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- 저자 : K. Kamaraj (검색결과 5 건)
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MOORE-PENROSE INVERSE IN AN INDEFINITE INNER PRODUCT SPACE
KAMARAJ, K.,SIVAKUMAR, K. C. 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.19 No.1
The concept of the Moore-Penrose inverse in an indefinite inner product space is introduced. Extensions of some of the formulae in the Euclidean space to an indefinite inner product space are studied. In particular range-hermitianness is completely characterized. Equivalence of a weighted generalized inverse and the Moore-Penrose inverse is proved. Finally, methods of computing the Moore-Penrose inverse are presented.
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Moore-Penrose inverse in an indefinite inner product space
K. Kamaraj,K. C. Sivakumar 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.19 No.1-2
The concept of the Moore-Penrose inverse in an indefinite inner product space is introduced. Extensions of some of the formulae in the Euclidean space to an indefinite inner product space are studied. In particular range-hermitianness is completely characterized. Equivalence of a weighted generalized inverse and the Moore-Penrose inverse is proved. Finally, methods of computing the Moore-Penrose inverse are presented.
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Alok Srivastava,Ashok Kamaraj,Durbadal Mandal,K. Mondal,Gopi K. Mandal 대한금속·재료학회 2022 METALS AND MATERIALS International Vol.28 No.7
The present work discusses the evolution of microstructure and non-metallic inclusions during wire drawing process in asynthetic slag-treated 5.5 mm diameter high carbon wire rod steel. It has been observed that failure of the as-received wirerod (without synthetic slag treatment) takes place at different stages of deformation during wire drawing operation. However,in case of the synthetic slag-treated wire rods (TW specimen), failure takes place consistently at ~ 95% reduction in thecross-sectional area of the wire. In a quest to understand the failure mechanisms during wire drawing process, a systematicstudy has been carried out by analyzing the microstructures and non-metallic inclusions in the steel wires drawn at variousstages of deformation. The improved drawability of the treated wire specimens is attributed to the decrease in the amountof unfavourable non-deformable inclusions in the steel matrix, and this stems from the synthetic slag treatment of the liquidsteel. Microstructural investigation also confirms the complete realignment of pearlite colonies along the wire drawingdirection followed by thinning and disintegration of cementite lamellae at higher deformation, particularly in case of thesynthetic slag-treated wire rod steel.
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Himanshu Kumar,Gaurav A. Bhaduri,S. G. K. Manikandan,M. Kamaraj,S. Shiva 대한금속ᆞ재료학회 2023 METALS AND MATERIALS International Vol.29 No.2
The primary focus of the study is to explore the influence of annealing on the various properties like phase formation,microstructure evolution and wear analysis of equiatomic AlCoCrFeNiTi high entropy alloy (HEA) coatings developed byatmospheric plasma spray technique. Post deposition, annealing was performed at three different temperatures of 700 °C,900 °C and 1200 °C, respectively, for a time period of 180 min. X-ray diffraction (XRD) studies revealed that AlCoCrFeNiTiHEA coating comprises two BCC solid solution phases. The deposited samples were characterized using scanning electronmicroscopy (FESEM), surface profilometer, chemical analysis using x-ray photoelectron spectroscopy (XPS) and Fouriertransform infra-red spectroscopy (FTIR). The dilution level study revealed the strong metallurgical bonding between coatingand substrate. Microhardness of the AlCrCoFeNiTi was found to be marginally decreased by increasing the annealingtemperature due to coarsening of grains and the deposited coating microhardness was found to be 768.48 ± 16 HV0.2. Weartest analysis performed using the ball-on disc test revealed that, there is a significant decrease in wear resistance after heattreatment at 1200 °C. Beyond 900 °C, annealing decreased the microhardness and wear resistance due to coarsening ofgrains. The wear volume rate of the unannealed as-deposited coating was found to be 2.8 × 10–7 mm3N−1 m−1 and the coatingannealed at 700 °C, 900 °C, and 1200 °C had a wear volume rate of about 2.89 × 10–7 mm3 N−1 m−1, 2.87 × 10–7 mm3 N−1 m−1,7.29 × 10–7 mm3 N−1 m−1, respectively.
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Himanshu Kumar,Gaurav A. Bhaduri,S. G. K. Manikandan,M. Kamaraj,S. Shiva 대한금속·재료학회 2023 METALS AND MATERIALS International Vol.29 No.3
The primary focus of the study is to explore the influence of annealing on the various properties like phase formation,microstructure evolution and wear analysis of equiatomic AlCoCrFeNiTi high entropy alloy (HEA) coatings developed byatmospheric plasma spray technique. Post deposition, annealing was performed at three different temperatures of 700 °C,900 °C and 1200 °C, respectively, for a time period of 180 min. X-ray diffraction (XRD) studies revealed that AlCoCrFeNiTiHEA coating comprises two BCC solid solution phases. The deposited samples were characterized using scanning electronmicroscopy (FESEM), surface profilometer, chemical analysis using x-ray photoelectron spectroscopy (XPS) and Fouriertransform infra-red spectroscopy (FTIR). The dilution level study revealed the strong metallurgical bonding between coatingand substrate. Microhardness of the AlCrCoFeNiTi was found to be marginally decreased by increasing the annealingtemperature due to coarsening of grains and the deposited coating microhardness was found to be 768.48 ± 16 HV0.2. Weartest analysis performed using the ball-on disc test revealed that, there is a significant decrease in wear resistance after heattreatment at 1200 °C. Beyond 900 °C, annealing decreased the microhardness and wear resistance due to coarsening ofgrains. The wear volume rate of the unannealed as-deposited coating was found to be 2.8 × 10–7 mm3N−1 m−1 and the coatingannealed at 700 °C, 900 °C, and 1200 °C had a wear volume rate of about 2.89 × 10–7 mm3 N−1 m−1, 2.87 × 10–7 mm3 N−1 m−1,7.29 × 10–7 mm3 N−1 m−1, respectively.
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