A boundary element formulation for wear modeling on 3D contact and rolling-contact problems

Abstract

a b s t r a c tThe present work shows a new numerical treatment for wear simulation on 3D contact and rolling-contact problems. This formulation is based on the boundary element method (BEM) for computing the elastic influence coefficients and on projection functions over the augmented Lagrangian for contact restrictions fulfillment. The constitutive equations of the potential contact zone are Signorini's contact conditions, Coulomb's law of friction and Holm-Archard's law of wear. The proposed methodology is applied to predict wear on different contact and rolling-contact problems. Results are validated with numerical solutions and semi-analytical models presented in the literature. The BEM considers only the degrees of freedom involved on these kind of problems (those on the solids surfaces), reducing the number of unknowns and obtaining a very good approximation on contact tractions using a low number of elements. Together with the formulation, an acceleration strategy is presented allowing to reduce the times of resolution.

Three‐dimensional numerical solution for wear prediction using a mortar contact algorithm

“…Figure 6 displays the final cross sections of the pin corresponding to sliding distances of 20 and 40 mm. These solutions are in agreement with those presented in the work of Rodriguez-Tembleque et al [15].…”

“…As in the cited works, the disc is here assumed to be very hard, and the wear in this part is neglected, contrary to the pin part where the wear is considered with a wear coefficient of 1.33 × 10 − 13 Pa − 1 . Friction is neglected in agreement with the work of Rodriguez‐Tembleque et al . The pin is situated far from the disc axis, and therefore, all the points in the pin surface are assumed to have the same tangential slip velocity.…”

“…Numerical methods for wear simulations are being widely developed because they can be used to solve complicated problems with general geometries in two‐dimensional or three‐dimensional configurations. Several papers have been published using the FEM as well as the boundary element method to model wear. In most of these studies, the formulations have been developed starting from Archard's law and by post‐processing data computed in a FEM package, which solves the problem of contact between bodies (e.g., Podra and Anderson ).…”

Determination of wear in internal combustion engine valves using the finite element method and experimental tests

“…In the context of numerical methods, a few general applications of wear have been published using the Finite Element Method (FEM) [8,9,10,11,12,13,14,15,16] as well as the Boundary Element Method (BEM) [17,18,19,20]. In most of these studies, the formulations have been based on the Archard wear law, and the solutions were computed as the post-processing of a finite element code that solves the contact problem between the bodies, e.g., [21].…”

A study on the wear of silicon nitride in rolling–sliding contact

“…Of the recent works based on the Holm-Archard wear law, the study carried out by Hegadekatte et al [14] in modeling wear in a pinon-disk configuration is worth mentioning; so as the comparative study by Hegadekatte et al [15], in which several modeling techniques were compared to simulate the wear generated in different contact configurations-including twin-disk rolling contact. In a related work, Rodríguez-Tembleque et al [16] presented a different numerical treatment of wear in rolling contact by relying on a boundary element method (BEM) based formulation.…”