Contact Friction Models and Stability Problems
Contact Friction Models and Stability Problems
复制标题
接触摩擦模型和稳定性问题
DOI：
10.1007/978-3-7091-2534-2_5
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
Z. Mroz
中科院分区：
文献类型：
--
作者：
Z. Mroz
本课程讲稿致力于接触相互作用的两个重要方面，即滑动和摩擦规则和稳定性条件的本构模型。在考虑法向和切向接触力以及共轭弹性和滑移位移时，只考虑了弹性摩擦响应，从而忽略了塑性微凸体的相互作用以及与之相关的微凸体压扁或压碎现象。然而，各向异性的接触粗糙度占和各自的摩擦滑动和磨损的规则被认为是。其次，对于非均匀接触相互作用，讨论了两个简单的情况下，一个弹性带相互作用的摩擦基础和两个相互作用的球法向和切向载荷下的滑移区的演变。滑动和记忆规则需要引入连续的主动加载和记忆表面，以便正确地描述摩擦滞后现象。这种描述与塑性理论中用于模拟材料弹塑性循环响应的描述非常相似，接触稳定性条件用势能和耗散函数表示。这些条件的应用，简单的弹性结构与摩擦表面的相互作用。本文最后对不同接触摩擦模型的稳定性进行了分析。
The present lecture notes are devoted to two important aspects of contact interaction, namely the constitutive modelling of slip and friction rules and stability conditions. In considering normal and tangential contact tractions and the conjugate elastic and slip displacements, only elasticfrictional response is considered, thus neglecting plastic asperity interaction and the related phenomena of asperity flattening or crushing. However, the anisotropy of contact asperities was accounted for and the respective frictional slip and wear rules are considered. Next, for a nonuniform contact interaction, the evolution of slip zones is discussed for two simple cases of an elastic strip interacting with the frictional foundation and two interacting spheres under normal and tangential loading. The slip and memory rules require introduction of consecutive active loading and memory surfaces in order to describe properly the friction hysteresis phenomena. The description is very similar to that used in the plasticity theory for modelling elasto-plastic cyclic response of materials.The contact stability conditions are expressed in terms of potential energy and dissipation functions. The application of these conditions is presented for simple elastic structures interacting with frictional surfaces. The analysis of stability of different models of contact friction is presented in the last part of these notes.