基于分形理论的接触体互馈机理及力学模型研究

Research on the crossfeed mechanism and mechanical model of the contact bodies based on fractal geometry

外界荷载的作用驱使接触体之间相互作用。接触面在荷载作用下动态变化的过程即为互馈作用,相应的接触面即为互馈面。互馈是工程界的重要任务,也是一项具有重要理论和实用意义的重大课题。本文针对经典接触力学假设接触表面为几何光滑面的不足,利用分形几何知识研究了接触体相互作用的互馈机理和相应的力学模型,并用前人所做的节理试件的光弹试验结果进行了计算,结果表明法向荷载的增大导致互馈面的分形维数逐渐减小,且小于初始分形维数。因此,利用互馈面的分形维数建立的接触体互馈模型,可揭示接触体互馈的演变规律。

Interactions occurred between the contact bodies under the outside loads.The crossfeed is the dynamic changing process of the contact surface under the outside loads and the correspond contact surface is named the crossfeed surface.Crossfeed is the important task in civil engineering which is the great subject with important theory and practice.Aiming at the shortcoming of the typical contact mechanics in which the contact surface is considered smooth,with the help of fractal geometry,the crossfeed mechanis...