Lyashenko I A, Popov V L
1] Sumy State University, 40007 Sumy, Ukraine [2] Berlin University of Technology, 10623 Berlin, Germany.
1] Berlin University of Technology, 10623 Berlin, Germany [2] National Research Tomsk Polytechnic University, 634050 Tomsk, Russia.
Sci Rep. 2015 Feb 16;5:8479. doi: 10.1038/srep08479.
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.
采用降维方法对无滑移条件下（无限大摩擦系数）弹性球体与弹性半空间的碰撞进行了数值研究。结果表明，以适当的无量纲变量表示的反弹速度和角速度仅由切向刚度与法向刚度之比（“明德林比”）的函数决定。所得数值结果可用一个简单的解析表达式近似。
