SPH for high velocity impact computations

Abstract SPH (Smooth Particle Hydrodynamics) techniques provide the capability to perform high distortion impact computations in a Lagrangian framework. It is also possible to link SPH nodes with standard finite elements such that solutions can be obtained for problems involving both highly distorted flow and structural response. This paper presents the basic computational algorithm which includes a recently developed Normalized Smoothing Function. It discusses issues associated with smoothing functions, smoothing distances, free boundaries, material interfaces and artificial viscosity. It also presents techniques to allow SPH nodes to interact with standard finite element grids through sliding, attachment and automatic generation of SPH nodes from distorted finite elements. Examples are provided to illustrate the capabilities, algorithms and issues.

[1]  G. R. Johnson,et al.  Three-dimensional computer code for dynamic response of solids to intense impulsive loads , 1979 .

[2]  Pei Chi Chou,et al.  Dynamic Response of Materials to Intense Impulsive Loading , 1972 .

[3]  David L. Littlefield,et al.  A Penetration Mechanics Database , 1992 .

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

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

[6]  Larry D. Libersky,et al.  Cylindrical smoothed particle hydrodynamics , 1993 .

[7]  Martin W. Heinstein,et al.  An analysis of smoothed particle hydrodynamics , 1994 .

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

[9]  Martin W. Heinstein,et al.  Coupling of smooth particle hydrodynamics with the finite element method , 1994 .

[10]  R. D. Richtmyer,et al.  A Method for the Numerical Calculation of Hydrodynamic Shocks , 1950 .

[11]  Larry D. Libersky,et al.  Smooth particle hydrodynamics with strength of materials , 1991 .

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

[13]  G. R. Johnson,et al.  Incorporation of an SPH option into the EPIC code for a wide range of high velocity impact computations , 1993 .

[14]  W. Benz Smooth Particle Hydrodynamics: A Review , 1990 .

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

[16]  Charles E. Anderson,et al.  An examination of long-rod penetration , 1991 .

[17]  G. R. Johnson,et al.  Linking of Lagrangian particle methods to standard finite element methods for high velocity impact computations , 1994 .

[18]  M. J. Forrestal,et al.  Penetration of Strain-Hardening Targets With Rigid Spherical-Nose Rods , 1991 .

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

[20]  P. S. Bulson,et al.  Structures Under Shock and Impact , 1994 .

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

[22]  T. L. Warren,et al.  Perforation of aluminum plates with ogive-nose steel rods at normal and oblique impacts , 1996 .

[23]  G. R. Johnson,et al.  Eroding interface and improved tetrahedral element algorithms for high-velocity impact computations in three dimensions , 1987 .

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

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