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Title: On one mathematical model of creep in superalloys (English)
Author: Vala, Jiří
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 43
Issue: 5
Year: 1998
Pages: 351-380
Summary lang: English
Category: math
Summary: In 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. (English)
Keyword: Strain and stress distributions in superalloys
Keyword: high-temperature creep
Keyword: viscoelasticity
Keyword: interface diffusion
Keyword: PDE’s of evolution
Keyword: method of discretization in time
Keyword: Rothe sequences
MSC: 73F05
MSC: 73F15
MSC: 74D05
MSC: 74D10
MSC: 74H99
idZBL: Zbl 1042.74511
idMR: MR1644132
DOI: 10.1023/A:1022286318503
Date available: 2009-09-22T17:58:41Z
Last updated: 2020-07-02
Stable URL:
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