In this paper,we consider a new algorithm for a generalized system for relaxed coercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods.Our results...In this paper,we consider a new algorithm for a generalized system for relaxed coercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods.Our results include the previous results as special cases extend and improve the main results obtained by many others.展开更多
The magnetic properties and microstructure of diffusion annealed [Ta/Nd/NdFeB/Nd/Ta]thin films have been investigated. The films were deposited on Si substrate with various thickness ratio of Nd/NdFeB layer (R=0～3.3)...The magnetic properties and microstructure of diffusion annealed [Ta/Nd/NdFeB/Nd/Ta]thin films have been investigated. The films were deposited on Si substrate with various thickness ratio of Nd/NdFeB layer (R=0～3.3), then diffused and crystallized by annealing at 650℃ for 10 min. The film without Nd layer showed soft magnetic behavior and high content of a-Fe phase. The films with R > =1 showed good hard magnetic properties with the high coercivity of about 20 kOe.展开更多
The experimental regularity and the mechanism of coercive force of metallic cobalt powders and WC Co mixture powders used for WC Co cemented carbides production were explored. The results show that the specific coer...The experimental regularity and the mechanism of coercive force of metallic cobalt powders and WC Co mixture powders used for WC Co cemented carbides production were explored. The results show that the specific coercive force H sc is a practical physical parameter which can show exactly the demagnetization characteristic of cobalt, and its magnitude is related to structure of cobalt. The H sc of WC Co mixture powders bears a simple positive going relation to Co content in them when the structure of cobalt is constant. It increases with fining and well distributing of cobalt particles in WC Co mixture powders due to the increase of the magnetic moment interaction of adjacent cobalt particles and the residual stress existing among powder particles by grinding.展开更多
The influence of γ-phase composition in WC-Co cemented carbides on its specific coercive force H_(sc) hasbeen studied by analysing the imitative alloys of γ-phase. The results show that the H_(sc) of γ-phase is low...The influence of γ-phase composition in WC-Co cemented carbides on its specific coercive force H_(sc) hasbeen studied by analysing the imitative alloys of γ-phase. The results show that the H_(sc) of γ-phase is lower thanthat of pure cobalt, because the solute W can raise γ-phase H_(sc) but the carbon exhibits more intense negativeeffect on H_(sc). The effect is enhanced with raising the C solubilities in γ-phase.展开更多
The expression of critical size of ferromagnetic microcrystal in an external magnetic field with an intensity of H is derived by means of comparing energies of domain structure states.The ferromagnetic microcrystal he...The expression of critical size of ferromagnetic microcrystal in an external magnetic field with an intensity of H is derived by means of comparing energies of domain structure states.The ferromagnetic microcrystal here means an ferromagnetic single crystal with the size which is smaller than L0, and L0 is the critical value of the size of single-domain particles at the external magnetic field intensity H =0.Also, the coercive strength H(Ls) relating to the size of microcrystal Ls is given and quantitatively evaluated with the material SmCo5 as an instance.It is thus concluded that if L0 ＞ Ls ＞ LC, the antimagnetization of microcrystal will be subjected to a multi-domain process just like the particles of a size greater than L0, only if Ls ＜ LC, the anti-magnetizaton will be carried on in accordance with the Stoner-Wohlforth mechanism( LC is the maximum size of microcrystal with MHcth ).It is suggested that the material RECo5 is available to make an advanced magnet with MHC = 2 K/Mc.展开更多
Ce_x(CoFe)_(3-x)O_4 ferrites with different contents of Ce have been prepared by wetchemical method. The phases, morphologies and magnetic properties of the products were studied.It has been found that the products we...Ce_x(CoFe)_(3-x)O_4 ferrites with different contents of Ce have been prepared by wetchemical method. The phases, morphologies and magnetic properties of the products were studied.It has been found that the products were a single phase with spinel structure and consisted of granular particles in most cases.The coercive force of the products increased with the increase of concentration of Ce￣(4+) in the reaction solution.On the other hand,if Ce￣(3+) and Ce(OH)_4 were present in the reaction solution,some rod-shape crystals in the products were observed, which causes a great increase in coercive force,and the optimum value was obtained when[Ce￣(3+)] was about 5% of the total([Ce￣(3+)]+[Ce￣(4+)]).展开更多
Rare earth giant magnetostrictive materials(GMMs)Tb_(1-x)Dy_(x)Fe_(2±δ)(Tb-Dy-Fe)have been successfully employed in many microelectromechanical devices due to their excellent magnetostrictive properties at room ...Rare earth giant magnetostrictive materials(GMMs)Tb_(1-x)Dy_(x)Fe_(2±δ)(Tb-Dy-Fe)have been successfully employed in many microelectromechanical devices due to their excellent magnetostrictive properties at room temperature.However,Tb-Dy-Fe still shows a relatively large coercivity with high hysteresis,which inevitably limits its application range.Herein,micromagnetic simulations are performed to investigate the size effect of precipitated phase(α-Fe)on coercivity in Tb-Dy-Fe.Simulation results demonstrate that the coercivity is reduced from 31.46 to 12.48 mT with increasing the size ofα-Fe from 4 to 50 nm in Tb-Dy-Fe since the precipitated phase ofα-Fe can act as a magnetization reversal nucleus.This decreasing trend of coercivity can be well fitted with an inverse square relationship,which agrees well with the nucleation theory.Our study highlights that the coercivity of Tb-Dy-Fe can be tailored by tuning the size ofα-Fe precipitation.展开更多
NdFeB coercive powder can be obtained directely by hydrogen treated ahoy ingots, The magnetic properties of the powder are comparable with that made by rapidsolidified process.An appreciable coercivity created during ...NdFeB coercive powder can be obtained directely by hydrogen treated ahoy ingots, The magnetic properties of the powder are comparable with that made by rapidsolidified process.An appreciable coercivity created during hydrogen treatment is closely related to the refined crystal grains.展开更多
Finite Element Method (FEM), when applied to solve problems, has faced some challenges over the years, such as time consumption and the complexity of assumptions. In particular, the making of assumptions has had a sig...Finite Element Method (FEM), when applied to solve problems, has faced some challenges over the years, such as time consumption and the complexity of assumptions. In particular, the making of assumptions has had a significant influence on the accuracy of the method, making it mandatory to carry out sensitivity analysis. The sensitivity analysis helps to identify the level of impact the assumptions have on the method. However, sensitivity analysis via FEM can be very challenging. A priori error estimation, an integral part of FEM, is a basic mathematical tool for predicting the accuracy of numerical solutions. By understanding the relationship between the mesh size, the order of basis functions, and the resulting error, practitioners can effectively design and apply FEM to solve complex Partial Differential Equations (PDEs) with confidence in the reliability of their results. Thus, the coercive property and A priori error estimation based on the L1 formula on a mesh in time and the Mamadu-Njoseh basis functions in space are investigated for a linearly distributed time-order fractional telegraph equation with restricted initial conditions. For this purpose, we constructed a mathematical proof of the coercive property for the fully discretized scheme. Also, we stated and proved a cardinal theorem for a priori error estimation of the approximate solution for the fully discretized scheme. We noticed the role of the restricted initial conditions imposed on the solution in the analysis of a priori error estimation.展开更多
Hafnium oxideebased ferroelectric materials emerged as promising candidates for constructing nextgeneration high-density memory devices due to their silicon compatibility.However,the high coercive field(Ec,typically e...Hafnium oxideebased ferroelectric materials emerged as promising candidates for constructing nextgeneration high-density memory devices due to their silicon compatibility.However,the high coercive field(Ec,typically exceeding 1.0 MV/cm)puts forward challenges to high operating voltage and limited endurance performance.To overcome these limitations,a strategy is utilized by applying an in-situ direct current electric field during rapid thermal process(RTP).This approach enables simultaneous reduction of coercive field and enhancement of ferroelectric polarization in Hf_(0.5)Zr_(0.5)O_(2)(HZO).Notably,a recordlow E_(c)(~0.79 MV/cm)is achieved among atomic layer deposition-grown Zr-doped HfO_(2)ferroelectric films,facilitating lower operation voltage,faster switching speed,and improved endurance characteristics.High-resolution transmission electron microscopy analysis reveals that the ferroelectric domains in samples through electric field assisted-RTP exhibit a relatively preferential out-of-plane orientation compared to normal RTP-treated samples,which is the underlying mechanism in reducing the coercive field and enhancing ferroelectric polarization.This study introduces a practical and effective method for optimizing the overall performance of HZO films,underscoring their potential for application in nonvolatile memory technologies.展开更多
Using only chassical theorems of calculus of variations, we study semi coercive monotone variational problems on reflexive Banach spaces. We obtain the existence of solutions for semilinear equations on reflexive Ban...Using only chassical theorems of calculus of variations, we study semi coercive monotone variational problems on reflexive Banach spaces. We obtain the existence of solutions for semilinear equations on reflexive Banach spaces.展开更多
In this paper, we investigate a non-autonomous second-order p-Laplacian system. Based on critical point theory, we discuss the existence of homoclinic orbits of the system.
We prepared Co_(x)Pt_(100-x)(x=40,45,50,55,60)nanoparticles by the sol-gel method.The phase composition and crystal structure,morphology and microstructure,and magnetic properties of the samples were characterized and...We prepared Co_(x)Pt_(100-x)(x=40,45,50,55,60)nanoparticles by the sol-gel method.The phase composition and crystal structure,morphology and microstructure,and magnetic properties of the samples were characterized and tested using X-ray diffraction(XRD),transmission electron microscopy(TEM),and vibrating sample magnetometer(VSM),respectively.The results demonstrate that the coercivity of CoPt nanoparticles can be effectively controlled by adjusting the atomic ratio of Co and Pt in the samples.Among the compositions studied,the Co_(45)Pt_(55)sample synthesized by the sol-gel method exhibits smaller grain size and a coercivity as high as 6.65×10^(5) A/m is achieved.The morphology and microstructure of the nanoparticles were analyzed by TEM images,indicating that a slight excess of Pt can effectively enhance the coercivity of CoPt nanoparticles.展开更多
Law furthers administration system On June 30,the Standing Committee of the 11th National People’s Congress(NPC),China’s top legislature,adopted the Law on Administrative Coercion at its 21st meeting."The law s...Law furthers administration system On June 30,the Standing Committee of the 11th National People’s Congress(NPC),China’s top legislature,adopted the Law on Administrative Coercion at its 21st meeting."The law stipulates specific展开更多
The intermetallic compounds based on the tetragonal ThMn_(12) prototype crystal structure have exhibited great potential as advanced rare-earth-lean permanent magnets due to their excellent intrinsic magnetic properti...The intermetallic compounds based on the tetragonal ThMn_(12) prototype crystal structure have exhibited great potential as advanced rare-earth-lean permanent magnets due to their excellent intrinsic magnetic properties.However,the trade-off between the phase stability and the magnetic performance is often encountered in the ThMn_(12)-type magnets.This work was focused on the effects of V doping and nanos-tructuring on the phase stability and magnetic properties of ThMn_(12)-type Sm-Co-based magnets.Novel SmCo_(12)-based nanocrystalline alloys with the SmCo_(12) main phase were prepared for the first time.The prepared alloys from the optimal design achieved obviously higher coercivity than the isotropic SmFe_(12)-based alloys,together with comparable performance of other magnetic features.The enhancement in the coercivity was ascribed to the pinning of domain walls by the nanocrystalline grain boundaries and stacking faults.First-principles calculations and magnetic structure analysis disclosed that V substitution can stabilize the SmCo_(12) lattice and elevate its magnetocrystalline anisotropy.This study provides a new approach to developing stabilized metastable structured rare-earth-lean alloys with high magnetic per-formance.展开更多
Three types of NdFeB magnets with the same composition and different grain sizes were prepared,and then the grain boundary diffusion was conducted using metal Tb under the same technical parameters.The effect of grain...Three types of NdFeB magnets with the same composition and different grain sizes were prepared,and then the grain boundary diffusion was conducted using metal Tb under the same technical parameters.The effect of grain size on the grain boundary diffusion process and properties of sintered NdFeB magnets was investigated.The diffusion process was assessed using X-ray diffractometer,field emission scanning electron microscope,and electron probe microanalyzer.The magnetic properties of the magnet before and after diffusion were investigated.The results show that the grain refinement of the magnet leads to higher Tb utilization efficiency and results in higher coercivity at different temperatures.It can be attributed to the formation of a deeper and more complete core-shell structure,resulting in better magnetic isolation and higher anisotropy of the Nd_(2)Fe_(14)B grains.This work may shed light on developing high coercivity with low heavy rare earth elements through grain refinement.展开更多
Hexaferrites'magnetic and structural properties are highly sensitive to changes in sintering temperature and cationic replacements.We fabricated Ca_(0.5)Cu_(0.5)Fe_(12-x)DyxO_(19)hexaferrites using the sol-gel tec...Hexaferrites'magnetic and structural properties are highly sensitive to changes in sintering temperature and cationic replacements.We fabricated Ca_(0.5)Cu_(0.5)Fe_(12-x)DyxO_(19)hexaferrites using the sol-gel technique.We examined the phase,microstructure and magnetic aspects of the samples with respect to varying doping of rare earth dysprosium.The results show the expansion in the lattice upon incorporation of dysprosium against iron.Morphological studies confirm the uniform distribution of particles with slightly longitudinal nanoflakes in one direction.Magnetic investigations show an increase in magnetic saturation(Ms)with increasing dysprosium incorporation till optimum level is achieved for 15%doping concentration,with negligible change for maximum doping level.Furthermore,coercivity(Hc)and magnetic moment(mB)in terms of Bohr's magneton(μB)also show an increasing trend with dysprosium substitution levels.The maximum saturation magnetization of 33.355 emu/g is achieved with magnetic remanence of 18.290 emu/g,along with optimum magnetic moment of 6.249μB.In addition to the traditional magnetic parameters,magnetic anisotropy parameters were explored for the deep insights into magnetic parameters.These outcomes suggest that improved magnetic properties of Ca_(0.5)Cu_(0.5)Fe_(12-x)DyxO_(19)ferrites make it good substitute for storage devices,magnetic filters,and other magnetic applications.展开更多
In this paper,the fracture behaviors and interface stresses of sintered Nd-Fe-B magnets were investigated.It was revealed that cracks propagated along the interfaces of Nd_(2)Fe_(14)B/Nd_(2)Fe_(14)B,Nd_(2)Fe_(14)B/Nd-...In this paper,the fracture behaviors and interface stresses of sintered Nd-Fe-B magnets were investigated.It was revealed that cracks propagated along the interfaces of Nd_(2)Fe_(14)B/Nd_(2)Fe_(14)B,Nd_(2)Fe_(14)B/Nd-rich phases and within Nd-rich phases.The misfits between 2:14:1 and Nd-rich phases were quantitatively determined,reflecting the concentration of interface stresses in magnet.Grain boundaries of magnet were reconstructed by diffusing Tb-containing and Tb-free sources,respectively.The Tb-rich shells at extensive layers of 2:14:1 grains caused lattice distortion,i.e.,internal stresses,resulting in the crack mode changing from intergranular to transgranular in near surfaces of Tb-containing diffused magnets.Therefore,the bending strengths were deteriorated although the coercivities were apparently enhanced.In the case of Tb-free Pr-Cu diffused magnet,the Pr and Cu elements were enriched at grain boundaries,and the misfits between 2:14:1 and Nd-rich phases were declined,lowering interface stresses and strengthening grain boundaries.The mechanical and magnetic properties of Pr-Cu diffused magnet were simultaneously improved.展开更多
The low coercivity is the major factor inhibiting the large-scale commercial utilization of Nd-Ce-Fe-B sintered magnets.In this work,we achieved a record-high coercivity of 15.04 kOe in Ga-doped Nd-Ce-Fe-B sintered ma...The low coercivity is the major factor inhibiting the large-scale commercial utilization of Nd-Ce-Fe-B sintered magnets.In this work,we achieved a record-high coercivity of 15.04 kOe in Ga-doped Nd-Ce-Fe-B sintered magnets with 30 wt%Ce replacing Nd,demonstrating enormous potential.The Ga-doped Nd-Ce-Fe-B magnets with higher boron(HB)and lower boron(LB)content are designed.The coercivity of the HB magnet increases slightly from 10.80 to 12.26 kOe after annealing,attributed to the optimized distribution of grain boundary(GB)phases.In contrast,the coercivity of the LB magnet remarkably increases from 8.13 to 15.04 kOe after annealing.Microstructural observations indicate that the narrow GB phase in the as-sintered magnet is rich in Fe,and the strong exchange coupling of adjacent grains resulted in low coercivity.The evolution of Ga-rich phases reveals a potential formation mechanism of the RE_(6)Fe_(13)Ga phase,that is the RE-Fe amorphous phase and REGa phase in the as-sintered magnet combine to form the RE_(6)Fe_(13)Ga phase and RE-Ga amorphous phase during post-sinter annealing(RE:rare earth).Moreover,the GB phase of the annealed magnet transforms into a Fe-lean phase with a thickness of 16.4 nm.Magnetization and demagnetization behavior characterizations reveal that the exchange decoupling of adjacent grains induced by the optimized GB phases is the main reason for the remarkable coercivity enhancement,which is also validated by micromagnetic simulations.展开更多
基金Supported by the NSF of Henan Province(092300410150)Supported by the NSF of Department Education of Henan Province(2009C110002)Supported by the Key Teacher Foundation of Huanghuai University
文摘In this paper,we consider a new algorithm for a generalized system for relaxed coercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods.Our results include the previous results as special cases extend and improve the main results obtained by many others.
文摘The magnetic properties and microstructure of diffusion annealed [Ta/Nd/NdFeB/Nd/Ta]thin films have been investigated. The films were deposited on Si substrate with various thickness ratio of Nd/NdFeB layer (R=0～3.3), then diffused and crystallized by annealing at 650℃ for 10 min. The film without Nd layer showed soft magnetic behavior and high content of a-Fe phase. The films with R > =1 showed good hard magnetic properties with the high coercivity of about 20 kOe.
文摘The experimental regularity and the mechanism of coercive force of metallic cobalt powders and WC Co mixture powders used for WC Co cemented carbides production were explored. The results show that the specific coercive force H sc is a practical physical parameter which can show exactly the demagnetization characteristic of cobalt, and its magnitude is related to structure of cobalt. The H sc of WC Co mixture powders bears a simple positive going relation to Co content in them when the structure of cobalt is constant. It increases with fining and well distributing of cobalt particles in WC Co mixture powders due to the increase of the magnetic moment interaction of adjacent cobalt particles and the residual stress existing among powder particles by grinding.
文摘The influence of γ-phase composition in WC-Co cemented carbides on its specific coercive force H_(sc) hasbeen studied by analysing the imitative alloys of γ-phase. The results show that the H_(sc) of γ-phase is lower thanthat of pure cobalt, because the solute W can raise γ-phase H_(sc) but the carbon exhibits more intense negativeeffect on H_(sc). The effect is enhanced with raising the C solubilities in γ-phase.
文摘The expression of critical size of ferromagnetic microcrystal in an external magnetic field with an intensity of H is derived by means of comparing energies of domain structure states.The ferromagnetic microcrystal here means an ferromagnetic single crystal with the size which is smaller than L0, and L0 is the critical value of the size of single-domain particles at the external magnetic field intensity H =0.Also, the coercive strength H(Ls) relating to the size of microcrystal Ls is given and quantitatively evaluated with the material SmCo5 as an instance.It is thus concluded that if L0 ＞ Ls ＞ LC, the antimagnetization of microcrystal will be subjected to a multi-domain process just like the particles of a size greater than L0, only if Ls ＜ LC, the anti-magnetizaton will be carried on in accordance with the Stoner-Wohlforth mechanism( LC is the maximum size of microcrystal with MHcth ).It is suggested that the material RECo5 is available to make an advanced magnet with MHC = 2 K/Mc.
文摘Ce_x(CoFe)_(3-x)O_4 ferrites with different contents of Ce have been prepared by wetchemical method. The phases, morphologies and magnetic properties of the products were studied.It has been found that the products were a single phase with spinel structure and consisted of granular particles in most cases.The coercive force of the products increased with the increase of concentration of Ce￣(4+) in the reaction solution.On the other hand,if Ce￣(3+) and Ce(OH)_4 were present in the reaction solution,some rod-shape crystals in the products were observed, which causes a great increase in coercive force,and the optimum value was obtained when[Ce￣(3+)] was about 5% of the total([Ce￣(3+)]+[Ce￣(4+)]).
基金financially supported by the National Key R&D Program of China(No.2021YFB3501401)the National Natural Science Foundation of China(No.52001103)+1 种基金Zhejiang Provincial Natural Science Foundation of China(No.LQ21E010001)the Ten Thousand Talents Plan of Zhejiang Province of China(No.2019R52014)。
文摘Rare earth giant magnetostrictive materials(GMMs)Tb_(1-x)Dy_(x)Fe_(2±δ)(Tb-Dy-Fe)have been successfully employed in many microelectromechanical devices due to their excellent magnetostrictive properties at room temperature.However,Tb-Dy-Fe still shows a relatively large coercivity with high hysteresis,which inevitably limits its application range.Herein,micromagnetic simulations are performed to investigate the size effect of precipitated phase(α-Fe)on coercivity in Tb-Dy-Fe.Simulation results demonstrate that the coercivity is reduced from 31.46 to 12.48 mT with increasing the size ofα-Fe from 4 to 50 nm in Tb-Dy-Fe since the precipitated phase ofα-Fe can act as a magnetization reversal nucleus.This decreasing trend of coercivity can be well fitted with an inverse square relationship,which agrees well with the nucleation theory.Our study highlights that the coercivity of Tb-Dy-Fe can be tailored by tuning the size ofα-Fe precipitation.
文摘NdFeB coercive powder can be obtained directely by hydrogen treated ahoy ingots, The magnetic properties of the powder are comparable with that made by rapidsolidified process.An appreciable coercivity created during hydrogen treatment is closely related to the refined crystal grains.
文摘Finite Element Method (FEM), when applied to solve problems, has faced some challenges over the years, such as time consumption and the complexity of assumptions. In particular, the making of assumptions has had a significant influence on the accuracy of the method, making it mandatory to carry out sensitivity analysis. The sensitivity analysis helps to identify the level of impact the assumptions have on the method. However, sensitivity analysis via FEM can be very challenging. A priori error estimation, an integral part of FEM, is a basic mathematical tool for predicting the accuracy of numerical solutions. By understanding the relationship between the mesh size, the order of basis functions, and the resulting error, practitioners can effectively design and apply FEM to solve complex Partial Differential Equations (PDEs) with confidence in the reliability of their results. Thus, the coercive property and A priori error estimation based on the L1 formula on a mesh in time and the Mamadu-Njoseh basis functions in space are investigated for a linearly distributed time-order fractional telegraph equation with restricted initial conditions. For this purpose, we constructed a mathematical proof of the coercive property for the fully discretized scheme. Also, we stated and proved a cardinal theorem for a priori error estimation of the approximate solution for the fully discretized scheme. We noticed the role of the restricted initial conditions imposed on the solution in the analysis of a priori error estimation.
基金supported by the National Key Research and Development Program of China(2024YFA1208601 and 2022YFB3807604)the National Natural Science Foundation of China(52125204,52250281,52422209 and 92163210,and U21A2066)the fundamental research funds for the central universities(WK2030000109).
文摘Hafnium oxideebased ferroelectric materials emerged as promising candidates for constructing nextgeneration high-density memory devices due to their silicon compatibility.However,the high coercive field(Ec,typically exceeding 1.0 MV/cm)puts forward challenges to high operating voltage and limited endurance performance.To overcome these limitations,a strategy is utilized by applying an in-situ direct current electric field during rapid thermal process(RTP).This approach enables simultaneous reduction of coercive field and enhancement of ferroelectric polarization in Hf_(0.5)Zr_(0.5)O_(2)(HZO).Notably,a recordlow E_(c)(~0.79 MV/cm)is achieved among atomic layer deposition-grown Zr-doped HfO_(2)ferroelectric films,facilitating lower operation voltage,faster switching speed,and improved endurance characteristics.High-resolution transmission electron microscopy analysis reveals that the ferroelectric domains in samples through electric field assisted-RTP exhibit a relatively preferential out-of-plane orientation compared to normal RTP-treated samples,which is the underlying mechanism in reducing the coercive field and enhancing ferroelectric polarization.This study introduces a practical and effective method for optimizing the overall performance of HZO films,underscoring their potential for application in nonvolatile memory technologies.
文摘Using only chassical theorems of calculus of variations, we study semi coercive monotone variational problems on reflexive Banach spaces. We obtain the existence of solutions for semilinear equations on reflexive Banach spaces.
基金supported by NNSF of China Project(No.11326124)Education Department of Henan Province Project(No.14A110002)
文摘In this paper, we investigate a non-autonomous second-order p-Laplacian system. Based on critical point theory, we discuss the existence of homoclinic orbits of the system.
基金Funded by the National Natural Science Foundation of China(No.52371169)。
文摘We prepared Co_(x)Pt_(100-x)(x=40,45,50,55,60)nanoparticles by the sol-gel method.The phase composition and crystal structure,morphology and microstructure,and magnetic properties of the samples were characterized and tested using X-ray diffraction(XRD),transmission electron microscopy(TEM),and vibrating sample magnetometer(VSM),respectively.The results demonstrate that the coercivity of CoPt nanoparticles can be effectively controlled by adjusting the atomic ratio of Co and Pt in the samples.Among the compositions studied,the Co_(45)Pt_(55)sample synthesized by the sol-gel method exhibits smaller grain size and a coercivity as high as 6.65×10^(5) A/m is achieved.The morphology and microstructure of the nanoparticles were analyzed by TEM images,indicating that a slight excess of Pt can effectively enhance the coercivity of CoPt nanoparticles.
文摘Law furthers administration system On June 30,the Standing Committee of the 11th National People’s Congress(NPC),China’s top legislature,adopted the Law on Administrative Coercion at its 21st meeting."The law stipulates specific
基金supported by the National Key R&D Program of China(Nos.2021YFB3501502 and 2021YFB3501504).
文摘The intermetallic compounds based on the tetragonal ThMn_(12) prototype crystal structure have exhibited great potential as advanced rare-earth-lean permanent magnets due to their excellent intrinsic magnetic properties.However,the trade-off between the phase stability and the magnetic performance is often encountered in the ThMn_(12)-type magnets.This work was focused on the effects of V doping and nanos-tructuring on the phase stability and magnetic properties of ThMn_(12)-type Sm-Co-based magnets.Novel SmCo_(12)-based nanocrystalline alloys with the SmCo_(12) main phase were prepared for the first time.The prepared alloys from the optimal design achieved obviously higher coercivity than the isotropic SmFe_(12)-based alloys,together with comparable performance of other magnetic features.The enhancement in the coercivity was ascribed to the pinning of domain walls by the nanocrystalline grain boundaries and stacking faults.First-principles calculations and magnetic structure analysis disclosed that V substitution can stabilize the SmCo_(12) lattice and elevate its magnetocrystalline anisotropy.This study provides a new approach to developing stabilized metastable structured rare-earth-lean alloys with high magnetic per-formance.
基金Key Research and Development Program of Shandong Province(2021CXGC010310)Shandong Province Science and Technology Small and Medium Sized Enterprise Innovation Ability Enhancement Project(2023TSGC0287,2024TSGC0519)+1 种基金Shandong Provincial Natural Science Foundation(ZR2022ME222)National Natural Science Foundation of China(51702187)。
文摘Three types of NdFeB magnets with the same composition and different grain sizes were prepared,and then the grain boundary diffusion was conducted using metal Tb under the same technical parameters.The effect of grain size on the grain boundary diffusion process and properties of sintered NdFeB magnets was investigated.The diffusion process was assessed using X-ray diffractometer,field emission scanning electron microscope,and electron probe microanalyzer.The magnetic properties of the magnet before and after diffusion were investigated.The results show that the grain refinement of the magnet leads to higher Tb utilization efficiency and results in higher coercivity at different temperatures.It can be attributed to the formation of a deeper and more complete core-shell structure,resulting in better magnetic isolation and higher anisotropy of the Nd_(2)Fe_(14)B grains.This work may shed light on developing high coercivity with low heavy rare earth elements through grain refinement.
基金the Deanship of Scientific Research at King Khalid University for funding this work through a large group Research Project under grant(RGP2/111/45)。
文摘Hexaferrites'magnetic and structural properties are highly sensitive to changes in sintering temperature and cationic replacements.We fabricated Ca_(0.5)Cu_(0.5)Fe_(12-x)DyxO_(19)hexaferrites using the sol-gel technique.We examined the phase,microstructure and magnetic aspects of the samples with respect to varying doping of rare earth dysprosium.The results show the expansion in the lattice upon incorporation of dysprosium against iron.Morphological studies confirm the uniform distribution of particles with slightly longitudinal nanoflakes in one direction.Magnetic investigations show an increase in magnetic saturation(Ms)with increasing dysprosium incorporation till optimum level is achieved for 15%doping concentration,with negligible change for maximum doping level.Furthermore,coercivity(Hc)and magnetic moment(mB)in terms of Bohr's magneton(μB)also show an increasing trend with dysprosium substitution levels.The maximum saturation magnetization of 33.355 emu/g is achieved with magnetic remanence of 18.290 emu/g,along with optimum magnetic moment of 6.249μB.In addition to the traditional magnetic parameters,magnetic anisotropy parameters were explored for the deep insights into magnetic parameters.These outcomes suggest that improved magnetic properties of Ca_(0.5)Cu_(0.5)Fe_(12-x)DyxO_(19)ferrites make it good substitute for storage devices,magnetic filters,and other magnetic applications.
基金supported by the National Natural Science Foundation of China(No.52271165)the National Key R&D Program of China(No.2022YFB3505501).
文摘In this paper,the fracture behaviors and interface stresses of sintered Nd-Fe-B magnets were investigated.It was revealed that cracks propagated along the interfaces of Nd_(2)Fe_(14)B/Nd_(2)Fe_(14)B,Nd_(2)Fe_(14)B/Nd-rich phases and within Nd-rich phases.The misfits between 2:14:1 and Nd-rich phases were quantitatively determined,reflecting the concentration of interface stresses in magnet.Grain boundaries of magnet were reconstructed by diffusing Tb-containing and Tb-free sources,respectively.The Tb-rich shells at extensive layers of 2:14:1 grains caused lattice distortion,i.e.,internal stresses,resulting in the crack mode changing from intergranular to transgranular in near surfaces of Tb-containing diffused magnets.Therefore,the bending strengths were deteriorated although the coercivities were apparently enhanced.In the case of Tb-free Pr-Cu diffused magnet,the Pr and Cu elements were enriched at grain boundaries,and the misfits between 2:14:1 and Nd-rich phases were declined,lowering interface stresses and strengthening grain boundaries.The mechanical and magnetic properties of Pr-Cu diffused magnet were simultaneously improved.
基金supported by the National Natural Science Foundation of China(Nos.52261037,52088101)the Key research project of Jiangxi Province(No.20203ABC28W006)the Double-Thousand Plan of Jiangxi Province(No.jxsq2023101057).
文摘The low coercivity is the major factor inhibiting the large-scale commercial utilization of Nd-Ce-Fe-B sintered magnets.In this work,we achieved a record-high coercivity of 15.04 kOe in Ga-doped Nd-Ce-Fe-B sintered magnets with 30 wt%Ce replacing Nd,demonstrating enormous potential.The Ga-doped Nd-Ce-Fe-B magnets with higher boron(HB)and lower boron(LB)content are designed.The coercivity of the HB magnet increases slightly from 10.80 to 12.26 kOe after annealing,attributed to the optimized distribution of grain boundary(GB)phases.In contrast,the coercivity of the LB magnet remarkably increases from 8.13 to 15.04 kOe after annealing.Microstructural observations indicate that the narrow GB phase in the as-sintered magnet is rich in Fe,and the strong exchange coupling of adjacent grains resulted in low coercivity.The evolution of Ga-rich phases reveals a potential formation mechanism of the RE_(6)Fe_(13)Ga phase,that is the RE-Fe amorphous phase and REGa phase in the as-sintered magnet combine to form the RE_(6)Fe_(13)Ga phase and RE-Ga amorphous phase during post-sinter annealing(RE:rare earth).Moreover,the GB phase of the annealed magnet transforms into a Fe-lean phase with a thickness of 16.4 nm.Magnetization and demagnetization behavior characterizations reveal that the exchange decoupling of adjacent grains induced by the optimized GB phases is the main reason for the remarkable coercivity enhancement,which is also validated by micromagnetic simulations.
