制。该过程通过晶粒细化和位错密度的增加,在近表面区域产生了明确的梯度显微组织。局域梯度结构引起的表观SFE的降低比均匀结构增强了马氏体相变的驱动力。这种效应源于局部梯度区提供的马氏体优先形核位置,以及相界面和梯度异质结构促进的动态应力分配,两者协同促进了马氏体相的生长。结果表明,变形行为得到有效调节,力学性能得到显著提高。特别是,局部的显微组织修饰能够在最大限度地减少延性损失的同时增强强度,这与仅基于晶粒细化或位错密度增强的传统方法形成鲜明对比。因此,这项工作为局部微结构工程如何调节变形机制和机械性能提供了现象学的见解,代表了对异质结构材料力学行为的传统理解之外的进步。
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引用次数: 0
Revealing and mitigating the microcrack-sensitive fatigue behavior of laser powder bed fusion fabricated medium-entropy nanocomposites 揭示和减轻激光粉末床熔合制备中熵纳米复合材料微裂纹敏感疲劳行为
IF 12.8 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-02-01 Epub Date: 2025-12-28 DOI: 10.1016/j.ijplas.2025.104603
Yufei Chen , Tiwen Lu , Xiyu Chen , Xiaoqi Hu , Ning Yao , Xiaofeng Yang , Haitao Lu , Kaishang Li , Binhan Sun , Yunjie Bi , Xian-Cheng Zhang , Shan-Tung Tu
Additive manufacturing (AM) provides a novel avenue for the fabrication of metal matrix nanocomposites with a uniform distribution of reinforcements and excellent static mechanical properties, while few studies have been conducted on their fatigue behavior. In this study, TiCnp/(CoCrNi)94Al3Ti3 nanocomposites were fabricated using powder bed fusion (PBF), with another representative AM processes-directed energy deposition (DED) as a reference for comparison. In the case of similar low-density defects, though PBF-sample had finer microstructure and higher tensile strength than DED-sample, its fatigue endurance limit (350 MPa) was markedly lower than that of the DED sample (550 MPa). Further investigation revealed that the fatigue initiation sources for DED-samples were pores, while fatigue failure of PBF-samples were mainly initiated from manufactured microcracks. Though the average volume of pores in DED (1.9 × 105 μm3) was significantly larger than microcracks in PBF (1.6 × 104 μm3), the latter posed a more serious threat to fatigue performance. Microcracks were associated with Ti segregation at grain boundaries (GBs) and strong solidification shrinkage, both induced by higher solidification rate of PBF. Finally, two methods were applied to reduce the risk of GB cracking in nanocomposites by adjusting the alloy composition. As a result, segregation at GBs in PBF-fabricated nanocomposites was mitigated, reducing the microcrack density and significantly improving the fatigue resistance. The work reveals the origin of microcrack susceptivity in PBF and offers a microstructural strategy for designing high-strength and fatigue-resistant nanocomposites.
增材制造技术为制备增强材料分布均匀且具有优异静态力学性能的金属基纳米复合材料提供了一条新的途径,但对其疲劳性能的研究却很少。本研究采用粉末床熔合(PBF)法制备了TiCnp/(CoCrNi)94Al3Ti3纳米复合材料,并与另一种具有代表性的增材制造工艺——定向能沉积(DED)工艺进行了对比。在相似的低密度缺陷情况下,pbf样品的微观结构更细,抗拉强度也比DED样品高,但其疲劳极限(350 MPa)明显低于DED样品(550 MPa)。进一步研究发现,d型试样的疲劳起裂源为孔隙,而pbf型试样的疲劳破坏主要由人造微裂纹引起。虽然DED中孔隙的平均体积(1.9 × 105 μm3)明显大于PBF中的微裂纹(1.6 × 104 μm3),但后者对疲劳性能的威胁更大。微裂纹与晶界Ti偏析(GBs)和强凝固收缩率有关,这都是由PBF的高凝固速率引起的。最后,采用两种方法通过调整合金成分来降低纳米复合材料中GB裂纹的风险。结果表明,pbf制备的纳米复合材料在GBs处的偏析得到了缓解,降低了微裂纹密度,显著提高了抗疲劳性能。该研究揭示了PBF微裂纹敏感性的起源,为设计高强耐疲劳纳米复合材料提供了微观结构策略。
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引用次数: 0
Modeling strength and ductility of alloys with intragrain compositional inhomogeneities 具有晶内成分不均匀性合金的强度和延展性建模
IF 12.8 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-02-01 Epub Date: 2025-12-29 DOI: 10.1016/j.ijplas.2025.104602
A.M. Smirnov , A.G. Sheinerman , X.T. Li , Z.J. Zhang
Tailoring composition modulation can be a powerful tool to increase strength and ductility of two- and multicomponent alloys. Here we suggest a model that describes the tensile behavior of alloys with three-dimensional composition undulation. Within the model, the stacking fault energy variation, misfit stresses and dislocation pinning by the inhomogeneous solid solution are considered simultaneously. The model reveals that the composition undulation wavelength that provides peak ultimate strength is determined by a balance of three strengthening mechanisms: 1) dislocation pinning by obstacles, which is enhanced at a small undulation wavelength, 2) resistance to dislocation motion due to stacking fault energy variation, which is highest at a moderate undulation wavelength, and 3) dislocation interaction with misfit stresses, which is most pronounced at a high undulation wavelength. In considering the two latter mechanisms we uncovered a sharp transition from the moderate to the high optimum undulation wavelength at a critical value of the ratio of the misfit to the stacking fault energy variation. The two latter mechanisms increase strength at the expense of reduced ductility and do not affect the product of the ultimate strength and the uniform elongation. In contrast, dislocation pinning by obstacles can increase both strength and ductility due to enhanced strain hardening.
调整成分调制是提高双组分和多组分合金强度和延展性的有力工具。本文提出了一种描述具有三维成分波动的合金拉伸行为的模型。模型中同时考虑了层错能变化、错配应力和非均匀固溶体的位错夹紧作用。模型表明,提供峰值极限强度的成分波动波长是由三种强化机制的平衡决定的:1)障碍物对位错的钉住作用,在小波动波长处增强;2)层错能量变化对位错运动的阻力,在中等波动波长处最大;3)位错与错配应力的相互作用,在高波动波长处最明显。在考虑后两种机制时,我们发现在失配与层错能量变化之比的临界值处,从中等最佳波动波长到高最佳波动波长的急剧转变。后两种机制以降低延性为代价提高强度,不影响极限强度和均匀伸长率的乘积。相反,障碍物的位错钉住可以通过强化应变硬化来提高强度和延性。
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引用次数: 0
A multi-scale modeling of complex thermomechanical loading paths in high-temperature shape memory alloys using a crystal-plasticity framework 基于晶体塑性框架的高温形状记忆合金复杂热机械加载路径多尺度建模
IF 12.8 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-02-01 Epub Date: 2025-12-24 DOI: 10.1016/j.ijplas.2025.104598
Adrien R. Cassagne , Dimitris C. Lagoudas , Jean-Briac le Graverend
A crystal-plasticity approach with a mean-field framework using a self-consistent approach was developed for complex thermo-mechanical loading in high-temperature shape memory alloys (HTSMAs). More specifically, an implicit scale transition rule called β-transition rule was employed. A grain-size-dependent martensitic transformation activation criterion was implemented to offer a smooth transformation hardening behavior as well as a saturating transformation strain magnitude function of the local von Mises stress. Two complex loadings were considered: out-of-phase (OP), consisting of a simultaneous increase of stress and decrease of temperature, and in-phase (IP), consisting of a simultaneous increase of stress and temperature. The material parameters were calibrated using isobaric experiments at different stress levels. This calibration was then used to model complex loading paths to evaluate the relevance of using isobaric parameters for the description of complex paths. Computational results are evaluated based on their capability to reproduce the transformation, actuation, and residual strains experimentally observed for the different loading paths considered. Results show a robustness to predict different loading paths using a set of isobaric calibrated parameters. In-phase paths are described on a purely qualitative basis due to the lack of quantitative experimental data. The model developed can capture the first cycle response shape explained by an initial loading in the self-accommodated martensitic state.
采用自洽方法建立了一种具有平均场框架的晶体塑性方法,用于高温形状记忆合金(htsma)的复杂热机械加载。具体来说,采用了一种隐式尺度转换规则β-转换规则。采用晶粒尺寸相关的马氏体相变激活准则来提供光滑相变硬化行为以及局部von Mises应力的饱和相变应变大小函数。考虑了两种复杂载荷:由应力同时增加和温度同时降低组成的非相载荷(OP)和由应力和温度同时增加组成的同相载荷(IP)。采用等压实验对不同应力水平下的材料参数进行了标定。然后使用该校准对复杂加载路径进行建模,以评估使用等压参数描述复杂路径的相关性。计算结果是基于他们的能力,以再现转化,驱动和残余应变实验观察不同的加载路径所考虑的评估。结果表明,使用一组等压校准参数预测不同加载路径具有鲁棒性。由于缺乏定量的实验数据,在纯定性的基础上描述同相路径。所开发的模型可以捕获由自适应马氏体状态的初始载荷解释的第一周期响应形状。
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引用次数: 0
Stress softening damage in strongly nonlinear viscoelastic soft materials: A physics-informed data-driven constitutive model with time–temperature coupling 强非线性粘弹性软材料的应力软化损伤:一个具有时间-温度耦合的物理数据驱动的本构模型
IF 12.8 1区 材料科学 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-02-01 Epub Date: 2025-12-15 DOI: 10.1016/j.ijplas.2025.104582
Alireza Ostadrahimi , Amir Teimouri , Kshitiz Upadhyay , Guoqiang Li
This work introduces a constitutive modeling framework based on a physics-informed Temporal Convolutional Network (TCN) for capturing the extremely nonlinear thermoviscoelastic behavior of soft materials, including large cyclic elongations up to 200%, temperature-dependent viscoelasticity, and Mullins-type damage. In contrast to conventional Mullins or thermo-viscoelastic models—which require specifying hard-coded functional forms and calibrating numerous parameters across 8–12 experiments—the proposed framework defines a new evolution law for stress, damage, and reduced-time temperature effects through a causal temporal architecture. Time–temperature superposition is embedded directly via the Williams–Landel–Ferry (WLF) shift factor, making temperature an intrinsic driver for reduced time rather than an externally appended parameter. This allows the model to learn temperature–rate–damage coupling sequentially, without predefined analytical evolution equations. As a result, the framework requires only three experimental tests for training yet generalizes to six entirely unseen tests that span different temperatures, strain rates, cycle counts, and elongation levels. The model successfully extrapolates to regimes far outside the training domain, including temperatures not used in training, strain rates 2.5 × higher, elongations 50% greater, and significantly longer cyclic histories. Thermodynamic admissibility is promoted by softly enforcing the Clausius–Duhem inequality in the loss function, while damage evolution is constrained by physical principles. The resulting surrogate constitutes a new constitutive model expressed through physics-embedded sequence learning rather than traditional closed-form equations. The trained model is directly implementable in finite element solvers through a VUMAT subroutine, enabling predictive simulations under complex geometries and loading conditions. Its robustness to experimental uncertainty is demonstrated through accurate predictions under 20% Gaussian stress noise. Validation includes three training cases, six independent experimental tests, and a geometry-dependent deployment example involving cyclic Mullins damage in an open-hole specimen, all showing close agreement. These results demonstrate that embedding reduced-time physics into a TCN framework not only accelerates training and improves predictive accuracy but also establishes a fundamentally new, thermodynamically anchored constitutive formulation that surpasses the capabilities of traditional phenomenological models and existing ML-based surrogates.
这项工作介绍了一个基于物理信息的时间卷积网络(TCN)的本构建模框架,用于捕获软材料的极端非线性热粘弹性行为,包括高达200%的大循环伸长,温度依赖的粘弹性和mullins型损伤。与传统的Mullins或热粘弹性模型(需要指定硬编码的功能形式并在8-12个实验中校准大量参数)相比,该框架通过因果时间结构定义了应力,损伤和减少时间温度效应的新演化规律。时间-温度叠加通过Williams-Landel-Ferry (WLF)位移因子直接嵌入,使温度成为缩短时间的内在驱动因素,而不是外部附加参数。这使得模型可以连续学习温度-速率-损伤耦合,而无需预先定义解析演化方程。因此,该框架只需要三个训练实验测试,但推广到六个完全看不见的测试,跨越不同的温度,应变率,循环计数和延伸率水平。该模型成功地外推到远远超出训练范围的区域,包括训练中未使用的温度,应变率高出2.5倍,延伸率高出50%,以及明显更长的循环历史。热力学容许性是通过在损失函数中引入克劳修斯-迪昂不等式来提高的,而损伤演化则受到物理原理的约束。由此产生的代理构成了一个新的本构模型,通过物理嵌入序列学习来表达,而不是传统的封闭形式方程。经过训练的模型可通过VUMAT子程序直接在有限元求解器中实现,从而实现复杂几何形状和负载条件下的预测模拟。通过在20%高斯应力噪声下的准确预测,证明了该方法对实验不确定性的鲁棒性。验证包括3个训练案例、6个独立实验测试和一个几何相关的部署示例,其中涉及裸眼样品的循环Mullins损伤,所有这些都显示出密切的一致性。这些结果表明,将简化时间物理嵌入到TCN框架中不仅可以加速训练并提高预测准确性,还可以建立一个全新的、热力学锚定的本构公式,超越传统现象学模型和现有基于ml的替代品的能力。
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引用次数: 0
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International Journal of Plasticity
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