82
J. Zhang et al.
4 Conclusions
The MPM algorithm has been improved with considering shock temperature and melting
point affected by high pressure in this paper. A Taylor impact test has been taken as an
example to analyze the influence of the material softening and the importance of shock
temperature and melting point caused by high pressure in a high-speed impact simulation
by MPM. The results show that yield stress decreases and the cylinder deforms more
easily with the increase of material temperature. Compared the relative errors of the case
which considers plastic deformations only, the results of the case which considers plastic
deformations and shock temperature together and the results of the case which considers
plastic deformations, shock temperature and melting point caused by high pressure, we
find that shock temperature and melting point caused by high pressure play much more
important roles in a high-speed impact simulation. Therefore, it is necessary to consider
the influence of shock temperature and melting point caused by high pressure in MPM
algorithm to simulate the process of an impact test.
Acknowledgement. This paper is funded by Project of Education Bureau of Guangdong Province
(grant numbers: 2018KQNCX276).
References
1. Belytschko, T., Lu, Y.Y., Gu, L.: Element-free Galerkin methods. Int. J. Numer. Method Eng.
37(2), 229–256 (1994)
2. Tian, Y., Cassidy, M.J., Randolph, M.F., Wang, D., Gaudin, C.: A simple implementation of
RITSS and its application in large deformation analysis. Comput. Geotech. 56(1), 160–167
(2014)
3. O’Sullivan, C.: Particulate Discrete Element Modelling: A Geomechanics Perspective. CRC
Press, London (2011)
4. Liu, G.R., Liu, M.B.: Smoothed Particle Hydrodynamics: A Meshfree Particle Method. World
Scientific, Singapore (2003)
5. Sulsky, D., Chen, Z., Schreyer, H.L.: A particle method for history-dependent materials.
Comput. Methods Appl. Mech. Eng. 118(1–2), 179–196 (1994)
6. Sulsky, D., Zhou, S.J., Schreyer, H.L.: Application of a particle-in-cell method to solid
mechanics. Comput. Phys. Commun. 87(1–2), 236–252 (1995)
7. Huang, P., Zhang, X., Ma, S., et al.: Contact algorithms for the material point method in
impact and penetration simulation. Int. J. Numer. Meth. Eng. 85(4), 498–517 (2001)
8. Ma, Z., Zhang, X., Huang, P.: An object-oriented MPM framework for simulation of large
deformation and contact of numerous grains. Comput. Model. Eng. Sci. (CMES) 55(1), 61–87
(2010)
9. Chen, Z., Hu, W., Shen, L., et al.: An evaluation of the MPM for simulating dynamic failure
with damage diffusion. Eng. Fract. Mech. 69(17), 1873–1890 (2002)
10. Chen, Z., Feng, R., Xin, X., et al.: A computational model for impact failure with shear-induced
dilatancy. Int. J. Numer. Meth. Eng. 56(14), 1979–1997 (2003)
11. Chen, Z., Gan, Y., Chen, J.: A coupled thermo-mechanical model for simulating the material
failure evolution due to localized heating. Comput. Model. Eng. Sci. 26(2), 123–137 (2008)
12. Johnson, G.R., Holmquist, T.J.: Evaluation of cylinder-impact test data for constitutive model
constants. J. Appl. Phys. 64(8), 3901–3910 (1988)
J. Zhang et al.
4 Conclusions
The MPM algorithm has been improved with considering shock temperature and melting
point affected by high pressure in this paper. A Taylor impact test has been taken as an
example to analyze the influence of the material softening and the importance of shock
temperature and melting point caused by high pressure in a high-speed impact simulation
by MPM. The results show that yield stress decreases and the cylinder deforms more
easily with the increase of material temperature. Compared the relative errors of the case
which considers plastic deformations only, the results of the case which considers plastic
deformations and shock temperature together and the results of the case which considers
plastic deformations, shock temperature and melting point caused by high pressure, we
find that shock temperature and melting point caused by high pressure play much more
important roles in a high-speed impact simulation. Therefore, it is necessary to consider
the influence of shock temperature and melting point caused by high pressure in MPM
algorithm to simulate the process of an impact test.
Acknowledgement. This paper is funded by Project of Education Bureau of Guangdong Province
(grant numbers: 2018KQNCX276).
References
1. Belytschko, T., Lu, Y.Y., Gu, L.: Element-free Galerkin methods. Int. J. Numer. Method Eng.
37(2), 229–256 (1994)
2. Tian, Y., Cassidy, M.J., Randolph, M.F., Wang, D., Gaudin, C.: A simple implementation of
RITSS and its application in large deformation analysis. Comput. Geotech. 56(1), 160–167
(2014)
3. O’Sullivan, C.: Particulate Discrete Element Modelling: A Geomechanics Perspective. CRC
Press, London (2011)
4. Liu, G.R., Liu, M.B.: Smoothed Particle Hydrodynamics: A Meshfree Particle Method. World
Scientific, Singapore (2003)
5. Sulsky, D., Chen, Z., Schreyer, H.L.: A particle method for history-dependent materials.
Comput. Methods Appl. Mech. Eng. 118(1–2), 179–196 (1994)
6. Sulsky, D., Zhou, S.J., Schreyer, H.L.: Application of a particle-in-cell method to solid
mechanics. Comput. Phys. Commun. 87(1–2), 236–252 (1995)
7. Huang, P., Zhang, X., Ma, S., et al.: Contact algorithms for the material point method in
impact and penetration simulation. Int. J. Numer. Meth. Eng. 85(4), 498–517 (2001)
8. Ma, Z., Zhang, X., Huang, P.: An object-oriented MPM framework for simulation of large
deformation and contact of numerous grains. Comput. Model. Eng. Sci. (CMES) 55(1), 61–87
(2010)
9. Chen, Z., Hu, W., Shen, L., et al.: An evaluation of the MPM for simulating dynamic failure
with damage diffusion. Eng. Fract. Mech. 69(17), 1873–1890 (2002)
10. Chen, Z., Feng, R., Xin, X., et al.: A computational model for impact failure with shear-induced
dilatancy. Int. J. Numer. Meth. Eng. 56(14), 1979–1997 (2003)
11. Chen, Z., Gan, Y., Chen, J.: A coupled thermo-mechanical model for simulating the material
failure evolution due to localized heating. Comput. Model. Eng. Sci. 26(2), 123–137 (2008)
12. Johnson, G.R., Holmquist, T.J.: Evaluation of cylinder-impact test data for constitutive model
constants. J. Appl. Phys. 64(8), 3901–3910 (1988)