On the contact of an absolutely rigid stamp with a half-plane taking into account static friction

The plane deformable state of an elastic half-plane into which an absolutely rigid stamp is pressed with friction is considered. It is assumed that the tangential stresses acting in the contact zone are related to normal pressure by the law of dry friction, the coefficient of which is a linear funct...

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Bibliographic Details
Published in:Journal of physics. Conference series 2024-08, Vol.2817 (1), p.12005
Main Authors: Hakobyan, V N, Amirjanyan, H A, Grigoryan, A H
Format: Article
Language:English
Subjects:
Contact pressure
Contact stresses
Dry friction
Elastic deformation
Formability
Half planes
Linear functions
Numerical analysis
Singular integral equations
Static friction
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Summary:The plane deformable state of an elastic half-plane into which an absolutely rigid stamp is pressed with friction is considered. It is assumed that the tangential stresses acting in the contact zone are related to normal pressure by the law of dry friction, the coefficient of which is a linear function of the coordinate of the contacting points of the contacting bodies. A determining singular integral equation for the stated problem is obtained, the solution of which is constructed in closed form. Numerical analysis is conducted, and regularities in the variation of contact stresses are determined depending on the ratios of horizontal and normal loads applied to the stamp.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2817/1/012005