TY - JOUR
T1 - Particle modeling of dynamic fragmentation-I
T2 - Theoretical considerations
AU - Wang, G.
AU - Ostoja-Starzewski, M.
N1 - Funding Information:
We have benefited from correspondence with Prof. D. Greenspan (University of Texas at Arlington). Discussions with the staff at COREM, Quebec City, have proved helpful in orienting this research. The work reported herein has been made possible through support of the Canada Research Chairs program and the funding from NSERC.
PY - 2005/6
Y1 - 2005/6
N2 - This paper series adopts particle modeling (PM) to simulation of dynamic fracture phenomena in homogeneous and heterogeneous materials, such as encountered in comminution processes in the mining industry. This first paper is concerned with the setup of a lattice-type particle model having the same functional form as the molecular dynamics (MD) model (i.e., the Lennard-Jones potential), yet on centimeter length scales. We formulate four conditions to determine four key parameters of the PM model (also of the Lennard-Jones type) from a given MD model. This leads to a number of properties and trends of resulting Young's modulus in function of these four parameters. We also investigate the effect of volume, at fixed lattice spacing, on the resulting Young modulus. As an application, we use our model to revisit the dynamic fragmentation of a copper plate with a skew slit [J. Phys. Chem. Solids, 50(12) (1989) 1245].
AB - This paper series adopts particle modeling (PM) to simulation of dynamic fracture phenomena in homogeneous and heterogeneous materials, such as encountered in comminution processes in the mining industry. This first paper is concerned with the setup of a lattice-type particle model having the same functional form as the molecular dynamics (MD) model (i.e., the Lennard-Jones potential), yet on centimeter length scales. We formulate four conditions to determine four key parameters of the PM model (also of the Lennard-Jones type) from a given MD model. This leads to a number of properties and trends of resulting Young's modulus in function of these four parameters. We also investigate the effect of volume, at fixed lattice spacing, on the resulting Young modulus. As an application, we use our model to revisit the dynamic fragmentation of a copper plate with a skew slit [J. Phys. Chem. Solids, 50(12) (1989) 1245].
KW - Constitutive relations
KW - Cracks
KW - Dynamics
KW - Fracture mechanics
KW - Minerals
KW - Shocks
KW - Structural modeling
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U2 - 10.1016/j.commatsci.2004.08.008
DO - 10.1016/j.commatsci.2004.08.008
M3 - Article
AN - SCOPUS:16344388995
SN - 0927-0256
VL - 33
SP - 429
EP - 442
JO - Computational Materials Science
JF - Computational Materials Science
IS - 4
ER -