Complex Variable Methods in Elasticity

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Applied, Technology, Engineering, Civil
Cover of the book Complex Variable Methods in Elasticity by A. H. England, Dover Publications
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Author: A. H. England ISBN: 9780486153414
Publisher: Dover Publications Publication: May 10, 2012
Imprint: Dover Publications Language: English
Author: A. H. England
ISBN: 9780486153414
Publisher: Dover Publications
Publication: May 10, 2012
Imprint: Dover Publications
Language: English

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.

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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.

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