Computer simulation of physical and mechanical processes running in the reaction cells of high-pressure installations in the course of synthesis of diamonds

被引：3

作者：

Leshchuk A.A. ^{[1
]}

Novikov N.V. ^{[1
]}

Levitas V.I. ^{[2
]}

机构：

[1] Bakul' Institute of Superhard Materials, National Academy of Sciences of Ukraine, Kiev

[2] Texas Tech University, Lubbock, TX

来源：

Strength of Materials | 2001年 / 33卷 / 03期

关键词：

computer simulation; concentration; diamond; finite-element model; graphite; metal melt; phase transition; pressure; temperature;

D O I：

10.1023/A:1010472414042

中图分类号：

学科分类号：

摘要：

We study the problem of finite-element simulation of coupled nonlinear nonstationary processes of electric conductivity, heat conduction, and thermoplasticity taking into account the phase transitions in the materials. As a practical application, we develop a procedure of computer simulation of the process of spontaneous crystallization of diamonds. We solve the problem of determination of the fields of temperature, stresses, and concentrations of phases in the reaction volume of a high-pressure installation and in the local diamond-melt-graphite system in the course of crystallization of diamonds. It is discovered that these fields are strongly coupled, the solutions obtained for the reaction mixture and local system are characterized by a pronounced mutual influence, and the effect of self-regulation of pressure in the reaction zone exists and takes the form of oscillations of pressure about the line of the graphite-diamond phase transition. © 2001 Plenum Publishing Corporation.

引用

页码：277 / 292

页数：15

共 15 条

[1]

Novikov N.V., Leshchuk A.A., Thermomechanical aspects of the process of spontaneous crystallization of diamonds, Fracture Mechanics of Materials and Strength of Structures, pp. 104-108, (1999)

[2]

Leshchuk A.A., Finite-element model of the process of spontaneous crystallization of diamond in high-pressure installation, Vestn. Sevastopol State Tech. Univ.: Mekh., Énerg., Ékolog., 25, pp. 12-20, (2000)

[3]

Zienkievicz O.C., Morgan K., Finite Elements and Approximation, (1983)

[4]

Norrie D.H., De Vries G., An Introduction to Finite-Element Analysis, (1978)

[5]

Novikov N.V., Levitas V.I., Shestakov S.I., Et al., Simulation of electric and temperature fields and the fields of thermal stresses in the HPI by the finite-element method, Sverkhtverd. Mater., 3, pp. 3-8, (1983)

[6]

Idesman A.V., Levitas V.I., Finite element procedure for the solution of contact thermoplastic problems at large strain and normal and high pressures, Comp. Meth. Appl. Mech. Eng., 126, pp. 39-66, (1995)

[7]

Novikov N.V., Levitas V.I., Zolotarev R.A., Et al., Testing of software packages aimed at the solution of thermomechanical problems, Dokl. Akad. Nauk Ukr. SSR, Ser. A, 4, pp. 30-35, (1985)

[8]

Levitas V.I., Idesman A.V., Leshchuk A.A., Polotnyak S.B., Numerical modeling of thermomechanical processes in high pressure apparatus used for superhard materials synthesis, High Pressure Science and Technology, pp. 38-40, (1989)

[9]

Novikov N.V., Levitas V.I., Leshchuk A.A., Idesman A.V., Mathematical modeling of the diamond synthesis process, High Pres. Res., 7, pp. 195-197, (1991)

[10]

Leshchuk A.A., Novikov N.V., Maydanyuk A.P., Thermomechanical state of an HPI reaction cell at the graphite-to-diamond phase transition, High Pressure and Technology, pp. 225-227, (1996)

← 1 2 →