Data from the Tibet air shower array were used to examine the cosmic ray shadows of the Moon and the Sun at energies around 10Tev.The shadowing effect was clearly observed at the 5.8level for the Moon,while the shadow...Data from the Tibet air shower array were used to examine the cosmic ray shadows of the Moon and the Sun at energies around 10Tev.The shadowing effect was clearly observed at the 5.8level for the Moon,while the shadow of the Sun was found in the direction away from the sun by 0.86°tothe west and 0.43°to the south.The effect of the geomagnetic field has also been observed in the shadow of cosmic rays by the Moon.The observed deflection of the sun’s shadow is briefly discussed in connection with the effect of the magnetic fields between the sun and the Earth.This is the first observation of the effects of such magnetic fields on the cosmic ray shadow.The maximum-likelihood analysis of the Moon data set shows that the angular resolutions of the array for showers with its mode energies 7TeVand 35TeV are 0.87°-0.13°+0.10°and 0.54°-0.08°+0.11°,respectively.展开更多
A cluster dynamics model based on rate theory has been developed to describe the accumulation and diffusion processes of helium in tungsten under helium implantation alone or synergistic irradiationwith neutron,by inv...A cluster dynamics model based on rate theory has been developed to describe the accumulation and diffusion processes of helium in tungsten under helium implantation alone or synergistic irradiationwith neutron,by involving different types of objects,adopting up-to-date parameters and complex reaction processes as well as considering the diffusion process along with depth.The calculated results under different conditions are in good agreement with experiments much well.The model describes the behavior of helium in tungsten within 2D space of defect type/size and depth on different ions incident conditions(energies and fluences)and material conditions(system temperature and existent sinks),by including the synergistic effect of helium-neutron irradiations and the influence of inherent sinks(dislocation lines and grain boundaries).The model,coded as IRadMat,would be universally applicable to the evolution of defects for ions/neutron irradiated on plasma-facing materials.展开更多
Over the past decades,considerable efforts have been made in the commercial application of bulk metallic glasses(BMGs).Despite great challenges faced by the industrial players,significant progress has been achieved,an...Over the past decades,considerable efforts have been made in the commercial application of bulk metallic glasses(BMGs).Despite great challenges faced by the industrial players,significant progress has been achieved,and millions of commercial products for various kinds of applications have been shipped around the world.Here in this paper,we shall present the alloys suitable for the actual products in the application and discuss the merits of the processing technique of BMGs over the existing processing techniques and materials.Most importantly we demonstrate the typical examples of products over the past few years.Finally,future directions of the industrialization of BMGs are also discussed.展开更多
Strong, tough, and almost fully dense C fiber reinforced celsian matrix composites have been fabricated by impregnation of the fiber tows with the matrix slurry, winding on a drum, drying, stacking the prepreg tapes i...Strong, tough, and almost fully dense C fiber reinforced celsian matrix composites have been fabricated by impregnation of the fiber tows with the matrix slurry, winding on a drum, drying, stacking the prepreg tapes in the desired orientation, and hot pressing. The monoclinic celsian phase in the matrix was produced in situ, during hot pressing, from amphosous BAS. The unidirectional composites having ≈20 vol% of fibers exhibited graceful failure with extensive fiber pullout in three point bend tests at room temperature. Values of ultimate flexural strength and fracture toughness were 379MPa and 8 3MPa·m 1/2 , respectively.展开更多
The dielectric properties of nano Si/C/N composite powder and nano SiC powder at high frequencies have been studied. The nano Si/C/N composite powder and nano SiC powder were synthesized from hexamethyldisilazane ((Me...The dielectric properties of nano Si/C/N composite powder and nano SiC powder at high frequencies have been studied. The nano Si/C/N composite powder and nano SiC powder were synthesized from hexamethyldisilazane ((Me 3Si) 2NH) (Me:CH 3) and SiH 4 C 2H 2 respectively by a laser induced gas phase reaction. The complex permittivities of the nano Si/C/N composite powder and nano SiC powder were measured between 8 2GHz and 12 4GHz. The real and imaginary parts of the complex permittivities of nano Si/C/N composite powder are much higher than those of nano SiC powder. The SiC microcrystalline in the nano Si/C/N composite powder dissolved a great deal of nitrogen. The local structure around Si atoms changed by introducing N into SiC. Carbon atoms around Si were substituted by N atoms. So charged defects and quasi free electrons moved in response to the electric field, diffusion or polarization current resulted from the field propagation. The high ε″and loss factor tgδ(ε″/ε′) of Si/C/N composite powder were due to the dielectric relaxation.展开更多
A series of PbBr 2 PbCl 2 P 2O 5 glasses have been prepared and characterized to research the effect of melting temperature on the properties of glasses. The glass forming regions have been explored and the stability ...A series of PbBr 2 PbCl 2 P 2O 5 glasses have been prepared and characterized to research the effect of melting temperature on the properties of glasses. The glass forming regions have been explored and the stability of the glasses against crystallization studied. The density, characteristic temperatures, chemical analysis compositions, and infrared absorption spectra of the glasses were measured. Results show that the PbBr 2 PbCl 2 P 2O 5 ternary system melted at 530~540℃ has a broader glass forming region which extended to the side of PbBr2 than that melted at 450~470℃. The glass transition temperature is more than 200℃ and the density is more than 5 5 g·cm 3 . Both the chemical analysis composition and the infrared absorption spectra of some glasses melted at 530~540℃ show that the decomposition of NH 4H 2PO 4 is more complete than that of glasses melted at 450~470℃.展开更多
We revisit the laser-intensity-dependent ionization and fragmentation yields of C60 molecules irradiated by 25-fs,798-nm laser pulses based on the approach in which photoions are measured via a velocity map imaging sp...We revisit the laser-intensity-dependent ionization and fragmentation yields of C60 molecules irradiated by 25-fs,798-nm laser pulses based on the approach in which photoions are measured via a velocity map imaging spectrometer working in a time-sliced mode.This approach dramatically improves the signal-to-background ratio compared to those using a simple(traditional)time-of-flight mode(spectrometer),and thus allows us to measure the laser-intensity dependences down to a previously untouched region,which is expected to provide new insights into the intense-field ionization and fragmentation of C60.Indeed,we find that the saturation intensities for C60 ionizations and the onset intensity for C60 fragmentation are much lower than those reported in previous experiments.Furthermore,the derived saturation-intensity dependence on charge distribution demonstrates the validity of the over-the-barrier ionization using a conducting sphere model.展开更多
Dihadron azimuthal correlations containing a high transverse momentum(pr)trigger particle are sensit-ive to the properties of the nuclear medium created at RHIC through the strong interactions occurring between the tr...Dihadron azimuthal correlations containing a high transverse momentum(pr)trigger particle are sensit-ive to the properties of the nuclear medium created at RHIC through the strong interactions occurring between the traversing parton and the medium,ie.jet-quenching.Previous measurements revealed a strong modification to di-hadron azimuthal correlations in Au+Au collisions with respect to ptp and d+Au collisions.The modification in-creases with the collision centrality,suggesting a path-length or energy density dependence to the je-quenching ef-fect.This paper reports STAR measurements of dihadron azimuthal correlations in mid-central(20%-60%)Au+Au collisions at√^(S)NN=200 GeV as a function of the trigger particle's azimuthal angle relative to the event plane,Ф_(s)=|Ф_(t)-ψ_(Ep)|.The azimuthal correlation is studied as a function of both the trigger and associated particle pr.The subtractions of the combinatorial background and anisotropic flow,assuming Zero Yield At Minimum(ZYAM),are described.The correlation results are first discussed with subtraction of the even harmonic(elliptic and quadrangu-lar)flow backgrounds.The away-side correlation is strongly modifed,and the modification varies withФ_(s),with a double-peak structure for out-of-plane trigger particles.The near-side ridge(long range pseudo-rapidity△_(η)correla-tion)appears to drop with increasingФ_(s)while the jet-like component remains approximately constant.The correla-tion functions are further studied with the subtraction of odd harmonic triangular flow background arising from fluc-tuations.It is found that the triangular flow,while responsible for the majority of the amplitudes,is not sufficient to explain theφs-dependence of the ridge or the away-side double-peak structure.The dropping ridge withФ_(s)could be attributed to aФ_(s)-dependent lliptie anisotropy;however,the physics mechanism of the ridge remains an open ques-tion.Even with aФ_(s)-dependent elliptic flow,the away-side correlation structure is robust.These results,with exte展开更多
Investigations were carried out to examine the effects of Co addition on the glass-forming ability (GFA) and corrosion resistance of Zr46Cu46AI8 bulk metallic glass in chloride-containing solution. It is found that ...Investigations were carried out to examine the effects of Co addition on the glass-forming ability (GFA) and corrosion resistance of Zr46Cu46AI8 bulk metallic glass in chloride-containing solution. It is found that the GFA of (Zr46Cu46Al8)100-xCox (x = 0, 1, 2, and 4 at.%) alloys reduces with the increase in Co content and correlates well with the parameters, such as the supercooled liquid region width ATx, the reduced glass transition temperature Trg and γ. The corrosion resistance is however found to be enhanced with the in- crease in Co concentration. The addition of Co causes the enrichment of Zr and Al, but depletes Cu in the surface films, which effectively enhances the corrosion potential and lowers the corrosion current density.展开更多
With the development of cold region engineering,it is crucial to study the mechanical properties of frozen soil.In practice,frozen soil is inevitably subject to impact loading,making the study of frozen soil under imp...With the development of cold region engineering,it is crucial to study the mechanical properties of frozen soil.In practice,frozen soil is inevitably subject to impact loading,making the study of frozen soil under impact loading necessary for engineering in cold regions.The split–Hopkinson pressure bar(SHPB)is an important experimental means for obtaining the dynamic performance of materials.In this study,an SHPB experiment was conducted on frozen soil under confining pressure.The frozen soil exhibited an evident strain rate effect and temperature effect under confining pressure.The SHPB experiment on frozen soil under confining pressure was simulated numerically using LS-DYNA software and the Holmquist–Johnson–Cook(HJC)material model.A loading simulation with passive confining pressure and active confining pressure was completed by adding an aluminum sleeve and applying a constant load.The simulation results obtained using the above methods were in good agreement with the experimental results.The strength of the frozen soil under confining pressure was greater than that of the uniaxial impact,and there was an evident confining pressure effect.Furthermore,the confining pressure provided by passive confinement was larger than that provided by active confinement.The passive confining pressure energy absorption efficiency was higher than for the active confining pressure due to the need to absorb more energy under the same damage conditions.The frozen soil exhibited viscoplastic failure characteristics under confining pressure.展开更多
The Cr Fe Co Ni high-entropy alloy(HEA)exhibits excellent mechanical properties at lower temperatures due to its low stacking-fault energy,however,its medium-and high-temperature strengths are still insufficient.In co...The Cr Fe Co Ni high-entropy alloy(HEA)exhibits excellent mechanical properties at lower temperatures due to its low stacking-fault energy,however,its medium-and high-temperature strengths are still insufficient.In consideration of the potential diversified applications,more strengthening approaches except for the previously proposed L12 phase hardening deserve further exploration due to its rapid coarsening tendency at high temperatures.Here,we achieved significant high-temperature strengthening of the cast Cr Fe Co Ni HEA by in-situ precipitation of highly thermostable carbides.Alloys with 0.5 at.%and 1 at.%niobium and carbon were prepared by simple casting processes,i.e.drop cast,solute solution and aging.A highly thermostable microstructure was formed,which comprises very coarse grains accompanied with extensive thermostable carbide precipitates embedded,including submicrometer coherent Nb C particles in grain interiors and intergranular coherent M_(23)C_(6)carbides.This high thermostability of microstructure,which is beneficial for the high-temperature loading,is ascribed to the synergy of lacking growth driving force and Zenner pinning effect by the carbides.Tensile properties tested at 673,873 and1073 K show that the yield strength and ultimate tensile strength are significantly increased by Nb/C doping,along with the elongation escalation at higher temperatures.The strengthening is mainly due to the precipitation hardening of carbide particles.展开更多
In this paper, we examine the best time to sell a stock at a price being as close as possible to its highest price over a finite time horizon [0, T], where the stock price is modelled by a geometric Brownian motion an...In this paper, we examine the best time to sell a stock at a price being as close as possible to its highest price over a finite time horizon [0, T], where the stock price is modelled by a geometric Brownian motion and the 'closeness' is measured by the relative error of the stock price to its highest price over [0, T]. More precisely, we want to optimize the expression:V^*=sup 0≤τ≤T E[Vτ/MT],where (Vt)t≥0 is a geometric Drownian motion with constant drift α and constant volatility σ 〉 0, Mt = max Vs 0≤a〈t is the running maximum of the stock price, and the supremum is taken over all possible stopping times 0 ≤ τ≤T adapted to the natural filtration (Ft)t≥0 of the stock price. The above problem has been considered by Shiryacv, Xu and Zhou (2008) and Du Toit and Peskir (2009). In this paper we provide an independent proof that when α=1/ 2 σ^2 , a selling strategy is optimal if and only if it sells the stock either at the terminal time T or at the 1 2 moment when the stock price hits its maximum price so far. Besides, when α 〉1/2σ^2 , selling the stock at the terminal time T is the unique optimal selling strategy. Our approach to the problem is purely probabilistic and has been inspired by relating the notion of dominant stopping pr of a stopping time τ to the optimal stopping strategy arisen in the classical "Secretary Problem".展开更多
基金We are grateful to Prof.J.Arafune of ICRR,University of Tokyo and Prof.S.X.Fan of IHEP,Chinese Academy of Science for their support and encouragement.
文摘Data from the Tibet air shower array were used to examine the cosmic ray shadows of the Moon and the Sun at energies around 10Tev.The shadowing effect was clearly observed at the 5.8level for the Moon,while the shadow of the Sun was found in the direction away from the sun by 0.86°tothe west and 0.43°to the south.The effect of the geomagnetic field has also been observed in the shadow of cosmic rays by the Moon.The observed deflection of the sun’s shadow is briefly discussed in connection with the effect of the magnetic fields between the sun and the Earth.This is the first observation of the effects of such magnetic fields on the cosmic ray shadow.The maximum-likelihood analysis of the Moon data set shows that the angular resolutions of the array for showers with its mode energies 7TeVand 35TeV are 0.87°-0.13°+0.10°and 0.54°-0.08°+0.11°,respectively.
基金The authors are very grateful to Dr.Y.Dai of Spallation Materials Technology Spallation Neutron Source Division,Paul Scherrer Institute for his helpful comments and discussions.This work was supported by special Funds for Major State Basic Research Project of China(973)under Grant nos.2007CB925004 and 2008CB717802Knowledge Innovation Program of Chinese Academy of Sciences under Grant no.KJCX2-YW-N35+1 种基金National Science Foundation of China under Grant no.11005124China Postdoctoral Science Foundation funded project under Grant no.20100470863,and Director Grants of CASHIPS.Part of the calculations were performed in Center for Computational Science of CASHIPS.
文摘A cluster dynamics model based on rate theory has been developed to describe the accumulation and diffusion processes of helium in tungsten under helium implantation alone or synergistic irradiationwith neutron,by involving different types of objects,adopting up-to-date parameters and complex reaction processes as well as considering the diffusion process along with depth.The calculated results under different conditions are in good agreement with experiments much well.The model describes the behavior of helium in tungsten within 2D space of defect type/size and depth on different ions incident conditions(energies and fluences)and material conditions(system temperature and existent sinks),by including the synergistic effect of helium-neutron irradiations and the influence of inherent sinks(dislocation lines and grain boundaries).The model,coded as IRadMat,would be universally applicable to the evolution of defects for ions/neutron irradiated on plasma-facing materials.
基金financial support from the Shenyang National Laboratory for Materials Science,Institute of Metal Research。
文摘Over the past decades,considerable efforts have been made in the commercial application of bulk metallic glasses(BMGs).Despite great challenges faced by the industrial players,significant progress has been achieved,and millions of commercial products for various kinds of applications have been shipped around the world.Here in this paper,we shall present the alloys suitable for the actual products in the application and discuss the merits of the processing technique of BMGs over the existing processing techniques and materials.Most importantly we demonstrate the typical examples of products over the past few years.Finally,future directions of the industrialization of BMGs are also discussed.
文摘Strong, tough, and almost fully dense C fiber reinforced celsian matrix composites have been fabricated by impregnation of the fiber tows with the matrix slurry, winding on a drum, drying, stacking the prepreg tapes in the desired orientation, and hot pressing. The monoclinic celsian phase in the matrix was produced in situ, during hot pressing, from amphosous BAS. The unidirectional composites having ≈20 vol% of fibers exhibited graceful failure with extensive fiber pullout in three point bend tests at room temperature. Values of ultimate flexural strength and fracture toughness were 379MPa and 8 3MPa·m 1/2 , respectively.
文摘The dielectric properties of nano Si/C/N composite powder and nano SiC powder at high frequencies have been studied. The nano Si/C/N composite powder and nano SiC powder were synthesized from hexamethyldisilazane ((Me 3Si) 2NH) (Me:CH 3) and SiH 4 C 2H 2 respectively by a laser induced gas phase reaction. The complex permittivities of the nano Si/C/N composite powder and nano SiC powder were measured between 8 2GHz and 12 4GHz. The real and imaginary parts of the complex permittivities of nano Si/C/N composite powder are much higher than those of nano SiC powder. The SiC microcrystalline in the nano Si/C/N composite powder dissolved a great deal of nitrogen. The local structure around Si atoms changed by introducing N into SiC. Carbon atoms around Si were substituted by N atoms. So charged defects and quasi free electrons moved in response to the electric field, diffusion or polarization current resulted from the field propagation. The high ε″and loss factor tgδ(ε″/ε′) of Si/C/N composite powder were due to the dielectric relaxation.
文摘A series of PbBr 2 PbCl 2 P 2O 5 glasses have been prepared and characterized to research the effect of melting temperature on the properties of glasses. The glass forming regions have been explored and the stability of the glasses against crystallization studied. The density, characteristic temperatures, chemical analysis compositions, and infrared absorption spectra of the glasses were measured. Results show that the PbBr 2 PbCl 2 P 2O 5 ternary system melted at 530~540℃ has a broader glass forming region which extended to the side of PbBr2 than that melted at 450~470℃. The glass transition temperature is more than 200℃ and the density is more than 5 5 g·cm 3 . Both the chemical analysis composition and the infrared absorption spectra of some glasses melted at 530~540℃ show that the decomposition of NH 4H 2PO 4 is more complete than that of glasses melted at 450~470℃.
基金the National Key R&D Program(Grant No.2017YFA0402300)the National Natural Science Foundation of China(Grant Nos.11974359 and U1632143)。
文摘We revisit the laser-intensity-dependent ionization and fragmentation yields of C60 molecules irradiated by 25-fs,798-nm laser pulses based on the approach in which photoions are measured via a velocity map imaging spectrometer working in a time-sliced mode.This approach dramatically improves the signal-to-background ratio compared to those using a simple(traditional)time-of-flight mode(spectrometer),and thus allows us to measure the laser-intensity dependences down to a previously untouched region,which is expected to provide new insights into the intense-field ionization and fragmentation of C60.Indeed,we find that the saturation intensities for C60 ionizations and the onset intensity for C60 fragmentation are much lower than those reported in previous experiments.Furthermore,the derived saturation-intensity dependence on charge distribution demonstrates the validity of the over-the-barrier ionization using a conducting sphere model.
基金Supported in part by the Offices of NP and HEP within the U.S.DOE Office of Sciencethe U.S.NSF+18 种基金the Sloan Foundationthe DFG cluster of excellence‘Origin and Structure of the Universe’of Germany,CNRS/IN2P3STFC and EPSRC of the United KingdomFAPESP CNPq of Brazil,Ministry of Ed.Sci.of the Russian FederationNNSFCCASMoSTMoE of ChinaGA and MSMT of the Czech RepublicFOM and NWO of the NetherlandsDAEDSTCSIR of IndiaPolish Ministry of Sci.Higher Ed.,Korea Research Foundation,Ministry of Sci.,Ed.Sports of the Rep.Of CroatiaRussian Ministry of Sci.and TechRos-Atom of Russia。
文摘Dihadron azimuthal correlations containing a high transverse momentum(pr)trigger particle are sensit-ive to the properties of the nuclear medium created at RHIC through the strong interactions occurring between the traversing parton and the medium,ie.jet-quenching.Previous measurements revealed a strong modification to di-hadron azimuthal correlations in Au+Au collisions with respect to ptp and d+Au collisions.The modification in-creases with the collision centrality,suggesting a path-length or energy density dependence to the je-quenching ef-fect.This paper reports STAR measurements of dihadron azimuthal correlations in mid-central(20%-60%)Au+Au collisions at√^(S)NN=200 GeV as a function of the trigger particle's azimuthal angle relative to the event plane,Ф_(s)=|Ф_(t)-ψ_(Ep)|.The azimuthal correlation is studied as a function of both the trigger and associated particle pr.The subtractions of the combinatorial background and anisotropic flow,assuming Zero Yield At Minimum(ZYAM),are described.The correlation results are first discussed with subtraction of the even harmonic(elliptic and quadrangu-lar)flow backgrounds.The away-side correlation is strongly modifed,and the modification varies withФ_(s),with a double-peak structure for out-of-plane trigger particles.The near-side ridge(long range pseudo-rapidity△_(η)correla-tion)appears to drop with increasingФ_(s)while the jet-like component remains approximately constant.The correla-tion functions are further studied with the subtraction of odd harmonic triangular flow background arising from fluc-tuations.It is found that the triangular flow,while responsible for the majority of the amplitudes,is not sufficient to explain theφs-dependence of the ridge or the away-side double-peak structure.The dropping ridge withФ_(s)could be attributed to aФ_(s)-dependent lliptie anisotropy;however,the physics mechanism of the ridge remains an open ques-tion.Even with aФ_(s)-dependent elliptic flow,the away-side correlation structure is robust.These results,with exte
基金financially supported by the National Natural Science Foundation of China (No. 51401139)the Basic Research Program of Jiangsu Province (No. BK20130304)
文摘Investigations were carried out to examine the effects of Co addition on the glass-forming ability (GFA) and corrosion resistance of Zr46Cu46AI8 bulk metallic glass in chloride-containing solution. It is found that the GFA of (Zr46Cu46Al8)100-xCox (x = 0, 1, 2, and 4 at.%) alloys reduces with the increase in Co content and correlates well with the parameters, such as the supercooled liquid region width ATx, the reduced glass transition temperature Trg and γ. The corrosion resistance is however found to be enhanced with the in- crease in Co concentration. The addition of Co causes the enrichment of Zr and Al, but depletes Cu in the surface films, which effectively enhances the corrosion potential and lowers the corrosion current density.
基金This work was supported by the National Natural Science Foundation of China(Grants 11672253 and 11972028)the Opening Foundation of the State Key Laboratory of Frozen Soil Engineering(Grant SKLFSE201918)and the Opening Foundation of the State Key Laboratory for Strength and Vibration of Mechanical Structures(Grant SV2019-KF-19).
文摘With the development of cold region engineering,it is crucial to study the mechanical properties of frozen soil.In practice,frozen soil is inevitably subject to impact loading,making the study of frozen soil under impact loading necessary for engineering in cold regions.The split–Hopkinson pressure bar(SHPB)is an important experimental means for obtaining the dynamic performance of materials.In this study,an SHPB experiment was conducted on frozen soil under confining pressure.The frozen soil exhibited an evident strain rate effect and temperature effect under confining pressure.The SHPB experiment on frozen soil under confining pressure was simulated numerically using LS-DYNA software and the Holmquist–Johnson–Cook(HJC)material model.A loading simulation with passive confining pressure and active confining pressure was completed by adding an aluminum sleeve and applying a constant load.The simulation results obtained using the above methods were in good agreement with the experimental results.The strength of the frozen soil under confining pressure was greater than that of the uniaxial impact,and there was an evident confining pressure effect.Furthermore,the confining pressure provided by passive confinement was larger than that provided by active confinement.The passive confining pressure energy absorption efficiency was higher than for the active confining pressure due to the need to absorb more energy under the same damage conditions.The frozen soil exhibited viscoplastic failure characteristics under confining pressure.
基金financially supported by the National Nature Science Foundation of China(Nos.51971099 and 11805171)。
文摘The Cr Fe Co Ni high-entropy alloy(HEA)exhibits excellent mechanical properties at lower temperatures due to its low stacking-fault energy,however,its medium-and high-temperature strengths are still insufficient.In consideration of the potential diversified applications,more strengthening approaches except for the previously proposed L12 phase hardening deserve further exploration due to its rapid coarsening tendency at high temperatures.Here,we achieved significant high-temperature strengthening of the cast Cr Fe Co Ni HEA by in-situ precipitation of highly thermostable carbides.Alloys with 0.5 at.%and 1 at.%niobium and carbon were prepared by simple casting processes,i.e.drop cast,solute solution and aging.A highly thermostable microstructure was formed,which comprises very coarse grains accompanied with extensive thermostable carbide precipitates embedded,including submicrometer coherent Nb C particles in grain interiors and intergranular coherent M_(23)C_(6)carbides.This high thermostability of microstructure,which is beneficial for the high-temperature loading,is ascribed to the synergy of lacking growth driving force and Zenner pinning effect by the carbides.Tensile properties tested at 673,873 and1073 K show that the yield strength and ultimate tensile strength are significantly increased by Nb/C doping,along with the elongation escalation at higher temperatures.The strengthening is mainly due to the precipitation hardening of carbide particles.
基金supported by the Hong Kong RGC GRF 502909The Hong Kong Polytechnic University Internal Grant APC0D+1 种基金The Hong Kong Polytechnic University Collaborative Research Grant G-YH96supported by an internal grant of code 201109176016 from the University of Hong Kong
文摘In this paper, we examine the best time to sell a stock at a price being as close as possible to its highest price over a finite time horizon [0, T], where the stock price is modelled by a geometric Brownian motion and the 'closeness' is measured by the relative error of the stock price to its highest price over [0, T]. More precisely, we want to optimize the expression:V^*=sup 0≤τ≤T E[Vτ/MT],where (Vt)t≥0 is a geometric Drownian motion with constant drift α and constant volatility σ 〉 0, Mt = max Vs 0≤a〈t is the running maximum of the stock price, and the supremum is taken over all possible stopping times 0 ≤ τ≤T adapted to the natural filtration (Ft)t≥0 of the stock price. The above problem has been considered by Shiryacv, Xu and Zhou (2008) and Du Toit and Peskir (2009). In this paper we provide an independent proof that when α=1/ 2 σ^2 , a selling strategy is optimal if and only if it sells the stock either at the terminal time T or at the 1 2 moment when the stock price hits its maximum price so far. Besides, when α 〉1/2σ^2 , selling the stock at the terminal time T is the unique optimal selling strategy. Our approach to the problem is purely probabilistic and has been inspired by relating the notion of dominant stopping pr of a stopping time τ to the optimal stopping strategy arisen in the classical "Secretary Problem".