A geometric interpretation of frictional contact mechanics
A geometric interpretation of frictional contact mechanics
复制标题
摩擦接触力学的几何解释
DOI：
10.1007/s00033-005-0052-3
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
P. Papadopoulos
中科院分区：
文献类型：
--
作者：
R. Jones;P. Papadopoulos
摘要：为了描述摩擦界面的刚塑性模型，推导了具有所谓的“间隙”和“粘”约束的压力和切向力的功共轭。这是通过追求一个微分几何视图的两个表面，包括摩擦界面。鉴于目前的配置中所描述的接触，李衍生物被证明是自然的手段，建立牵引和约束之间的工作共轭。
Abstract.The work-conjugacy of pressures and tangential tractions with so-called “gap”and “stick” constraints is deduced in order to delineate a rigid-plastic model of a frictional interface. This is accomplished by pursuing a differential-geometric view of the two surfaces that comprise the frictional interface. Given that contact is described in the current configuration, Lie derivatives are shown to be the natural means of establishing the work-conjugacy between tractions and constraints.