Local Stress and Damage Response of Polycrystal Materials to Light Shock. . .
213
Fig. 8 Cross-sectional image
of one of the polycrystal
numerical realizations used
for the simulations in this
work. This particular
realization contained a total
of 70 grains
macroscale damage model representing the plate impact experiment in the previous
section (Fig. 5) and applied to the primary faces of each cube. These results are
presented below.
Combining the results from all 10 numerical realization calculations, the pressure
distribution at all computational points is given in Fig. 9 for the cases where nonSchmid effects are accounted for. This plot compares results between calculations
without non-Schmid effects on both {110} and {112} plane slip systems and
calculation with the non-Schmid effects applied to the {110} without slip on
the {112} plane systems. In the same way, vonMises stress results are shown in
Fig. 10, giving the same two comparisons. These results are at the maximum tensile
stress point in the loading profile given in Fig. 5. These results then account for
the deformation history for that loading profile. The density estimates (smoothed
histograms) given in both Figs. 9 and 10 are derived from a combined total of
approximately 8.5 million computational (Gauss) points.
Two individual grains within one of the 10 realizations are examined in more
detail through the results presented in Figs. 11, 12, 13, and 14 and are shown for
calculations performed without the non-Schmid effect accounted for with slip on
{110} and {112} plane systems. The results in Figs. 11 and 12 show the magnitude
of vonMises stress versus distance from grain boundary surface and distance from
grain boundary triple line, respectively, for a single grain (grain 45). Each point in
these figures represents a single computational point. Figures 13 and 14 show the
same information for another grain in the simulation (grain 53). These results are
interesting in that they clearly demonstrate and quantify the influence of these two
213
Fig. 8 Cross-sectional image
of one of the polycrystal
numerical realizations used
for the simulations in this
work. This particular
realization contained a total
of 70 grains
macroscale damage model representing the plate impact experiment in the previous
section (Fig. 5) and applied to the primary faces of each cube. These results are
presented below.
Combining the results from all 10 numerical realization calculations, the pressure
distribution at all computational points is given in Fig. 9 for the cases where nonSchmid effects are accounted for. This plot compares results between calculations
without non-Schmid effects on both {110} and {112} plane slip systems and
calculation with the non-Schmid effects applied to the {110} without slip on
the {112} plane systems. In the same way, vonMises stress results are shown in
Fig. 10, giving the same two comparisons. These results are at the maximum tensile
stress point in the loading profile given in Fig. 5. These results then account for
the deformation history for that loading profile. The density estimates (smoothed
histograms) given in both Figs. 9 and 10 are derived from a combined total of
approximately 8.5 million computational (Gauss) points.
Two individual grains within one of the 10 realizations are examined in more
detail through the results presented in Figs. 11, 12, 13, and 14 and are shown for
calculations performed without the non-Schmid effect accounted for with slip on
{110} and {112} plane systems. The results in Figs. 11 and 12 show the magnitude
of vonMises stress versus distance from grain boundary surface and distance from
grain boundary triple line, respectively, for a single grain (grain 45). Each point in
these figures represents a single computational point. Figures 13 and 14 show the
same information for another grain in the simulation (grain 53). These results are
interesting in that they clearly demonstrate and quantify the influence of these two