Partial slip between contacting cylinders under transverse and axial shear

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Abstract

The interfacial stick-slip system present between two infinitely long cylinders, pressed together by a normal force, is considered. The shearing traction distribution is represented in a piecewise-linear sense, using overlapping triangles of shear, which may have both transverse and axial components. Several external force histories are modelled, starting off with a monotonically increasing transverse force (the Cattaneo–Mindlin problem). Subsequently, an axial force is applied, again within the partial slip regime, and finally a complete closed cycle of transverse and axial forces is studied. The stick-slip regime and distribution of shearing traction is displayed at several points within the cycle, and it is shown that a steady state is almost achieved within one cycle of loading.

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Cited by (14)

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    The stress distributions in the contact between parallel-axis cylinders were first studied by Cattaneo [30] and Mindlin [28], and their solution was later summarized in Johnson [12]. The results were later extended by Kim et al. [31] with the consideration of the effects of sequentially applied shearing forces in perpendicular directions. A common limitation of these works is that the effects of friction in the contact zone and the influence of shear stress on the normal stress in contact were neglected.

  • Numerical analysis of quasistatic frictional contact of an elastic block under combined normal and tangential cyclic loading

    2012, International Journal of Mechanical Sciences
    Citation Excerpt :

    Several works were followed by Deresiewicz [13], who showed that the entire contact area would remain in a state of stick as long as the normal load is increasing and then, Ciavarella [14] and Jäger [15] extended the solution method of Catteneo to describe any frictional elastic contact problem. However, as the present authors are aware, no previous studies have remarked on the effect of the combined normal and tangential cyclic loading on frictional energy dissipation in elastic contact bodies, even though there have been numerous studies involving various contact geometries and loading conditions [16–20]. In this study, an elastic rectangular block on a rigid planar surface under combined normal and tangential cyclic loading with mean normal loading is investigated using ABAQUS.

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Permanent address: Korea Atomic Energy Research Institute, 305-353 Yusung, Taejon; South Korea.

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