The problem of a fiber attached to an infinite sheet (Melan’s problem) has been reconsidered under the hypothesis that the adherence between the two bodies is not perfect. We have assumed that the link is guaranteed by the so-called “weak interface,” i.e., we have supposed that the jump of the displacement is linearly proportional to the interface stress. The solutions of (i) the case with a concentrated force acting on the fiber and (ii) the case of the redistribution of stresses as a consequence of the rupture of the fiber have been obtained in closed form. We have discussed how the interface stiffness k influences the solutions and, in particular, the interfacial stress. Emphasis is placed on determining how the zone of influence of the applied load is modified by k. Approximate (though accurate) simple expressions for the length of the zone of influence are given and discussed. [S0021-8936(00)01001-1]

Issue Section:
Technical Papers
Keywords:
tribology, adhesion, interface phenomena, stress effects, fibres
Topics:
Fibers, Stress
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