As an example of the La-Mg-Y system, the method how to set up the themaodynamic model of individual phases was introduced in the process of thermodynamic optimization. The solution phases （liquid, body-centered cubic...As an example of the La-Mg-Y system, the method how to set up the themaodynamic model of individual phases was introduced in the process of thermodynamic optimization. The solution phases （liquid, body-centered cubic, face-centered cubic, hexagonal close-packed and double hexagonal close-packed） were modeled with the Redlich-Kister equation. The compound energy model has been used to describe the thermodynamic functions of the intermetallic compounds in the La-Mg-Y systems. The compounds Mg2Y, Mg24Y5, Mg12La, Mg17La2, Mg41Las, Mg3La and Mg2La in the La-Mg-Y system were treated as the formulae （Mg,Y）2（La,Mg,Y）, Mg24（La,Mg,Y）4Y, Mg12（La, Y）, Mg17（La,Y）2, Mg41（La,Y）5, Mg3（La,Mg,Y） and Mg2（La, Y）, respectively. A model （La, Mg,Y）0.5（La,Mg,Y）0.5 was applied to describe the compound MgM formed by MgLa and MgY in order to cope with the order-disorder transition between body-centered cubic solution （A2） and MgM with CsCl-type structure （B2） in the La-Mg-Y system. The Gibbs energies of individual phases were optimized in the La-Mg, La-Y and La-Mg-Y systems by CALPHAD technique. The projection of the liquidus surfaces for the La-Mg-Y system was predicted. The Mg-based alloys database including 36 binary and 15 ternary systems formed by Mg, Al, Cu, Ni, Mn, Zn and rare earth elements was set up in SGTE standard.展开更多
The EI Nino/La Nina-Southern Oscillation （ENSO） is an interannual phenomenon involved in the tropical Pacific Ocean-atmosphere interactions. In this paper, an asymptotic method of solving the nonlinear equation for ...The EI Nino/La Nina-Southern Oscillation （ENSO） is an interannual phenomenon involved in the tropical Pacific Ocean-atmosphere interactions. In this paper, an asymptotic method of solving the nonlinear equation for the ENSO model is created. And based on a class of oscillator of the ENSO model, the approximate solution of a corresponding problem is studied by employing the method of homotopic mapping. It is proved from the results that the homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere-ocean oscillation for the ENSO model.展开更多
A class of coupled system to oscillate of the E1 Nino/La Nino-Southern Oscillation （ENSO） mechanism is studied. Using the perturbed theory, the asymptotic expansions and asymptotic behavior of the solution for an EN...A class of coupled system to oscillate of the E1 Nino/La Nino-Southern Oscillation （ENSO） mechanism is studied. Using the perturbed theory, the asymptotic expansions and asymptotic behavior of the solution for an ENSO model are obtained.展开更多
根据热力学理论推导出了可以用于估计La基(如La55Cu15Ni5Al25,La55Cu10Ni5Al25Co5,La55Al25Ni20 and La55Cu10Ni10Al25)非晶合金固液自由能差的表达式。当La55Cu15Ni5Al25、La55Cu10Ni5Al25Co5、La55Al25Ni20和La55Cu10Ni10Al25的α值...根据热力学理论推导出了可以用于估计La基(如La55Cu15Ni5Al25,La55Cu10Ni5Al25Co5,La55Al25Ni20 and La55Cu10Ni10Al25)非晶合金固液自由能差的表达式。当La55Cu15Ni5Al25、La55Cu10Ni5Al25Co5、La55Al25Ni20和La55Cu10Ni10Al25的α值分别为0．52、0．3、0．2和0．15时,这个表达式给出的理论结果在很大的过冷区间几乎与实验测定结果重合,远远优于其它表达式给出的结果,并且其重合的最低温度可以分别达到350K(La55Al25Ni20)、450K(La55Cu10Ni5Al25Co5)、370K (La55Cu10Ni10Al25)和200K(La55Cu15Ni5Al25);另一方面,提出了用于估计非晶合金的库兹曼温度TA的表达式,即TA=Tmexp(α-1),发现此表达示估计的TA与通过实验数据计算出的吻合得很好。展开更多
A class of coupled system of the E1 Nino/La Nina-Southern Oscillation （ENSO） mechanism is studied. Using the perturbed theory, the asymptotic expansions of the solution for ENSO model are obtained and the asymptotic...A class of coupled system of the E1 Nino/La Nina-Southern Oscillation （ENSO） mechanism is studied. Using the perturbed theory, the asymptotic expansions of the solution for ENSO model are obtained and the asymptotic behavior of solution for corresponding problem is considered.展开更多
基金This work was financially supported by the National Natural Science Foundation of China (Nos. 50471095 and 50271008).
文摘As an example of the La-Mg-Y system, the method how to set up the themaodynamic model of individual phases was introduced in the process of thermodynamic optimization. The solution phases （liquid, body-centered cubic, face-centered cubic, hexagonal close-packed and double hexagonal close-packed） were modeled with the Redlich-Kister equation. The compound energy model has been used to describe the thermodynamic functions of the intermetallic compounds in the La-Mg-Y systems. The compounds Mg2Y, Mg24Y5, Mg12La, Mg17La2, Mg41Las, Mg3La and Mg2La in the La-Mg-Y system were treated as the formulae （Mg,Y）2（La,Mg,Y）, Mg24（La,Mg,Y）4Y, Mg12（La, Y）, Mg17（La,Y）2, Mg41（La,Y）5, Mg3（La,Mg,Y） and Mg2（La, Y）, respectively. A model （La, Mg,Y）0.5（La,Mg,Y）0.5 was applied to describe the compound MgM formed by MgLa and MgY in order to cope with the order-disorder transition between body-centered cubic solution （A2） and MgM with CsCl-type structure （B2） in the La-Mg-Y system. The Gibbs energies of individual phases were optimized in the La-Mg, La-Y and La-Mg-Y systems by CALPHAD technique. The projection of the liquidus surfaces for the La-Mg-Y system was predicted. The Mg-based alloys database including 36 binary and 15 ternary systems formed by Mg, Al, Cu, Ni, Mn, Zn and rare earth elements was set up in SGTE standard.
基金supported by the Strategic Priority Research Program of the Chinese Academy of Sciences [grant number XDA 19060102]supported by the National Natural Science Foundation of China[grant number 42030410]+2 种基金the Laoshan Laboratory [grant number LSL202202402]the Strategic Priority Research Program of the Chinese Academy of Sciences [grant number XDB40000000]the Startup Foundation for Introducing Talent of NUIST
基金Project supported by the National Natural Science Foundation of China （Grant Nos 90111011 and 10471039）, the State Key Program for Basics Research of China （Grant Nos 2003CB415101-03 and 2004CB418304）, the Key Project of the Chinese Academy of Sciences （Grant No KZCX3-SW-221） and partly by E-Institutes of Shanghai Municipal Education Commission of China （Grant No N.E03004）.
文摘The EI Nino/La Nina-Southern Oscillation （ENSO） is an interannual phenomenon involved in the tropical Pacific Ocean-atmosphere interactions. In this paper, an asymptotic method of solving the nonlinear equation for the ENSO model is created. And based on a class of oscillator of the ENSO model, the approximate solution of a corresponding problem is studied by employing the method of homotopic mapping. It is proved from the results that the homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere-ocean oscillation for the ENSO model.
文摘A class of coupled system to oscillate of the E1 Nino/La Nino-Southern Oscillation （ENSO） mechanism is studied. Using the perturbed theory, the asymptotic expansions and asymptotic behavior of the solution for an ENSO model are obtained.
文摘根据热力学理论推导出了可以用于估计La基(如La55Cu15Ni5Al25,La55Cu10Ni5Al25Co5,La55Al25Ni20 and La55Cu10Ni10Al25)非晶合金固液自由能差的表达式。当La55Cu15Ni5Al25、La55Cu10Ni5Al25Co5、La55Al25Ni20和La55Cu10Ni10Al25的α值分别为0．52、0．3、0．2和0．15时,这个表达式给出的理论结果在很大的过冷区间几乎与实验测定结果重合,远远优于其它表达式给出的结果,并且其重合的最低温度可以分别达到350K(La55Al25Ni20)、450K(La55Cu10Ni5Al25Co5)、370K (La55Cu10Ni10Al25)和200K(La55Cu15Ni5Al25);另一方面,提出了用于估计非晶合金的库兹曼温度TA的表达式,即TA=Tmexp(α-1),发现此表达示估计的TA与通过实验数据计算出的吻合得很好。
基金The National Natural Science Foundation of China under contract Nos 90111011 and 10471039the National Key Project for Basics Research of China under contract Nos 2003CB415101-03 and 2004CB418304+1 种基金the Knowledge Innovation Project of the Chinese Academy of Sciences under contract NO.KZCXZ-YW-Q03-08LASG State Key Laboratory Special Fund and the E-Insitutes of Shanghai Municipal Education Commission under contract NO.N.E03004
文摘A class of coupled system of the E1 Nino/La Nina-Southern Oscillation （ENSO） mechanism is studied. Using the perturbed theory, the asymptotic expansions of the solution for ENSO model are obtained and the asymptotic behavior of solution for corresponding problem is considered.
