A SHELL CLASSIFICATION BY INTERPOLATION-Reference-Cited by-同舟云学术

A SHELL CLASSIFICATION BY INTERPOLATION

Published:2002-10 Issue:10 Volume:12 Page:1359-1380
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BAIOCCHI C.¹,LOVADINA C.²

Affiliation:

1. Dipartimento di Matematica "Guido Castelnuovo", Università di Roma "La Sapienza", Piazzale A. Moro, Italy

2. Dipartimento di Matematica, Università di Pavia, Via ferrata 1, Italy

Abstract

The shell problem and its asymptotic are investigated. A connection between the asymptotic behavior and real interpolation theory is established. Thus, a detailed study of the cases when neither the bending energy nor the membrane energy dominate is provided. An application to a cylindrical shell is also detailed. Although only the Koiter shells have been considered, the same procedure can be used for other models, such as Naghdi's one, for example.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021820250200215X

Reference8 articles.

1. SINGULAR PERTURBATION AND INTERPOLATION

2. Existence and uniqueness for the linear Koiter model for shells with little regularity

3. Fundamental considerations for the finite element analysis of shell structures

4. On the locking phenomenon for a class of elliptic problems

5. Asymptotic analysis of linearly elastic shells. III. Justification of Koiter's shell equations

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