The Coulomb friction model effectively defines a friction cone within which the tangential component of a force exerted by one body on the surface of another in static contact, is countered by an equal and opposite force such that the static configuration is maintained.
12.
The "'Painlev?paradox "'( also called by Jean Jacques Moreau "'frictional paroxysms "') is a well-known example by Paul Painlev?in rigid-body dynamics that showed that rigid-body dynamics with both contact friction and Coulomb friction is inconsistent.
13.
For example, the basic rule for Coulomb friction is that the friction force has magnitude " ?N " in the direction opposite to the direction of slip, where " N " is the normal force and " ? " is a constant ( the friction coefficient ).
14.
The Coulomb friction F _ \ mathrm { f } \, may take any value from zero up to \ mu F _ \ mathrm { n } \,, and the direction of the frictional force against a surface is opposite to the motion that surface would experience in the absence of friction.
15.
Examples of such problems include, for example, mechanical impact problems, electrical circuits with " ideal " diodes, Coulomb friction problems for contacting bodies, and dynamic economic and related problems such as dynamic traffic networks and networks of queues ( where the constraints can either be upper limits on queue length or that the queue length cannot become negative ).
16.
It contains ( i ) a detailed study of phenomenological interface constitutive laws ( ii ) a constitutive interface law incorporating the normal deformability of the interface and the Coulomb friction law, ( iii ) formulations of the dynamic and steady sliding contact problems together with proofs on existence and uniqueness of solutions, ( iv ) numerical techniques and algorithms for the study of the dynamic and steady sliding problems, ( v ) numerical finite element results and parametric studies on the stability of steady sliding and on friction induced oscillations.
