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Journal of Elasticity
Published in: Journal of Elasticity 2/2013

01-07-2013

Existence Theorems in the Geometrically Non-linear 6-Parameter Theory of Elastic Plates

Authors: Mircea Bîrsan, Patrizio Neff

Published in: Journal of Elasticity | Issue 2/2013

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Abstract

In this paper we show the existence of global minimizers for the geometrically non-linear equations of elastic plates, in the framework of the general 6-parameter shell theory. A characteristic feature of this model for shells is the appearance of two independent kinematic fields: the translation vector field and the rotation tensor field (representing in total 6 independent scalar kinematic variables). For isotropic plates, we prove the existence theorem by applying the direct methods of the calculus of variations. Then, we generalize our existence result to the case of anisotropic plates.
previous article Tangent Second-Order Estimates for the Large-Strain, Macroscopic Response of Particle-Reinforced Elastomers
next article A Note on the Elastic and Geometric Bounds for Composite Laminates

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Metadata
Title
Existence Theorems in the Geometrically Non-linear 6-Parameter Theory of Elastic Plates
Authors
Mircea Bîrsan
Patrizio Neff
Publication date
01-07-2013
Publisher
Springer Netherlands
Published in
Journal of Elasticity / Issue 2/2013
Print ISSN: 0374-3535
Electronic ISSN: 1573-2681
DOI
https://doi.org/10.1007/s10659-012-9405-2

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