Wedge indentation in single crystals is studied numerically, with emphasis on size-effects on the micron scale. Under the assumption of a perfectly sharp wedge indenter, a linear relationship between indentation force and indentation depth would be predicted from conventional theories lacking constitutive length parameters to model sizeeffects. The problem is studied numerically using a strain gradient crystal visco-plasticity theory formulated along the lines proposed by Fleck andWillis (2009). It is shown how the force-indentation relation is affected due to size-dependence in the material. Size-effects are included in the model due to the addition of gradient terms in both the free energy as well as through a dissipation potential. The finite element solution method is presented, which delivers the slip-rate field and the velocity-field based on two minimum principles.
Proceedings of the 18th International Symposium on Plasticity & Its Current Applications, 2012
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International Symposium on Plasticity 2012 and Its Current Applications