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A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
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IssuesArchive of Issues2025-2pp.940-957

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K.B. Ustinov, "On Accounting for Surface Effects in Bending of Ultrathin Plates," Mech. Solids. 60 (2), 940-957 (2025)
Year 2025 Volume 60 Number 2 Pages 940-957
DOI 10.1134/S0025654424606189
Title On Accounting for Surface Effects in Bending of Ultrathin Plates
Author(s) K.B. Ustinov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, ustinov@ipmnet.ru)
Abstract The equations for axisymmetric bending of a circular plate of the Föppl-von Kármán type that account for surface effects, namely, the presence of a surface layer characterized by its elastic constants and initial stresses, as well as the presence of initial volumetric stresses, are given. An asymptotic solution for large deflections of the problem of a circular uniformly loaded rigidly clamped plate is obtained under the assumption of constant tensile forces. An assessment of the plate parameters at which surface effects become significant has been made.
Keywords Föppl-von Karman plate, surface elasticity, large deflections, eigenstrains
Received 05 November 2024Revised 10 November 2024Accepted 11 November 2024
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