Key Engineering Materials最新文献

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Effect of Powdered Swarf on Self-Adhesive Moldings with Machining Center Extracted Bamboo Fiber 加工中心提取的竹纤维粉屑对自粘成型的影响
Key Engineering Materials Pub Date : 2024-02-09 DOI: 10.4028/p-ljj4fo
Kaito Tanaka, Reo Kitazaki, T. Hirogaki, E. Aoyama, H. Nobe
{"title":"Effect of Powdered Swarf on Self-Adhesive Moldings with Machining Center Extracted Bamboo Fiber","authors":"Kaito Tanaka, Reo Kitazaki, T. Hirogaki, E. Aoyama, H. Nobe","doi":"10.4028/p-ljj4fo","DOIUrl":"https://doi.org/10.4028/p-ljj4fo","url":null,"abstract":"To address global environmental challenges and mitigate bamboo-related ecological damage, this study focuses on the development of self-adhesive molded products utilizing solely bamboo fibers and powder obtained through machining center extraction. However, the mechanical properties of these molded products remain inadequate. This study utilizes Scanning Electron Microscope (SEM) and Fourier transform infrared spectrometer (FTIR) analyses to explore the disparities associated with chip size as raw materials for molded products. Bamboo fiber, characterized by its substantial cellulose content and high strength, is contrasted with bamboo powder, which contains significant amounts of lignin and exhibits potential adhesive properties. Building upon these findings, the powder was added to the conventional fiber alone, with results demonstrating that a predetermined ratio (20%) of the powder yields optimal mechanical properties. Moreover, employing a parameter representing the degree of lignin flow utilized in previous molding studies, the study establishes the optimum molding conditions (PD'=1.031) to maximize tensile strength (37.8 MPa) when incorporating a 20% powder mixture.","PeriodicalId":507685,"journal":{"name":"Key Engineering Materials","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139849981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Role of Cell Collapse Mechanism in Mechanical Performance of Aluminium Foam Fabricated by Melt Processing 细胞塌缩机制在熔融加工制造的铝泡沫机械性能中的作用
Key Engineering Materials Pub Date : 2024-02-09 DOI: 10.4028/p-03cmzt
O. Byakova, S. Gnyloskurenko, Andrey Vlasov, Yan Yevych, N. Semenov, Dmytro Kytranov
{"title":"The Role of Cell Collapse Mechanism in Mechanical Performance of Aluminium Foam Fabricated by Melt Processing","authors":"O. Byakova, S. Gnyloskurenko, Andrey Vlasov, Yan Yevych, N. Semenov, Dmytro Kytranov","doi":"10.4028/p-03cmzt","DOIUrl":"https://doi.org/10.4028/p-03cmzt","url":null,"abstract":"The study presents mechanical performance metrics, especially, energy absorption, of aluminium foams fabricated by melt processing with CaCO3 blowing agent without Ca additive. Relatively ductile Al1Mg0.6Si alloy and high strength Al6Zn2.3Mg alloy comprising brittle eutectic domains were employed for the foams manufacture and then examined in conditions of uniaxial quasi-static compression. It was recognized that mechanical response of the foams and energy absorption is radically defined by the mechanism of cell collapse which, in turn, depends on the nature of structural constituents of the cell wall material. In particular, the presence of brittle eutectic domains in the cell wall material of foam based on Al6Zn2.3Mg alloy results in reducing the compressive strength and energy absorption compared to those of foam processed with Al1Mg0.6Si alloy, both deviate markedly from the theoretical predictions. In spite of this experimental verification of foams cell collapse is considered to be strongly required before their engineering application.","PeriodicalId":507685,"journal":{"name":"Key Engineering Materials","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139788974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effect of Individual Alloying Addition on the Microstructure and Creep Behavior of Squeeze Cast AZ91 Magnesium Alloy 单个合金添加物对挤压铸造 AZ91 镁合金微观结构和蠕变行为的影响
Key Engineering Materials Pub Date : 2024-02-09 DOI: 10.4028/p-ix5zle
Hitesh Patil, Abhijit Ghosh, Hemant Borkar
{"title":"Effect of Individual Alloying Addition on the Microstructure and Creep Behavior of Squeeze Cast AZ91 Magnesium Alloy","authors":"Hitesh Patil, Abhijit Ghosh, Hemant Borkar","doi":"10.4028/p-ix5zle","DOIUrl":"https://doi.org/10.4028/p-ix5zle","url":null,"abstract":"The microstructure of AZ91 (Mg-Al) alloy is comprised of α-Mg and β-Mg17Al12 massive phase. The lower melting point associated with the β-Mg17Al12 phase results in poor creep resistance of the alloy. In the present study, the AZ91 alloy with the addition of calcium (Ca, 1wt%) and cerium (Ce, 1wt%) is cast, and their effect on the microstructure and creep behavior of AZ91 alloy have been investigated. Thermally stable phases such as Al2Ca and Al11Ce3 are introduced in the AZ91 alloy through the addition of Ca and Ce elements. Energy dispersive spectroscopy (EDS) and x-ray diffraction analysis confirmed the presence of these intermetallic phases in the microstructure. Tensile creep tests on the as-cast samples were performed at 175°C temperature under 50 MPa stress. The study shows that the creep resistance of AZ91 alloy is greatly improved with the presence of Al2Ca and Al11Ce3 intermetallic phases because of their better thermal stability than β-Mg17Al12.","PeriodicalId":507685,"journal":{"name":"Key Engineering Materials","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139790034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effect of Individual Alloying Addition on the Microstructure and Creep Behavior of Squeeze Cast AZ91 Magnesium Alloy 单个合金添加物对挤压铸造 AZ91 镁合金微观结构和蠕变行为的影响
Key Engineering Materials Pub Date : 2024-02-09 DOI: 10.4028/p-ix5zle
Hitesh Patil, Abhijit Ghosh, Hemant Borkar
{"title":"Effect of Individual Alloying Addition on the Microstructure and Creep Behavior of Squeeze Cast AZ91 Magnesium Alloy","authors":"Hitesh Patil, Abhijit Ghosh, Hemant Borkar","doi":"10.4028/p-ix5zle","DOIUrl":"https://doi.org/10.4028/p-ix5zle","url":null,"abstract":"The microstructure of AZ91 (Mg-Al) alloy is comprised of α-Mg and β-Mg17Al12 massive phase. The lower melting point associated with the β-Mg17Al12 phase results in poor creep resistance of the alloy. In the present study, the AZ91 alloy with the addition of calcium (Ca, 1wt%) and cerium (Ce, 1wt%) is cast, and their effect on the microstructure and creep behavior of AZ91 alloy have been investigated. Thermally stable phases such as Al2Ca and Al11Ce3 are introduced in the AZ91 alloy through the addition of Ca and Ce elements. Energy dispersive spectroscopy (EDS) and x-ray diffraction analysis confirmed the presence of these intermetallic phases in the microstructure. Tensile creep tests on the as-cast samples were performed at 175°C temperature under 50 MPa stress. The study shows that the creep resistance of AZ91 alloy is greatly improved with the presence of Al2Ca and Al11Ce3 intermetallic phases because of their better thermal stability than β-Mg17Al12.","PeriodicalId":507685,"journal":{"name":"Key Engineering Materials","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139849785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Study on the Material Models of the Forming Limit Curves Development for Predicting a Fracture Behavior of AA5754-O in Automotive Parts 用于预测汽车零件中 AA5754-O 断裂行为的成形极限曲线材料模型开发研究
Key Engineering Materials Pub Date : 2024-02-09 DOI: 10.4028/p-qme3i9
Phiraphong Larpprasoetkun, Jidapa Leelaseat, A. Nakwattanaset, Aekkapon Sunanta, S. Suranuntchai
{"title":"Study on the Material Models of the Forming Limit Curves Development for Predicting a Fracture Behavior of AA5754-O in Automotive Parts","authors":"Phiraphong Larpprasoetkun, Jidapa Leelaseat, A. Nakwattanaset, Aekkapon Sunanta, S. Suranuntchai","doi":"10.4028/p-qme3i9","DOIUrl":"https://doi.org/10.4028/p-qme3i9","url":null,"abstract":"The forming limit curve (FLC) is commonly used to predict the formability behavior of sheet metal after the forming process. In this research, the forming limit curve generated from the Materials Model was applied to analyze and predict the fracture behavior of the fuel tank workpiece, a motorcycle part made of AA5754-O material, using the deep drawing process simulated by the finite element method. The research involved a comparison with actual cracks that occur in the automotive industry after molding. To determine the mechanical properties of the AA5754-O material for use in the forming limit curve, a specimen with a thickness of 1.5 mm was subjected to a tensile strength test, providing the necessary input for the mechanical properties in the forming limit curve based on the Keeler-Beizer equation. The forming limit curve is a correlation graph between major strain and minor strain. When the FLC is created from the Materials Model, it is utilized in conjunction with deep drawing drag simulation in the PAM-STAMP program to predict the fracture point. The accuracy of the mathematically generated FLC in predicting fracture behavior was verified after the deep drawing process. The study found that the FLC based on the Keeler-Beizer equation can accurately predict the cracking behavior of AA5754-O sheet metal, enabling identification of the fracture location during the deep drawing process. One advantage of creating the FLC from the material models is its compatibility with the same material but with different workpiece shapes, allowing its use in conjunction with molding simulations using various programs. This approach saves costs associated with testing to obtain the FLC.","PeriodicalId":507685,"journal":{"name":"Key Engineering Materials","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139787770","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Iron-Carbon System: Genesis and Morphology of the Eutectic Involving Hyper-Cementite Carbide 铁碳体系:超硬质合金共晶的成因和形态
Key Engineering Materials Pub Date : 2024-02-09 DOI: 10.4028/p-ftv8w5
Vladyslav Mazur
{"title":"The Iron-Carbon System: Genesis and Morphology of the Eutectic Involving Hyper-Cementite Carbide","authors":"Vladyslav Mazur","doi":"10.4028/p-ftv8w5","DOIUrl":"https://doi.org/10.4028/p-ftv8w5","url":null,"abstract":"A straightforward technology for the thermal cyclic processing of the Fe-C melt has been developed to induce significant super-cooling before crystallization. Eutectic crystallization of pro-eutectic alloys under substantial super-cooling is demonstrated to be a complex process, comprising several partial crystallization processes and the synchronous dissolution of crystalline phases: austenite and two metastable carbides, Fe3C and Fe7C3. The kinetics of the eutectic transformation L→L+Fe7C3 in its microscopic and thermal (DSC) imaging has been studied. In general, crystallization proceeds according to the scheme L→L+Fe7C3+γ→L+Fe7C3+γ+Fe3C→ Fe7C3+γ+Fe3C. Consequently, plate-like eutectic (Fe7C3+γ) with an austenite matrix and ledeburite (Fe3C+γ) with a cementite matrix are formed. A schematic diagram of the metastable phase equilibria in the Fe-C system is provided. In the conducted experiments, phase transformations occur in two subsystems: Fe-Fe3C (at low supercooling) and Fe-Fe7C3 (a subsystem of metastable equilibria of the second, higher degree of metastability at large supercooling). This is confirmed by the replacement of the carbide phase and different equilibrate concentrations of austenite in metastable equilibrium with each of the carbides.","PeriodicalId":507685,"journal":{"name":"Key Engineering Materials","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139787943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Features of Microstructural Evolution and Corrosion Behavior of Ti6Al4V Titanium Alloy Fabricated from Elemental Powder Blends 用元素粉末混合物制造的 Ti6Al4V 钛合金的微结构演变和腐蚀行为特征
Key Engineering Materials Pub Date : 2024-02-09 DOI: 10.4028/p-gvgzk5
Serhii Lavrys, Iryna Pohrelyuk, D. Savvakin, Khrystyna Shliakhetka, M. Danyliak
{"title":"Features of Microstructural Evolution and Corrosion Behavior of Ti6Al4V Titanium Alloy Fabricated from Elemental Powder Blends","authors":"Serhii Lavrys, Iryna Pohrelyuk, D. Savvakin, Khrystyna Shliakhetka, M. Danyliak","doi":"10.4028/p-gvgzk5","DOIUrl":"https://doi.org/10.4028/p-gvgzk5","url":null,"abstract":"Sintered Ti6Al4V titanium alloys prepared from TiH2/60Al40V powder blends under various technological conditions were studied. The microstructural evolution was investigated by X-ray diffraction, scanning electron microscopy, optical microscopy, and energy dispersive X-ray analysis. The corrosion resistance of sintered titanium alloy was evaluated by the static immersion test in 40 wt.% H2SO4 acid, according to ASTM standard G31-72(2004). Depending on powder metallurgy processing parameters (compaction pressure or sintering temperature), the Ti6Al4V alloy was obtained with various structural features (porosity and structural heterogeneity). It was shown that those structural features of sintered Ti6Al4V titanium alloy are a key microstructural factor that determines their corrosion resistance. For instance, an increase in porosity leads to enhanced corrosion resistance. Based on the current research, the optimal manufacturing regimes of powder metallurgy of Ti6Al4V titanium alloy ensure the achievement of characteristics sufficient for practical use in aggressive conditions of the chemical industry were obtained.","PeriodicalId":507685,"journal":{"name":"Key Engineering Materials","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139788578","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Investigation of Co-Extrusion Using a Coat Hanger Die with Different Feedblock Cross-Section 使用不同进料块横截面的衣架模具进行共挤的研究
Key Engineering Materials Pub Date : 2024-02-09 DOI: 10.4028/p-rctkv4
Nurdaulet Sharipkhan, Omonini Clifford, Asma Perveen, Di Chuan Zhang, Dong Ming Wei
{"title":"Investigation of Co-Extrusion Using a Coat Hanger Die with Different Feedblock Cross-Section","authors":"Nurdaulet Sharipkhan, Omonini Clifford, Asma Perveen, Di Chuan Zhang, Dong Ming Wei","doi":"10.4028/p-rctkv4","DOIUrl":"https://doi.org/10.4028/p-rctkv4","url":null,"abstract":"When using the coat hanger die method for co-extrusion, the biggest challenges often involve maintaining the uniformity of the velocity distribution at the outlet of the die and ensuring the stability of the interface plane. This paper investigates the effect of different cross-section of feed channels connected to the coat hanger die on the velocity and pressure distribution of the flow at different parts of the die. Co-extrusion of LLDPE (Linear Low Density Polyethylene) and HDPE (High Density Polyethylene) polymers is simulated using ANSYS software 2020 R2 for coat hanger die design with rectangular and circular cross-sections inlet geometry; the results are compared for Carreau-Yasuda model to observe the result differences between rectangular and circular coextrusion channels connected to coat hanger die. Our results showed that rectangular cross-section feedblock generated higher values for pressure in comparison with the pressure generated by the circular cross-section feedblock. The maximum velocity generated in the circular feedblock is lower than that generated in the rectangular one, nevertheless there is more uniformity in velocity distribution in circular than rectangular cross-section.","PeriodicalId":507685,"journal":{"name":"Key Engineering Materials","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139790062","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Investigation of the Two-Channel Feedblock Zone in Co-Extrusion of Polymers 聚合物共挤过程中双通道进料区的研究
Key Engineering Materials Pub Date : 2024-02-09 DOI: 10.4028/p-rn5jhp
Nurdaulet Sharipkhan, Asma Perveen, Di Chuan Zhang, Dong Ming Wei
{"title":"Investigation of the Two-Channel Feedblock Zone in Co-Extrusion of Polymers","authors":"Nurdaulet Sharipkhan, Asma Perveen, Di Chuan Zhang, Dong Ming Wei","doi":"10.4028/p-rn5jhp","DOIUrl":"https://doi.org/10.4028/p-rn5jhp","url":null,"abstract":"A process when different materials are combined to produce a product with multiple layers is called co-extrusion. During this process, polymers are melted in separate machines and then extrudate from different die channels. Once these channels converge, the polymers meet and flow through a single channel. The surface where the two fluids face is called “interface”. It is crucial to maintain the interface's uniformity and stability in order to achieve the desired multi-layered structure. Most of the issues in co-extrusion are related to issues that can be classified into two categories such as polymer encapsulation/interfacial distortion and die swell. To solve these problems, designers focus on improving the interface's stability. This paper examines effects of cross-section modification of the two-channel feedblock on the interface location and velocity and pressure distributions of the flow. The ANSYS software was used to simulate the co-extrusion of polymers, LLDPE and HDPE, in two-channel feedblock with rectangular, circular, and straight slot cross-sections. The results show that sharp corners increase the thickness of dead zones, while rounding them decreases the thickness. Additionally, stadium-shaped (or straight-slot) cross-section channels can move the flow with a higher maximum velocity and thinner boundary layer combining the results of rectangular and circular feedblocks.","PeriodicalId":507685,"journal":{"name":"Key Engineering Materials","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139790132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Consideration of Moisture Factor during Material Selection in Plastic Product Design 塑料产品设计选材时考虑水分因素
Key Engineering Materials Pub Date : 2024-02-09 DOI: 10.4028/p-gmih5f
Burak Kukcu, B. Daşdemir
{"title":"Consideration of Moisture Factor during Material Selection in Plastic Product Design","authors":"Burak Kukcu, B. Daşdemir","doi":"10.4028/p-gmih5f","DOIUrl":"https://doi.org/10.4028/p-gmih5f","url":null,"abstract":"This research paper aims to investigate the significance of considering the humidity factor during material selection in plastic product design. Humidity is a crucial environmental parameter that can profoundly influence the properties and performance of plastic materials. To ensure the long-term performance and dependability of plastic products, it is essential to comprehend and take into consideration the impacts of moisture on plastics. Humidity plays a fundamental role in the degradation and functional changes of plastic materials. Moisture absorption can lead to reduced mechanical strength and accelerated degradation processes. The selection of appropriate materials that can withstand humid conditions becomes paramount in product design. For this reason it is important to evaluate the moisture absorption properties of plastic materials. Different polymers exhibit varying degrees of moisture diffusion rates that directly affect their performance in humid environments. Evaluation of moisture measurement results allows designers to make informed decisions during material selection. For this reason, we designed an experiment to investigate which material retains less moisture. In our research, we determined 2 different experimental groups. The first of these groups (type A) was kept under normal conditions by adding glass fiber additive at different rates to the PA66 material, and each product with 3 different additives was tested for moisture for 10 days and the results were recorded. In the second experimental group, type B, the products produced with the same material and additives at the same rate were kept in water for 24 hours, then they were removed from the water and moisture tests were performed. It is aimed to make material selection by interpreting the test results and thus to facilitate the making of designs suitable for use.","PeriodicalId":507685,"journal":{"name":"Key Engineering Materials","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139789387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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