Edge Pressures Obtained Using FEM and Half-Space: A Study of Truncated Contact Ellipses

Jüttner M, Bartz M, Tremmel S, Correns M, Wartzack S (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Lubricants MDPI

Book Volume: 10

Pages Range: 107

Issue: 6

DOI: 10.3390/lubricants10060107

Abstract

In rolling or gear contacts, truncation of the contact ellipse can occur, for example, when an undercut extends into the contact area. For an elastic calculation approach, the edge constitutes a mathematical singularity, which is revealed by a theoretically infinitely high pressure peak. However, when elastic–plastic material behavior is taken into account, the pressure peak is limited by local hardening and yielding of the material, leading to plastic deformations. As a result, those calculations are rather challenging and the results partly unexpected due to the discontinuity contained in the geometry. Nevertheless, to the authors’ knowledge, hardly any published studies exist on elastic–plastic simulations of truncated contact ellipses. Therefore, a numerical study concerning the contact of a rigid ball with an elastic–plastic plane is presented. Due to an undercut in the plane, a quarter of the theoretical Hertzian contact ellipse is cut off. The aim of the study is to investigate the influence of the undercut angle on the pressure distribution and the elastic and plastic deformation at the edge. The use of FEM shows that the undercut angle has a significant effect on the characteristics of the contact. The results obtained using FEM are then used as a reference for comparison with a semi-analytical method (SAM). It is shown that the SAM, based on the half-space, provides comparable results only for very small undercut angles.

Authors with CRIS profile

Michael Jüttner Chair of Engineering Design Marcel Bartz Chair of Engineering Design Sandro Wartzack Chair of Engineering Design

Involved external institutions

Schaeffler Technologies AG & Co. KG DE Germany (DE) Universität Bayreuth DE Germany (DE)

How to cite

APA:

Jüttner, M., Bartz, M., Tremmel, S., Correns, M., & Wartzack, S. (2022). Edge Pressures Obtained Using FEM and Half-Space: A Study of Truncated Contact Ellipses. Lubricants, 10, 107. https://dx.doi.org/10.3390/lubricants10060107

MLA:

Jüttner, Michael, et al. "Edge Pressures Obtained Using FEM and Half-Space: A Study of Truncated Contact Ellipses." Lubricants 10 (2022): 107.

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