Normal and tangential compliance for conforming binder contact II: Visco-elastic binder

This article extends the previously derived elastic solutions to visco-elastic solutions of normal and tangential compliances for a system comprised of two elastic particles bonded by a thin layer of visco-elastic binder. Rate dependent compliances are derived for both Maxwell and Voigt visco-elastic binders. Similar to the elastic particle-binder system, the time-dependent governing equation of this problem is also a Fredholm integral equation of the second kind. We employ the monotonical property of the kernel function to obtain the upper and lower bounds for the ratedependent compliance relationship. Guided from the upper and lower bound solutions, we derive the best estimated solution based on physically consistent approximations. Copyright 0 1996 Elsevier Science Ltd