考虑弹塑性变形机制的结合面静摩擦因数模型

摘要

A three-dimensional fractal model of static frictional factor on joint interfaces was presented based on three-dimensional contact fractal theory with consideration of elastic,elastic-plastic and plastic deformation. The model reflected the influence of normal load,fractal dimension and fractal characteristics scaling parameters on stat-ic frictional factor of joint interfaces. The simulation results showed that the static frictional factor increased firstly, and then decreased with the increase of D,namely fractal dimension;increased with the increase of P*,namely di-mensionless normal total load;and decreased with the increase of G*,namely fractal characteristics scaling parame-ters. Considering elastic-plastic deformation mechanism of joint surface static friction factor is less than without con-sidering elastic-plastic deformation mechanism of joint surface static friction factor.%在三维接触分形理论的基础上，从理论上建立了一种考虑微凸体的完全弹性、弹-塑性和完全塑性三种变形机制的结合面静摩擦因数三维分形模型。该模型反映了结合面法向载荷、分形维数以及分形特征尺度参数对结合面静摩擦因数的影响。仿真结果表明，静摩擦因数f随着无量纲法向接触总载荷P*的增大而增大；分形维数D的增大，先增大后减小；无量纲分形特征尺度参数G*的增大而减小；考虑弹-塑性变形机制的结合面静摩擦因数小于不考虑弹-塑性变形机制的结合面静摩擦因数。