In this paper we consider elastic plastic materials that are tested by
spherical indentation. Finite element calculations, which take into a
ccount nonlinear geometry properties, are carried out in order to dete
rmine the influence of the plastic history on the unloading response o
f the material. Two different iterative methods are proposed for deter
mining Young's modulus under the assumption of a bilinear plasticity l
aw. The first method deals with loading and unloading parts of the ind
entation test, whereas the second one deals only with unloading parts
of the indentation test.