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

01.07.2013

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

verfasst von: Mircea Bîrsan, Patrizio Neff

Erschienen in: Journal of Elasticity | Ausgabe 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.
Vorheriger Artikel Tangent Second-Order Estimates for the Large-Strain, Macroscopic Response of Particle-Reinforced Elastomers
Nächster Artikel A Note on the Elastic and Geometric Bounds for Composite Laminates

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Metadaten
Titel
Existence Theorems in the Geometrically Non-linear 6-Parameter Theory of Elastic Plates
verfasst von
Mircea Bîrsan
Patrizio Neff
Publikationsdatum
01.07.2013
Verlag
Springer Netherlands
Erschienen in
Journal of Elasticity / Ausgabe 2/2013
Print ISSN: 0374-3535
Elektronische ISSN: 1573-2681
DOI
https://doi.org/10.1007/s10659-012-9405-2

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