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

被引:0
|
作者
P. E. Tovstik
T. P. Tovstik
机构
[1] St.-Petersburg State University,
[2] Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences,undefined
来源
Mechanics of Solids | 2017年 / 52卷
关键词
plate; anisotropy; inhomogeneity; asymptotics;
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摘要
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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页码:144 / 154
页数:10
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