1. Reference problem

The damage \(D(t)\) is calculated from the data of the stress tensor \(\sigma (t)\) and the cumulative plastic deformation \(p(t)\) resulting from a thermomechanical calculation. The damage kinetics is given by:

\(\dot{D}=\frac{1}{{(1-D)}^{\mathrm{2s}}}{\left[\frac{1}{\mathrm{3ES}}(1+\nu ){\sigma }_{\mathrm{eq}}^{2}+\frac{3}{\mathrm{2ES}}(1-2\nu ){\sigma }_{H}^{2}\right]}^{s}\dot{p}\)	if \(p>{p}_{d}\)
\(D=0\)	otherwise

\({\sigma }_{\mathrm{eq}}\) is the equivalent von Mises stress

\({\sigma }_{H}\) is the hydrostatic stress

\({p}_{d}\) represents the damage threshold

\(S\) is a material characteristic (\(\mathrm{MPa}\))

\(s\) is a material characteristic

1.1. Material properties

\(\mathrm{Temp}(°C)\)	\(E(\mathrm{MPa})\)	\(\nu\)	\(S(\mathrm{MPa})\)	\({P}_{d}\)	\(s\)
					Case 1	Case 2
	143006.0E+6	0.33	7.0	1.005E-6	0.8	1.003
	143006.0E+6	0.33	7.0	1.005E-6	0.8	1.003
	143006.0E+6	0.33	7.0	1.005E-6	0.8	1.003

Two exponent values

are successively used for the validation of developments in CALC_CHAMP.

1.2. Loading

The loading corresponds to a tensile test at constant temperature and at a fixed deformation rate. It is defined in paragraph [§2.2].