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Phase-Field Modeling of Stored-Energy-Driven Grain Growth with Intra-Granular Variation in Dislocation Density 储能驱动晶粒生长与晶粒内位错密度变化的相场模型
Pub Date : 2024-03-28 DOI: 10.1088/1361-651x/ad38d1
Guanglong Huang, Alexander Mensah, Marcel Chlupsa, Zachary Croft, Liang Qi, Ashwin J. Shahani, Katsuyo Thornton
We present a phase-field model to simulate the microstructure evolution occurring in polycrystalline materials with a variation in the intra-granular dislocation density. The model accounts for two mechanisms that lead to the grain boundary migration: the driving force due to capillarity and that due to the stored energy arising from a spatially varying dislocation density. In addition to the order parameters that distinguish regions occupied by different grains, we introduce dislocation density fields that describe spatial variation of the dislocation density. We assume that the dislocation density decays as a function of the distance the grain boundary has migrated. To demonstrate and parameterize the model, we simulate microstructure evolution in two dimensions, for which the initial microstructure is based on real-time experimental data. Additionally, we applied the model to study the effect of a cyclic heat treatment on the microstructure evolution. Specifically, we simulated stored-energy-driven grain growth during three thermal cycles, as well as grain growth without stored energy that serves as a baseline for comparison. We showed that the microstructure evolution proceeded much faster when the stored energy was considered. A non-self-similar evolution was observed in this case, while a nearly self-similar evolution was found when the microstructure evolution is driven solely by capillarity. These results suggest a possible mechanism for the initiation of abnormal grain growth during cyclic heat treatment. Finally, we demonstrate an integrated experimental-computational workflow that utilizes the experimental measurements to inform the phase-field model and its parameterization, which provides a foundation for the development of future simulation tools capable of quantitative prediction of microstructure evolution during non-isothermal heat treatment.
我们提出了一种相场模型,用于模拟多晶材料在晶内位错密度变化时发生的微观结构演变。该模型考虑了导致晶界迁移的两种机制:毛细管作用产生的驱动力和空间位错密度变化产生的储能。除了区分不同晶粒所占区域的阶次参数外,我们还引入了描述差排密度空间变化的差排密度场。我们假设差排密度的衰减是晶粒边界迁移距离的函数。为了演示该模型并使其参数化,我们模拟了二维微观结构的演变,其初始微观结构基于实时实验数据。此外,我们还应用该模型研究了循环热处理对微观结构演变的影响。具体来说,我们模拟了三次热循环过程中储能驱动的晶粒生长,以及作为比较基线的无储能晶粒生长。结果表明,在考虑储能的情况下,微观结构的演变速度更快。在这种情况下观察到的是非自相似演化,而当微结构演化仅由毛细管驱动时,则发现了近乎自相似的演化。这些结果表明了循环热处理过程中异常晶粒生长的可能机制。最后,我们展示了实验-计算综合工作流程,该流程利用实验测量结果为相场模型及其参数化提供信息,为未来开发能够定量预测非等温热处理过程中微观结构演变的模拟工具奠定了基础。
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引用次数: 0
Effect of repetitive nano-cutting tool parameters on surface quality and subsurface damage of γ-TiAl alloy 重复纳米切削刀具参数对 γ-TiAl 合金表面质量和表层下损伤的影响
Pub Date : 2024-03-21 DOI: 10.1088/1361-651x/ad3665
Yang Liu, Longyue Liu, Haiyan Li, Baocheng Zhou, Huidong Cao, Ruicheng Feng
In this paper, the molecular dynamics simulation of the repeated nanocutting of single crystal γ-Tial alloy was carried out by selecting different geometric parameters of the second cutting tool by single factor experiment. The cutting force, friction coefficient, subsurface defects, dislocation evolution and surface roughness of the second cutting were analyzed systematically. The results show that when the tool rake angle is 15°, the surface roughness is lower and the surface quality is better. The influence of different second cutting tool rake angle on the surface roughness is not strong. When the rake angle of the second cutting tool and the radius of edge are constant, the average normal cutting force decreases with the increase of the clearance angle of the tool. Under the machining parameters in this paper, the critical clearance angle of the second cutting of single crystal γ-TiAl alloy is between 10° and 15°. When the tool clearance angle is greater than the critical clearance angle, the average cutting force and the machined-surface roughness no longer change significantly. With the increase of the radius of the second cutting tool, the chip decreases, the subsurface defect increases, and the surface roughness of the machined surface also increases with strong regularity.
本文通过单因素实验选择不同的第二切削刀具几何参数,对单晶γ-Tial合金的重复纳米切削进行了分子动力学模拟。系统分析了二次切削的切削力、摩擦系数、表面下缺陷、位错演化和表面粗糙度。结果表明,当刀具前角为 15°时,表面粗糙度较低,表面质量较好。不同的二次切削刀具前角对表面粗糙度的影响不大。当第二把刀具的前角和刃口半径不变时,平均法向切削力随刀具间隙角的增大而减小。在本文的加工参数下,单晶γ-TiAl 合金二次切削的临界间隙角在 10° 至 15° 之间。当刀具间隙角大于临界间隙角时,平均切削力和加工表面粗糙度不再发生明显变化。随着第二把刀具半径的增大,切屑减少,表面下缺陷增加,加工表面粗糙度也有较强的规律性增加。
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引用次数: 0
Corrosion-induced fracture of Cu-Al microelectronics interconnects 铜铝微电子互连器件的腐蚀诱导断裂
Pub Date : 2024-03-14 DOI: 10.1088/1361-651x/ad33de
Kai-chieh Chiang, M. Koslowski
We present a mechano-chemical model that couples corrosion, mechanical response, and fracture. The model is used to understand the failure of Cu wires on Al pads in microelectronic packages using a multi-phase field approach. Under high humidity environments, the Cu-rich intermetallic compounds (IMC), Cu9Al4, formed at the interface between Cu and Al, undergo a corrosion degradation process. The IMC expands while undergoing corrosion, inducing stresses that nucleate and propagate cracks along the interface between the Cu-rich IMC and Cu. Furthermore, the volumetric expansion of the IMC may cause damage to the passivation layer and enhance the nucleation of new corrosion pits. We show that the presence of a crack accelerates the corrosion process. The model developed here can be extended to other systems and applications.
我们提出了一种将腐蚀、机械响应和断裂结合起来的机械化学模型。该模型采用多相场方法,用于理解微电子封装中铝垫上铜线的失效。在高湿度环境下,铜和铝界面上形成的富铜金属间化合物(IMC)Cu9Al4 会发生腐蚀降解过程。IMC 在腐蚀过程中会膨胀,从而产生应力,使富含 Cu 的 IMC 与 Cu 之间的界面产生裂纹并沿裂纹扩展。此外,IMC 的体积膨胀可能会对钝化层造成破坏,并促进新腐蚀坑的成核。我们的研究表明,裂纹的存在会加速腐蚀过程。此处开发的模型可扩展到其他系统和应用中。
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引用次数: 0
The composition effect on the structural and thermodynamic properties of Cu-Ag-Au ternary nanoalloys: A study via molecular dynamics approach 成分对铜银金三元纳米合金结构和热力学性质的影响:分子动力学方法研究
Pub Date : 2024-03-12 DOI: 10.1088/1361-651x/ad332f
Gustavo Cuba-Supanta, Pedro Amao, Fredi Quispe-Huaynasi, Milida Zarella Zarella Pinto Vergara, Elluz Pacheco, S. Flores, Carlos Soncco, Veronica Loaiza-Tacuri, Justo Alcides Rojas Tapia
Metal ternary nanoalloys or trimetallic nanoparticles have emerged, in recent years, as novel and relevant materials in different fields due to the synergy of three metals in a single system that leads to unique physicochemical properties as compared to mono- and bimetallic nanoparticles. In this study, the influence of composition on the structural and thermodynamic properties of Cu-Ag-Au nanoalloys with 5083 atoms is analyzed using molecular dynamics simulations. Relevant thermodynamic quantities are used to describe the melting and solidification behaviors of three models of Cu-Ag-Au nanoalloys. Our results indicate that the melting temperature presents linear and quadratic dependencies with the composition, i.e., for Cu33 Ag67−x Aux , Ag33 Cu67−x Aux , and Au33 Ag67−x Cux are Tm = 912.6 + 1.9x, Tm = 882.3 + 2.7x, and Tm = 1056.6 − 4.9x + 0.07x2, respectively. In addition, most Ag atoms segregate to the surface and the Au and Cu atoms are localized in the center of the nanoalloy during the heating process, and this trend is maintained in the cooling process. The solidification temperature does not have an explicit correlation with the composition. Furthermore, the structural analysis of cooled nanoalloys exhibits local FCC and HCP symmetries, and the excess energy shows that Cu33Ag27Au40, Au33Ag17Cu50, and Ag33Cu37Au30 are relatively more stable to form nanoalloys. Finally, the possibility of controlling the composition in these metal nanoalloys opens up potential applications in plasmonic, catalysis, and bactericidal (by Ag surface segregation) fields.
近年来,金属三元纳米合金或三金属纳米粒子作为新型相关材料在不同领域崭露头角,这是因为与单金属和双金属纳米粒子相比,三种金属在单一体系中的协同作用产生了独特的物理化学特性。本研究利用分子动力学模拟分析了组成对含 5083 个原子的铜银金纳米合金的结构和热力学性质的影响。相关热力学量用于描述三种模型铜银金纳米合金的熔化和凝固行为。结果表明,熔化温度与成分呈线性和二次函数关系,即 Cu33 Ag67-x Aux、Ag33 Cu67-x Aux 和 Au33 Ag67-x Cux 的熔化温度分别为 Tm = 912.6 + 1.9x、Tm = 882.3 + 2.7x 和 Tm = 1056.6 - 4.9x + 0.07x2。此外,在加热过程中,大多数银原子偏析到表面,而金和铜原子则集中在纳米合金的中心,这一趋势在冷却过程中保持不变。凝固温度与成分没有明确的相关性。此外,冷却纳米合金的结构分析显示出局部 FCC 和 HCP 对称性,过剩能量显示 Cu33Ag27Au40、Au33Ag17Cu50 和 Ag33Cu37Au30 形成纳米合金相对更稳定。最后,控制这些金属纳米合金成分的可能性为其在等离子体、催化和杀菌(通过Ag表面隔离)领域的应用提供了可能。
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引用次数: 0
Modelling and simulation of anisotropic cross-linked cellulose fiber networks with an out-of-plane topography 具有平面外形貌的各向异性交联纤维素纤维网的建模与仿真
Pub Date : 2024-03-12 DOI: 10.1088/1361-651x/ad332e
Shubham Agarwal, Sheldon I Green, A. Phani
Non-woven cellulose fiber networks of low areal density are widely used in many industrial applications and consumer products. A discrete element method (DEM) modelling framework is advanced to simulate the formation of strongly anisotropic cellulose fiber network sheets in the dilute limit with simplified hydrodynamic and hydroelastic interactions. Our modelling accounts for in-plane fiber orientation and viscous drag indirectly by using theories developed by Niskanen (1989) and Cox (1970) respectively. Networks formed on a patterned and flat substrate are simulated for different fiber types, and their tensile response is used to assess the influence of the out-of-plane topographical pattern on their stiffness and strength. Sheets with the same grammage and thickness, but composed with a higher fraction of softwood fiber (longer fibers with large diameter), have higher strength and higher strain to failure compared to sheets made from hardwood fibers (short fibers with small diameter). However, varying the fiber fraction produces only an insignificant variation in the initial sheet stiffness. The above simulation predictions are confirmed experimentally for sheets comprised of fibers with different ratios of Eucalyptus kraft and Northern Bleached Softwood Kraft fibers. Sheets with out-of- plane topography show an unsymmetric mass distribution, lower tensile stiffness, and lower tensile strength compared to those formed on a flat substrate. The additional fiber deformation modes activated by the out-of-plane topography, such as bending and twisting, explain these differences in the sheet mechanical characteristics.
无纺纤维素纤维网的单位密度较低,被广泛应用于许多工业应用和消费品中。我们采用离散元素法 (DEM) 建模框架,通过简化流体力学和水弹性相互作用,模拟稀释极限下强各向异性纤维素纤维网片的形成。我们的建模分别采用了 Niskanen(1989 年)和 Cox(1970 年)提出的理论,间接考虑了面内纤维取向和粘性阻力。我们模拟了不同类型纤维在有图案和平坦基底上形成的网络,并利用其拉伸响应来评估平面外地形图案对其刚度和强度的影响。与硬木纤维(直径小的短纤维)制成的板材相比,具有相同克重和厚度,但由较高比例的软木纤维(直径大的长纤维)组成的板材具有更高的强度和更高的破坏应变。然而,不同的纤维比例对板材初始刚度的影响微乎其微。上述模拟预测在由不同比例的桉树牛皮纸纤维和北方漂白软木牛皮纸纤维组成的板材实验中得到了证实。与在平面基底上形成的薄片相比,具有平面外地形的薄片显示出不对称的质量分布、较低的拉伸刚度和拉伸强度。平面外形貌激活的额外纤维变形模式(如弯曲和扭曲)解释了板材机械特性的这些差异。
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引用次数: 0
Synergistic coupling of thermomechanical loading and irradiation damage in Zircaloy-4 锆合金-4 中热力学载荷与辐照损伤的协同耦合作用
Pub Date : 2024-03-07 DOI: 10.1088/1361-651x/ad312b
Daniel J. Long, Yang Liu, Chris Hardie, Fionn P.E. Dunne
This work addresses in-situ synergistic irradiation and thermomechanical loading of nuclear reactor components by linking new mechanistic understanding with crystal plasticity finite element modelling to describe the formation and thermal and mechanical annihilation of dislocation loops. A model of pressurised reactor cladding is constructed to extract realistic boundary conditions for crystal plasticity microstructural sub-modelling. Thermomechanical loads are applied to the sub-model to investigate (i) the unirradiated state, (ii) synergistic coupling of irradiation damage and thermal annihilation of dislocation loops, (iii) synergistic coupling of irradiation damage without thermal annihilation of dislocation loops, and (iv) a post-irradiated state. Results demonstrate that the synergistic coupling of irradiation damage and thermomechanical loads leads to the early onset of plasticity, which is exacerbated by the thermal annihilation of dislocations, while the post-irradiated case remains predominantly elastic due to substantial irradiation hardening. It is shown that full synergistic coupling leads to localisation of quantities linked with crack nucleation including geometrically necessary dislocations and stress.
这项研究通过将新的机理认识与晶体塑性有限元建模联系起来,描述位错环的形成、热湮灭和机械湮灭,从而解决核反应堆部件的原位协同辐照和热机械加载问题。构建了加压反应堆包壳模型,以提取晶体塑性微结构子建模的现实边界条件。对该子模型施加热机械载荷,以研究 (i) 未辐照状态,(ii) 辐照损伤与位错环热湮灭的协同耦合,(iii) 辐照损伤与位错环热湮灭的协同耦合,以及 (iv) 后辐照状态。结果表明,辐照损伤和热机械载荷的协同耦合导致塑性的早期出现,而位错的热湮灭又加剧了塑性的出现,而辐照后的情况则由于大量的辐照硬化而主要保持弹性。研究表明,完全协同耦合会导致与裂纹成核相关的量的局部化,包括几何上必要的位错和应力。
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引用次数: 0
Role of diffusing interstitials on dislocation glide in refractory body centered cubic metals 扩散间隙对难熔体心立方金属中位错滑行的作用
Pub Date : 2024-03-04 DOI: 10.1088/1361-651x/ad2fd6
Lauren T. W. Fey, Abigail Hunter, Irene Beyerlein
In this work, we employ a phase field dislocation dynamics technique to simulate dislocation motion in body centered cubic refractory metals with diffusing interstitials. Two distinct systems are treated, Nb with O interstitials and W with H interstitials, to consider both relatively small and large atomic size interstitials. Simulations without and with driving stress are designed to investigate the role of interstitial type and mobility on the glide of edge- and screw-character dislocations. The simulations reveal the various short- and long-range dislocation–interstitial interactions that can take place and their dependency on interstitial type, site occupation, stress state, and mobility of the interstitials relative to dislocations. We show that while interstitial O increases the breakaway stress for both screw and edge dislocations in Nb, interstitial H in low H concentrations makes screw dislocations easier and the edge dislocations harder to move. The simulations find that screw dislocation glide is enhanced by the presence of interstitials in both systems. Edge dislocation glide is enhanced in W-H and inhibited in Nb-O.
在这项研究中,我们采用相场位错动力学技术来模拟具有扩散间隙的体心立方难熔金属中的位错运动。我们处理了两个不同的系统,即含有 O 间隙的 Nb 和含有 H 间隙的 W,以考虑相对较小和较大原子尺寸的间隙。设计了无驱动应力和有驱动应力的模拟,以研究间隙类型和迁移率对边缘位错和螺旋位错滑行的作用。模拟揭示了位错与间隙之间可能发生的各种短程和长程相互作用,以及它们对间隙类型、位点占据、应力状态和间隙相对于位错的流动性的依赖性。我们发现,在铌中,间隙 O 会增加螺位错和边位错的脱离应力,而低 H 浓度的间隙 H 则会使螺位错更容易移动,边位错更难移动。模拟发现,在这两种体系中,间隙的存在会增强螺位错的滑动。边缘位错滑行在 W-H 中得到增强,而在 Nb-O 中受到抑制。
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引用次数: 0
Accurate and rapid predictions with explainable graph neural networks for small high-fidelity bandgap datasets 利用可解释图神经网络对小型高保真带隙数据集进行准确而快速的预测
Pub Date : 2024-01-25 DOI: 10.1088/1361-651x/ad2285
Jianping Xiao, Li Yang, Shuqun Wang
Accurate and rapid bandgap prediction is a fundamental task in materials science. We propose graph neural networks with transfer learning to overcome the scarcity of training data for high-fidelity bandgap predictions. We also add a perturbation-based component to our framework to improve explainability. The experimental results show that a framework consisting of graph-level pre-training and standard fine-tuning achieves superior performance on all high-fidelity bandgap prediction tasks and training-set sizes. Furthermore, the framework provides a reliable explanation that considers node features together with the graph structure. We also used the framework to screen 105 potential photovoltaic absorber materials.
准确而快速的带隙预测是材料科学的一项基本任务。我们提出了具有迁移学习功能的图神经网络,以克服高保真带隙预测训练数据稀缺的问题。我们还为框架添加了基于扰动的组件,以提高可解释性。实验结果表明,由图级预训练和标准微调组成的框架在所有高保真带隙预测任务和训练集规模上都取得了优异的性能。此外,该框架还提供了可靠的解释,将节点特征与图结构一并考虑。我们还利用该框架筛选了 105 种潜在的光伏吸收材料。
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引用次数: 0
Simulating the Replication and Entanglement of Semi-Rigid Polymers in Nano-Injection Moulding 模拟纳米注塑成型中半刚性聚合物的复制与缠结
Pub Date : 2024-01-25 DOI: 10.1088/1361-651x/ad2286
Y. Jiao, Wenshi Ma
Many polymers have been used to design polymer/metal composite structures with high bond strength through nano-moulding technology. However, whether high-molecular-weight polymers flow deeply into nanostructures and whether polymer entanglement hinders complete infiltration remain contentious issues in theoretical studies. In this study, the effects of the injection pressure, molecular weight of the semi-rigid polymer [polyphenylene sulfide (PPS)], and nanostructure size of the metal surface on the replication quality were investigated by molecular dynamics simulations. Increasing the injection pressure and polymer molecular weight increased the replication quality at practical temperatures. PPS with various chain lengths could completely infiltrate the nanopores. The nanostructure size of the metal surface was weakly negatively correlated with the filling rate, but it was substantially negatively correlated with the infiltration behaviour of the entire PPS chain. The reasons for infiltration of long-chain PPS and the steady evolution of the entanglement density were investigated. The steady entanglement density of PPS indicates that entanglement is not the main reason for the low filling rate. From the mobility of a single chain, the PPS chain flows into nanopores in a snake-like fashion. These results provide new insights to improve the adhesion strength between polymers and metals in nano-injection moulding.
通过纳米模塑技术,许多聚合物已被用于设计具有高结合强度的聚合物/金属复合结构。然而,高分子量聚合物是否能深入纳米结构,聚合物缠结是否会阻碍完全渗透,这些问题在理论研究中仍存在争议。本研究通过分子动力学模拟研究了注射压力、半刚性聚合物[聚苯硫醚(PPS)]的分子量和金属表面纳米结构尺寸对复制质量的影响。在实际温度下,增加注射压力和聚合物分子量可提高复制质量。不同链长的 PPS 可以完全渗入纳米孔。金属表面的纳米结构尺寸与填充率呈弱负相关,但与整个 PPS 链的浸润行为呈显著负相关。研究了长链 PPS 渗透的原因和缠结密度的稳定演变。PPS 稳定的缠结密度表明,缠结并不是填充率低的主要原因。从单链的流动性来看,PPS 链以蛇形方式流入纳米孔。这些结果为提高纳米注塑成型中聚合物与金属之间的粘附强度提供了新的见解。
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引用次数: 0
Microstructure evolution in 439 stainless steels under tensile: phase field simulation and experiment 拉伸条件下 439 不锈钢的微观结构演变:相场模拟与实验
Pub Date : 2024-01-23 DOI: 10.1088/1361-651x/ad2187
Yongbo Liu, Mingtao Wang, Qingcheng Liu, J. Jin, Qing Peng, Y. Zong
A combination of phase-field simulations and experimental validation is utilized to examine the effect of annealing tension on the microstructure evolution of 439 ferrite stainless steel (FSS). The study reveals the competing mechanisms of texture under tensile stress. Furthermore, a phase field model that incorporates anisotropic grain boundary (GB) energy and elastic energy is established. The microstructure of 439 FSS is created using a 3D reconstruction strategy based on the 2D EBSD characterization proposed in this work. Elastic constants are calibrated using actual alloy data and determined through molecular dynamics simulations. Finally, simulations of the grain coarsening process in 439 FSS are successfully achieved, considering both tensile stress and anisotropic GB energy effects. The results reveal that the presence of low-angle grain boundaries (LAGBs) deviates from Hillert model predictions in terms of grain size distribution and slows down the average grain size evolution over time. A significant deviation in the grain size distribution, compared to Hillert predictions, is observed in the textured system under tensile stress. The results of growth kinetics indicate that tensile stress promotes grain growth more than GB energy anisotropy retards microstructure evolution. Both experiment and simulation results consistently demonstrate that grains with <111>//ND orientation experience a better growth proficiency compared to grains of other orientations under tensile stress. This investigation offers fresh insights into managing the ferritic microstructure of FSS to enhance its formability capabilities.
结合相场模拟和实验验证,研究了退火张力对 439 铁素体不锈钢(FSS)微观结构演变的影响。研究揭示了拉伸应力下纹理的竞争机制。此外,还建立了包含各向异性晶界(GB)能和弹性能的相场模型。在本研究提出的二维 EBSD 表征基础上,采用三维重建策略创建了 439 FSS 的微观结构。弹性常数使用实际合金数据进行校准,并通过分子动力学模拟确定。最后,考虑到拉伸应力和各向异性 GB 能量效应,成功模拟了 439 FSS 中的晶粒粗化过程。结果表明,低角度晶界(LAGBs)的存在使晶粒尺寸分布偏离了希勒特模型的预测,并减缓了平均晶粒尺寸随时间的演变。与希勒特预测相比,在拉伸应力作用下的纹理系统中观察到晶粒尺寸分布有明显偏差。生长动力学结果表明,拉伸应力对晶粒生长的促进作用大于 GB 能量各向异性对微结构演变的阻碍作用。实验和模拟结果一致表明,在拉伸应力作用下,取向为 //ND 的晶粒比其他取向的晶粒具有更好的生长能力。这项研究为管理 FSS 的铁素体微观结构以提高其成型能力提供了新的见解。
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引用次数: 0
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Modelling and Simulation in Materials Science and Engineering
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