Hello guys, i`m currently making simulation of 2 dimension rolling disk on elastic sin/cosine plane. I`m just wondering if the theory applicable.
Hertzian contact theory is a scientific theory that describes the contact and deformation between two elastic bodies under the influence of applied forces. It was developed by Heinrich Hertz in the late 19th century.
Hertzian contact theory takes into account the shape of the contacting bodies, which is often represented as a sin or cosine curve on the contact plane. This allows for a more accurate description of the contact and deformation between the bodies.
The main assumptions of Hertzian contact theory include: the bodies are elastic and homogeneous, the contact surfaces are smooth and non-adhesive, and the deformation is small and within the elastic limit of the materials.
Hertzian contact theory has various applications in engineering and materials science, such as predicting the contact stresses and deformations in mechanical components, understanding the wear and fatigue of materials, and designing better contact interfaces.
Some of the limitations of Hertzian contact theory include: it does not consider the effects of friction, adhesion, and plastic deformation, it is only applicable to elastic materials, and it does not account for the non-uniformity of contact pressure distribution.