Numerical Simulation of Slip-Stick Elastic Contact

Numerical Study on the Influence of the Coating in the Fretting Contact

“…The relations for the tangential directions x must be considered in incremental form, as suggested by the finite difference symbol  in equation ( 1), accounting for the fact that, unlike the case of the purely normal load when the final state depends on the loading level alone, the tangential contact solution is path-dependent and require the reproduction of the loading history. This hysteretic behaviour, discussed in detail in [11], is also suggested by the presence of friction as a dissipative process.…”

“…Gallego, Nélias, and Deyber [7] provided a fully working numerical model for the fretting contact of homogeneous materials, whereas Wang et al [8] extended the model proposed in [5] to the case of a layered halfspace, and Wang et al [9] applied the latter model to the fretting contact. An alternative approach, capable of simulating the transient frictional contact with slip and stick over a prolonged period of service, was proposed by Spinu and Glovnea [10], and by Spinu and Amarandei [11], whereas Spinu and Frunza [12] studied the hysteretic effects in the fretting contact of dissimilarly elastic materials. Nyqvist et al [13] recently advanced a new three dimensional model for non-conformal contacts of multilayered rough surfaces subjected to normal and tangential surface loads, but only the gross sliding case was considered.…”

Numerical Simulation of Partial Slip Contact Using a Semi-Analytical Method

“…Following the works of Gallego et al [18] and Spinu and Amarandei [19], a contact solver using the Semi-Analytical Method was implemented to solve the quasi-static contact equilibrium, i.e. the normal and the tangential contact problems.…”

“…To overcome the limitations of both FEM and analytical solutions, an alternative tool called the Semi-Analytical Method (SAM) has recently been developed [16,17,18,19]. It consists of a numerical summation of elementary solutions in a contact solver scheme.…”

“…Using an incremental approach, Gallego et al [18] developed an algorithm to study different fretting modes and found that assumptions adopted in the analytical solutions lead to inaccurate results; they later demonstrated the benefits of using SAM within a multi-scale approach for fretting wear analysis [28]. Spinu and Amarandei [19] also used an incremental iterative algorithm for the fully coupled elastic contact with slip and stick behaviour.…”