Data-driven estimation of plastic properties in work-hardening model combining power-law and linear hardening using instrumented indentation test

Figures & data

Figure 1. Stress–plastic strain curves of two simplest and proposed work-hardening models estimated from instrumented indentation test.

Figure 2. Finite element model of instrumented indentation test.

Figure 3. Response surfaces of normalized loading curvature and pile-up height for ${\sigma }_0$, $n$, and $H_{\mathrm{p}}$in $E=200$ GPa and $\nu =0.3$. Surface of $H_{\mathrm{p}}=915.78$ MPa was indicated to use for validation.

Figure 4. Response surfaces for power-low hardening ($E=200$ GPa, $\nu =0.3$, and $H_{\mathrm{p}}=0$ MPa). Black lines and a rhomboid mark were drawn for validation.

Figure 5. Response surfaces for power-low hardening ($E=200$ GPa, $\nu =0.3$, and $n=0$). Black lines and a rhomboid mark were drawn for validation.

Figure 6. Experimental results.

Table 1. Experimental results of loading curvatures and pile-up heights: data of 12 indentation tests.

Indentation	a	b	c	d	e	f
$C$ [GPa]	53.66	57.56	62.98	58.97	54.61	57.09
$Z_{\mathrm{m}\mathrm{a}\mathrm{x}}/h_{\mathrm{m}\mathrm{a}\mathrm{x}}$	0.164	0.165	0.112	0.195	0.182	0.165
Indentation	g	h	i	j	k	l
$C$ [GPa]	55.88	58.00	58.81	57.34	57.22	59.51
$Z_{\mathrm{m}\mathrm{a}\mathrm{x}}/h_{\mathrm{m}\mathrm{a}\mathrm{x}}$	0.173	0.134	0.129	0.138	0.125	0.177

Table 2. Experimental results of loading curvatures and pile-up heights: average value and deviations of 12 indentation tests.

Material	$C$ [GPa]	$Z_{\mathrm{m}\mathrm{a}\mathrm{x}}/h_{\mathrm{m}\mathrm{a}\mathrm{x}}$
SUS304 stainless steel	57.63 $\pm$ 2.31	0.155 $\pm$ 0.025

Figure 7. Stress–plastic strain curves of two simplest work-hardening models estimated from instrumented indentation test.

Figure 8. Response surfaces for combined hardening model ($E=200$ GPa, $\nu =0.3$, and $H_{\mathrm{p}}=915.8$ MPa).

Figure 9. Validation: simulation results using estimated material constants.

Figure 10. Validation: stress–strain curves estimated from instrumented indentation test.