Numerical Analysis of Partial Slip Contact under a Tangential Force and a Twisting Moment

Abstract

A three-dimensional elastic contact problem has been investigated in this article with the emphasis on analysis of the partial slip phenomenon which occurs at certain areas in nominal contact zone when the local shear tractions exceed the limit specified by the friction. The investigation has been made for the contacts between similar or dissimilar materials and under general conditions in which the applied loads consist of a normal load, a tangential force, and a torque normal to the contact plane. The partial slip contact problem is solved through a numerical procedure based on a semi-analytical method. The conjugate gradient method and the fast Fourier transform technique are employed to speed up the computation. The contact pressures, surface shear tractions, stick ratios, tangential body displacements, and rotational angles are analysed under different loads and for similar or dissimilar contact materials. The coupling effects among the normal load, the tangential force, and the twisting moment are studied. Results show that for the contact of dissimilar materials and under a pure torque, the surface shear tractions q x and q y will produce normal deformations until the gross slip occurs. The combined actions of tangential force and twisting moment are prone to cause gross slip in comparison with those under tangential force or twisting moment alone. Moreover, the increasing twisting moment will cause the shrinking of the stick zone, but it evolves in different ways for the contacts of similar or dissimilar materials.

The Hysteretic Behaviour of Partial Slip Elastic Contacts Undergoing a Fretting Loop

“…Digitization of geometrical condition of deformation yields the interference equation (2), in which the gap between deformed surfaces h is expressed in terms of initial gap (or contact geometry) hi , of surface normal displacement 3 u , and of rigid-body translation 3 . The contact or non-contact status of every cell in the P A is assessed by the complementarity contact conditions in equations (3) and (4). An analogous model can be established for the slip-stick elastic contact in the tangential direction, provided a torsional moment is not present: [12] proved independently that, even when the contacting bodies are globally sticking, a peripheral region of slip is required to relinquish the infinite shear tractions at the boundary of the contact area, or else the no-slip contact scenario is not compatible with either Linear Theory of Elasticity or Coulomb's law of friction.…”

“…However, the loading history, related to the irreversibility of friction, was not accounted for. Further extensions addressed the problems of a supplementary torsional moment [4], i.e. fretting mode III, as well as the heterogeneity of elastic layered half-spaces [5].…”

Numerical analysis of the influence of distributed inhomogeneities on tangential fretting

“…By using the SAMs, a wide range of frictional contact problems were well solved with satisfactory numerical efficiency, for example, coated material, 34,36 rough surface, 37,38 elasto-plastic material, 39,40 material with inhomogeneities, 19,41 and torsional contact. 42,43 The present study focuses on the influence of distributed inhomogeneities on the tangential fretting performance. The SAM proposed in our recent work for solving partial slip contact under a tangential force and a twisting moment is utilized.…”

“…The SAM proposed in our recent work for solving partial slip contact under a tangential force and a twisting moment is utilized. 43 The EIM-based solution method, capable of modeling the influence of multiple inhomogeneities beneath matrix surface on contact performance, is incorporated. 10 The developed numerical solution method based on the SAMs and EIM is able to solve the elastic field of heterogeneous tangential fretting contact.…”

Numerical Simulation of Slip-Stick Elastic Contact

“…Wang, Meng, Xiao, and Wang (Wang et al, 2011) investigated numerically the supplementary effect of a torsional moment, while Wang et al (Wang et al, 2010) applied the algorithm advanced in (Chen & Wang, 2008) to contact of elastic layered half-spaces. However, the loading history was not accounted for in these studies, i.e.…”