Abstract
In this paper, the discrete random packing and various ordered packings such as tetragonal and hexagonal close packed structures generated by discrete element method and honeycomb, which is manually generated were input as the initial packing structures into the multi-particle finite element model (FEM) to study their densification during compaction, where each particle is discretized as a FEM mesh. The macro-property such as relative density and micro-properties such as local morphology, stress, coordination number and densification mechanism obtained from various initial packings are characterized and analyzed. The results show that the coupling of discrete feature in particle scale with the continuous FEM in macro-scale can effectively conquer the difficulties in traditional FEM modeling, which provides a reasonable way to reproduce the compaction process and identify the densification mechanism more accurately and realistically.
Similar content being viewed by others
References
R.M. German, Powder Metallurgy Science, 2nd edn. (Metal Powder Industries Federation, New Jersey, 1994)
K. Yamaguchi, N. Takamura, S. Imatani, J. Mater. Process. Technol. 63, 364 (1997)
A.H. Tavakoli, A. Simchi, S.M. Seyed Reihani, Compos. Sci. Technol. 65, 2094 (2005)
K.T. Kim, S.C. Lee, H.S. Ryu, Mater. Sci. Eng. A 340, 41 (2003)
C.A. Leon, G. Rodriguez-Ortiz, E.A. Aguilar-Reyes, Mater. Sci. Eng. A 526, 106 (2009)
M.F. Moreno, C.J.R. González Oliver, Powder Technol. 206, 297 (2011)
D.F. Khan, H.Q. Yin, H. Li, X.H. Qu, M. Khan, S. Ali, M.Z. Iqbal, Mater. Des. 50, 479 (2013)
A.L. Gurson, J. Eng. Mater. Technol. 99, 2 (1977)
E. Arzt, Acta Metall. 30, 1883 (1982)
N.A. Fleck, J. Mech. Phys. Solids 43, 1409 (1995)
P.L. Larsson, S. Biwa, B. Storåkers, Acta Mater. 44, 3655 (1996)
B. Storåkers, N.A. Fleck, R.M. McMeeking, J. Mech. Phys. Solids 47, 785 (1999)
R.J. Henderson, H.W. Chandler, A.R. Akisanya, C.M. Chandler, S.A. Nixon, J. Mech. Phys. Solids 49, 739 (2001)
P. Ponte-Castaňeda, J. Mech. Phys. Solids 50, 759 (2002)
M. Szanto, W. Bier, N. Frage, S. Hartmann, Z. Yosibash, Int. J. Mech. Sci. 50, 405 (2008)
A.T. Procopio, A. Zavaliangos, J. Mech. Phys. Solids 53, 1523 (2005)
D.C. Drucker, W. Prager, Q. Appl. Math. 10, 157 (1952)
D.C. Drucker, R.E. Gibson, D.J. Henkel, Trans. ASCE 122, 338 (1957)
K.H. Roscoe, J.B. Burland, On the Generalized Stress–Strain Behavior of Wet Clay, ENG PLAST (Cambridge University Press, Cambridge, 1968)
H.A. Kuhn, C.L. Downey, Int. J. Powder Metall. 7, 15 (1971)
S. Shima, M. Oyane, Int. J. Mech. Sci. 18, 285 (1976)
S. Shima, M.A.E. Saleh, Mech. Mater. 16, 73 (1993)
K.T. Kim, S.W. Choi, H. Park, J. Eng. Mater. Technol. 122, 238 (2000)
W. Wu, G. Jiang, R.H. Wagoner, G.S. Daehn, Acta Mater. 48, 4323 (2000)
H. Chtourou, M. Guillot, A. Gakwaya, Int. J. Solids Struct. 39, 1059–1077 (2002)
I.C. Sinka, J.C. Cunningham, A. Zavaliangos, Powder Technol. 133, 33 (2003)
I.C. Sinka, J.C. Cunningham, A. Zavaliangos, J. Pharm. Sci. 98, 2040 (2004)
X.Z. An, R.Y. Yang, K.J. Dong, R.P. Zou, A.B. Yu, Phys. Rev. Lett. 95, 205502 (2005)
A.B. Yu, X.Z. An, R.P. Zou, R.Y. Yang, K. Kendall, Phys. Rev. Lett. 97, 265501 (2006)
X.Z. An, R.Y. Yang, R.P. Zou, A.B. Yu, Powder Technol. 188, 102 (2008)
C.L. Martin, D. Bouvard, S. Shima, J. Mech. Phys. Solids 51, 667 (2003)
O. Skrinjar, P.L. Larsson, Discrete Element Modeling of Cold Compaction of Composite Powders. In: Proceeding of the 2002 World Congress on Powder Metallurgy and Particulate Materials (Orlando, FL, USA: MPIF, 2002)
C.L. Martin, D. Bouvard, Acta Mater. 51, 373 (2003)
C.L. Martin, D. Bouvard, Int. J. Mech. Sci. 46, 907 (2004)
O. Skrinjar, P.L. Larsson, Comput. Mater. Sci. 31, 131 (2004)
O. Skrinjar, P.L. Larsson, Acta Mater. 52, 1871 (2004)
P. Redanz, N.A. Fleck, Acta Mater. 49, 4325 (2001)
B. Harthong, J.F. Jérier, P. Dorémus, D. Imbault, F.V. Donzé, Int. J. Solids Struct. 46, 3357 (2009)
C. PavanaChand, R. KrishnaKumar, Scr. Mater. 35, 767 (1996)
K.H. Lee, J.M. Lee, B.M. Kim, Trans. Nonferr. Met. Soc. China 19, s68 (2009)
J. Zhang, Compos. Sci. Technol. 69, 2048 (2009)
B. Harthong, J.F. Jérier, V. Richefeu, B. Chareyre, P. Dorémus, D. Imbault, F.V. Donzé, Int. J. Mech. Sci. 61, 32 (2012)
C. Shang, I.C. Sinka, J. Pan, Exp. Mech. 52, 903 (2012)
A.T. Procopio, A. Zavaliangos, J. Mech. Phys. Solids 53, 1523 (2005)
Y.C. Cai, H.H. Zhu, X.Y. Zhuang, Front. Struct. Civ. Eng. 7, 369 (2013)
X.Z. An, F. Huang, AIP Conf. Proc. 1542, 413 (2013)
R.M. German, Particle Packing Characteristics (Metal Powder Industries Federation, Princeton, 1989)
M. Oda, K. Iwashita, Mechanics of Granular Materials: An Introduction (Taylor & Francis Group, 1999)
J.L. Finney, Proc. R. Soc. Lond. A Math. Phys. Sci. 319, 479 (1970)
Acknowledgments
We are grateful to the financial support of National Natural Science Foundation of China (No. 50974040), China New Century Excellent Talent Funds (NCET-10-0300), and Fundamental research funds for the Central Universities of China (N120202001).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhang, Y.X., An, X.Z. & Zhang, Y.L. Multi-particle FEM modeling on microscopic behavior of 2D particle compaction. Appl. Phys. A 118, 1015–1021 (2015). https://doi.org/10.1007/s00339-014-8861-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00339-014-8861-x