Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state

Bulletin 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

Y. V. Astapov, A. A. Markin Finite deformations of the elastic bodies under the interaction with the rigid rough plane // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2016. № 3(29). p. 64-75
Author(s):Y. V. Astapov, A. A. Markin
Index of UDK:539.3
DOI:
Title:Finite deformations of the elastic bodies under the interaction with the rigid rough plane
Keywords:

finite deformations, plane problems, equilibrium course of the process, elasticity, generalized Yaumann derivative, Amontons – Coulomb’s law

Abstracts:

The finite deformations problem of hypoelestic bodies has been presented using variational condition of the equilibrium course of the process of deformation. Contact friction was considered in a form of the Amontons – Coulomb’s law. The variant of an iterative algorithm to take into account tangential stresses in contact zone is proposed. Current work contains the results of numerical solution of a problem about the calculation of the stress-strained state of the cylindrical bodies under the interaction with the rigid plane. The results of solution are in qualitatively agreement with the common data from literature.

The contact details of authors:

Astapov Yuri Vladimirovich

e-mail: ast3x3@gmail.com, undergraduate of the Mathematical Modeling department, Tula State University, Tula, Russia.

Markin Alexey Alexandrovich

e-mail: markin-nikram@yandex.ru, Dr. Sci. Phys. & Math., Professor, head of the Mathematical Modeling department, Tula State University, Tula, Russia

 

Pages:64-75
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