Validation of the Klepaczko–Malinowski model for friction correction and recommendations on Split Hopkinson Pressure Bar

The paper presents some aspects related to boundary conditions perturbing measurements during dynamic compression performed with a Split Hopkinson Pressure Bar (SHPB). The analyses are focused on the influence of such effects like friction, inertia, punching, elastic wave dispersion and contact zone shape between the input bar and the projectile on the estimation of dynamic material properties. Taking these experimental restrictions and influences into account allows for better understanding of the measurements used to define the thermoviscoplastic material behavior. The results of these tests together with presented numerical simulations enable for a better understanding of the phenomena and the reduction of errors which accompany the measurements in compression testing at low and high strain rates.

[1]  S. Nemat-Nasser,et al.  A constitutive model for fcc crystals with application to polycrystalline OFHC copper , 1998 .

[2]  R. Davies.  A critical study of the Hopkinson pressure bar , 1948, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[3]  Z. G. Wang,et al.  On the Plastic Wave Propagation Along the Specimen Length in SHPB Test , 2010 .

[4]  H. Hertz.  Ueber die Berührung fester elastischer Körper. , 1882 .

[5]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[6]  S. C. Hunter,et al.  The Dynamic Compression Testing of Solids by the Method of the Split Hopkinson Pressure Bar , 1963 .

[7]  H. Kolsky.  An Investigation of the Mechanical Properties of Materials at very High Rates of Loading , 1949 .

[8]  G. Ravichandran,et al.  Large strain constitutive behavior of OFHC copper over a wide range of strain rates using the shear compression specimen , 2002 .

[9]  Hertz.  On the Contact of Elastic Solids , 1882 .

[10]  Abhishek Bhattacharyya,et al.  Effect of strain rate on deformation texture in OFHC copper , 2005 .

[11]  Gérard Gary,et al.  Displacement correction for punching at a dynamically loaded bar end , 2010 .

[12]  Gérard Gary,et al.  A three dimensional analytical solution of the longitudinal wave propagation in an infinite linear viscoelastic cylindrical bar. Application to experimental techniques , 1995 .

[13]  Howard Kuhn,et al.  Mechanical testing and evaluation , 2000 .

[14]  John W. Gillespie,et al.  Hopkinson bar experimental technique: A critical review , 2004 .

[15]  A. Arias,et al.  A thermo-viscoplastic constitutive model for FCC metals with application to OFHC copper , 2010 .

[16]  J. R. Klepaczko,et al.  Shear testing of a sheet steel at wide range of strain rates and a constitutive relation with strain-rate and temperature dependence of the flow stress , 2001 .

[17]  J. Bell,et al.  The experimental foundations of solid mechanics , 1984 .

[18]  C. K. H. Dharan,et al.  Determination of stress-strain characteristics at very high strain rates , 1970 .

[19]  S. Philippon,et al.  A Device Enhancement for the Dry Sliding Friction Coefficient Measurement Between Steel 1080 and VascoMax with Respect to Surface Roughness Changes , 2011 .

[20]  A. Rusinek,et al.  Impact tension of sheet metals - Effect of initial specimen length , 2003 .

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

[22]  A. Rusinek,et al.  Dynamic behaviour of high‐strength sheet steel in dynamic tension: Experimental and numerical analyses , 2008 .

[23]  Gérard Gary,et al.  On the use of a viscoelastic split hopkinson pressure bar , 1997 .

[24]  I. Beyerlein,et al.  Anisotropy in mechanical properties of high-purity copper processed by equal channel angular extrusion , 2005 .

[25]  Stephen M. Walley,et al.  Review of experimental techniques for high rate deformation and shock studies , 2004 .