Abstract
Considering rough surface profiles in a contact model is of decisive importance. In the up-to-date rough contact models there remained underexplored the opportunity of complete flattening of smaller asperities and therefore the need of using the multilevel roughness models, including fractal ones. If higher level asperities are not flattened completely when pressed, then they will be able to impact on the contact process. This paper considers model problems of elastic-plastic contact with hardening for a body with protrusions and two pyramids as the objects similar to asperities. Modeling results show that asperities are completely flattened only on condition of confined compression. For real contacting rough surfaces under low pressures, complete flattening of asperities will not occur. It is shown that roughness elements on the surface of the asperities do not disappear even at severe deformation of the latter. The reason is a combination of the asperity form and hardening of material, while the consequence is a reduction of the real contact area.
Highlights
The problems relating to static and dynamic contact of solid bodies play an important role in such fields as tribology, heat transfer, electrodynamics, welding, and in automobile, space, nuclear and precision instruments industries
Real contact area of rough surfaces makes only a small share from the nominal area outlined by geometrical dimensions of the adjoining bodies
This study aims at clarifying issues that arise not in statistical contact models, but in finite-element spatial modeling of contact, when the individual geometry of each asperity is specified
Summary
The problems relating to static and dynamic contact of solid bodies play an important role in such fields as tribology, heat transfer, electrodynamics, welding, and in automobile, space, nuclear and precision instruments industries. The aim of these and similar works was to obtain simple relations for inclusion in multi-spot statistical contact models [36,37], including those that take into account the interaction of asperities [38,39,40,41,42] and hardening [28] In these works there is no answer to the question of whether a complete flattening of the asperities is possible. The flow theory of plasticity and additive approach to forming of strain increments are applied
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