H. Zhu et al., NORMAL AND TANGENTIAL COMPLIANCE FOR CONFORMING BINDER CONTACT .2. VISCOELASTIC BINDER, International journal of solids and structures, 33(29), 1996, pp. 4351-4363
This article extends the previously derived elastic solutions to visco
-elastic solutions of normal and tangential compliances for a system c
omprised of two elastic particles bonded by a thin layer of visco-elas
tic binder. Rate dependent compliances are derived for both Maxwell an
d 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 monoton
ical property of the kernel function to obtain the upper and lower bou
nds for the rate-dependent compliance relationship. Guided from the up
per and lower bound solutions, we derive the best estimated solution b
ased on physically consistent approximations. Copyright (C) 1996 Elsev
ier Science Ltd.