 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| A.M. Lokoshchenko, V.V. Teraud, and A.F. Akhmetgaleev, "Steady-State Creep of a Narrow Membrane Inside a Rigid Low Matrix," Mech. Solids. 56 (8), 1668-1683 (2021) |
| Year |
2021 |
Volume |
56 |
Number |
8 |
Pages |
1668-1683 |
| DOI |
10.3103/S0025654421080112 |
| Title |
Steady-State Creep of a Narrow Membrane Inside a Rigid Low Matrix |
| Author(s) |
A.M. Lokoshchenko (Research Institute of Mechanics, Moscow State University, Moscow 119192 Russia, loko@imec.msu.ru)
V.V. Teraud (Research Institute of Mechanics, Moscow State University, Moscow 119192 Russia; Samara State Technical University (Samara Polytech), Samara, Samara oblast, 443100 Russia, ldrnww@gmail.ru)
A.F. Akhmetgaleev (Research Institute of Mechanics, Moscow State University, Moscow 119192 Russia, Achmet206@yandex.ru) |
| Abstract |
The problem of the steady-state creep of a long narrow rectangular membrane under constrained conditions inside a rigid matrix with a piecewise constant dependence of the transverse pressure on time is investigated. The problem considers a long rigid low matrix of rectangular cross section,
in which the height is less than half the width. As an example, the creep of a membrane is studied with
a single change in the transverse pressure with time. Two variants of membrane-matrix contact conditions are considered: perfect sliding and adhesion. In this work, four stages of membrane creep are
investigated. At the first stage (elastic deformation), the membrane, which is flat in the initial state, is
instantly elastically deformed under the action of pressure, acquiring the shape of an open circular
cylindrical shell. At the second stage, the membrane is deformed under conditions of steady creep up
to the moment it touches the upper wall of the matrix. The third stage ends when the membrane
touches the longitudinal walls of the matrix. At the fourth stage, the membrane contacts the matrix
along the transverse and longitudinal sides. Calculation is carried out up to the time of almost complete contact of the membrane with the matrix. The rule of summation of the partial adhesion times
of the membrane to the matrix is considered for this problem statement. |
| Keywords |
long narrow membrane, steady-state creep, low rigid matrix, piecewise constant lateral pressure, ideal sliding, adhesion |
| Received |
17 October 2020 | Revised |
24 February 2021 | Accepted |
10 March 2021 |
| Link to Fulltext |
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