On one mathematical model of creep in superalloys

被引：0
作者：
Vala J. [1 ]
机构：
[1] 613 00 Brno
来源：
Applications of Mathematics | 1998年 / 43卷 / 5期
关键词：
High-temperature creep; Interface diffusion; Method of discretization in time; PDE's of evolution; Rothe sequences; Strain and stress distributions in superalloys; Viscoelasticity;
D O I：
10.1023/A:1022286318503
中图分类号：
学科分类号：
摘要：
In [Sv1] a new micromechanical approach to the prediction of creep flow in composites with perfect matrix/particle interfaces, based on the nonlinear Maxwell viscoelastic model, taking into account a finite number of discrete slip systems in the matrix, has been suggested; high-temperature creep in such composites is conditioned by the dynamic recovery of the dislocation structure due to slip/climb motion of dislocations along the matrix/particle interfaces. In this article the proper formulation of the system of PDE's generated by this model is presented, some existence results are obtained and the convergence of Rothe sequences, applied in the specialized software CDS, is studied.
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页码：351 / 380
页数：29
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共 17 条
  • [11] Svoboda J., Lukas P., Modelling of kinetics of directional coarsening in Ni-superalloys, Acta Materialia, 44, pp. 2557-2565, (1996)
  • [12] Svoboda J., Vala J., Micromodelling of creep in composites with perfect matrix/particle interfaces, Metallic Materials, 36, pp. 109-126, (1998)
  • [13] Vala J., Svoboda J., Kozak V., Cadek J., Modelling discontinuous metal matrix composite behavior under creep conditions: Effect of diffusional matter transport and interface sliding, Scripta Metallurgica et Materialia, 30, pp. 1201-1206, (1994)
  • [14] Vala J., Software package CDS for strain and stress analysis of materials consisting of several phases, Programs and Algorithms of Numerical Mathematics, 8, pp. 199-206, (1996)
  • [15] Vala J., Micromechanical considerations in modelling of superalloy creep flow, Numerical Modelling in Continuum Mechanics, 3, pp. 483-489, (1997)
  • [16] Valanis K.C., A gradient theory of finite viscoelasticity, Archives of Mechanics, 49, pp. 589-609, (1997)
  • [17] Yosida K., Functional Analysis (in Russian), (1967)
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