Mathematical Modelling of Solids with Nonregular Boundaries / Edition 1

by A.B. Movchan, N.V. Movchan

Overview

Mathematical Modelling of Solids with Nonregular Boundaries demonstrates the use of asymptotic methods and other analytical techniques for investigating problems in solid mechanics. Applications to solids with nonregular boundaries are described in detail, providing precise and rigorous treatment of current methods and techniques. The book addresses problems in fracture mechanics of inhomogeneous media and illustrates applications in strength analysis and in geophysics. The rigorous approach allows the reader to explicitly analyze the stress-strain state in continuous media with cavities or inclusions, in composite materials with small defects, and in elastic solids with sharp inclusions. Effective asymptotic procedures for eigenvalue problems in domains with small defects are clearly outlined, and methods for analyzing singularly perturbed boundary value problems are examined.
Introductory material is provided in the first chapter of Mathematical Modelling of Solids with Nonregular Boundaries, which presents a survey of relevant and necessary information, including equations of linear elasticity and formulations of the boundary value problems. Background information - in the form of definitions and general solutions - is also provided on elasticity problems in various bounded and unbounded domains. This book is an excellent resource for students, applied scientists, and engineers.

Product Details

ISBN-13:	9780849383380
Publisher:	Taylor & Francis
Publication date:	07/25/1995
Series:	Mathematical Modeling , #3
Pages:	340
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Movchan, A.B.; Movchan, N.V.

Table of Contents

1. Introduction 2. Modelling of Cracks and Thin Inclusions in Elastic Media 3. Domains with Conical and Cylindrical Boundaries 4. Stress-Strain State in the Vicinity of Sharp Inclusions 5. Integral Characteristics in Elasticity Problems for Nonhomogeneous Bodies

Editorial Reviews

An advanced textbook for graduates, scientists, and engineers, explaining the asymptotic methods of analyzing linear elasticity problems for solids with cracks and inclusions. Such problems occur in fracture mechanics, the analysis of strength in elastic structures, and geophysics. The rigorous approach allows a study of the displacement field and the stress-strain state in a continuum with thin inclusions or cavities, in composite materials with small defects, and in elastic solids with sharp inclusions. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

"Of interest to advanced graduate students and scientists who work in the area of fracture mechanics."
- Applied Mechanics Reviews, Volume 49, Number 3, March 1996

From the Publisher