Impact of an elastic sphere with an elastic half space revisited: Numerical analysis based on the method of dimensionality reduction

被引：13
|
作者：
Lyashenko, I. A. [1 ,2 ]
Popov, V. L. [2 ,3 ]
机构：
[1] Sumy State Univ, UA-40007 Sumy, Ukraine
[2] Berlin Univ Technol, D-10623 Berlin, Germany
[3] Natl Res Tomsk Polytech Univ, Tomsk 634050, Russia
来源：
SCIENTIFIC REPORTS | 2015年 / 5卷
关键词：
CONTACT; MECHANICS; FRICTION; MICRO; SLIP;
D O I：
10.1038/srep08479
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
An impact of an elastic sphere with an elastic half space under no-slip conditions (infinitely large coefficient of friction) is studied numerically using the method of dimensionality reduction. It is shown that the rebound velocity and angular velocity, written as proper dimensionless variables, are determined by a function of only the ratio of tangential and normal stiffness ("Mindlin-ratio"). The obtained numerical results can be approximated by a simple analytical expression.
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页数：5
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