An analytical solution for the unloading in spherical indentation of elastic–plastic solids
An analytical solution for the unloading in spherical indentation of elastic–plastic solids
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DOI：
10.1016/j.ijengsci.2008.10.002
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发表时间：
2009-03
影响因子：
6.6
通讯作者：
Longbin Li;Jian-zu Gu
中科院分区：
文献类型：
--
作者：
Longbin Li;Jian-zu Gu
本文提出了一种接触建模，重点关注刚性球体与弹塑性半空间接触期间的卸载和随后的重新加载。通过使用Anr2n形式的弹性接触体的Steuermann解的叠加，导出了卸载或随后重新加载的接触力、接触位移和接触压力分布的解析解，所有这些都以接触半径表示。为了证明当前的解析解，将接触力和接触半径之间的曲线、接触中心处的接触压力和接触半径、接触力和接触位移以及接触压力分布与使用非线性有限元分析方法获得的曲线进行了比较。
This paper presents a contact modelling with emphases on the unloading and subsequent reloading during the contact between a rigid sphere and an elastic–perfectly plastic half-space. By using the superposition of Steuermann solutions of elastic contact bodies of profiles having the form Anr2n, analytical solutions of unloading or subsequent reloading for the contact force, contact displacement and contact pressure distribution are derived, all of which are expressed in terms of the contact radius. To demonstrate the present analytical solutions, curves between contact force and contact radius, contact pressure at the contact centre and contact radius, contact force and contact displacement, and contact pressure distribution are compared with those obtained using the nonlinear finite element analysis method.