Vestnik of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State


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Metadata (abstracts and keywords) for the articles in the journal

S.V. Lavrikov, O.A. Mikenina, A.F. Revuzhenko Description of plane deformation of non-elastic bodies using the vector of internal forces and non-archimedean mathematical analysis // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2009. № 1(6). p. 160-171
Author(s):S.V. Lavrikov, O.A. Mikenina, A.F. Revuzhenko
Index of UDK:539.374
DOI:
Title:Description of plane deformation of non-elastic bodies using the vector of internal forces and non-archimedean mathematical analysis
Keywords:

plane deformation, stress tensor, vector of internal forces, internal structure, nonArchimedean space, constitutive equations, closed model, mining rock, opening, softening, algorithm, numerical simulation

Abstracts:

In the paper the general description of plane deformation of media with structure is considered. It is shown that it is more convenient to use the vector of internal forces instead stress tensor. The modeling of medium structure is carried out on the basis of methods of nonArchimedean analysis. The space, coordinate axes of which are non-Archimedean straight lines is introduced. The closed model of mining rock with two scale levels is designed. The numerical solution of the problem about deformation of rock massive near horizontal opening is obtained.

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Pages:160-171
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