Fig. 4.

Parametric study of the effect of the damage parameter γ^p for a Weibull distribution, with no intact damage taking place. (a) As γ^p increases, the onset of noticeable damage shifts to higher strains and becomes more rapid. (b) Plot of the damage variable $D=\sum _{\beta }{w}_{\beta }{F}^p\left({\Xi }_{m\beta }^p\right)$. The response becomes more nonlinear as γ^p deviates from unity. Other plasticity and damage parameters are n_f = 20, ${\mathcal{Y}}_0$ = 600 MPa, ${\mathcal{Y}}_{\text{max}}$ = 1000 MPa, w₀ = 0.75, w_e = 0, r = 1, and κ^p = 0.03.