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g-η-Monotone mapping and resolvent operator technique for solving generalized implicit variational-like inclusions
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作者 张清邦 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第1期11-18,共8页
A new class of g-η-monotone mappings and a class of generalized implicit variational-like inclusions involving g-η-monotone mappings are introduced. The resolvent operator of g-η-monotone mappings is defined and it... A new class of g-η-monotone mappings and a class of generalized implicit variational-like inclusions involving g-η-monotone mappings are introduced. The resolvent operator of g-η-monotone mappings is defined and its Lipschitz continuity is presented, An iterative algorithm for approximating the solutions of generalized implicit wriational- like inclusions is suggested and analyzed. The convergence of iterative sequences generated by the algorithm is also proved, 展开更多
关键词 g-η-monotone mapping resolvent operator generalized implicit variational-like inclusion iterative algorithm
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System of set-valued mixed quasi-variational-like inclusions involving H-η-monotone operators in Banach spaces
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作者 丁协平 王中宝 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第1期1-12,共12页
A new system of the set-valued mixed quasi-variational-like inclusions (SSMQVLI) involving H-η-monotone operators is studied in general Banach spaces without uniform smoothness. By using the resolvent operator tech... A new system of the set-valued mixed quasi-variational-like inclusions (SSMQVLI) involving H-η-monotone operators is studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-η-monotone operators, a new iterative algorithm for finding approximate solutions to SSMQVLI is proposed. It is shown that the iterative sequences generated by the algorithm converge strongly to the exact solution of SSMQVLI under appropriate assumptions. These obtained new results have extended and improved previous results. 展开更多
关键词 H-η-monotone operators resolvent operator technique system of set-valued mixed quasi-variational-like inclusions iterative algorithm Banach spaces
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<i>H</i>(.,.)<i>- φ - η -</i>Accretive Operators and Generalized Variational-Like Inclusions
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作者 Rais Ahmad Mohammad Dilshad 《American Journal of Operations Research》 2011年第4期305-311,共7页
In this paper, we generalize H(.,.) accretive operator introduced by Zou and Huang [1] and we call it H(.,.)- φ - η - accretive operator. We define the resolvent operator associated with H(.,.)- φ - η - accretive ... In this paper, we generalize H(.,.) accretive operator introduced by Zou and Huang [1] and we call it H(.,.)- φ - η - accretive operator. We define the resolvent operator associated with H(.,.)- φ - η - accretive operator and prove its Lipschitz continuity. By using these concepts an iterative algorithm is suggested to solve a generalized variational-like inclusion problem. Some examples are given to justify the definition of H(.,.)- φ - η - accretive operator. 展开更多
关键词 H(. .)- φ - η - ACCRETIVE OPERATOR variational-like inclusion RESOLVENT OPERATOR Algorithm Convergence
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On Generalized Multivalued Random Variational-Like Inclusions
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作者 Mohammad Kalimuddin Ahmad Salahuddin . 《Applied Mathematics》 2011年第8期1011-1018,共8页
In this paper, we posed a random iterative algorithm for generalized multivalued random variational like inclusions. We define the random relaxed Lipschitz and relaxed monotone mappings and prove the existence and con... In this paper, we posed a random iterative algorithm for generalized multivalued random variational like inclusions. We define the random relaxed Lipschitz and relaxed monotone mappings and prove the existence and convergence of solutions of the random iterative sequences generated by a random iterative algorithm. 展开更多
关键词 Generalized Multivalued RANDOM Variational Like inclusionS RANDOM Iterative Sequences Measurable SPACE SEPARABLE Real Hilbert SPACE η-Subdifferential HAUSDORFF Metric
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Iterative Algorithm with Mixed Errors for Solving a New System of Generalized Nonlinear Variational-Like Inclusions and Fixed Point Problems in Banach Spaces
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作者 Javad BALOOEE 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2013年第4期593-622,共30页
A new system of generalized nonlinear variational-like inclusions involving A- maximal m-relaxed η-accretive (so-called, (A, η)-accretive in [36]) mappings in q-uniformly smooth Banach spaces is introduced, and ... A new system of generalized nonlinear variational-like inclusions involving A- maximal m-relaxed η-accretive (so-called, (A, η)-accretive in [36]) mappings in q-uniformly smooth Banach spaces is introduced, and then, by using the resolvent operator technique associated with A-maximal m-relaxed ~/-accretive mappings due to Lan et al., the exis- tence and uniqueness of a solution to the aforementioned system is established. Applying two nearly uniformly Lipschitzian mappings 81 and 82 and using the resolvent operator technique associated with A-maximal m-relaxed ~?-accretive mappings, we shall construct a new perturbed N-step iterative algorithm with mixed errors for finding an element of the set of the fixed points of the nearly uniformly Lipschitzian mapping Q = (S1, S2) which is the unique solution of the aforesaid system. We also prove the convergence and stability of the iterative sequence generated by the suggested perturbed iterative algorithm under some suitable conditions, The results presented in this paper extend and improve some known results in the literature. 展开更多
关键词 A-Maximal m-relaxed η-accretive mapping System of generalized non-linear variational-like inclusion Resolvent operator technique Conver-gence and stability Variational convergence
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Artificial intelligence-assisted non-metallic inclusion particle analysis in advanced steels using machine learning:A review
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作者 Gonghao Lian Xiaoming Liu +3 位作者 Qiang Wang Chunguang Shen Yi Wang Wangzhong Mu 《International Journal of Minerals,Metallurgy and Materials》 2026年第2期401-416,共16页
The detection and characterization of non-metallic inclusions are essential for clean steel production.Recently,imaging analysis combined with high-dimensional data processing of metallic materials using artificial in... The detection and characterization of non-metallic inclusions are essential for clean steel production.Recently,imaging analysis combined with high-dimensional data processing of metallic materials using artificial intelligence(AI)-based machine learning(ML)has developed rapidly.This technique has achieved impressive results in the field of inclusion classification in process metallurgy.The present study surveys the ML modeling of inclusion prediction in advanced steels,including the detection,classification,and feature prediction of inclusions in different steel grades.Studies on clean steel with different features based on data and image analysis via ML are summarized.Regarding the data analysis,the inclusion prediction methodology based on ML establishes a connection between the experimental parameters and inclusion characteristics and analyzes the importance of the experimental parameters.Regarding the image analysis,the focus is placed on the classification of different types of inclusions via deep learning,in comparison with data analysis.Finally,further development of inclusion analyses using ML-based methods is recommended.This work paves the way for the application of AIbased methodologies for ultraclean-steel studies from a sustainable metallurgy perspective. 展开更多
关键词 machine learning inclusion classification image analysis data analysis clean steel
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In-situ observation of nonmetallic inclusions in steel using confocal scanning laser microscopy:A review 被引量:4
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作者 Ying Ren Lifeng Zhang 《International Journal of Minerals,Metallurgy and Materials》 2025年第5期975-991,共17页
The characteristics of nonmetallic inclusions formed during steel production have a significant influence on steel performance.In this paper,studies on inclusions using confocal scanning laser microscopy(CSLM)are revi... The characteristics of nonmetallic inclusions formed during steel production have a significant influence on steel performance.In this paper,studies on inclusions using confocal scanning laser microscopy(CSLM)are reviewed and summarized,particularly the col-lision of various inclusions,dissolution of inclusions in liquid slag,and reactions between inclusions and steel.Solid inclusions exhibited a high collision tendency,whereas pure liquid inclusions exhibited minimal collisions because of the small attraction force induced by their<90°contact angle with molten steel.The collision of complex inclusions in molten steel was not included in the scope of this study and should be evaluated in future studies.Higher CaO/Al_(2)O_(3)and CaO/SiO_(2)ratios in liquid slag promoted the dissolution of Al_(2)O_(3)-based in-clusions.The formation of solid phases in the slag should be prevented to improve dissolution of inclusions.To accurately simulate the dissolution of inclusions in liquid slag,in-situ observation of the dissolution of inclusions at the steel-slag interface is necessary.Using a combination of CSLM and scanning electron microscopy-energy dispersive spectroscopy,the composition and morphological evolution of the inclusions during their modification by the dissolved elements in steel were observed and analyzed.Although the in-situ observa-tion of MnS and TiN precipitations has been widely studied,the in-situ observation of the evolution of oxide inclusions in steel during so-lidification and heating processes has rarely been reported.The effects of temperature,heating and cooling rates,and inclusion character-istics on the formation of acicular ferrites(AFs)have been widely studied.At a cooling rate of 3-5 K/s,the order of AF growth rate in-duced by different inclusions,as reported in literature,is Ti-O<Ti-Ca-Zr-Al-O<Mg-O<Ti-Zr-Al-O<Mn-Ti-Al-O<Ti-Al-O<Zr-Ti-Al-O.Further comprehensive experiments are required to investigate the quantitative relationship between the formation of AFs and inclusions. 展开更多
关键词 inclusion STEEL in-situ observation confocal scanning laser microscopy
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In-situ observation on dissolution of CaO-SiO_(2)-Al_(2)O_(3)complex inclusions in refining slag 被引量:1
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作者 Yu-die Gu Ying Ren Li-feng Zhang 《Journal of Iron and Steel Research International》 2025年第2期376-387,共12页
The dissolution behavior of complex inclusions in refining slag was studied using confocal laser scanning microscope.Based on the dissolution curve of complex inclusions,the main rate-limiting link of CaO-SiO_(2)-Al_(... The dissolution behavior of complex inclusions in refining slag was studied using confocal laser scanning microscope.Based on the dissolution curve of complex inclusions,the main rate-limiting link of CaO-SiO_(2)-Al_(2)O_(3)complex inclusions was the diffusion in the molten slag.The dissolution rate of CaO-SiO_(2)-Al_(2)O_(3)complex inclusions was affected by the composition and size of inclusion.The functional relationship between the dimensionless inclusion capacity(Zh)and the dimensionless dissolution rate(Ry)of CaO-SiO_(2)-Al_(2)O_(3)complex inclusions was calculated as Ry=2.10×10^(-6)Zh^(0.160),while it was Ry=2.10×10^(-6)Zh^(0.0087)for Al_(2)O_(3)-CaO complex inclusions.On this basis,the complete dissolution time and rate of the complex inclusions were calculated by using the function relation between the Zh and Ry numbers. 展开更多
关键词 inclusion Confocal laser scanning microscope Refining slag Dissolution kinetics
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Fatigue strength optimization of high-strength steels by precisely controlling microstructure and inclusions 被引量:1
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作者 Zikuan Xu Peng Wang +6 位作者 Peng Zhang Bin Wang Yang Liu Yikun Luan Pei Wang Dianzhong Li Zhefeng Zhang 《Journal of Materials Science & Technology》 2025年第27期165-176,共12页
With the increasing demand for high-performance metallic materials,the improvement of fatigue strength(FS)has become a crucial issue.This study focuses on the AISI 52100 steel,a material with leading fatigue performan... With the increasing demand for high-performance metallic materials,the improvement of fatigue strength(FS)has become a crucial issue.This study focuses on the AISI 52100 steel,a material with leading fatigue performance and low-cost raw material,aiming to further improve its FS.It is found that the fatigue damage mechanism of 52100 steels with different tensile strengths has undergone significant changes,and the inclusions,mainly nitride and oxide,are key factors limiting the further improvement of FS.Therefore,the size reduction and modification of inclusions were attempted through the rare earth addition and strict control of harmful elements.Combining targeted microstructure adjustment,the FS of the 52100 steel has been further enhanced to~1.6 GPa,exceeding that of other metallic materials(performed in uniaxial tension with a stress ratio of R=0.1),and thus establishing it as a standout for its exceptional performance-to-cost ratio.By clarifying the influences of different types of inclusions on fatigue performance and establishing the correlation between micro-hardness(or strength)and FS,an optimization strategy for FS improvement of the 52100 steel was proposed.The FS has been improved by approximately 187 MPa at most by implementing this strategy.These achievements provide feasible technical approaches and theoretical foundations for the anti-fatigue design of metallic materials. 展开更多
关键词 Bearing steel Fatigue strength inclusion Rare earth element Heat treatment
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Effect of La on inclusion evolution and solidification structure of 40Cr steel 被引量:1
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作者 Wang-wang Mao Yan-chong Yu +4 位作者 Le-ru Zhang Jin-ling Zhang Wei Yan An-min Zheng She-bin Wang 《Journal of Iron and Steel Research International》 2025年第6期1678-1690,共13页
Rare earth La was introduced into 40Cr steel in industrial experiments to achieve the purpose of modifying inclusions.The impact of La on the inclusion modification was studied,and its influence on the solidification ... Rare earth La was introduced into 40Cr steel in industrial experiments to achieve the purpose of modifying inclusions.The impact of La on the inclusion modification was studied,and its influence on the solidification structure was further investigated.With adding 0.0023%La,the Al_(2)O_(3)·CaO·CaS inclusions were modified to the LaAlO_(3)·CaO·CaS inclusions.Additionally,the morphology tended to be more spherical,and the proportion of small-sized inclusions increased significantly from 77.8%to 93.5%.The large-sized inclusions were almost completely eliminated.Based on experimental results,a dynamical model elucidating the process of inclusion modification by La was developed.Furthermore,the ratio of equiaxed zone of the solidification structure increased from 22.9%to 31.0%,and the average primary dendrite arm spacing decreased significantly from 288.4 to 226.2μm.Two-dimensional lattice mismatch analysis results determined that LaAlO_(3)can serve as an effective heterogeneous nucleation core,leading to solidification structure refinement.The beneficial transformation of inclusions and refinement of solidification structure are conducive to the cold heading process of 40Cr steel. 展开更多
关键词 40Cr steel LA inclusion modification Structure refinement Dynamical model
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Pulsed electric current treatment: from regulating non-metallic inclusions to inhibiting submerged entry nozzle clogging 被引量:1
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作者 Wen-wen Yu Jin-gang Qi Heng Cui 《Journal of Iron and Steel Research International》 2025年第4期833-848,共16页
Non-metallic inclusions in steel are a significant challenge,affecting material properties and leading to issues such as stress concentration,cracking,and accelerated corrosion.Current methods for removing inclusions,... Non-metallic inclusions in steel are a significant challenge,affecting material properties and leading to issues such as stress concentration,cracking,and accelerated corrosion.Current methods for removing inclusions,including bubble,electromagnetic stirring,filtration separation,fluid flow,and sedimentation,often struggle with the removal of fine inclusions.Apart from these known methods,pulsed electric current(PEC),as an emerging technology,has demonstrated immense potential and environmental advantages.PEC offers adjustable current parameters and simple equipment,making it an attractive alternative to traditional methods.Its green energy-saving features and excellent results in regulating inclusion morphology and migration,as well as inhibiting submerged entry nozzle(SEN)clogging,make it a promising technology.In comparison to continuous current technology,PEC has shown significant advantages in regulating inclusions,not only improving purification efficiency but also demonstrating outstanding performance in flow stability and energy consumption.The ability of PEC to efficiently reduce inclusion numbers enhances the purity and quality of molten steel,improving its mechanical properties.Currently,the theoretical basis for controlling the movement of inclusions by current is mainly composed of three major theories:the double electric layer theory,electromagnetic force reverse separation theory,and electric free energy drive theory.These theories together form an important framework for researchers to understand and optimize the behavior of impurity movement controlled by electric current.Looking ahead,PEC is expected to pave the way for new solutions in directional regulation of inclusion migration,efficient inclusion removal,SEN clogging prevention,and the purification of molten steel. 展开更多
关键词 Pulsed electric current Non-metallic inclusion REGULATION Submerged entry nozzle CLOGGING
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Effect of inclusion and microstructure transformation on corrosion resistance of 316L stainless steel after isothermal heat treatment 被引量:1
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作者 Fu-kang Li Cheng-song Liu +5 位作者 Yong Wang Hua Zhang Jie Li Yuan-yuan Lu Li Xiong Hong-wei Ni 《Journal of Iron and Steel Research International》 2025年第7期2133-2151,共19页
The transformation mechanism of the inclusions and microstructure in 316L stainless steel after post-isothermal heat treatment(IHT)was revealed,along with the pitting behavior of the inclusions in a chloride environme... The transformation mechanism of the inclusions and microstructure in 316L stainless steel after post-isothermal heat treatment(IHT)was revealed,along with the pitting behavior of the inclusions in a chloride environment before and after the transformation.The effect of the inclusion transformation on the pitting corrosion behavior of 316L stainless steel and its intrinsic mechanism was also revealed.Results revealed a gradual transformation of MnO-SiO_(2)inclusions into MnO-Cr_(2)O_(3) within the temperature range of 1373 to 1573 K.MnO-Cr_(2)O_(3)inclusions exhibited minimal dissolution in chloride ion corrosion environments,while MnO-SiO_(2)oxides demonstrated higher electrochemical activity and were more prone to dissolve and form pits.Meanwhile,IHT significantly reduced the dislocation density of stainless steel,rendering it more stable in corrosive environments.X-ray photoelectron spectroscopy peak distributions of the passive films demonstrated that IHT increased the proportion of Cr and Fe oxides and hydroxides in the passive film which improved the stability and corrosion resistance of the steel. 展开更多
关键词 316L stainless steel-Nonmetallic inclusions Pitting corrosion Isothermal heat treatment-Passive film
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Convergence of a New Bregman Projection Method with a Self-adaptive Stepsize for Solving Monotone Inclusion Problems and Variational Inequality Problems in Reflexive Banach Spaces
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作者 CHEN Lulu CAI Gang 《数学进展》 北大核心 2025年第1期141-163,共23页
The purpose of this article is to introduce a new method with a self-adaptive stepsize for approximating a common solution of monotone inclusion problems and variational inequality problems in reflexive Banach spaces.... The purpose of this article is to introduce a new method with a self-adaptive stepsize for approximating a common solution of monotone inclusion problems and variational inequality problems in reflexive Banach spaces.The strong convergence result for our method is established under some standard assumptions without any requirement of the knowledge of the Lipschitz constant of the mapping.Several numerical experiments are provided to verify the advantages and efficiency of proposed algorithms. 展开更多
关键词 Bregman distance variational inequality monotone inclusion maximal operator reflexive Banach space
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Aggregation behavior of Ce-Mg-Mn-O-S composite inclusions in silicon-killed bearing steel and their evolution during heat treatment
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作者 Zirui Yan Wan Zheng +3 位作者 Huirong Zhang Guo Zhao Guangqiang Li Jing Liu 《Journal of Rare Earths》 2025年第3期628-640,I0008,共14页
In order to mitigate the harm of alumina,calcium aluminate,and magnesium aluminum spinel inclusions on the fatigue performance of bearing steel,the effect of Ce-Mg composite treatment on the cleanliness of silicon-kil... In order to mitigate the harm of alumina,calcium aluminate,and magnesium aluminum spinel inclusions on the fatigue performance of bearing steel,the effect of Ce-Mg composite treatment on the cleanliness of silicon-killed GCr15 bearing steel and the evolution of Ce-Mg-Mn-O-S composite inclusions during heat treatment of the steels at 1523 K were investigated in this present work.The results indicate that the cleanliness of S2 with 0.0045 wt%Ce and 0.0016 wt%Mg is better than that in S1 with0.0020 wt%Ce and 0.0011 wt%Mg,which is attributed to the more effective removal of Ce-Mg-Mn-O-S composite inclusions,with help of good aggregation capacity of Ce-containing inclusions and small volume density of Mg-containing inclusions,due to the increase of rare earth and magnesium content.The aspect ratio and area fraction of the Ce-Mg-Mn-O-S composite inclusions in as-cast steel decrease significantly with isothermal treatment at 1523 K for 150 min,due to the effect of(ⅰ)Ostwald aging mechanism of inclusions and(ⅱ)sulfide solid solution during isothermal treatment.With the increase of isothermal treatment time from 150 to 550 min,the aspect ratio and area fraction of the inclusions in SO(untreated steel)and S1 decrease slightly,because spheroidization and solid solution of inclusions reach their basic equilibrium at 1523 K.However,the aspect ratio and area fraction of the Ce-Mg-Mn-O-S composite inclusions in S2 actually increase,and the inclusions evolve into three-phase(two-phase)inclusions,which is attributed to(ⅲ)transformation of phase compositions in inclusions and interfacial reaction between inclusions and steel matrix during isothermal heating.Therefore,the control of inclusions in silicon-killed bearing steel with Ce and Mg composite treatment should be combined with specific heat treatment processes and appropriate rare earth and magnesium contents,to minimize the damage of inclusions on the fatigue performance of bearing steel products. 展开更多
关键词 GCr15 bearing steel Rare earth cerium and magnesium treatment inclusion aggregation behavior Isothermal heating treatment inclusion evolution
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Research Progress on Trimethoprim Cyclodextrin Inclusion Complexes
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作者 Jiedan Liao Jiawei Weng +1 位作者 Zhuoran Deng Lanyi Zhang 《Journal of Clinical and Nursing Research》 2025年第8期359-367,共9页
Trimethoprim(TMP),as a broad-spectrum bacteriostatic antibiotic,is widely used in clinical anti-infection therapy and livestock breeding.However,its low water solubility leads to insufficient bioavailability,which has... Trimethoprim(TMP),as a broad-spectrum bacteriostatic antibiotic,is widely used in clinical anti-infection therapy and livestock breeding.However,its low water solubility leads to insufficient bioavailability,which has become a key problem restricting its development.Cyclodextrins and their derivatives,with their unique cyclic structures,can form inclusion complexes with TMP to improve its properties.This article reviews the pharmacological characteristics of TMP,the types and properties of common cyclodextrins,focusing on introducing various preparation methods of trimethoprim cyclodextrin inclusion complexes and multiple characterization methods for identifying the inclusion complexes,aiming to provide a reference for further research and development of trimethoprim cyclodextrin inclusion complexes. 展开更多
关键词 TRIMETHOPRIM CYCLODEXTRIN inclusion technology Characterization method Research progress
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Influence of surface tension on collision of inclusions on surface of molten steel
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作者 Ming-hui Wu Li-mei Cheng +1 位作者 Ying Ren Li-feng Zhang 《Journal of Iron and Steel Research International》 2025年第11期3838-3846,共9页
Model calculations and laboratory experiments were conducted to investigate the influence of surface tension of the molten steel on the agglomeration trend of Al_(2)O_(3) inclusions.The agglomeration trends of inclusi... Model calculations and laboratory experiments were conducted to investigate the influence of surface tension of the molten steel on the agglomeration trend of Al_(2)O_(3) inclusions.The agglomeration trends of inclusions were compared using the calculated attractiveness.When the S content in the steel increased from 2.7×10^(-6) to 789×10^(-6),the surface tension of the molten steel decreased from 1.91 to 1.39 N/m,while the attractive force between inclusions increased from 5×10^(-18) to 5×10^(-16) N,and the critical collision distance of Al_(2)O_(3) inclusions gradually increased from 30 to 70μm.A model of the relationship between the capillary force of inclusions and S content in steel was established.It was found that the capillary force calculated by the model showed the same trend as the attractive force obtained from experiments,and an increase in the S content promoted the attraction between inclusions. 展开更多
关键词 inclusion AGGLOMERATION Surface tension COLLISION Critical acceleration distance
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Mapping innovation tools and financial inclusion: a bibliometric analysis
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作者 Monica Martinez‑Blasco Francesc Prior Sanz Francesc Martori Adrian 《Financial Innovation》 2025年第1期3640-3675,共36页
This study employs bibliometric and visualisation techniques to analyse global trends in financial inclusion and the innovative tools that promote it.By examining a multidatabase compilation of 4202 documents sourced ... This study employs bibliometric and visualisation techniques to analyse global trends in financial inclusion and the innovative tools that promote it.By examining a multidatabase compilation of 4202 documents sourced from Scopus and Web of Science,the significant role of book chapters in disseminating research in this field is highlighted.Our analysis reveals rapid growth in publications,particularly from China and India,and identifies key influential works and authors.Additionally,it is observed that financial inclusion is approached from a multidisciplinary perspective.The findings of this study also indicate a shift in research focus from traditional concepts such as“housing”and“banking”to“digitalisation”and“sustainability.”Key research trends in financial innovative tools include regulatory frameworks,mobile money,and financial education.The issues discussed in this article seek to contribute to the ongoing dialogue on developing intellectual frameworks withing the financial inclusion literature.They offer valuable insights for policymakers,industry practitioners,and researchers in the fields of financial innovation and inclusion. 展开更多
关键词 Financial inclusion Bibliometric analysis WOS SCOPUS Co-citation CO-OCCURRENCE
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Cerium's role in transformation of inclusions and precipitated phases in Ferrium M54 steel ingots
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作者 Hongchun Zhu Hanxun Luo +6 位作者 Huabing Li Zhiyu He Zhuowen Ni Zhengrong Ai Zhouhua Jiang Hao Feng Shucai Zhang 《Journal of Rare Earths》 2025年第12期2873-2884,I0009,共13页
The addition of Ce significantly enhances cleanliness of steel and modifies precipitation phases.However,there are differences in the effects of different alloy systems,especially its role in M54 steel is insufficient... The addition of Ce significantly enhances cleanliness of steel and modifies precipitation phases.However,there are differences in the effects of different alloy systems,especially its role in M54 steel is insufficiently understood.This study investigates the evolution of inclusions and precipitation phases in M54 steel ingots with varying Ce additions.Results indicate that the addition of Ce reduces the content of impurity elements(O and S)and transforms Mg and Al inclusions into Ce inclusions,which is due to the stronger affinity between Ce and impurity elements such as O and S.Ce inclusions serve as nucleation sites for dendrites,reducing secondary dendrite arm spacing.In addition,these inclusions and Cecontaining precipitated phase also act as nucleation sites for carbide precipitates,effectively refining their distribution by reducing growth spaces and increasing nucleation density.Notably,as Ce content increases from 0 to 0.01 wt%,the precipitation phase content decreases significantly but rises slightly with further increases in Ce content due to the formation of additional Ce-containing precipitates.By quantitatively comparing the dendrite arm spacing,cleanliness,content and size of precipitated phase,it is determined that the optimum addition amount of Ce for M54 steel is about 0.01 wt%. 展开更多
关键词 Rare earths SOLIDIFICATION inclusion Precipitated phase Dendrite structure
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Modification of Al_(2)O_(3) inclusions by cerium in steel: mechanism at atomic scale and kinetic analysis
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作者 Jun Wang Lin-zhu Wang +3 位作者 Chao-yi Chen Jun-qi Li Xiang Li Jing-feng Wang 《Journal of Iron and Steel Research International》 2025年第8期2512-2524,共13页
To mitigate the harmful effects of Al_(2)O_(3) inclusions in steel,it is necessary to conduct comprehensive research on the mechanisms and kinetic laws of Al_(2)O_(3) inclusion modification by Ce.Combined with laborat... To mitigate the harmful effects of Al_(2)O_(3) inclusions in steel,it is necessary to conduct comprehensive research on the mechanisms and kinetic laws of Al_(2)O_(3) inclusion modification by Ce.Combined with laboratory experiments,first-principles calculations,and molecular dynamics simulations,the kinetic model of Ce modification for Al_(2)O_(3) inclusions was established.Based on first-principles calculations,differential charge analysis,density of states analysis,and adsorption energy analysis were performed on the transformation process from Al_(2)O_(3) to CeAlO_(3) at the atomic scale,and the microscopic transformation mechanism of inclusions at the atomic scale was obtained.Molecular dynamics simulations and the solution of mean square displacement function show that the diffusion coefficient for Ce atoms was 2.169×10^(−4) cm^(2)/s,which agreed well with experimental results.In this model,the rate-determining step is the diffusion of Ce atoms across Ce–Al–O inclusions.The relationship between the conversion rate,refining time,and initial radius was discussed.A refining time of 60 s can completely transform Al_(2)O_(3) inclusions less than 2.56μm into CeAlO_(3) inclusions,while refining time of 1200 s is sufficient to modify inclusions size below 11.47μm. 展开更多
关键词 Rare earth STEEL REFINING inclusion Molecular dynamic FIRST-PRINCIPLES
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Numerical simulation of inclusion transport behavior in vacuum induction melting process of nickel-based superalloy
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作者 Long Zhao Zhong-qiu Liu +3 位作者 Ying-qi Zhang Tian Liang Ying-che Ma Bao-kuan Li 《Journal of Iron and Steel Research International》 2025年第11期4052-4067,共16页
Inclusions in nickel-based superalloys significantly influence their mechanical properties which limit the application and development.A two-dimensional axisymmetric model coupling electromagnetic flow,heat transfer,a... Inclusions in nickel-based superalloys significantly influence their mechanical properties which limit the application and development.A two-dimensional axisymmetric model coupling electromagnetic flow,heat transfer,and inclusions transport was developed using the finite element method.The effects of current intensity and frequency on the transport behavior of inclusions and removal rate during vacuum induction melting were investigated using this model.To verify the accuracy of the mathematical model,experiments were conducted using the vacuum induction furnace model VIF200.A comparison of the experimental results with the simulation results reveals an excellent agreement.Four eddies exist in the central section of the molten pool,with any two eddies flowing in opposite directions.The drag force exerted by the eddies causes the inclusions converge toward the four corners of the cut surface.Due to buoyancy,an increase in the particle size of inclusions makes it easier for them to be adsorbed by the free surface,a phenomenon that is particularly noticeable for inclusions with a particle size of 400μm.An increase in current intensity changes the adsorption interface of certain 400-μm inclusions from the free surface to the sidewall.Increasing both current intensity and frequency enhances the crucible removal rate of inclusions,with current intensity exerting a more significant effect,increasing the removal rate by approximately 1% for every 150 A.Upon completion of melting,the ingot is typically obtained by pouring or bottom pouring,and inclusions adsorbed to the free surface are difficult to separate.Therefore,higher current intensity and frequency should be employed during melting to enhance the crucible removal rate. 展开更多
关键词 inclusion Vacuum induction melting Nickel-based superalloy Numerical simulation
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