Mechanics of Coatings, Proceedings of the 16th Leeds-Lyon by D. Dowson, C.M. Taylor and M. Godet (Eds.)

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By D. Dowson, C.M. Taylor and M. Godet (Eds.)

Mechanics of Coatings used to be selected because the subject for the sixteenth Leeds-Lyon Symposium, because it was once determined to be a well timed chance to compile specialists of many disciplines hooked up with coatings to discover methods of extending the commercial use of those coatings quite within the box of tribology. the amount comprises fifty one papers divided into 20 classes.

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E I I F1,zzzz I Renzark. When in step 3 only one i with I r i I > -fui is allowed to pass from the area of adhesion A to the area of slip S, and when in step 5 only oiie i for which ~i and vi have the same sign is allowed from S to A , the algorithm F can be proved rigorously, in the same manner as N. Then, as in N (see the Remark after it) there are the same two alternatives by which F may be accelerated. We have adopted the second alternative, which has actually been given in our presentation of F.

If the slip at element i, vi # 0 then we have in K . ri = foi sign (vi) (25) t! v(v + 1) u=- 1 - V L E H , ~ z zE H,xxz w = - 1 - vL. E I I F1,zzzz I Renzark. When in step 3 only one i with I r i I > -fui is allowed to pass from the area of adhesion A to the area of slip S, and when in step 5 only oiie i for which ~i and vi have the same sign is allowed from S to A , the algorithm F can be proved rigorously, in the same manner as N. Then, as in N (see the Remark after it) there are the same two alternatives by which F may be accelerated.

We assume that the friction can be described by the law of Coulomb-d‘Amontons, with a friction coefficient f . Discretised, this reads: 17. 4 E(r) = (1 - jqr)/(K App. E (E I5a) - jqQr) with K , Q, q viscoelastic constants which are interpreted in App. E , (E15). When K = Q, one regains elasticity with E = I/K. Consequently, (26a,b) become f ( 1 - jqr) u = ( K - jqQr)((l - v f 2 f ) H,Zzz - 2 f ( 1 - j q r ) w = (K - jqQr)((l - v ) H,xxx f 41 + Y ) H,xxz) - (28a) f 4 1 + v) H,xzz). (28b) We transform back, cf.

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