Title :
Development of computer programme for the description of plastic deformation by slip
Author :
Semenov, Mike E. ; Kolupaeva, S.N.
Author_Institution :
Lab. of Comput. Aided Design of Adv. Mater., Inst. of Strength Phys. & Mater. Sci., Tomsk, Russia
Abstract :
The interface and structure of a package of applied programs for the description of plastic deformation by slip in f.c.c. materials are developed. The mathematical model used for calculations is based on the set of differential equations of balance of deformation defects in f.c.c. materials. The processes of generation and annihilation of deformation defects have essentially different rates, and the system of ODE (ordinary differential equations) is stiff. Application of implicit absolutely steady methods is necessary in this situation, because classical Runge-Kutta´s methods can require much time for calculations. In this case the use of implicit multistep Gear´s method of the variable order for decision the system of ODE is more effective. The applied programs for the description of plastic deformation are oriented for the users who have different qualification in programming and are not require an experience of decision of ODE.
Keywords :
Runge-Kutta methods; differential equations; iterative methods; mathematical analysis; plastic deformation; programming; slip; Runge-Kutta´s methods; computer programme; mathematical model; multistep Gears method; ordinary differential equations; plastic deformation; slip;
Conference_Titel :
Science and Technology, 2003. Proceedings KORUS 2003. The 7th Korea-Russia International Symposium on
Conference_Location :
Ulsan, South Korea
Print_ISBN :
89-7868-617-6