 | | 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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| << Previous article | Volume 59, Issue 3 / 2024 | Next article >> |
| S.V. Selyugin, "Complementary Energy Theorem for Thin Composite Plates in Postbuckling," Mech. Solids. 59 (3), 1290-1300 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
3 |
Pages |
1290-1300 |
| DOI |
10.1134/S0025654424602957 |
| Title |
Complementary Energy Theorem for Thin Composite Plates in Postbuckling |
| Author(s) |
S.V. Selyugin (Department of Airplane Design and Certification, Moscow Aviation Institute (National Research University), Moscow, 125993 Russia, selyuginSV@mai.ru) |
| Abstract |
Composite supercritically deformable thin plates are considered in the von Karman approximation. Based on the use of the first Piol stress tensor and the displacement gradient tensor, a variational theorem on additional energy is proven. The proof is carried out within the framework of Kirchhoff’s hypotheses. The laying of the layers of the plate is considered symmetrical; the angles of laying
the layers can vary from point to point of the plate. In accordance with the theorem, for a truly realized
stressed state of the plate, its additional energy (as a functional of internal forces and moments) reaches
a stationary value, in comparison with other statically possible states. The proven theorem constitutes
the content of the static variational principle of possible stresses, leading to linear relationships for linear forces/moments created by the corresponding components of the first Piol stress tensor, and 2D
strains/curvatures. An example is presented to illustrate the use of the theoretical results obtained. |
| Keywords |
composite plates, supercritical deformation, additional energy, Piola’s first stress tensor. |
| Received |
20 December 2023 | Revised |
09 January 2024 | Accepted |
16 January 2024 |
| Link to Fulltext |
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