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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025 Number 4, Pages 76–79 (Mi vmumm4709)

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Compression with unloading of flat inhomogeneous in thickness elasto-plastic layer

D. V. Georgievskii

Lomonosov Moscow State University, Institute of Mechanics

Abstract: The important in the applied aspect problem of two-stage compression of a plane layer (laminate), which is nonhomogeneous by thickness and infinite in two directions, is considered. The constitutive relations of the layer material are consistent with the theory of small elasto- plastic deformations. At the first step, one-dimensional compression takes place according to an active process described by a two-link polyline. In the second step, controlled unloading is carried out, as a result of which the thickness of the layer takes a given value at a given compression stress.

Key words: plane layer, laminate, compression, active process, unloading, small elastoplastic deformations, non-homogeneity, material function.

UDC: 539.3

Received: 16.10.2024

DOI: 10.55959/MSU0579-9368-1-66-4-13


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2025, 80:4, 174–177


© Steklov Math. Inst. of RAS, 2026