Overview of book

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We offer, in this first chapter, an overview of this book. The book untangles the mechanism of perfect and imperfect bifurcations based on up-to-date mathematics placing more emphasis on engineering pragmatism than on mathematical rigor. First, fundamental issues of a static problem are advanced. Next, an overview of theoretical tools and concepts is presented. Last, the bifurcation of symmetric systems is overviewed using a series of illustrative examples and photographs of materials and structures, such as soil, sand, kaolin, steel, and honeycomb structure.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages1-32
Number of pages32
DOIs
Publication statusPublished - 2019 Jan 1

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume149
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Keywords

  • Bifurcation
  • Block-diagonalization
  • Echelon mode
  • Flower pattern
  • Group
  • Group-theoretic bifurcation theory
  • Honeycomb structure
  • Imperfection
  • Materials
  • Random imperfection
  • Recursive bifurcation
  • Sand
  • Soil
  • Structures
  • Symmetry
  • Worst imperfection

ASJC Scopus subject areas

  • Applied Mathematics

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