Study on Material Point Method with Different Influence Factors
77
Fig. 2. The calculation model of the Taylor impact test by MPM
-10
-5
0
5
10
0
5
10
15
30K
-10
-5
0
5
10
0
5
10
15
300K
-10
-5
0
5
10
0
5
10
15
1000K
-10
-5
0
5
10
0
5
10
15
1500K
Fig. 3. The results of XZ plane when Y is equal to zero of the Taylor impact test with different
initial temperature
temperature. Therefore, it is important to consider the influence of temperature in MPM
algorithm when the algorithm is applied for simulation.
We will consider the factors of plastic deformations and shock temperature in MPM
algorithm in the following sections.
3.2 Work of Plastic Deformations
The deformation processes of low strain-rate and high strain-rate are different in their
simulated processes. The low strain-rate phenomenon is usually treated as an isothermal
process while the high strain-rate phenomenon is usually treated as an adiabatic process.
During an adiabatic process, the work of plastic deformations is converted to heat and
causes an increase of temperature.
77
Fig. 2. The calculation model of the Taylor impact test by MPM
-10
-5
0
5
10
0
5
10
15
30K
-10
-5
0
5
10
0
5
10
15
300K
-10
-5
0
5
10
0
5
10
15
1000K
-10
-5
0
5
10
0
5
10
15
1500K
Fig. 3. The results of XZ plane when Y is equal to zero of the Taylor impact test with different
initial temperature
temperature. Therefore, it is important to consider the influence of temperature in MPM
algorithm when the algorithm is applied for simulation.
We will consider the factors of plastic deformations and shock temperature in MPM
algorithm in the following sections.
3.2 Work of Plastic Deformations
The deformation processes of low strain-rate and high strain-rate are different in their
simulated processes. The low strain-rate phenomenon is usually treated as an isothermal
process while the high strain-rate phenomenon is usually treated as an adiabatic process.
During an adiabatic process, the work of plastic deformations is converted to heat and
causes an increase of temperature.