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Figure 1. Dimension parameters and geometric shape of the Berkovich indenter: (a) model diagram, (b) top view, (c) side view, and (d) 3-D solid model.  where R is the indenter nose radius, d* is the distance from the nose vertex to the top of the ideal indenter, a is the angle between the edge line and the centerline, 0 is the angle between the edge plane and the centerline, d; is the distance from Section 1 to the nose vertex, d> is the distance from Section 2 to the nose vertex, rg is the radius of Section 1, r is the circular arc radius of the intersection between  the sphere and the triangular pyramid, and | is the length of the intersection between the section which is normally aligned to the centerline and the edge plane in the transition part.  The normal projected area of the different indenter heights can be calculated using Equation (8).

Figure 1 Dimension parameters and geometric shape of the Berkovich indenter: (a) model diagram, (b) top view, (c) side view, and (d) 3-D solid model. where R is the indenter nose radius, d* is the distance from the nose vertex to the top of the ideal indenter, a is the angle between the edge line and the centerline, 0 is the angle between the edge plane and the centerline, d; is the distance from Section 1 to the nose vertex, d> is the distance from Section 2 to the nose vertex, rg is the radius of Section 1, r is the circular arc radius of the intersection between the sphere and the triangular pyramid, and | is the length of the intersection between the section which is normally aligned to the centerline and the edge plane in the transition part. The normal projected area of the different indenter heights can be calculated using Equation (8).