An analysis of three-dimensional elasto-plastic sinusoidal contact |
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Authors: | Vijaykumar Krithivasan Robert L Jackson |
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Affiliation: | (1) Department of Mechanical Engineering, Auburn University, Auburn, AL 36849, USA |
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Abstract: | Researchers have developed many models to simulate the elasto-plastic contact of spheres. However, there does not appear to
exist a closed-form analytical model for elasto-plastic three-dimensional sinusoidal contact. This work uses a finite element
model (FEM) to characterize elasto-plastic sinusoidal contact. Although at initial contact the sphere and sinusoidal case
are very similar and can both be described by the classic elastic Hertz contact case, once the contact is pressed past a certain
range of deformation the two cases are very different. The model produces equations which can be used to approximately relate
the area of contact to the contact pressure for elasto-plastic sinusoidal contact. The equations are fit to the FEM results
and existing elastic solutions of sinusoidal contact. An empirical expression for the average pressure which causes complete
contact between elasto-plastic sinusoidal contacts is also provided. |
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Keywords: | contact mechanics asperity elastic– plastic contact |
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