4 Elastic Constant Used in Continuum-Based Adhesion Models

In many adhesion analyses, the elastic constant of materials is an arbitrarily chosen number, which limits the applicability and accuracy of continuum-based adhesion models. In this paper, the elastic constant of face-centered cubic crystals is derived directly from the interatomic Lennard-Jones potential. The effect of using appropriate elastic constant in the adhesion models is demonstrated in single sphere-flat contact via MYD model and MD theory. Moreover, the deformation characteristics of elastic plane and the adhesion hysteresis behavior are studied. The results indicate that the adhesion hysteresis loop is generated by the jump-to-contact and jump-off-contact, which are illustrated by the S-shaped force-distance curve.