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Effect of temperature on interface diffusion in micro solder joint under current stressing 被引量:1
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作者 李雪梅 孙凤莲 +1 位作者 张浩 辛瞳 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2015年第5期1699-1703,共5页
The effects of temperature on Cu pad consumption and intermetallic compound(IMC) growth were investigated under current stressing. The Cu/Sn-3.0Ag-0.5Cu(SAC305)/Cu solder joints were used, with a certain current d... The effects of temperature on Cu pad consumption and intermetallic compound(IMC) growth were investigated under current stressing. The Cu/Sn-3.0Ag-0.5Cu(SAC305)/Cu solder joints were used, with a certain current density of 0.76×104A/cm^2 at 100, 140, 160 and 180 °C. The constitutive equations of cathode Cu pad consumption and anode interface IMC growth are established, respectively, based on the loading time and sample temperature. The cathode Cu pad consumption(δ) increases linearly with the loading time and the consumption rate shows parabolic curve relationships with sample temperature. The anode interface IMC thickness(δ1) increased is linearly with the square root of loading time and the interface IMC growth coefficient shows parabolic curve relationship with sample temperature. The δ and δ1 have different variation laws under current stressing, due to the current facilitating larger amount of IMC formation in the bulk solder. 展开更多
关键词 ELECTROMIGRATION element diffusion intermetallic compounds Cu pad consumption
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A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation 被引量:5
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作者 Ningning Yan Zhaojie Zhou 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2008年第3期297-320,共24页
In this paper,we investigate a streamline diffusion finite element approxi- mation scheme for the constrained optimal control problem governed by linear con- vection dominated diffusion equations.We prove the existenc... In this paper,we investigate a streamline diffusion finite element approxi- mation scheme for the constrained optimal control problem governed by linear con- vection dominated diffusion equations.We prove the existence and uniqueness of the discretized scheme.Then a priori and a posteriori error estimates are derived for the state,the co-state and the control.Three numerical examples are presented to illustrate our theoretical results. 展开更多
关键词 Constrained optimal control problem convection dominated diffusion equation stream-line diffusion finite element method a priori error estimate a posteriori error estimate.
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Preparation of Wear Resistant Materials by Melting and Diffusion Process 被引量:1
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作者 余世浩 WEI Xueping ZENG Hui 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2012年第6期1072-1076,共5页
A wear-resistant material reinforced with VCp was manufactured by the in-mold melting process, in which the high-vanadium alloy-rods were melted by high temperature liquid steel and elements diffused into the liquid. ... A wear-resistant material reinforced with VCp was manufactured by the in-mold melting process, in which the high-vanadium alloy-rods were melted by high temperature liquid steel and elements diffused into the liquid. Microstructure of the material was examined by OM, SEM, and XRD, and alloy elements in the diffusion layer were studied by EDS, and the hardness of the material was tested by HRS. The experimental results show that the material gradually changes hardness, which is due to the uniformly existents of carbide particles on martensite matrix and the gradient distribution of vanadium and carbide. 展开更多
关键词 in-mold melting elements diffused reinforced with VCp wear resistant
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Microstructure in the Weld Metal of Austenitic-Pearlitic Dissimilar Steels and Diffusion of Element in the Fusion Zone 被引量:6
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作者 Yajiang LI, Zengda ZOU and Bing ZHOU Department of Materials Engineering, Shandong University, Jinan 250061, China E-mail: yajli@jn-public.sd.cninfo.net 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2001年第3期338-342,共5页
Microstructure and alloy element distribution in the welded joint between austenitic stainless steel (1Cr18Ni9Ti) and pearlitic heat-resistant steel (1Cr5Mo) were researched by means of light microscopy, scanning elec... Microstructure and alloy element distribution in the welded joint between austenitic stainless steel (1Cr18Ni9Ti) and pearlitic heat-resistant steel (1Cr5Mo) were researched by means of light microscopy, scanning electron microscopy (SEM) and electron probe microanalysis (EPMA). Microstructure, divisions of the fusion zone and elemental diffusion distributions in the welded joints were investigated. Furthermore, solidification microstructure and S-ferrite distribution in the weld metal of these steels are also discussed. 展开更多
关键词 Microstructure in the Weld Metal of Austenitic-Pearlitic Dissimilar Steels and diffusion of Element in the Fusion Zone
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Studies on diffusion and profiles of elements in deep-sea manganese nodules 被引量:1
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作者 Luo Shangde , Wang Lei and Huang Yipu Department of Oceanography, Xiamen University, Xiamen, China 《Acta Oceanologica Sinica》 SCIE CAS CSCD 1989年第3期391-400,共10页
Elemental compositions are measured in manganese nodules collected from the Northern Mid-Pacific floor by inductively-coupled plasma atomic emission spectrometry (1CP-AES) and their growth rates are determined by radi... Elemental compositions are measured in manganese nodules collected from the Northern Mid-Pacific floor by inductively-coupled plasma atomic emission spectrometry (1CP-AES) and their growth rates are determined by radiometric methods. The result shows that depth distributions of elements in nodules vary with depth as follows; (i) increase, (ii) decrease and (iii) fluctuation. These internodule variations in elemental compositions are considered to be caused by diffusion and migration of elements in nodules and heterogeneities in textures of nodules. In the present paper, a diffusive model is used to elucidate the inward-increase profile of some elements in nodules. The effective diffusive coefficients are estimated to be of the order of 10-9 cm2/a for Ni, V and Zn in the nodules, which is less than the value reported for radionuclides. 展开更多
关键词 Studies on diffusion and profiles of elements in deep-sea manganese nodules DEEP
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Analysis of Linear Triangular Elements for Convection-diffusion Problems by Streamline Diffusion Finite Element Methods
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作者 ZHOU Jun-ming JIN Da-yong ZHANG Shu-hua 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第1期43-51,共9页
This paper is devoted to studying the superconvergence of streamline diffusion finite element methods for convection-diffusion problems. In [8], under the condition that ε ≤ h^2 the optimal finite element error esti... This paper is devoted to studying the superconvergence of streamline diffusion finite element methods for convection-diffusion problems. In [8], under the condition that ε ≤ h^2 the optimal finite element error estimate was obtained in L^2-norm. In the present paper, however, the same error estimate result is gained under the weaker condition that ε≤h. 展开更多
关键词 CONVECTION-diffusion streamline diffusion finite element methods linear triangular elements SUPERCONVERGENCE
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A new computational approach for modeling diffusion tractography in the brain
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作者 Harsha T.Garimella Reuben H.Kraft 《Neural Regeneration Research》 SCIE CAS CSCD 2017年第1期23-26,共4页
Computational models provide additional tools for studying the brain,however,many techniques are currently disconnected from each other.There is a need for new computational approaches that span the range of physics o... Computational models provide additional tools for studying the brain,however,many techniques are currently disconnected from each other.There is a need for new computational approaches that span the range of physics operating in the brain.In this review paper,we offer some new perspectives on how the embedded element method can fill this gap and has the potential to connect a myriad of modeling genre.The embedded element method is a mesh superposition technique used within finite element analysis.This method allows for the incorporation of axonal fiber tracts to be explicitly represented.Here,we explore the use of the approach beyond its original goal of predicting axonal strain in brain injury.We explore the potential application of the embedded element method in areas of electrophysiology,neurodegeneration,neuropharmacology and mechanobiology.We conclude that this method has the potential to provide us with an integrated computational framework that can assist in developing improved diagnostic tools and regeneration technologies. 展开更多
关键词 embedded elements finite element analysis computational biomechanics explicit axonal fiber tracts neural regeneration diffusion tractography
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Adaptive Finite Element Method for Steady Convection-Diffusion Equation
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作者 Gelaw Temesgen Mekuria Jakkula Anand Rao 《American Journal of Computational Mathematics》 2016年第3期275-285,共12页
This paper examines the numerical solution of the convection-diffusion equation in 2-D. The solution of this equation possesses singularities in the form of boundary or interior layers due to non-smooth boundary condi... This paper examines the numerical solution of the convection-diffusion equation in 2-D. The solution of this equation possesses singularities in the form of boundary or interior layers due to non-smooth boundary conditions. To overcome such singularities arising from these critical regions, the adaptive finite element method is employed. This scheme is based on the streamline diffusion method combined with Neumann-type posteriori estimator. The effectiveness of this approach is illustrated by different examples with several numerical experiments. 展开更多
关键词 Convection-diffusion Problem Streamline diffusion Finite Element Method Boundary and Interior Layers A Posteriori Error Estimators Adaptive Mesh Refinement
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Evolution of secondary phases and properties of 7B04 aluminum alloy during DC homogenization 被引量:4
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作者 何立子 贾品峰 +1 位作者 张林 崔建忠 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2016年第2期319-327,共9页
The effects of the direct current (DC) on the evolutions of hardness and morphology of the secondary phases in 7B04 aluminum alloy homogenized at 380?465 ℃ for 2 h were investigated in detail by electric conductiv... The effects of the direct current (DC) on the evolutions of hardness and morphology of the secondary phases in 7B04 aluminum alloy homogenized at 380?465 ℃ for 2 h were investigated in detail by electric conductivity measurement, hardness test, X-ray diffraction analysis, field emission scanning electron microscopy and energy dispersive spectrometry. The results show that with increasing temperature from 380 to 465 ℃, the electric conductivity of normal homogenized sample decreases from 34.9%IACS to 28.7%IACS, the hardness increases from HV 96 to HV 146, and the area fraction of secondary phase reduces from 4.5% to 1.89%. While, DC homogenized sample has a higher hardness, a lower electric conductivity and a smaller area fraction of secondary phases at the same temperature. The DC enhances the homogenization process by promoting the diffusibility of the solute atoms and the mobility of vacancy. 展开更多
关键词 7B04 aluminum alloy direct current HOMOGENIZATION HARDNESS secondary phase elemental diffusion
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High-current pulsed electron beam modification on microstructure and performance of Cu/CuW diffusion bonding joints
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作者 Na-Na Tian Cong-Lin Zhang +4 位作者 Peng Lyu Jin-Tong Guan Jie Cai Qing-Feng Guan Shun Guo 《Rare Metals》 SCIE EI CAS CSCD 2024年第6期2819-2831,共13页
This study investigates the influence of high-current pulsed electron beam(HCPEB)modification on the microstructure and shear strength of Cu/CuW joints.Reliable solid-state diffusion bonding of modified-Cu(MCu)and mod... This study investigates the influence of high-current pulsed electron beam(HCPEB)modification on the microstructure and shear strength of Cu/CuW joints.Reliable solid-state diffusion bonding of modified-Cu(MCu)and modified-CuW(M-CuW)was achieved by HCPEB modification pretreatment at a temperature of 800-900℃and a pressure of 5 MPa for 10-50 min.Experiments demonstrate that HCPEB modification facilitates the dissolution of W and Cu,resulting in the formation of a Cu_(0.4)W_(0.6)solid solution and thus enhancing the uniform distribution of microstructures.Additionally,HCPEB-induced defects play a beneficial role in promoting the diffusion process by providing fast diffusion paths for elements.The optimal joints with the maximum shear strength of 213.7 MPa were obtained through bonding M-Cu and M-CuW at 900℃and 5 MPa for 30 min,which attributes to the combined effects of fine-grained strengthening and solid solution strengthening.Overall,the application of HCPEB modification showcases its effectiveness in promoting element diffusion and enhancing the mechanical performance of the joints. 展开更多
关键词 HCPEB Element diffusion Shear strength Crystal defects Surface modification
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Abnormal interfacial bonding mechanisms of multi-material additive-manufactured tungsten-stainless steel sandwich structure 被引量:5
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作者 Chao Wei Heng Gu +5 位作者 Yuchen Gu Luchao Liu Yihe Huang Dongxu Cheng Zhaoqing Li Lin Li 《International Journal of Extreme Manufacturing》 SCIE EI 2022年第2期113-128,共16页
Tungsten(W)and stainless steel(SS)are well known for the high melting point and good corrosion resistance respectively.Bimetallic W-SS structures would offer potential applications in extreme environments.In this stud... Tungsten(W)and stainless steel(SS)are well known for the high melting point and good corrosion resistance respectively.Bimetallic W-SS structures would offer potential applications in extreme environments.In this study,a SS→W→SS sandwich structure is fabricated via a special laser powder bed fusion(LPBF)method based on an ultrasonic-assisted powder deposition mechanism.Material characterization of the SS→W interface and W→SS interface was conducted,including microstructure,element distribution,phase distribution,and nano-hardness.A coupled modelling method,combining computational fluid dynamics modelling with discrete element method,simulated the melt pool dynamics and solidification at the material interfaces.The study shows that the interface bonding of SS→W(SS printed on W)is the combined effect of solid-state diffusion with different elemental diffusion rates and grain boundary diffusion.The keyhole mode of the melt pool at the W→SS(W printed on SS)interface makes the pre-printed SS layers repeatedly remelted,causing the liquid W to flow into the sub-surface of the pre-printed SS through the keyhole cavities realizing the bonding of the W→SS interface.The above interfacial bonding behaviours are significantly different from the previously reported bonding mechanism based on the melt pool convection during multiple material LPBF.The abnormal material interfacial bonding behaviours are reported for the first time. 展开更多
关键词 multi-material additive manufacturing laser powder bed fusion interfacial bonding element diffusion keyhole mode
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Effects of Ta content on microstructure and oxidation behavior of AlCoCrFeNiYTa_(x)high entropy alloy
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作者 Cang Gu Jun-Hao Hu +6 位作者 Jian-Bo Song Cheng Xu Ming-Yu Hu Yu-Xuan Zhang Jiang Tian Chao Li Jing Feng 《Rare Metals》 SCIE EI CAS CSCD 2024年第9期4462-4475,共14页
The oxidation behavior of the Al CoCrFeNiYTa_(x)high entropy alloy(HEA)doped with different Ta contents at 1100℃is investigated.In this study,different reasons for the spallation of the oxide scales of HEAs without/w... The oxidation behavior of the Al CoCrFeNiYTa_(x)high entropy alloy(HEA)doped with different Ta contents at 1100℃is investigated.In this study,different reasons for the spallation of the oxide scales of HEAs without/with excessive Ta addition after 1000 h of oxidation are discussed,and the most suitable Ta doping content for this HEA is explored,in which the HEA exhibits both an exceptionally low oxidation rate,and the formation of oxide scales composed of intact a-Al_(2)O_(3).Meanwhile,it is found that the addition of Ta can effectively inhibit the phase transition of β phase,which makes the surface of the oxide scale smoother.By combining our experimental results with Wagner–Hauffe theory,the influence of Ta drag effect on oxide scale growth is explained,which provides some theoretical guidance for the subsequent design of AlCoCrFeNi HEAs,and can lead to the development of thermal barrier coatings at higher service temperature. 展开更多
关键词 High-entropy alloy Al_(2)O_(3)scales OXIDATION Elements diffusion
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Diffusion behavior at void tip and its contributions to void shrinkage during solid-state bonding 被引量:4
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作者 C.Zhang M.Q.Li H.Li 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2018年第8期1449-1454,共6页
Solid-state diffusion bonding is an advanced joining technique, which has been widely used to join similar or dissimilar materials. Generally, it is easy to observe the diffusion behavior during dissimilar bonding, bu... Solid-state diffusion bonding is an advanced joining technique, which has been widely used to join similar or dissimilar materials. Generally, it is easy to observe the diffusion behavior during dissimilar bonding, but for similar bonding the diffusion behavior has yet been observed via experiments. In this study, the diffusion behavior at void tip was firstly observed during similar bonding of stainless steel. Scanning electron microscopy with energy dispersive spectroscopy was used to examine the interface charac- teristic and diffusion behavior. The results showed that a diffusion region was discovered at void tip. Element concentrations of diffusion region were more than those of void region, but less than those of bonded region. This behavior indicated that the diffusion was ongoing at void tip, but the perfect bond has yet formed. The diffusion region was attributed to the interface diffusion from adjacent region to void tip due to the stress gradient along bonding interface. The mass accumulation at void tip transformed the sharp void tip into smooth one at the beginning of void shrinkage, and then resulted in shorter voids. 展开更多
关键词 Stainless steel Micro-void morphology Solid-state bonding Void tip Element diffusion
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Oxidation Performance and Interdiffusion Behaviour of two MCrAlY Coatings on a Fourth-Generation Single-Crystal Superalloy 被引量:1
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作者 K.J.Tan J.J.Liang +5 位作者 X.G.Wang X.P.Tao J.Gong C.Sun Y.Z.Zhou X.F.Sun 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2022年第4期679-692,共14页
The oxidation behaviour of a fourth-generation single-crystal superalloy without coating and with two types of MCrAlY coatings at 1140℃was studied.The results showed that both coatings greatly improved the oxidation ... The oxidation behaviour of a fourth-generation single-crystal superalloy without coating and with two types of MCrAlY coatings at 1140℃was studied.The results showed that both coatings greatly improved the oxidation resistance of the superalloy,and the addition of Hf further improved the oxidation resistance by pinning the oxide layer into the coating.Before and after oxidation,obvious Cr and Al interdiffusion was detected.Inward Cr diffusion induces the precipitation of a topologically close-packed phase,while the diffusion of Al affects the structure of theγ/γ’phase,the solubility of refractory elements,and the formation of an interdiffusion zone. 展开更多
关键词 SUPERALLOYS Metal coatings OXIDATION Electron probe microanalyser(EPMA) Element diffusion
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Ultra-fast amorphization of crystalline alloys by ultrasonic vibrations 被引量:2
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作者 Luyao Li Guo-Jian Lyu +10 位作者 Hongzhen Li Caitao Fan Wenxin Wen Hongji Lin Bo Huang Sajad Sohrabi Shuai Ren Xiong Liang Yun-Jiang Wang Jiang Ma Weihua Wang 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2023年第11期76-88,共13页
The amorphization of alloys is of both broad scientific interests and engineering significance.Despite considered as an efficient strategy to regulate and even achieve record-breaking properties of metallic materials,... The amorphization of alloys is of both broad scientific interests and engineering significance.Despite considered as an efficient strategy to regulate and even achieve record-breaking properties of metallic materials,a facile and rapid method to trigger solid-state amorphization is still being pursued.Here we report such a method to utilize ultrasonic vibration to trigger amorphization of intermetallic compound.The ultrasonic vibrations can cause tunable amorphization at room temperature and low stress(2 MPa)conveniently.Remarkably,the ultrasonic-induced amorphization could be achieved in 60 s,which is 360 times faster than the ball milling(2.16×10^(4) s)with the similar proportion of amorphization.The elements redistribute uniformly and rapidly via the activated short-circuit diffusion.Both experimental evidences and simulations show that the amorphous phase initiates and expands at nanograin boundaries,owing to the induction of lattice instability.This work provides a groundbreaking strategy for developing novel materials with tunable structures and properties. 展开更多
关键词 Amorphization Ultrasonic vibration Lattice instability elemental diffusion
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Distortion correction for the elemental images of integral imaging by introducing the directional diffuser
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作者 Xunbo Yu Xinzhu Sang +5 位作者 Xin Gao Shenwu Yang Boyang Liu Duo Chen Binbin Yan Chongxiu Yu 《Chinese Optics Letters》 SCIE EI CAS CSCD 2018年第4期56-60,共5页
A distortion correction method for the elemental images of integral imaging(Ⅱ) by utilizing the directional diffuser is demonstrated. In the traditional Ⅱ, the distortion originating from lens aberration wraps ele... A distortion correction method for the elemental images of integral imaging(Ⅱ) by utilizing the directional diffuser is demonstrated. In the traditional Ⅱ, the distortion originating from lens aberration wraps elemental images and degrades the image quality severely. According to the theoretical analysis and experiments, it can be proved that the farther the three-dimensional image is displayed from the lens array, the more serious the distortion is. To analyze the process of eliminating lens distortion, one lens and its corresponding elemental image are separated from the traditional Ⅱ. By introducing the directional diffuser, the aperture stop of the separated optical system changes from the eye's pupil to the lens. In terms of contrast experiments, the distortion of the improved display system is corrected effectively. In the experiment, when the distance between the reconstructed image and lens array is equal to 120 mm, the largest lens distortion is decreased from 46.6% to 3.3%. 展开更多
关键词 Distortion correction for the elemental images of integral imaging by introducing the directional diffuser
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Mechanism of adding rhenium to improve hot corrosion resistance of nickel-based single-crystal superalloys 被引量:1
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作者 Fang-Min Yang Li-Xian Lian +1 位作者 Ying Liu Xiu-Fang Gong 《Rare Metals》 SCIE EI CAS CSCD 2021年第8期2076-2082,共7页
Hot corrosion behavior in sulfate salt at 950℃ of Rene N5 single-crystal superalloys with 3 wt%rhenium(NSR)was investigated compared with that of nickel-based single-crystal superalloys without rhenium(NS).After 30-h... Hot corrosion behavior in sulfate salt at 950℃ of Rene N5 single-crystal superalloys with 3 wt%rhenium(NSR)was investigated compared with that of nickel-based single-crystal superalloys without rhenium(NS).After 30-h corrosion,the surface of the NS superalloy is seriously corroded.Many holes and exfoliation appear on the surface.The NSR superalloys exhibit better hot corrosion resistance than the NS superalloys.After 30-h corrosion,a continuous and compact Al_(2)O_(3) film is observed on its surface.The Al_(2)O_(3) film with dense structure formed on the surface provides protection for the matrix.The characterization results show that A1 is aggregated in theγ’phase,while Re is aggregated in the y phase during the formation of oxide scale.Considering that Re can inhibit the diffusion of A1 in the nickel matrix,it is inferred that Re can inhibit the outward diffusion of A1 and prevent the decrease of Al concentration in theγ’phase.High concentration of Al hinders the decomposition of Al_(2)O_(3) due to the reaction of acid and basic dissolution.Al_(2)O_(3) keeps its structure intact and provides protection for the matrix. 展开更多
关键词 Single-crystal superalloy Hot corrosion RHENIUM Al_(2)O_(3)film Element diffusion
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Effects of Ni on austenite stability and fracture toughness in high Co-Ni secondary hardening steel 被引量:1
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作者 Chen-chong Wang Chi Zhang Zhi-gang Yang 《Journal of Iron and Steel Research International》 SCIE EI CAS CSCD 2017年第2期177-183,共7页
Three kinds of high Co Ni secondary hardening steels with different Ni contents were studied. The nanoscale austenite layers formed at the interface of matensite laths were observed. Both observation and diffusion kin... Three kinds of high Co Ni secondary hardening steels with different Ni contents were studied. The nanoscale austenite layers formed at the interface of matensite laths were observed. Both observation and diffusion kinetic simulation results showed that both Ni and Co did not obtain enough time to get the equilibrium content in this system. The Ni content in austenite layers decreased significantly, and Co content increased slightly with the decrease of Ni content in overall composition. The austenite stability was estimated by Olson-Cohen model, in which both chemical and mechanical driving force could be calculated by equilibrium thermodynamic and Mohr's circle methods, respectively. Simulation and mechanical test results showed that The decrease of Ni content in austenite layers would cause the change of austenite stability and decrease the fracture toughness of the steels. When the Ni content in the overall composition was lower than 7 wt. %, the Ni content in y phase would be lower than 20 wt.%. And the simulation value of M; (stress induced critical martensite transformation temperature) would be up to 80 ℃, which was about 60℃ higher than room temperature. Based on the analysis, the Ni content in the overall composition of high Co Ni secondary hardening steels should be higher than 8 wt. % in order to obtain a good fracture toughness. 展开更多
关键词 Austenite stability Transformation-induced plasticity Fracture toughness diffusion kinetic Element distribution
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