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
  • [1] Appell J., Zabrejko P.P., Nonlinear Superposition Operators, (1990)
  • [2] Denis S., Hazotte A., Wen I.E., Gautieu E., Micromechanical approach by finite elements to the microstructural evolutions and mechanical behaviour of two-phase metallic alloys, IUTAM'95 Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials in Paris, pp. 289-296, (1995)
  • [3] Gajewski H., Groger K., Zacharias K., Nonlinear Operator Equations and Operator Differential Equations (in German), (1974)
  • [4] Gregus M., Svec M., Seda V., Ordinary Differential Equations (in Slovak), (1985)
  • [5] Kacur J., Method of Rothe in Evolution Equations, (1985)
  • [6] Kacur J., Solution to Strongly Nonlinear Parabolic Problem by a Linear Approximation Scheme, (1996)
  • [7] Kolar V., Nonlinear Mechanics (in Czech), (1985)
  • [8] MaZ'Ya V.G., Sobolev Spaces (in Russian), (1985)
  • [9] Necas J., Hlavacek I., Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction, (1981)
  • [10] Petterman H.E., Bohm H.J., Rammerstorfer F.G., An elasto-plastic constitutive law for composite materials, Modelling in Materials Science and Processing, pp. 384-392, (1996)
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