Elliptical adhesive contact under biaxial stretching
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2233 (476): 20190507 (2020-01-29)
Adhesive contact of the Hertzian indenter with an incompressible elastic substrate bi-directionally stretched along the indenter principal planes of curvature is considered in the Johnson–Kendall–Roberts theoretical framework. An approximate model is constructed by examining energy release rate conditions only on the edges of the minor and major axes of the contact ellipse. The effect of weak coupling between fracture modes I and II is introduced using a phenomenological mode-mixity function. This study was motivated by the need to model a passive–adhesive mechanism in cell mechanics on stretchable substrates.
Fracture mode mixity