Classification of thin shell models deduced from the nonlinear three-dimensional elasticity. Pt. 1, The shallow shells

• Autorzy: Hamdouni A. , Millet O.
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to construct a classification of asymptotic shell models (inferred from the non linear three-dimensional elasticity) with respect to the applied forces and to the geometrical data. To do this, we use a constructive approach based on a dimensional analysis of the nonlinear three-dimensional equilibrium equations, which naturally gives rise to the appearance of dimensionless numbers characterizing the applied forces and the geometry of the shell. In order to limit our study to one-scale problems, these dimensionless numbers are expressed in terms of to the relative thickness ... of the shell, which is considered as the perturbation parameter. This leads, on the one hand, to distinguish shallow shells from strongly curved shells which have a different asymptotic behaviour, and on the other hand, to fix the applied force level. For each of these two classes of shells, using the usual asymptotic method, we propose a complete classification of two-dimensional shell models based on decreasing force levels, from severe to low. In the first part of this paper, we present the classification for shallow shells. We obtain successively the nonlinear membrane model, another membrane model, Koiter's non linear shallow shell model, and the linear Novozhilov-Donnell one, respectively for severe, high, moderate and low forces.

Słowa kluczowe

EN

nonlinear elasticity; shell theory; dimensional analysis; asymptotic method; nonlinear membrane model; Koiter's nonlinear model; linear Novozhilov-Donnell model

PL

nieliniowa sprężystość; analiza wymiarowa; nieliniowy model Koiter'a; metoda asymptotyczna; model membranowy; liniowy model Novozhilov-Donnell'a

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2003
• Tom: Vol. 55, nr 2
• Strony: 135--175
• Opis fizyczny: Bibliogr. 49 poz.

Twórcy

autor

Hamdouni A.

• LEPTAB, University of La Rochelle, Av. Crepeau, 17042 La Rochelle cedex 01, France

autor

Millet O.

• LML, CNRS, Universite de Litle 1, Bd. Paul Langevin, 59655 Villeneuve d'Ascq, France

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