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Research Papers

An Innovative Approach of Using Continuous Impedance-Graded Metallic Composite System for Attenuation of Stress Waves

[+] Author and Article Information
P. L. N. Fernando

School of Civil Engineering,
Faculty of Engineering and IT,
The University of Sydney,
Darlington, NSW 2006, Australia
e-mail: paththige.fernando@sydney.edu.au

Damith Mohotti

School of Civil Engineering,
Faculty of Engineering and IT,
The University of Sydney,
Darlington, NSW 2006, Australia
e-mail: damith.mohotti@sydney.edu.au

Alex Remennikov

Centre for Infrastructure Protection and Mining Safety,
University of Wollongong,
Wollongong, NSW 2522, Australia
e-mail: alexrem@uow.edu.au

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the Journal of Applied Mechanics. Manuscript received December 5, 2018; final manuscript received January 25, 2019; published online March 16, 2019. Assoc. Editor: Shengping Shen.

J. Appl. Mech 86(6), 061002 (Mar 16, 2019) (15 pages) Paper No: JAM-18-1692; doi: 10.1115/1.4042681 History: Received December 05, 2018; Accepted January 25, 2019

This paper presents an innovative approach of stress attenuation through a continuous impedance-graded material system for high strain-rate events. High energetic dynamic events such as blasts and impact could cause stress waves—in the form of elastic, plastic, and shock—to propagate in a solid material. An impedance-graded composite is created by arranging different metallic alloys in the reducing order of their impedance through the system. Impedance, which is the product of volumetric mass density and wave velocity, is chosen as the function as it plays a governing role in elastic, plastic, and shock waves. An analytical framework to quantify the stress wave propagation through an impedance-graded multimaterial system is developed based on the principles of shock and elastic wave theories. The numerical simulations carried out using nonlinear finite element code, LS-DYNA, were able to capture and quantify the elastic, plastic, and shock waves and their reflections at different interfaces. It was identified that the final transmitted stress wave, which could comprise elastic, plastic, and shock waves, as well as the reflected tensile elastic wave at each material interface, needs to be controlled in order to develop a robust multimaterial system.

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References

Park, Y., Kim, Y., Baluch, A. H., and Kim, C.-G., 2014, “Empirical Study of the High Velocity Impact Energy Absorption Characteristics of Shear Thickening Fluid (STF) Impregnated Kevlar Fabric,” Int. J. Impact Eng., 72, pp. 67–74. [CrossRef]
Mohotti, D., Ngo, T., Mendis, P., and Raman, S. N., 2013, “Polyurea Coated Composite Aluminium Plates Subjected to High Velocity Projectile Impact,” Mater. Design, 52, pp. 1–16. [CrossRef]
Zhang, J., Shi, X. H., and Soares, C. G., 2017, “Experimental Study on the Response of Multi-Layered Protective Structure Subjected to Underwater Contact Explosions,” Int. J. Impact Eng., 100, pp. 23–34. [CrossRef]
Zheng, J., Hu, Y., Ma, L., and Du, Y., 2015, “Delamination Failure of Composite Containment Vessels Subjected to Internal Blast Loading,” Compos. Struct., 130, pp. 29–36. [CrossRef]
Bambach, M. R., 2014, “Numerical Simulation of the Shock Spalling Failure of Bonded Fibre–Epoxy Strengthening Systems for Metallic Structures,” Eng. Struct., 64, pp. 1–11. [CrossRef]
Sriram, R., Vaidya, U. K., and Kim, J.-E., 2006, “Blast Impact Response of Aluminum Foam Sandwich Composites,” J. Mater. Sci., 41, pp. 4023–4039. [CrossRef]
Yin, C., Jin, Z., Chen, Y., and Hua, H., 2016, “Shock Mitigation Effects of Cellular Cladding on Submersible Hull Subjected to Deep Underwater Explosion,” Ocean Eng., 117, pp. 221–237. [CrossRef]
Imbalzano, G., Tran, P., Ngo, T. D., and Lee, P. V. S., 2016, “A Numerical Study of Auxetic Composite Panels Under Blast Loadings,” Compos. Struct., 135, pp. 339–352. [CrossRef]
Remennikov, A., Ngo, T., Mohotti, D., Uy, B., and Netherton, M., 2017, “Experimental Investigation and Simplified Modeling of Response of Steel Plates Subjected to Close-In Blast Loading From Spherical Liquid Explosive Charges,” Int. J. Impact Eng., 101, pp. 78–89. [CrossRef]
Yang, W., Sherman, V. R., Gludovatz, B., Mackey, M., Zimmermann, E. A., Chang, E. H., Schaible, E., Qin, Z., Buehler, M. J., Ritchie, R. O., and Meyers, M. A., 2014, “Protective Role of Arapaima Gigas Fish Scales: Structure and Mechanical Behavior,” Acta Biomater., 10, pp. 3599–3614. [CrossRef] [PubMed]
Bruck, H. A., 2000, “A One-Dimensional Model for Designing Functionally Graded Materials to Manage Stress Waves,” Int. J. Solids Struct., 37, pp. 6383–6395. [CrossRef]
Salvado, F. C., Teixeria-Dias, F., Walley, S. M., Lea, L. J., and Cardoso, J. B., 2017, “A Review on the Strain Rate Dependency of the Dynamic Viscoplastic Response of FCC Metals,” Prog. Mater. Sci., 88, pp. 186–231. [CrossRef]
Tedesco, J. W., and Landis, D. W., 1989, “Wave Propagation Through Layered System,” Comput. Struct., 32, pp. 625–638. [CrossRef]
Hazell, P. J., 2015, Armour: Materials, Theory and Design, CRC Press/Taylor & Francis, Boca Raton, FL. ISBN: 9781482238303.
Meyers, M. A., 2007, Dynamic Behavior of Materials, Wiley, New York. ISBN: 9780471582625.
Cooper, P. W., 1996, Explosives Engineering, Wiley, Weinheim. ISBN: 9781119537175.
Davison, L., 2008, Fundamentals of Shock Wave Propagation in Solids, Springer, Berlin. ISBN: 9783540745686.
Gardner, N., Wang, E., and Shukla, A., 2012, “Performance of Functionally Graded Sandwich Composite Beams Under Shock Wave Loading,” Compos. Struct., 94, pp. 1755–1770. [CrossRef]
Kiernan, S., Cui, L., and Gilchrist, M. D., 2009, “Propagation of a Stress Wave Through a Virtual Functionally Graded Foam,” Int. J. Nonlinear Mech., 44, pp. 456–468. [CrossRef]
Hui, D., and Dutta, P. K., 2011, “A New Concept of Shock Mitigation by Impedance-Graded Materials,” Compos. Part B Eng., 42, pp. 2181–2184. [CrossRef]
Livermore Software Technology Corporation, 2007, “LS-DYNA Keyword User's Manual,” Version R9.0, California.
Gama, B. A., Lopatnikov, S. L., and Gillespie, J. J. W., 2004, “Hopkinson Bar Experimental Technique: A Critical Review,” Appl. Mech. Rev., 57, pp. 223–250. [CrossRef]

Figures

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Fig. 1

Propagation of stress waves through a multimaterial system

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Fig. 2

Stress–strain curve for material undergoing uniaxial strain conditions

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Fig. 3

Shape of a typical shock wave

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Fig. 4

Forces acting on an element

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Fig. 5

The propagation of the incident, transmitted, and reflected waves

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Fig. 6

The generation of plastic waves due to an incident (a) elastic wave and (b) elastic wave and plastic wave for one-directional wave propagation

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Fig. 7

P-up Hugoniot for right-going (curve A) and left-going (curve B) shock waves

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Fig. 8

P-up Hugoniot for a material with negligible strength (curve A) and a material with strength (curve B)

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Fig. 9

Numerical models for (a) one- and (b) two-directional wave propagations

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Fig. 10

Propagation of stress waves through (a) monolithic and (b) composite configurations. The arrows in these figures illustrate only the direction of the wave propagation and therefore must not be read as a vector representation.

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Fig. 11

Sequential captures of stress waves from numerical simulations for a two-dimensional wave propagation

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Fig. 12

Stress–time plots identifying (a) elastic and plastic waves and (b) shock waves

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Fig. 13

Relevant uniaxial stress–strain curves for (a) C1, (b) C2, and (c) C3

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Fig. 14

Stress–time plots from numerical simulations for (a) C1, (b) C2, and (c) C3

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Fig. 15

Magnitude of (a) transmitted and (b) reflected stresses for each configuration at each material interface

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Fig. 16

P-up Hugoniot for the principal shock wave generated at the interface of (a) flyer and material 1, (b) material 1 and material 2, and (c) material 2 and material 3

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Fig. 17

Analytical results of shock wave propagation for (a) C1, (b) C2, and (c) C3

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Fig. 18

Magnitude of shock waves in each material

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Fig. 19

(a) Scenarios with different combinations of impedance reduction, (b) variation of transmitted stress, and (c) variation of tensile stresses. Flyer, target, and structure are not drawn to scale.

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Fig. 20

Numerical model for the SHPB test setup

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Fig. 21

Stress–time history plots for the (a) incident bar, (b) C2, (c) C3, and (d) transmitter bar

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