Improved Element Erosion Function for Concrete-Like Materials with the SPH Method

The subject of the paper is a description of a simple test from the field of terminal ballistics and the handling of issues arising during its simulation using the numerical techniques of the finite element method. With regard to the possible excessive reshaping of the finite element mesh there is a danger that problems will arise such as the locking of elements or the appearance of negative volumes. It is often necessary to introduce numerical extensions so that the simulations can be carried out at all. When examining local damage to structures, such as the penetration of the outer shell or its perforation, it is almost essential to introduce the numerical erosion of elements into the simulations. However, when using numerical erosion, the dissipation of matter and energy from the computational model occurs in the mathematical background to the calculation. It is a phenomenon which can reveal itself in the final result when a discrepancy appears between the simulations and the experiments. This issue can be solved by transforming the eroded elements into smoothed particle hydrodynamics particles. These newly created particles can then assume the characteristics of the original elements and preserve the matter and energy of the numerical model.

[1]  PETR KRAL,et al.  Validation of the Response of Concrete Nonlinear Material Models Subjected to Dynamic Loading , 2015 .

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

[3]  Petr Hradil,et al.  Analysis of the Shear Failure of a Reinforced Concrete Wall , 2014 .

[4]  B. Luccioni,et al.  Erosion Criteria for Frictional Materials Under Blast Load , 2011 .

[5]  Guirong Liu.  Mesh Free Methods: Moving Beyond the Finite Element Method , 2002 .

[6]  H. Kwak,et al.  An improved criterion to minimize FE mesh-dependency in concrete structures under high strain rate conditions , 2015 .

[7]  M. Roth,et al.  Meshfree modeling of concrete slab perforation using a reproducing kernel particle impact and penetration formulation , 2015 .

[8]  Juraj Králik.  Safety of Nuclear Power Plants against the Aircraft Attack , 2014 .

[9]  Juraj Králik.  Optimal Design of NPP Containment Protection Against Fuel Container Drop , 2013 .

[10]  G. Cusatis.  Strain-rate effects on concrete behavior , 2011 .

[11]  Qingming Zhang,et al.  A numerical simulation on the perforation of reinforced concrete targets , 2005 .

[12]  S. H. Perry,et al.  Compressive behaviour of concrete at high strain rates , 1991 .

[13]  Numerical simulation of flat-nose projectile penetrating concrete and soil target , 2007 .

[14]  W. J. Wang,et al.  A simple numerical scheme for evaluating impact-induced compression damage in concrete plate , 2010 .

[15]  H. Wen,et al.  A unified approach for concrete impact , 2015 .

[16]  Pradipta Banerji,et al.  Local impact effects on concrete target due to missile: An empirical and numerical approach , 2014 .

[17]  WU Hai-jun,et al.  Numerical simulation on perforation of reinforced concrete targets , 2003 .

[18]  I. Kamal,et al.  Projectile penetration of reinforced concrete blocks: Test and analysis , 2012 .

[19]  K. Gylltoft,et al.  Comparative numerical studies of projectile impacts on plain and steel-fibre reinforced concrete , 2011 .

[20]  Bing Li,et al.  The effects of explosive mass ratio on residual compressive capacity of contact blast damaged composite columns , 2011 .

[21]  G. R. Johnson,et al.  A Computational Constitutive Model for Glass Subjected to Large Strains, High Strain Rates and High Pressures , 2011 .

[22]  S. Xia,et al.  A nonlocal damage theory , 1987 .

[23]  Juraj Králik,et al.  Numerical Analysis of the Exterior Explosion Effects on the Buildings with Barriers , 2013 .

[24]  Amit H. Varma,et al.  Design of composite SC walls to prevent perforation from missile impact , 2015 .

[25]  Stephen R Reid,et al.  Critical impact energies for scabbing and perforation of concrete target , 2006 .

[26]  Rade Vignjevic,et al.  A treatment of zero-energy modes in the smoothed particle hydrodynamics method , 2000 .

[27]  B. S. Altman,et al.  An empirical equation for penetration depth of ogive-nose projectiles into concrete targets , 1994 .

[28]  C. Y. Tham,et al.  Numerical and empirical approach in predicting the penetration of a concrete target by an ogive-nosed projectile , 2006 .

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

[30]  Guirong Liu,et al.  Smoothed Particle Hydrodynamics: A Meshfree Particle Method , 2003 .

[31]  Guirong Liu.  Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition , 2009 .

[32]  Jonas A. Zukas,et al.  Introduction to Hydrocodes , 2004 .