The Effect of Fiber Poisson Expansion in Micro-Indentation Tests

Abstract

The fiber micro-indentation push-in test is studied in detail for the case of a Coulomb friction interface law. Using an integral equation method, as well as a finite element method, we investigate the “Poisson effect”; that is, the tendency for the loading to raise the normal stresses at the interface which can, in turn, augment the shear stresses. Results of the detailed analyses are compared with those of an approximate analysis which neglects the induced normal stresses and with one that includes them. A favorable comparison with the latter approximation enables us to assess the effect of material parameters on the strength of the “Poisson effect.”