Study on Material Point Method with Different Influence Factors
81
with high pressure can be calculated by Eq. (19).
T m =T m0
p
α
+1
6γ −2
6γ +1
(19)
Figure 6 shows the simulated result when the plastic deformations, shock temperature
and melting point affected by high pressure are comprehensively considered at 80 µs.
The final length of the cylinder is 16.10 mm. The final diameter is 13.21 mm and the
final diameter of the position from the bottom 0.2L 0 is 9.40 mm. Compared to the test
result, the relative error is 3.23%.
Fig. 6. The results of XZ plane when Y is equal to zero of the Taylor impact test with considering
plastic deformations, shock temperature and high pressure
The results of three cases have been integrated into Table 3.
Table 3. The geometric parameters of the simulated cylinder at 80 µs with different cases
Case
L/mm D/mm W/mm Relative error/%
Test results
16.20 13.50 10.1
–
Considering plastic deformations only
17.16 12.17 9
8.89
Considering plastic deformations and shock
temperature
16.75 13.46 9
4.86
Considering plastic deformations, shock
temperature and melting point affected by high
pressure
16.10 13.21 9.4
3.23