Advances in Material Property Characterization using Small Punch Tests by Kumar Dutta Bijan

Author:Kumar Dutta, Bijan
Language: eng
Format: epub
Publisher: Taylor & Francis Group
Published: 2024-10-04T10:54:14+00:00

Fig. 4.7(b)Plot of the minimum thickness vs. punch displacement for three values of the initial thickness of the SPT specimen

Fig. 4.8Variation of the minimum thickness with the punch displacement for three representative SPT specimen thicknesses: (a) 0.20 mm, (b) 0.25 mm, and (c) 0.3 mm. These plots also show the empirical constants β and p of each specimen calculated independently employing best fit exponential curves

Table 4.1

Empirical constants β and p for six initial thickness values of the SPT specimen determined by best fit curves for the FE data Methodology Initial thickness of the SPT specimen (t0

) (mm)

β p

Determined by a best fit exponential curve for the FE data 0.200 0.07 2.08

0.225 0.09 2.00

0.250 0.11 1.96

0.275 0.16 1.84

0.300 0.19 1.79

0.350 0.26 1.77

Determined experimentally [2] ≈ 0.250 0.09 2.00

To calculate β and p for any other intermediate value of the initial thickness, the best fit quadratic polynomials of β and p as a function of the initial thickness are obtained using the data shown in Table 4.1. The forms of such quadratic equations for β and p are, respectively,

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