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Utilising physics-informed neural networks for optimisation of diffusion coefficients in pseudo-binary diffusion couples 利用物理信息神经网络优化伪二元扩散偶的扩散系数
IF 1.6 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-07-25 DOI: 10.1080/14786435.2023.2237900
H. Kumar, N. Esakkiraja, A. Dash, A. Paul, S. Bhattacharyya
ABSTRACT We propose a numerical inverse method based on physics-informed neural networks (PINN) for calculating composition-dependent diffusion coefficients in pseudo-binary (PB) diffusion couples in multicomponent alloys. Traditional methods rely solely on experimental diffusion profiles as design targets, which can lead to unreliable estimates. In contrast, PINN uses a combination of available data and physics-based constraints to obtain optimised design parameters and exact solutions for constrained governing differential equations. The constraints in PINN include governing partial differential equations, initial and boundary conditions, and any other equality/inequality relations obeyed by physical parameters. Our study shows the necessity of experimentally estimated intrinsic diffusion coefficients for the prediction of reliable composition-dependent mobility data. In the absence of such data, different combinations of unknown intrinsic diffusion coefficients can also produce reasonable approximations of diffusion profiles and interdiffusion coefficients while wrongly predicting more fundamental quantities (i.e. intrinsic diffusivities). Our method utilises PINN to simultaneously obtain optimised design parameters (diffusion coefficients) and exact solutions for governing diffusion equations. The implementation of PINN uses experimentally estimated diffusion coefficients obtained by the PB diffusion couple method, in addition to diffusion profiles, as design targets. The method is extended to non-ideal PB diffusion profiles, such as conventional diffusion couples in which all the components develop diffusion profiles, by incorporating additional constraints such as zero composition gradient of certain component(s) and experimentally estimated interdiffusion coefficients at extrema in the composition profiles. PINN is found to be a promising approach for obtaining reliable estimates of diffusion coefficients in multicomponent alloys.
摘要提出了一种基于物理信息神经网络(PINN)的数值反演方法,用于计算多组分合金中伪二元(PB)扩散偶的成分相关扩散系数。传统的方法完全依赖于实验扩散曲线作为设计目标,这可能导致不可靠的估计。相比之下,PINN使用可用数据和基于物理的约束的组合来获得优化的设计参数和约束控制微分方程的精确解。PINN中的约束包括控制偏微分方程,初始条件和边界条件,以及物理参数服从的任何其他等式/不等式关系。我们的研究表明,实验估计的本征扩散系数对于预测可靠的组分相关迁移率数据是必要的。在没有这些数据的情况下,未知本征扩散系数的不同组合也可以产生合理的扩散曲线和相互扩散系数的近似值,同时错误地预测更基本的量(即本征扩散系数)。我们的方法利用PINN同时获得最优设计参数(扩散系数)和控制扩散方程的精确解。PINN的实现采用PB扩散偶法得到的实验估计的扩散系数,以及扩散曲线作为设计目标。通过引入附加约束,如某些组分的零组分梯度和实验估计的组分分布极值处的相互扩散系数,将该方法扩展到非理想的PB扩散分布,例如所有组分都发展扩散分布的传统扩散偶。PINN被认为是获得多组分合金扩散系数可靠估计的一种很有前途的方法。
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引用次数: 1
Whereabouts of missing atoms in a laser-injected Si (Part III) 激光注入Si中缺失原子的去向(三)
IF 1.6 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-07-18 DOI: 10.1080/14786435.2023.2211808
H. Saka, H. Iwata, M. Takagi
ABSTRACT Microstructure of laser induced modified volume (LIMV) in Si was examined using transmission electron microscopy (TEM) and infra-red optical microscopy. Dominant features of LIMV are voids, dislocations, cracks and non-DS phases of Si. Nucleation of dislocations and cracks can be accounted for by dilatation caused by local temperature rise near the focus of laser. Mass of Si wafer before and after laser injection was conserved by laser injection. Therefore, those Si atoms which must have existed in pre-void, that is, that area which on laser injection is transformed to void, also stay in Si matrix. The void is thermally stable up to ∼800oC, however, it becomes unstable above ∼800oC. That is, void (or LIMV) fades above ∼800oC under infra-red optical microscope. In TEM, after annealing at 1000oC, 1∼a few μm diameter voids which had been present in the as-laser-injected Si, disappeared and very fine voids (nano-voids) appeared. In the cross-sectional TEM of LIMV sitting near the exiting surface of laser beam, a gap was observed between the exiting surface and a protective coat (W). Si atoms in pre-void become plasmas on laser irradiation. In other words, Si atom is dissociated into Si+n and n free electrons (n =1 ∼ 14). The ionized Si (Si+n) forms a void but some of them are dispersed in the adjacent matrix of DS-Si. On the other hand, free electrons gain a high energy and travel far away from the void: The ionized Si (Si+n) and free electrons do not recombine to annihilate.
摘要:采用透射电子显微镜(TEM)和红外光学显微镜研究了激光诱导改性体积(LIMV)在Si中的微观结构。LIMV的主要特征是Si的空洞、位错、裂纹和非ds相。位错和裂纹的形核可以用激光焦点附近局部温度升高引起的膨胀来解释。激光注入前后硅晶片的质量守恒。因此,那些必须存在于预空洞(即激光注入转化为空洞的区域)中的Si原子也留在了Si矩阵中。该空洞在~ 800℃时热稳定,但在~ 800℃以上就变得不稳定。也就是说,在红外光学显微镜下,真空(或LIMV)在~ 800℃以上消失。在TEM中,在1000℃退火后,激光注入Si中存在的1 ~几μm直径的空洞消失了,出现了非常细小的空洞(纳米空洞)。在靠近激光束出表面的LIMV的横截面TEM中,观察到出表面与保护层(W)之间存在间隙,预空隙中的Si原子在激光照射下成为等离子体。换句话说,Si原子解离成Si+n和n个自由电子(n =1 ~ 14)。电离后的Si (Si+n)形成空洞,但部分分散在相邻的DS-Si基体中。另一方面,自由电子获得高能量,并远离真空:电离的Si (Si+n)和自由电子不会重新结合湮灭。
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引用次数: 1
A strategy to reveal the laser ablation resistance mechanism of Cu-W alloy: experiments and simulations 揭示Cu-W合金抗激光烧蚀机理的一种策略:实验与模拟
IF 1.6 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-07-10 DOI: 10.1080/14786435.2023.2228214
Chao Jiang, Renqiang Jiao, Zhihong Zhang, Zhicong He, B. Dong
ABSTRACT Cu-W70-90 (wt.%) alloys were prepared by infiltration method, and the laser ablation experiments were conducted. The laser ablation resistance mechanism of Cu-W alloy was revealed with the guidance of the mathematic model coupling heat and fluid flow. By comprehensively analysing the calculation and the experimental results, the laser spot generated giant heat which will vaporise and melt the alloy respectively close to and away from the centre of the laser spot. The vaporisation of the alloy and the temperature gradient opposite to the laser propagation direction will significantly affect the flow field and make the molten alloy splash around. It was also quantitively proven that the W-rich phases with a high melting point can significantly increase the ablation resistance of Cu-W alloy by decreasing the ablation depth. The calculation results present a relatively high accuracy, this work will thus contribute to the application of the mathematic models in the laser processing field.
采用浸渍法制备Cu-W70-90 (wt.%)合金,并进行激光烧蚀实验。在热流耦合数学模型的指导下,揭示了Cu-W合金抗激光烧蚀机理。通过对计算和实验结果的综合分析,激光光斑产生了巨大的热量,使靠近激光光斑中心和远离激光光斑中心的合金分别蒸发和熔化。合金的汽化和与激光传播方向相反的温度梯度会对流场产生明显的影响,使合金熔液飞溅。定量证明了高熔点富w相可以通过减小烧蚀深度来显著提高Cu-W合金的抗烧蚀性。计算结果具有较高的精度,有助于数学模型在激光加工领域的应用。
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引用次数: 0
Electronic and optical responses of laser dressed triple concentric quantum rings in electric field 电场作用下激光修饰三同心量子环的电子和光学响应
IF 1.6 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-07-09 DOI: 10.1080/14786435.2023.2230461
D. Bejan, A. Radu, C. Stan
ABSTRACT In this paper, we theoretically studied a 3D structure of GaAs/Al0.3Ga0.7As triple concentric quantum rings submitted to the combined action of a non-resonant intense laser and a static electric field. The 3D model was built using the cross-sectional profile of the structure that corresponds to a realistic experimental case of triple rings with different heights and widths. The electric field and the laser field have opposite influence on the energy levels, decreasing or increasing all studied levels, respectively. Linear or quadratic Stark effect can be seen in specific ranges of electric field values, depending on the anisotropy induced by the intense laser field, for given fields orientations. The observed anti-crossings are explained by wave-functions delocalisation from one ring to another or by symmetry exchange between the wave-functions of the inner ring. For the most deformed potential created by perpendicular orientation of electric field and intense laser polarisation, very large absorption peaks, blue-shifts, red-shifts or an oscillatory behaviour in peaks energy and amplitude are obtained in a controllable way by proper manipulation of the fields. This can be helpful for the tunability and optical features improvement of THz detectors or solar cells.
本文从理论上研究了GaAs/Al0.3Ga0.7As三同心量子环在非谐振强激光和静电场共同作用下的三维结构。利用结构的横截面剖面建立三维模型,该模型对应于不同高度和宽度的三环的实际实验案例。电场和激光场对能级的影响相反,分别使所研究的能级减小或增大。线性或二次斯塔克效应可以在特定的电场值范围内看到,这取决于强激光场诱导的各向异性,对于给定的场取向。观察到的反交叉可以用波函数从一个环到另一个环的离域或内环波函数之间的对称交换来解释。对于由垂直方向的电场和强激光极化产生的最变形的势,通过适当的场操纵可以以可控的方式获得非常大的吸收峰,蓝移,红移或峰值能量和振幅的振荡行为。这有助于太赫兹探测器或太阳能电池的可调性和光学特性的改善。
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引用次数: 1
Quantifying the effect of non-equilibrium vacancies on Bragg–Williams ordering 量化非平衡空位对Bragg-Williams有序的影响
IF 1.6 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-07-09 DOI: 10.1080/14786435.2023.2231863
N. Polushkin
ABSTRACT Bragg–Williams (BW) modelling is a mean-field approach to order–disorder phase transformations (ODPT´s) in substitutional alloys. While the BW theory itself is for thermal equilibrium, the relaxation of the alloy to the equilibrium state in terms of the BW approach was studied by Dienes who introduced the chemical balance equation for temporal evolution of the long-range order parameter S. Here, results of solving numerically the Dienes equation are presented, with taking additionally into account that ordering in the alloy occurs through vacancies in atomic lattice. In such a description there are three important parameters that affect the ordering kinetics, namely (1) the interdiffusion coefficient in a disordered alloy, (2) the ratio of initial to equilibrium (thermal) concentration of vacancies, r, and (3) the characteristic timescale τ∝L 2 for vacancy relaxation, where L is the effective distance between sinks/sources of vacancies in the alloy. With example of Fe-rich Fe aluminides Fe x Al1-x (x = 0.6), it is found that, at sufficiently large r, an additional step arises in temporal evolution of S for a time which can be much shorter (scaled as ∝r −1) than the characteristic timescale for ordering at r = 1. The height of this step increases up to unity at sufficient r. The lowest values of r and L are determined, at which non-equilibrium vacancies injected into the alloy can still play the role. This study would be of potential interest for developing the technology of functional alloys (lowering of ordering temperatures) and for obtaining a kind of information about vacancy behaviour in crystals.
Bragg-Williams (BW)模型是替代合金中有序-无序相变(ODPT)的一种平均场方法。虽然BW理论本身是用于热平衡的,但Dienes在BW方法中研究了合金到平衡状态的弛豫,他引入了长程有序参数s的时间演化的化学平衡方程。这里给出了数值求解Dienes方程的结果,并额外考虑了合金中的有序是通过原子晶格中的空位发生的。在这样的描述中,有三个重要的参数影响有序动力学,即(1)无序合金中的相互扩散系数,(2)空位初始与平衡(热)浓度的比值r,以及(3)空位弛豫的特征时间标度τ∝l2,其中L是合金中空位汇/源之间的有效距离。以富铁的Fe铝化物Fe x Al1-x (x = 0.6)为例,我们发现,当r足够大时,S的时间演化中会出现一个额外的步骤,其时间比r = 1时排序的特征时间标度要短得多(标为∝r−1)。当r足够大时,这一步骤的高度增加到1。确定了r和L的最低值,此时注入合金的非平衡空位仍然可以发挥作用。该研究对功能合金技术的发展(降低有序温度)和获得晶体中空位行为的一种信息具有潜在的意义。
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引用次数: 0
Design of a nickel–cobalt based eutectic high entropy alloy (NiCo)1.7AlCrFe with hierarchical microstructural length scales 具有分层组织长度尺度的镍钴基共晶高熵合金(NiCo)1.7AlCrFe的设计
IF 1.6 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-07-01 DOI: 10.1080/14786435.2023.2227793
R. Vikram, K. Dash, Shanmukha Kiran Aramanda, S. Suwas
ABSTRACT A combined nickel–cobalt-based eutectic high entropy alloy (Ni-Co-based HEA) has been designed based on the valence electron concentration (VEC) value. The microstructure of the developed alloy consists of a face-centered cubic (FCC) and ordered cubic (B2) structure, which was validated using CALPHAD. The microstructure is hierarchical with length scales in micrometers (lamellar eutectic morphology) and nanometers (B2 length scale). B2 phase precipitation was observed in the supersaturated FCC primary phase. The orientation relationship (OR) between the phases exhibited a strong Kurdjimov-Sachs (KS) type OR, typical of FCC/BCC interface structures. This EHEA displayed good yield strength at room temperature and strain rate insensitivity in the 10−3–10−1 strain rate range. GRAPHICAL ABSTRACT
摘要基于价电子浓度(VEC)设计了镍钴基复合共晶高熵合金(Ni-Co-based HEA)。制备的合金组织由面心立方(FCC)和有序立方(B2)两种结构组成,并通过CALPHAD进行了验证。微观结构具有微米级(片层共晶形貌)和纳米级(B2长度尺度)的分层结构。过饱和FCC初相中有B2相析出。相间的取向关系表现出强烈的Kurdjimov-Sachs (KS)型取向关系,是FCC/BCC界面结构的典型特征。该EHEA在室温下具有良好的屈服强度,在10−3 ~ 10−1应变速率范围内应变速率不敏感。图形抽象
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引用次数: 0
Nickel partitioning in ZnNi coatings (Ni less than 4 wt.%) and its effect on the coating corrosion behaviour 镍在ZnNi涂层(Ni小于4 wt.%)中的分配及其对涂层腐蚀行为的影响
IF 1.6 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-07-01 DOI: 10.1080/14786435.2023.2231355
K. Jyotheender, Manu Mathai, S. K. Makineni, C. Srivastava
ABSTRACT ZnNi alloy coatings with low Ni content (1–4 wt.% Ni) were electrodeposited over mild steel. Ni addition changed the coating morphology from faceted to hillock, decreased the crystallite size, and shifted the basal plane texture to higher energy (01 1) texture. Zn-1.5 wt.% Ni coating exhibited significantly improved corrosion resistance, even better than the pristine Zn coating. The corrosion resistance properties, however, degraded considerably as the Ni content increased (2.7 and 3.7 wt% Ni). The high corrosion resistance of the Zn-1.5 wt.% Ni coatings was due to the presence of nearly basal texture, low coating strain and evolution of stable γ-phase in the Zn matrix. The corrosion rate for higher Ni addition increased due to high energy surface texture and higher coating strain.
低Ni含量(1-4 wt)的ZnNi合金涂层。% Ni)被电沉积在低碳钢上。Ni的加入使镀层形貌由面状变为丘状,晶粒尺寸减小,基底织构向高能(01 - 1)织构转变。锌- 1.5 wt。% Ni涂层的耐蚀性显著提高,甚至优于纯Zn涂层。然而,随着Ni含量的增加(2.7 wt%和3.7 wt%),耐腐蚀性能明显下降。Zn-1.5 wt的高耐蚀性。% Ni涂层的形成是由于锌基体中存在近基底织构、涂层应变低以及稳定的γ-相的演化。随着Ni含量的增加,合金表面织构能量增大,镀层应变增大,腐蚀速率加快。
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引用次数: 0
A molecular dynamics study of sintering of micro injection moulded alumina nano particles 微注射成型氧化铝纳米颗粒烧结的分子动力学研究
IF 1.6 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-06-22 DOI: 10.1080/14786435.2023.2224092
Indrani Mukherjee, P. Das
ABSTRACT In this study, a comprehensive molecular dynamics (MD) study on the structural evolution of alumina nanoparticles during sintering has been performed using two-sphere model. The effect of variation in particle size and heating rate are investigated. A power-law equation is proposed to explain the increase of dimensionless neck radius, with the increasing sintering time. Two important parameters are extracted from the equation: a characteristic time related to the initiation of neck formation and an exponent related to the rate of neck growth. The variation of shrinkage and density of particles are also used to characterise the sintering of alumina nanoparticles. One of the novel findings is that instead of temporal variation of dimensionless neck radius, its variation with shrinkage can be used to correlate simulation and experimental results. From the results of the variation of heating rate, it is revealed that a lower heating rate initiates neck formation at a lower temperature. The sintering temperature has been successfully estimated for micron-sized particles from the results of molecular dynamics simulation using Herring’s scaling law. Moreover, it is evident from experimental validation that the developed MD model can successfully predict the average dimensionless neck size value of micro injection moulded alumina, at sintered state, and thereby can be effectively used as a process control tool.
在这项研究中,采用双球模型对氧化铝纳米颗粒在烧结过程中的结构演变进行了全面的分子动力学(MD)研究。研究了颗粒大小和加热速率的影响。提出了一个幂律方程来解释无因次颈半径随烧结时间的增加而增大。从方程中提取了两个重要参数:与颈部形成起始相关的特征时间和与颈部生长速率相关的指数。收缩和颗粒密度的变化也被用来表征氧化铝纳米颗粒的烧结。其中一个新发现是,无量纲颈部半径随收缩的变化可以用来关联模拟和实验结果,而不是时间变化。从升温速率变化的结果可以看出,在较低的温度下,较低的升温速率会导致颈状的形成。根据分子动力学模拟结果,利用赫林标度定律成功地估计了微米级颗粒的烧结温度。此外,实验验证表明,所建立的MD模型可以成功地预测微注射成型氧化铝在烧结状态下的平均无因次颈尺寸值,从而可以有效地作为过程控制工具。
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引用次数: 0
Deposition current density-induced grain boundary engineering of electrodeposited cobalt coatings for enhanced electrochemical stability 提高电化学稳定性的电沉积钴涂层的电流密度诱导晶界工程
IF 1.6 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-06-20 DOI: 10.1080/14786435.2023.2221043
G. Kumar, Mrinal Phukon, C. Srivastava
ABSTRACT Cobalt coatings were electrodeposited at different deposition current densities (10 mA·cm−2, 20 mA·cm−2, 30 mA·cm−2, 40 mA·cm−2, 60 mA·cm−2) over mild steel substrate. The coating deposited at 30 mA·cm−2 showed the highest corrosion resistance (Rp = 7515Ω·cm2) due to a higher fraction of Low energy grain boundary constitution (i.e. coincidence site lattices (CSLs) and low angle grain boundaries (LAGB)) and exhibited higher fraction of stabler Co3O4 passive oxide layer. The coatings electrodeposited at 60 mAcm−2 exhibited lower corrosion resistance (Rp = 1304 Ω·cm2) due to a higher fraction of high-angle grain boundaries and a higher fraction of relatively lesser stable Co(OH)2.
以不同的沉积电流密度(10 mA·cm−2、20 mA·cm−2、30 mA·cm−2、40 mA·cm−2、60 mA·cm−2)在低碳钢基体上电沉积钴镀层。在30 mA·cm−2下沉积的涂层由于具有较高比例的低能晶界结构(即重合点阵(csl)和低角度晶界(LAGB))和较高比例的稳定Co3O4被动氧化层,因此具有最高的耐蚀性(Rp = 7515Ω·cm2)。在60 mAcm−2条件下电沉积的镀层由于含有较多的高角度晶界和相对不稳定的Co(OH)2,其耐蚀性较低(Rp = 1304 Ω·cm2)。
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引用次数: 0
Unveiling the effect of interface on torsional behavior of crystalline Al-Al90Sm10 metallic glass nanolaminates 揭示了界面对Al-Al90Sm10金属玻璃纳米层合材料扭转行为的影响
IF 1.6 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2023-06-11 DOI: 10.1080/14786435.2023.2219463
Srishti Mishra, S. Pal
ABSTRACT Influence of configurational design of single crystal Al-Al90Sm10 metallic glass nanolaminates on torsion deformation behaviour of Al/Al90Sm10 nanolaminate (Configuration 1) and Al90Sm10/Al nanolaminate (Configuration 2) from a structural evolution aspect have been analysed by employing Molecular Dynamics for a torsion speed of 1/600 revolution/ps. Adaptive common neighbour (a-CNA) analysis, Dislocation extraction algorithm (DXA), atomic shear strain analysis, and Voronoi Polyhedral (VP) analysis have been carried out to reveal the structural evolution in the nanolaminates specimen subjected to torque. As a consequence of dislocation density localisation under torsional loading in Al/Al90Sm10 nanolaminate high atomic strain gradient is developed in the nanolaminate specimen causing torsional buckling of the Al/Al90Sm10 nanolaminate. The localisation of dislocation density rings induces the formation of dislocation substructure in Al/Al90Sm10 nanolaminate. The crystalline/amorphous interface serves as a free surface and encourages the formation of such dislocation substructure. The collective nucleation, coalescence, and growth of shear transformation zones (STZs) leading to the formation of thick shear bands on either end of Al90Sm10/Al nanolaminate inducing an almost homogenous atomic strain gradient across the surface of the nanolaminate specimen thereby averting torsional buckling. The C/A interface serves as a nucleation site for the generation STZs in Al90Sm10/Al nanolaminate. VPs such as <0, 0, 4, 6>, <0, 3, 6, 4>, <0, 3, 6, 5> <0, 2, 8, 2> have the load bearing capacity and are resistant to fragmentation under the subjugation of torsion loading.
采用分子动力学方法,在扭转速度为1/600转/秒的条件下,从结构演化角度分析了单晶Al-Al90Sm10金属玻璃纳米层合材料构型设计对Al/Al90Sm10纳米层合材料(构型1)和Al90Sm10/Al纳米层合材料(构型2)的扭转变形行为的影响。采用自适应共邻(a-CNA)分析、位错提取算法(DXA)、原子剪切应变分析和Voronoi多面体(VP)分析揭示了纳米层合材料在扭矩作用下的结构演变。由于Al/Al90Sm10纳米层合材料在扭转载荷作用下的位错密度局域化,在纳米层合材料中形成了高原子应变梯度,导致Al/Al90Sm10纳米层合材料发生扭转屈曲。位错密度环的局部化导致了Al/Al90Sm10纳米层中位错亚结构的形成。晶体/非晶态界面作为自由表面,促进了这种位错亚结构的形成。剪切转变区(STZs)的集体形核、聚结和生长导致在Al90Sm10/Al纳米层合物的两端形成厚的剪切带,从而在纳米层合物试样表面产生几乎均匀的原子应变梯度,从而避免扭转屈曲。C/A界面是Al90Sm10/Al纳米层合材料中stz生成的成核位点。,等vp具有一定的承载能力,在扭转荷载作用下具有抗破碎性。
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引用次数: 0
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