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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

Postal Subscription Code 80-968

2018 Impact Factor: 1.272

Front Struc Civil Eng    2012, Vol. 6 Issue (2) : 101-110    https://doi.org/10.1007/s11709-012-0160-z
RESEARCH ARTICLE
High velocity impact of metal sphere on thin metallic plate using smooth particle hydrodynamics (SPH) method
Hossein ASADI KALAMEH(), Arash KARAMALI, Cosmin ANITESCU, Timon RABCZUK
Institute of Structural Mechanics, Bauhaus-University Weimar, Weimar 99423, Germany
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Abstract

The modeling of high velocity impact is an important topic in impact engineering. Due to various constraints, experimental data are extremely limited. Therefore, detailed numerical simulation can be considered as a desirable alternative. However, the physical processes involved in the impact are very sophisticated; hence a practical and complete reproduction of the phenomena involves complicated numerical models. In this paper, we present a smoothed particle hydrodynamics (SPH) method to model two-dimensional impact of metal sphere on thin metallic plate. The simulations are applied to different materials (Aluminum, Lead and Steel); however the target and projectile are formed of similar metals. A wide range of velocities (300, 1000, 2000, and 3100 m/s) are considered in this study. The goal is to study the most sensitive input parameters (impact velocity and plate thickness) on the longitudinal extension of the projectile, penetration depth and damage crater.

Keywords smoothed particle hydrodynamics      high velocity impact      sensitivity analysis     
Corresponding Author(s): KALAMEH Hossein ASADI,Email:asadi.hosein@gmail.com   
Issue Date: 05 June 2012
 Cite this article:   
Hossein ASADI KALAMEH,Arash KARAMALI,Cosmin ANITESCU, et al. High velocity impact of metal sphere on thin metallic plate using smooth particle hydrodynamics (SPH) method[J]. Front Struc Civil Eng, 2012, 6(2): 101-110.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-012-0160-z
https://academic.hep.com.cn/fsce/EN/Y2012/V6/I2/101
Fig.1  Spline kernel acting on its compact support
Fig.2  Particles initial placement
Fig.3  Modeling failure
initial velocity/(m·s-1)crater diameter/mmfinal longitudinal diameter of projectile/mmprojectile penetration/mm
30010.4149.2491.582
100015.5548.1735.767
200018.8427.00611.987
310020.9936.15418.992
Tab.1  Results for AL-AL impact, 8 μs after impact
initial velocity/(m·s-1)crater diameter/mmfinal longitudinal diameter of projectile/mmprojectile penetration/mm
30010.6439.2641.597
100015.5578.1695.776
200018.8206.99611.983
310021.3616.05018.981
Tab.2  Results for Lead-Lead impact, 8 μs after impact
initial velocity/(m·s-1)crater diameter/mmfinal longitudinal diameter of projectile/mmprojectile penetration/mm
30010.5439.2561.588
100015.5748.1815.772
200018.8897.01811.980
310020.8816.17718.941
Tab.3  Results for Steel-Steel impact, 8 μs after impact
Fig.4  Spatial variation in direction for AL-AL impact at 2 μs after impact
Fig.5  Spatial variation in direction for AL-AL impact at 4 μs after impact
Fig.6  Spatial variation in direction for AL-AL impact at 6 μs after impact
Fig.7  Spatial variation in direction for AL-AL impact at 8 μs after impact
Fig.8  Spatial variation in direction for AL-AL impact at 2, 4, 6 and 8 μs after impact
Fig.9  Velocity variation in direction for AL-AL impact for 2 μs after impact
Fig.10  Velocity variation in direction for AL-AL impact for 4 μs after impact
Fig.11  Velocity variation in direction for AL-AL impact for 6 μs after impact
Fig.12  Velocity variation in direction for AL-AL impact for 8 μs after impact
Fig.13  Velocity of 300 m/s
Fig.14  Velocity of 1000 m/s
Fig.15  Velocity of 2000 m/s
Fig.16  Velocity of 3100 m/s
Fig.17  Geometry and the initial particle placement for Al-Al impact
Fig.18  Upper half of the configuration obtained by AL-AL impact, at a time 8 μs after impact
Fig.19  Upper half of the configuration obtained by AL-AL impact, at a time 8 μs after impact using SPH technique used in this paper
simulationmodelcrater diameter/cmfinal longitudinal diameter of projectile/cmprojectile penetration/cm
SAV12.00.71.8
SAV21.90.71.8
BAL2.00.71.8
MON2.00.82.0
CON2.10.71.9
SPH technique used in this paper2.10.61.9
Tab.4  Results obtained using different methods
elasticityindeximpact velocity
300100020003100
EIVL0.0610650.1657150.2857760.371782
EIWL0.0406130.1108240.1772290.226165
EIVP1.0833221.0567581.0507611.048952
EIWP0.2623220.2145590.1887270.177789
EIVC0.2406070.4377520.3102030.277102
EIWC0.0872690.3188360.2782140.176652
Tab.5  Elasticity indices for the input variables initial velocity and = wall thickness and output variables = longitudinal extension, = penetration, and = crater diameter
percentagecontributionimpact velocity
300100020003100
PC[V, L]69.33%69.10%72.22%72.99%
PC[W, L]30.67%30.90%27.78%27.01%
PC[V, P]94.46%96.04%96.87%97.21%
PC[W, P]5.54%3.96%3.13%2.79%
PC[V, C]88.37%65.34%55.42%71.10%
PC[W, C]11.63%34.66%44.58%28.90%
Tab.6  Percentage contribution to the variation in the outputs = longitudinal extension, = penetration, and = crater diameter for the input variables initial velocity and = wall thickness
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