Bifurcation of steel specimens

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Various deformation patterns of cylindrical sands were shown to be engendered by recursive bifurcation in Chap. 14. In this chapter, deformation patterns of rectangular parallelepiped steel specimens are investigated by obtaining the rule of recursive bifurcation for that is the direct product of O(2) and two reflection group. Fundamentals of group representation theory in Chap. 7 and group-theoretic bifurcation theory in Chap. 8 are foundations of this chapter.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages435-448
Number of pages14
DOIs
Publication statusPublished - 2019 Jan 1

Publication series

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

Keywords

  • Bifurcation
  • Group-theoretic bifurcation theory
  • Recursive bifurcation
  • Shear band formation
  • Steel specimen
  • Symmetry

ASJC Scopus subject areas

  • Applied Mathematics

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  • Cite this

    Ikeda, K., & Murota, K. (2019). Bifurcation of steel specimens. In Applied Mathematical Sciences (Switzerland) (pp. 435-448). (Applied Mathematical Sciences (Switzerland); Vol. 149). Springer. https://doi.org/10.1007/978-3-030-21473-9_15