Abstract
This paper aims to propose a tangential contact model of a lap joint interface with non-Gaussian surfaces. Relying on the full-stick contact condition, the elastic–plastic deformation of a single asperity and the penetration-dependent friction coefficient are considered in this model. The Johnson system is utilized to generate non-Gaussian asperity height distributions. Furthermore, the physical asperity model and the phenomenological Iwan model are combined to obtain a continuous and convergent Iwan solution by the dimensional analysis method. The initial tangential stiffness, the tangential force required for gross slip, and the slip index of lap joints reveal the hysteresis loop shape, describing the tangential response completely and uniquely, and the first two parameters are proved to own statistical characteristics. Next, the effects of topography parameters on the initial tangential stiffness, the tangential force/displacement required for gross slip, and the slip index are analyzed. Comparisons among the proposed model, the published models, and the published experimental results have also been made. The proposed model is shown to be consistent with the experimental results when the tangential load is insufficient to cause gross slip, while an error is produced when gross slip happens. Additionally, the error could be reduced in the calibrated model.
Highlights
The lap-type joint, with complex mechanisms and strong nonlinear characteristics, is a typical assembly type and influenced by many factors
The proposed model is used to simulate the tangential response of the lap joint interface with non-Gaussian surfaces
Following Ref. 16, the lap joint interface is composed of steel on steel surfaces, and the material and geometric parameters are as follows: Young’s modulus E1 = E2 = 200 GPa, Poisson’s ratio ν1 = ν2 = 0.24, hardness H1 = H2 = 5.825 GPa, shear modulus G1 = G2 = 80.7 GPa, and nominal contact area An = 156 mm2
Summary
The lap-type joint, with complex mechanisms and strong nonlinear characteristics, is a typical assembly type and influenced by many factors. Lap joints contribute to most of the total stiffness and damping of mechanical structures, and many scholars have been exploring their dynamic tangential response.. All quasi-static loaded lap joints undergo fretting damage, which is currently considered to be one of the major causes of industrial material failure, if a source of vibration is present.. According to the experimental observation and theoretical analysis, Vingsbo and Söderberg and Fouvry et al. have classified fretting regimes of two surfaces into four contact states: Stick, partial slip, gross slip, and reciprocating sliding. A fretting map is a diagram directly representing the relevant regimes under the combined normal and tangential loading.. Depending on loading conditions, fretting damage can be caused by surface fatigue, including crack nucleation and crack propagation, and wear induced by third body transformation.
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