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Main Title: First yield in the Maugis‐adhesive contact of elastic spheres
Author(s): Leroy, Jean‐Emmanuel
Willert, Emanuel
Type: Article
Abstract: We analyze the onset of plastic yield in the Maugis‐adhesive contact of elastic spheres. Written in proper dimensionless variables, the problem solution depends on Poisson's ratio, the Tabor parameter and a non‐dimensional adhesion strength. The influences of adhesion range and strength are studied in detail. First yield can either occur inside the bodies on the axis of symmetry (for long range adhesion) or at the contact boundary (for short range adhesion). Adhesion significantly reduces the external load necessary to initiate plastic yield. A simple analytic solution for the critical load in the DMT‐limit of adhesion is being derived. Our results are quantitatively similar to previously published findings based on the double Hertz model of adhesion and can for example be applied to study an adhesive spherical microcontact in the contact of rough surfaces.
Subject(s): adhesion
first yield
Maugis theory
von Mises criterion
Issue Date: 25-Mar-2021
Date Available: 10-Sep-2021
Language Code: en
DDC Class: 530 Physik
Journal Title: ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Publisher: Wiley
Volume: 101
Issue: 9
Article Number: e201900313
Publisher DOI: 10.1002/zamm.201900313
EISSN: 1521-4001
ISSN: 0044-2267
TU Affiliation(s): Fak. 5 Verkehrs- und Maschinensysteme » Inst. Mechanik » FG Systemdynamik und Reibungsphysik
Appears in Collections:Technische Universität Berlin » Publications

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