TEAR-OFF VERSUS GLOBAL EXISTENCE FOR A STRUCTURED MODEL OF ADHESION MEDIATED BY TRANSIENT ELASTIC LINKAGES

摘要

We consider a microscopic non-linear model for friction mediated by transient elastic linkages introduced in our previous works. In the present study, we prove existence and uniqueness of a solution to the coupled system under weaker hypotheses. The theory we present covers the case where the off-rate of linkages is unbounded but increasing at most linearly with respect to the mechanical load.