Exact Solution for A Generalized JKR Adhesive Contact Model
Recently, Dr. S. Chen and Prof. H. Gao found an elegant close-form solution for a generalized JKR adhesive conatct model, in which both the normal and the tangential tractions in the contact zone are considered,
Non-slipping adhesive contact of an elastic cylinder on stretched substrates,
By S. Chen and H. Gao, Proceedings of Royal Society of London, 462, 221-228.
The Johnson-Kendall-Roberts (JKR) model is the main adhesive contact model used in applications. A major limitation of the model is its inability to take into account the tangential traction in the contact zone. The newly found solution may help us understand biological adhesion mechanisms such as the hierarchical structures on the foot of Gecko.
(Note: the classical Hertz theory is not exactly an adhesive contact theory, though one can study viscoelastic Hertzian contact.)