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Hand Design—Hybrid Soft and Hard Structures  119


                      10
                          Pressure at no-contact
                       9   15kPa
                           10kPa
                       8   5kPa
                       7                 Gel layer Silicon layer
                     Force [N]  6 5 4



                       3  Contact with the silicon layer
                       2
                       1
                       0
                        0    1   2    3    4   5    6    7   8    9   10
                                          Deformation [mm]
              Fig. 7.5 Relationship between applied force and deformation at the compression test
              of fluid fingertip [2].

              through the rubber, the cases in which the fluid pressures were 5, 10, and
              15 kPa were examined. Fig. 7.5 shows the experimental results, identified
              by markers, along with the corresponding regression curves. For the regres-
              sion, the following model, which assumes that the fluid fingertip is a hemi-
              sphere as given by Xydas and Kao [21], was utilized:
                                                 ζ
                                         f ¼ CΔd ,                        (7.1)
              where f is the applied force, Δd is the deformation of the surface, and C and ζ
              are the parameters. Table 7.1 lists the parameters for the regression curves.
              Fig. 7.5 indicates that the rate of increase suddenly changed around a defor-
              mation of 5 mm. This was due to the contact pressure exerted by the flat
              plate to the silicon layer through the rubber. The data were then split into
              two parts by setting a boundary at the 5 mm deformation, and thereafter
              regression was applied separately to the two parts. Fig. 7.4 shows that the

              Table 7.1 C and ζ for the regression curves in Fig. 7.5 [22]
                                             When contacting    When contacting
                                              with fluid layer  with silicon layer
              Pressure at no-contact (initial state)
              [kPa]                         C         ζ        C        ζ
              5                              0.073    1.59     0.255     1.88
              10                             0.109    1.52     0.408     1.64
              15                             0.151    1.46     0.584     1.46
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