题 目:A higher-order beam model for indentation problems (适用于压痕过程的一种高阶梁模型)
报 告 人:茹重庆 教授 (University of Alberta)
时 间:2019年4月4日(周四)13:30
地 点:延长校区行健楼1109
摘 要:
It is known that the classical beam model fails for the indentation problem of an elastic beam by a rigid indenter. A refined higher-order beam model derived by the Kerr-type differential relation between normal pressure and the deflection of pressured surface is applied to develop a simple analytical model for 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 present method is demonstrated by some new easy-to-use explicit formulas and new 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 new higher-order beam model could be useful for some elastic beam problems for which the classical beam model fails.