✦ LIBER ✦

On a dynamical hierarchical model for prismatic shells in the theory of elastic mixtures

✍ Scribed by D. Gordeziani; G. Avalishvili

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 212 KB
Volume: 28
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.595

No coin nor oath required. For personal study only.

✦ Synopsis

The present paper is devoted to the design of a hierarchy of two-dimensional models for dynamical problems within the theory of multicomponent linearly elastic mixtures in the case of prismatic shells with thickness which may vanish on some part of its boundary. The hierarchical model is obtained by a semidiscretization of the three-dimensional problem in the transverse direction. In suitable weighted Sobolev spaces we investigate the well-posedness of the two-dimensional problems, prove pointwise convergence of the sequence of approximate solutions restored from the solutions of the reduced problems to the exact solution of the original problem and estimate the rate of convergence. Copyright ?

📜 SIMILAR VOLUMES

COMPARATIVE DYNAMIC STUDIES FOR SYMMETRI

COMPARATIVE DYNAMIC STUDIES FOR SYMMETRIC CROSS-PLY CIRCULAR CYLINDRICAL SHELLS ON THE BASIS OF A UNIFIED SHEAR DEFORMABLE SHELL THEORY

✍ T. Timarci; K.P. Soldatos 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 489 KB

Free vibrations of cross-ply laminated shells subjected to different sets of edge boundary conditions are investigated on the basis of an advanced unified five-degree-of-freedom shear deformable shell theory. The theory unifies most of the shear deformable shell theories by means of a general shape

Chaotic Dynamics in a Percolation Model

Chaotic Dynamics in a Percolation Model for Evaporation of a Solid Body: A Description of Solid/Gas Reactions with Consumption Based on Thermodiffusive Nonlinearity at the Solid/Gas Interface

✍ Stefano A. Mezzasalma 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 126 KB

A nonlinear truncated model, concerning thermodiffusive chaos in gaseous media, has been employed to represent evaporation of a solid body on the basis of nonlinearity at the solid/gas interface. Solid/gas consumption has been described in the cell which is characterized by the wavenumber of the int

Proceedings of the national workshop on

Proceedings of the national workshop on dynamic crop simulation modelling for agrometeorological advisory services, S.V. Singh, L.S. Rathore, S.A. Saseendran and K.K. Singh (eds), National Centre for Medium Range Weather Forecasting, Department of Science and Technology, New Delhi, 1999. No of pages: 358. Applications of seasonal climate forecasting in agricultural and natural ecosystems: the Australian experience, G.L. Hammer, N. Nicholls and C. Mitchell (eds), Kluwer Academic Publishers, Dordrecht, 2000. No of pages: xiv + 469. Price NLG380, US$200, £125. ISBN 0-79236-270-5 (hardback).

✍ J.G. Lockwood 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 27 KB