Inlet Pressure and Shear Stress of Elliptical Elastohydrodynamic Contacts
摘要
The inlet pressure in elastohydrodynamic lubrication corresponds to the maximum pressure within the contact inlet, beyond which hydrodynamic effects no longer contribute to film build-up. This quantity is important for properly defining lubricant pressure–viscosity coefficients. The associated inlet shear stress, in turn, is a useful indicator of the validity of the Newtonian assumption. Only recently were inlet pressure and shear stress quantified by the authors for line and circular contacts through numerical simulations, revealing pressures in the range of 50–185 MPa and shear stresses up to 3 MPa, depending on operating conditions. The present work extends this quantification process to wide and slender elliptical contacts. Compared to circular contacts under similar conditions, slender contacts exhibit higher inlet pressures, reaching up to 350 MPa, and shear stresses up to 7 MPa, whereas wide contacts display lower values. The more contact ellipticity deviates from unity (i.e., circular contact), the more pronounced the deviations in both inlet pressure and the corresponding shear stress become, relative to circular contacts. Finally, analytical formulae are provided for evaluating inlet pressure and shear stress as functions of operating conditions, material properties, and contact ellipticity.