TY - JOUR
T1 - Limit cycles in dynamic adhesion and friction processes
T2 - A discussion
AU - Zeng, Hongbo
AU - Tirrell, Matthew
AU - Israelachvili, Jacob
PY - 2006/9
Y1 - 2006/9
N2 - Simple equations exist relating adhesion and friction forces. These apply to simple attachment-detachment processes and steady-state (smooth) sliding conditions. However, in the case of more complex, such as polymer, surfaces both the adhesion and friction can be very complex, irreversible, and nonlinear, exhibiting stringing and tack in the former and stick-slip sliding in the latter. We explore possible relationships between such nonlinear adhesion and friction processes. Based on recent experiments we find that certain types of "limit cycles," relating the (normal) adhesion and (lateral) friction forces, F⊥ and F∥, to the relative velocities, V⊥ and V∥, of the surfaces during an attachment-detachment process or stick-slip sliding, bear a very similar resemblance to each other. We briefly discuss the theoretical and practical implications of describing such dynamic processes in terms of limit cycles.
AB - Simple equations exist relating adhesion and friction forces. These apply to simple attachment-detachment processes and steady-state (smooth) sliding conditions. However, in the case of more complex, such as polymer, surfaces both the adhesion and friction can be very complex, irreversible, and nonlinear, exhibiting stringing and tack in the former and stick-slip sliding in the latter. We explore possible relationships between such nonlinear adhesion and friction processes. Based on recent experiments we find that certain types of "limit cycles," relating the (normal) adhesion and (lateral) friction forces, F⊥ and F∥, to the relative velocities, V⊥ and V∥, of the surfaces during an attachment-detachment process or stick-slip sliding, bear a very similar resemblance to each other. We briefly discuss the theoretical and practical implications of describing such dynamic processes in terms of limit cycles.
KW - Adhesion limit cycle
KW - Friction limit cycle
KW - Rate and state models
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U2 - 10.1080/00218460600875979
DO - 10.1080/00218460600875979
M3 - Article
AN - SCOPUS:33748278358
SN - 0021-8464
VL - 82
SP - 933
EP - 943
JO - Journal of Adhesion
JF - Journal of Adhesion
IS - 9
ER -