Two-dimensional model of a plate made of an anisotropic inhomogeneous material


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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.

Sobre autores

P. Tovstik

St.-Petersburg State University; Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences

Email: tovstik_t@mail.ru
Rússia, Universitetskaya nab. 7–9, St. Petersburg, 199034; Bol’shoy pr. 61, St. Petersburg, 199078

T. Tovstik

Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences

Autor responsável pela correspondência
Email: tovstik_t@mail.ru
Rússia, Bol’shoy pr. 61, St. Petersburg, 199078

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