SIPS2022 Volume 16 Intl. Symp on Mathematics, Modelling and Geomechanics

Editors: | F. Kongoli, E. Aifantis, T. Vougiouklis, A. Bountis, P. Mandell, R. Santilli, A. Konstantinidis, G. Efremidis. |

Publisher: | Flogen Star OUTREACH |

Publication Year: | 2022 |

Pages: | 235 pages |

ISBN: | 978-1-989820-64-3(CD) |

ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |

It is known that the classical elastic beam model fails in the indentation analysis of an elastic beam by a rigid indenter. A simple higher-order beam model developed based on the Kerr-type differential relation between the indentation pressure and the deflection of pressured surface of the beam is applied to study the indentation of an elastic beam by a rigid circular cylinder. The proposed method is validated by comparing its predicted results with known data, and the merit of the proposed model is demonstrated by some new easy-to-use explicit formulas and numerical results. In particular, the present model confirms that the contact zone becomes two separate strips when its width increases and exceeds a certain critical value. It is expected that this simple higher-order beam model could be found useful in the mechanical indentation analysis of some elastic beam problems for which the classical beam model fails.