Determination of contact pressure distribution on frictionless rough surfaces using an optimisation approach: a one-dimensional study
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Department of Mathematics, State University of Santa Catarina, Joinville, Brazil
Department of Mechanical Engineering, Federal University of Technology – Parana, Curitiba, Brazil
Department of Mechanical Engineering, Polytechnic School of the University of São Paulo, Brazil
Submission date: 2023-03-20
Final revision date: 2023-04-27
Acceptance date: 2023-04-27
Online publication date: 2023-06-29
Publication date: 2023-07-31
Corresponding author
Marco Antonio Luersen   

Department of Mechanical Engineering, Federal University of Technology – Parana, Curitiba, Brazil
Journal of Theoretical and Applied Mechanics 2023;61(3):573-583
Determining pressures and stresses that arise when mechanical components come into con- tact is crucial for analysis of surface-related failures. In real situations, determining contact pressure and stress distributions is challenging and depends on several factors, such as load, material properties and surface characteristics. This paper describes the determination of contact pressure on rough surfaces using a one-dimensional approach. Elastic, frictionless, unilateral, normal contact between a rough surface and a smooth surface is considered. Lin- ear elastic half-space theory is used, and the contact pressure distribution is obtained by solving an associated optimisation problem. Results are given for a virtual wavy profile and two engineering roughness profiles.
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