Perforation of steel and aluminum targets using a modified Johnson–Cook material model

Abstract Numerical perforation studies involving finite element method (FEM) suffer from severe mesh distortion problem when subjected to large deformation in high velocity projectile impact cases. Severe element distortion causes negative volume problem and introduces numerical errors in the simulated results. Mesh free methods, such as smoothed particle hydrodynamics (SPH) method is capable of handling large deformation without any numerical problems, but at substantially high computational resources. To mitigate the problem, coupled smoothed particle hydrodynamics–finite element method (SFM) has been implemented to study the high velocity perforations of steel and aluminum target plates, where the SPH method is adopted only in severely distorted regions and the FEM further away. Strain rate and adiabatic heating have a considerable effect on material properties, especially at high velocity impact, and hence, a new material model with high strain rate and adiabatic temperature effects is adopted herein. Material properties for Weldox 460E steel and AA5083-H116 aluminum plates are determined and used to perform perforation of target plates with varying thicknesses and projectile nose geometries, such as blunt, conical and ogival noses. Numerical residual and ballistic limit velocities show good correlation with the published experimental results. The study demonstrates that the new material model is able to emulate failure characteristics of the steel and aluminum plates as observed in various experimental observations.

[1]  Magnus Langseth,et al.  Perforation of AA5083-H116 aluminium plates with conical-nose steel projectiles : Calculations , 2009 .

[2]  Gianni Petrangeli Large airplane crash on a nuclear plant: Design study against excessive shaking of components , 2010 .

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

[4]  Takashi Sato,et al.  Two types of a passive safety containment for a near future BWR with active and passive safety systems , 2009 .

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

[6]  Takashi Sato,et al.  Three Types of a Passive Safety Containment for a Near Future BWR With Active and Passive Safety Systems , 2010 .

[7]  S. Swaddiwudhipong,et al.  High velocity impact dynamic response of structures using SPH method , 2004, Int. J. Comput. Eng. Sci..

[8]  D. Agard,et al.  Microtubule nucleation by γ-tubulin complexes , 2011, Nature Reviews Molecular Cell Biology.

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

[10]  Sia Nemat-Nasser,et al.  Determination of temperature rise during high strain rate deformation , 1998 .

[11]  S. Swaddiwudhipong,et al.  High Velocity Penetration/Perforation Using Coupled Smooth Particle Hydrodynamics-Finite Element Method , 2010, ArXiv.

[12]  S. Dey,et al.  High-strength Steel Plates subjected to Projectile Impact: An experimental and numerical Study , 2004 .

[13]  Magnus Langseth,et al.  Perforation of AA5083-H116 aluminium plates with conical-nose steel projectiles—experimental study , 2004 .

[14]  Werner Goldsmith,et al.  The mechanics of penetration of projectiles into targets , 1978 .

[15]  T. Børvik,et al.  A computational model of viscoplasticity and ductile damage for impact and penetration , 2001 .

[16]  J. Klepaczko Loading rate spectra for fracture initiation in metals , 1984 .

[17]  Jonas A. Zukas,et al.  High velocity impact dynamics , 1990 .

[18]  James J. Mason,et al.  On the strain and strain rate dependence of the fraction of plastic work converted to heat: an experimental study using high speed infrared detectors and the Kolsky bar☆ , 1992 .

[19]  Chan Ghee Koh,et al.  Stress wave propagation in 1-D and 2-D media using Smooth Particle Hydrodynamics method , 2002 .

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

[21]  S. Nemat-Nasser,et al.  Deformation behavior of tantalum and a tantalum tungsten alloy , 2001 .

[22]  M. Wilkins Calculation of Elastic-Plastic Flow , 1963 .

[23]  M. Langseth,et al.  Effect of target thickness in blunt projectile penetration of Weldox 460 E steel plates , 2003 .

[24]  Geoffrey Ingram Taylor,et al.  The Latent Energy Remaining in a Metal after Cold Working , 1934 .

[25]  G. R. Johnson High Velocity Impact Calculations in Three Dimensions , 1977 .

[26]  L. Libersky,et al.  High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response , 1993 .

[27]  Ahmed Benallal,et al.  Flow and fracture characteristics of aluminium alloy AA5083–H116 as function of strain rate, temperature and triaxiality , 2004 .