### 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 language | English |
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Title of host publication | Applied Mathematical Sciences (Switzerland) |

Publisher | Springer |

Pages | 435-448 |

Number of pages | 14 |

DOIs | |

Publication status | Published - 2019 Jan 1 |

### Publication series

Name | Applied Mathematical Sciences (Switzerland) |
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Volume | 149 |

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