Imperfect bifurcation in structures and materials : engineering use of group-theoretic bifurcation theory / Kiyohiro Ikeda, Kazuo Murota.

Format:

Book

Author/Creator:

Ikeda, Kiyohiro.

Contributor:

Murota, Kazuo, 1955-

Series:

Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 149.

Applied mathematical sciences (Springer-Verlag New York Inc.)

Language:

English

Subjects (All):

Engineering mathematics.

Bifurcation theory.

Structural analysis (Engineering)--Mathematical models.

Structural analysis (Engineering).

Physical Description:

xvii, 411 pages : illustrations ; 25 cm.

Place of Publication:

New York : Springer, [2002]

Summary:

This book provides a modern investigation into the bifurcation phenomena of physical and engineering problems. Systematic methods--based on asymptotic, probabilistic, and group-theoretic standpoints--are used to examine experimental and computational data from numerous examples (e.g., soil, sand, kaolin, concrete, domes, etc.). Engineers may find this book, with its minimized mathematical formalism, to be a useful introduction to modern bifurcation theory. For mathematicians, static bifurcation theory for finite dimensional systems, as well as its implications for practical problems, is illuminated by the numerous examples.

Notes:

Includes bibliographical references (pages [392]-404) and index.

ISBN:

0387954090

OCLC:

48795825