Email this article Two-dimensional model of a plate made of an anisotropic inhomogeneous material
- Authors: Tovstik P.E.1,2, Tovstik T.P.2
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Affiliations:
- St.-Petersburg State University
- Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences
- Issue: Vol 52, No 2 (2017)
- Pages: 144-154
- Section: Article
- URL: https://ogarev-online.ru/0025-6544/article/view/162904
- DOI: https://doi.org/10.3103/S0025654417020042
- ID: 162904
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Abstract
We present an asymptotic derivation of the two-dimensional equations of equilibrium of a thin elastic inhomogeneous plate manufactured of an anisotropic material of general form with 21 moduli of elasticity. We also consider simplified models obtained under special assumptions on the moduli. We use test examples to illustrate the error estimate of the proposed model and discuss its scope. The model is compared with the classical Kirchhoff–Love and Timoshenko–Reissner models.
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About the authors
P. E. Tovstik
St.-Petersburg State University; Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences
Email: tovstik_t@mail.ru
Russian Federation, Universitetskaya nab. 7–9, St. Petersburg, 199034; Bol’shoy pr. 61, St. Petersburg, 199078
T. P. Tovstik
Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences
Author for correspondence.
Email: tovstik_t@mail.ru
Russian Federation, Bol’shoy pr. 61, St. Petersburg, 199078
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