Simulation of Shock Wave Assisted Free and Shape Forming of Metallic Plates in a Shock Tube

Abstract:

Due to their complexity, certain engineering problems like finding shock strength, Mach number etc. and the interaction of shock wave with a structure in free and restricted metal forming techniques cannot be achieved in a single experimentation, these can be obtained only through a number of trials and that leads to increase in cost and time. In such cases both cost and time can be reduced by adopting numerical simulations. In this projectcommercial software ANSYS is used to simulate the propagation shock wave through a shock tube, free and shape forming of metallic plates subjected to this shock wave. Shock Mach numbers up to 2.12 have been generated by varying the driver to driven pressure ratios. Thin copper plates of diameter 60mm and thickness of 0.5mm and 0.3mm are subjected to shock wave loadingin order to form into dies.These dies,madeof structural steel are modelled with pre-defined shapes. The plate peakoverpressures ranging from 9 to 20bar have been generated.The midpoint deflection, Von Mises stress and strain are calculated for free forming copper plates. The simulated results are compared with the experimental values available in literature. The simulated results match well with the experimental values.

• Periodical: Applied Mechanics and Materials (Volumes 813-814)
• Pages: 586-591
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.813-814.586
• Online since: November 2015
• Authors: Kottakota Kalasagarreddi, Prem Sai Koppuravuri Sobhan, Vinay Kumar Gundu, S.R. Nagaraja*
• Keywords: Free Forming, Shape Forming, Shock Tube, Shock Waves, Simulation

References

[1] Jagadeesh G, Industrial Applications of Shock Waves, Journal of Aerospace Engineering, 222 (2007) 575-583.

[2] Nurick G. N and Martin J. B, Deformation of thin plates subjected to impulsive loading – a review, International Journal of Impact Engineering, 8 (1989) 159 -170.

DOI: 10.1016/0734-743x(89)90014-6

[3] Gupta N. K and Nagesh, Deformation and tearing of circular plates with varying support conditions under uniform impulsive loads, International Journal of Impact Engineering, 34 (2007) 42–59.

DOI: 10.1016/j.ijimpeng.2006.05.002

[4] R.G. Teeling-Smith and G.N. Nurick, The deformation and tearing of thin circular plates subjected to impulsive loads, International Journal of Impact Engineering, 11(1991) 77-91.

DOI: 10.1016/0734-743x(91)90032-b

[5] Skews B. W, Kosing O. E and Hattingh R. J, Use of a liquid shock tube as a device for the study of material deformation under impulsive loading conditions, Journal of Mechanical Engg. Science, 218 (2003) 39-51.

DOI: 10.1243/095440604322786938

[6] Kosing O. E, Barbosa F. J and Skews B. W, A new friction controlled piston actuated diaphragmless shock tube driver, Shock Waves, 9 (1999) 69-72.

DOI: 10.1007/s001930050140

[7] Stoffel Marcus, Evolution of plastic zones in the dynamically loaded plates using different elastic viscoplastic laws, International Journal of Solids and Structures, 41(2004) 6813–6830.

DOI: 10.1016/j.ijsolstr.2004.05.060

[8] Stoffel Marcus, Shape forming of shock wave loaded viscoplastic plates, Mechanics Research Communications, 33 (2006) 35–41.

DOI: 10.1016/j.mechrescom.2005.06.009

[9] Marcus Stoffel et al, Influence of structural hypotheses on the elastic viscoplastic response of shock wave loaded plates, Proceedings in Applied Mathematics and Mechanics, 11 (2011) 291-292.

DOI: 10.1002/pamm.201110137

[10] Erheng Wang, Nate Gardner and Arun Shukla, The blast resistance of sandwich composite with stepwise graded cores, International Journal of Solids and Structures, 46 (2009) 3492-3502.

DOI: 10.1016/j.ijsolstr.2009.06.004

[11] James LeBlanc and Arun Shukla, Underwater Explosive Response of Submerged, Air-backed Composite Materials: Experimental and Computational Studies, A. Shukla et al. (eds. ), Blast Mitigation: Experimental and Numerical Studies, Springer Science + Business Media New York 2014, pp.123-160.

DOI: 10.1007/978-1-4614-7267-4_5

[12] L.E. Perotti, R. Deiterding, K. Inaba, J. Shepherd, M. Ortiz, Elastic response of water-filled fiber composite tubes under shock wave loading, International Journal of Solids and Structures, 50 (2013) 473-486.

DOI: 10.1016/j.ijsolstr.2012.10.015

[13] Nagaraja S. R, J. K Prasad and G. Jagadeesh, Theoretical-experimental study of shock wave assisted metal forming process using diaphragmless shock tube, Proc. IMechE, Part G: J. Aerospace Engineering, 226 (2013) 1534-1543.

DOI: 10.1177/0954410011424808

[14] Fabio Ferrero, Ronald Meyer, Martin Kluge and Volkmar Schröder, A Parametric Study of Shock Wave Simulations with Help of COMSOL Multiphysics, Excerpt from the Proceedings of the 2012 COMSOL Conference in Milan.

[15] Anderson John David, Modern Compressible Flow–with historical perspective, McGraw - Hill Publishing Company, (1990).