Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory - Second

Kiyohiro Ikeda, Kazuo Murota, "Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory - Second edition (Applied Mathematical Sciences)"
Publisher: BRILL | 2010 | ISBN 1441970754 | File type: PDF | 523 pages | 11 mb

This book pres a modern investigation into the bifurcation phenomena of physical and engineering problems. Systematic methodsbased on asymptotic, probabilistic, and group-theoretic standpointsare 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.
This second edition strengthens the theoretical backgrounds of group representation theory and its application
, uses of block-diagonalization in bifurcation analysis, and includes up-to-date topics of the bifurcation analysis of diverse materials from rectangular parallelepiped sand specimens to honeycomb cellular solids.

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