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

O.A.Mikenina, A.F.Revuzhenko Linear elasticity theory free from diffeomorphism: plane deformation // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2020. № 3(45). p. 162-167
Author(s):O.A.Mikenina, A.F.Revuzhenko
Index of UDK:539.371
DOI:10.37972/chgpu.2020.60.58.016
Title:Linear elasticity theory free from diffeomorphism: plane deformation
Keywords:

elasticity theory, affine deformation, plane deformation, constitutive equations.

Abstracts:

The authors create a two-dimensional model of a linearly elastic body at considerably weakened postulate of diffeomorphism-supposed smoothness of field of displacements. One field of displacements as in the classical model is replaced by two smooth fields of displacements. The authors discuss formulations of boundary value problem and prove the unicity theorem. 

The contact details of authors:

Olga Aleksandrovna Mikenina, Junior researcher, Candidate of physical and mathematical Sciences, N.A.Chinakal Institute of mining SB RAS, Novosibirsk, Russia.

Aleksandr Filippovich Revuzhenko, Head of the laboratory, Professor, Doctor of physical and mathematical Sciences, N.A.Chinakal Institute of mining SB RAS, Novosibirsk, Russia.

Pages:162-167
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