On flat equilibrium shapes of inhomogeneous anisotropic elastic plates and rods

An asymptotic analysis of deformations of anisotropic inhomogeneous thin elastic plates and rods is performed. In the linear formulation, the flat equilibrium shapes of the limiting surface and the limiting line of such thin bodies are shown to be unstable.

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Bibliographic Details
Published in:Vestnik, St. Petersburg University. Mathematics St. Petersburg University. Mathematics, 2015-10, Vol.48 (4), p.271-274
Main Authors: Zimin, B. A., Zorin, I. S.
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Mechanics
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Description
Summary:An asymptotic analysis of deformations of anisotropic inhomogeneous thin elastic plates and rods is performed. In the linear formulation, the flat equilibrium shapes of the limiting surface and the limiting line of such thin bodies are shown to be unstable.
ISSN:1063-4541
1934-7855
DOI:10.3103/S1063454115040135