TAILIEUCHUNG - COMPUTATIONAL MATERIALS ENGINEERING Episode 3

Tham khảo tài liệu 'computational materials engineering episode 3', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Magnetic Excess Energy In the previous sections we have introduced a thermodynamic model for solutions with multiple sublattices. Based on the ideal solution model we have defined the excess Gibbs energy exGm which contains all deviations from ideal solution behavior. However not all physical effects can easily be incorporated into this mathematical formalism and we have to model these effects separately. A typical example for this is magnetic ordering in ferromagnetic substances such as Fe Co or Ni. Figure 2-12 shows the specific heat capacity of pure Fe with and without contribution from magnetic ordering. Among a number of others a nowadays widely used model for magnetic ordering has been suggested by G. Inden Ind76 . It describes the transition from the disordered state to the magnetically ordered state by a series based on the normalized temperature T T Tc and the magnetic moment 3m. Tc is the Curie temperature and it is defined by the inflection point of the magnetic entropy. For the Gibbs energy contribution of magnetic ordering moGm above the Curie temperature T 1 we have mOGm -RT ln m 1 518 11692 1125 15975 and for T 1 we have moGm RT ln 3m 1 f r 79t-1 474 Ị t - _ 140p 497 518 11692 1 1125 15975 p - t_. T25 10 315 1500 1 - 1 p 1 The parameter p is for fcc metals and for bcc metals. Temperature C FIGURE 2-12 Molar specific heat capacity of pure iron. Calculated from computational thermodynamics and using the database of Section . Solid line Cp including effect of ferromagnetic ordering. Dashed line Cp without magnetic ordering. 36 COMPUTATIONAL MATERIALS ENGINEERING A CALPHAD Thermodynamic Database for Fe-Cr-C In recent times a number of thermodynamic data have become available in the framework of the so-called CALPHAD CALculation of PHAse Diagrams method. Some of these databases have been developed in large research projects such as the European initiative COST or the Scientific Group Thermodynamique Europe SGTE and within these

Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.