Asymptotical Mechanics of Thin-Walled Structures

by Igor V. Andrianov, Jan Awrejcewicz, Leonid I. Manevitch

Overview

In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and their applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.

Product Details

ISBN-13:	9783642074158
Publisher:	Springer Berlin Heidelberg
Publication date:	10/21/2010
Series:	Foundations of Engineering Mechanics , #272
Edition description:	Softcover reprint of hardcover 1st ed. 2004
Pages:	515
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

1 Asymptotic Approximations.- 2 Regular Perturbations of Parameters.- 3 Singular Perturbation Problems.- 4 Boundary Value Problems of Isotropic Cylindrical Shells.- 5 Boundary Value Problems — Orthotropic Shells.- 6 Composite Boundary Value Problems — Isotropic Shells.- 7 Composite Boundary Value Problems — Orthotropic Shells.- 8 Averaging.- 9 Continualization.- 10 Homogenization.- 11 Intermediate Asymptotics — Dynamical Edge Effect Method.- 12 Localization.- 13 Improvement of Perturbation Series.- 14 Matching of Limiting Asymptotic Expansions.- 15 Complex Variables in Nonlinear Dynamics.- 16 Other Asymptotical Approaches.- Afterword.- References.