Figure 4 shows the indentation response of a shell with *p*_{init}/*E*_{i} = 0.0154 and Δ*R*_{o}/Δ*R* = 0.2 for three values of *E*_{o}/*E*_{i}. At a small value of indenter depth, the hardness essentially scales with *E*_{o}/*E*_{i}. For example, in Fig. 4(a), at *h*/*R*_{o} = 0.005, *H*/*E*_{i} = 0.24, 0.45, and 0.91 for *E*_{o}/*E*_{i} = 1, 2, 4, respectively. For larger values of *h*/*R*_{o}, the response is shell bending dominated and is independent of the ratio *E*_{o}/*E*_{i}. On the other hand, in Fig. 4(b), the contact area is nearly independent of *E*_{o}/*E*_{i} for small indenter depths and dependent on *E*_{o}/*E*_{i} for larger indenter depths. At *h*/*R*_{o} = 0.01, the values of *H*/*E*_{i} are 0.25, 0.41, and 0.77 for *E*_{o}/*E*_{i} = 1, 2, 4, respectively. An indenter depth of *h*/*R*_{o} = 0.01 corresponds to *h*/Δ*R*_{o} = 1.0, so that at least for these parameter values an indenter depth of the outer shell thickness is still largely governed by the outer shell stiffness. For an indenter depth of *h*/*R*_{o} = 0.1, the corresponding values of *H*/*E*_{i} are 0.075, 0.090, and 0.10, so that for large indenter depths, where bending dominates, the value of *H* is much less dependent on the outer layer stiffness.