Complex Variable Methods in Elasticity

by A. H. England

Overview

The plane strain and generalized plane stress boundary value problems of linear elasticity are the focus of this graduate-level text, which formulates and solves these problems by employing complex variable theory. The text presents detailed descriptions of the three basic methods that rely on series representation, Cauchy integral representation, and the solution via continuation. Its five-part treatment covers functions of a complex variable, the basic equations of two-dimensional elasticity, plane and half-plane problems, regions with circular boundaries, and regions with curvilinear boundaries. Worked examples and sets of problems appear throughout the text. 1971 edition. 26 figures.

Product Details

ISBN-13:	9780486153414
Publisher:	Dover Publications
Publication date:	04/12/2012
Series:	Dover Books on Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	208
File size:	17 MB
Note:	This product may take a few minutes to download.

Table of Contents

1. Functions of a Complex Variable
2. The Basic Equations of Two-dimensional Elasticity
3. Plane and Half-plane Problems
4. Regions with Circular Boundaries
5. Regions with Curvilinear Boundaries
Bibliography.
Index.
New appendix with answers to exercises.