An improved generalized particle algorithm that includes boundaries and interfaces

This paper presents an improved generalized particle algorithm (GPA), as well as new boundary and interface algorithms for particle interaction with finite elements and other particles (of different materials). The improved GPA uses a local co-ordinate system that is aligned with the boundaries and/or interfaces for the determination of the strain rates and forces. This enables the boundary and interface algorithms to be applied in a straightforward manner. It also provides an invariant solution that is independent of the orientation of the global co-ordinate system. Several examples are presented to illustrate the effects of the various algorithms. Copyright © 2001 John Wiley & Sons, Ltd.

[1]  F. G. Hammitt,et al.  Hydrodynamic Phenomena During High-Speed Collision Between Liquid Droplet and Rigid Plane , 1973 .

[2]  L. Libersky,et al.  Smoothed Particle Hydrodynamics: Some recent improvements and applications , 1996 .

[3]  G. R. Johnson,et al.  SPH for high velocity impact computations , 1996 .

[4]  G. R. Johnson,et al.  Numerical Algorithms in a Lagrangian Hydrocode. , 1997 .

[5]  G. R. Johnson,et al.  Dynamic Response of Axisymmetric Solids Subjected to Impact and Spin , 1979 .

[6]  G. R. Johnson,et al.  Status of the EPIC Codes, Material Characterization and New Computing Concepts at Honeywell , 1983 .

[7]  G. R. Johnson,et al.  Symmetric contact and sliding interface algorithms for intense impulsive loading computations , 2001 .

[8]  J. Monaghan.  Smoothed particle hydrodynamics , 2005 .

[9]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[10]  Zhang Feng.  A Computational Model for Concrete Subjected to Large Strains,High Strain Rates,and High Pressures , 2002 .

[11]  G. R. Johnson,et al.  Artificial viscosity effects for SPH impact computations , 1996 .

[12]  J. Monaghan,et al.  Shock simulation by the particle method SPH , 1983 .

[13]  G. R. Johnson,et al.  Dynamic Lagrangian computations for solids, with variable nodal connectivity for severe distortions , 1986 .

[14]  S. W. Attaway,et al.  On the feasibility of using Smoothed Particle Hydrodynamics for underwater explosion calculations , 1995 .

[15]  G. R. Johnson,et al.  NORMALIZED SMOOTHING FUNCTIONS FOR SPH IMPACT COMPUTATIONS , 1996 .

[16]  G. R. Johnson,et al.  A generalized particle algorithm for high velocity impact computations , 2000 .

[17]  L. Lucy.  A numerical approach to the testing of the fission hypothesis. , 1977 .

[18]  G. R. Johnson,et al.  Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures , 1985 .