Advances in Applied Mechanics

5.5.4 Adhesive Contact for Nanoindenters of Monomial Shape

The graphs of the dimensionless $\overline{P}\text{-}\overline{\delta }$ relation for monomial indenters whose degree d is within the 1 ≤ d ≤ 2 range are shown in Fig. 3.9. The limiting cases of this range are conical and spherical indenters. Using the above general solution for monomial punches, one can consider analytically these limiting cases.

Figure 3.9 The universal JKR dimensionless P₀/P*-δ₂/δ* relation for monomial indenters.

Spherical punch. For a sphere of radius R, one has d = 2, f(r) = B₂r², B₂ = 1/(2R), and ...